- Email: [email protected]
Target-thickness-angular-spread tables for proton and pion beams
ATOMIC
DATA AND NUCLEAR
DATA TABLES 15,477-5 12 (1975)
TARGET-THICKNESS-ANGULAR-SPREAD FOR PROTON
AND
E. V. HUNGERFORD Department
PION
TABLES BEAMS
and B. W. MAYES
of Physics, University of Houston Houston, Texas 77004
When passing through materials, a parallel beam of charged particles is given an angular divergence by multiple Coulomb scattering processes. Convenient measures of the spreading of the scattered beam are given by the standard-deviation angle, the full-width-half-maximum angle, and the full-width-tenth-maximum angle. These tables present the thicknesses of materials that produce these three angular spreadings in the range 5 to 60 mrad. Values are given for protons with energies between 200 and 850 MeV and for pions with energies between 50 and 700 MeV. Steps of 50 MeV are employed in both cases. The target materials are He, C, Al, Ar, Ca, Fe, Zn, Ge, Kr, Zr, Ag, Cs, Hf, Au, and Pb. The tabulated values were computed from Moliere theory with constants chosen to fit experimental data. Suggestions for interpolation in Z, A, particle energy, and angle are given.
Copyright @ 1975 by Academic Press, Inc. All rights of reproduction in any form reserved.
477
Atomic Data ad Nuclear Data Tdss, Vol. IS, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
CONTENTS
INTRODUCTION....................................................... Moliere Theory EXPLANATION Interpolation
478
OF TABLES . . . . . _ . . . . . . . . . . . . . . . . . . . . ; . . . . . . . . . . . . . . . . . . . 480
TABLE I. Target Thickness vs. Angular Spread for Protons . . . . . . . . . . . . . . . . . . . . . . . . . 483 Ep = 200 (50)850 MeV TABLE II. Target Thickness vs. Angular ET= 50 (50)700 MeV
Spread for Pions . . . . . . . . . . . . . . . . . . . . . . . . . . 498
Targets for Both Protons and Pions He Ar Zn Zr Hf C Ca Ge Ag Au Al Fe Kr Cs Pb
The Moliere theory expresses the distribution functions F(B,+,t) and f(t9,,#) as an infinite sum of terms with the Nth term representing N scatterings of the projectile as it passes through the material.4 The following approximations are made: (a) sin B = e; c0s 8 = 1, (b) Thomas-Fermi screening by atomic electrons, (c) No spin effects or target crystal structure (no dependence on $), (d) No scattering by atomic electrons, (e) All scattering due to the Coulomb force.
INTRODUCTION
Coulomb small-angle multiple scattering in target materials causes the divergence of a parallel beam of charged particles. The angular width of the scattered beam is important wherever beams of charged particles are used. In particular the design of nuclear scattering experiments and the radiodosimetry of particles require knowledge of the beam spread. Theoretical treatments of the problem have been based on the Boltzmann transport equation1 or on the series summation method introduced by Wentze12 and later extended by Molibre.3 The two methods lead to essentially the same results as has been shown by Scott.4 In a recent investigation5y6 the small-angle scattering distribution for both pions and protons has been measured and the original Moliere theory modified to fit the data. Without this modification the theoretical calculations were as much as 20% in error for the light elements. The tables presented here are calculated with this modified theory. They present the material thickness necessary to produce specific scattered distribution widths at eight angular values between 5 and 60 mrad for protons and pions.
X EXIT DIRECTION
/
Moli6re Theory
e
The Moliere theory3 yields two distribution funo tions F(~,I#Q) andf@,,t), where F(B,+,t) represents the probability per unit solid angle of scattering a particle into the direction (0,~) after traversing a thickness t of material and where f(e,,t) is the projection of F(e,$,t) onto the (x,z) plane. The distribution functions are almost Gaussian near the central region but have significant non-Gaussian tails. Figure 1 shows the scattering geometry.
Atomic Data and Nuclaor Data Tables, Vol. 15, No. 5, May I975
9 Y
INCIDENT DIRECTION
z
4
/Y Fig. 1. The multiple scattering coordinate system is shown. The particle is incident along the Z-axis, and the origin of the coordinate system is at the center of the target
478
HUNGERFORD
The angular distribution
and MAYES
Proton,
Pion
function is
F (b4t > = &
[2eps2 + F,(.s)/B + F,(.s)/B2 + . . e], (1)
where
X exp(-v2/4) h2/4 h (v2/4)1N with Jo(q) a Bessel function and s = e/(vcB1’2). The projected distribution
function is
fP,J) = (4h) 1’2e-S2 +fi(s)/B
+f2(s)/B2 + . -f, (2)
where
x expC--v24 h2/4 In W/W and s = e,/( VcB 1’2). The leading term in the series expansion for F[Eq.
(1)l and for f[Eq. @)Iis Gaussian. Terms in higher powers of 1/B most significantly contribute to the distribution functions at large angles. In these expressions B = 1.153 + 1.122 InGo;
Target-Thickness-Angular-Spread
Tables
energy in MeV; and mp and m, are the projectile and target masses, respectively, in MeV. The EL is the incident energy in the laboratory. The quantity E is introduced into the original Moliere result to take care of the center-of-mass to laboratory transformation of the Coulomb cross section. In Ref. 5 it was found that the center-of-mass correction is necessary to fit the data. Good agreement between theory and experiment, except for very large angles, was achieved for 600-MeV protons and lOO- to 250-MeV pions from targets of C, Al, Cu, Cd, and Pb. The best fit values of the parameters a and b in Eq. (3g) are a = (0.59 & 0.04) and b = (3.44 2 0.23).6 These values were determined by fitting data over a wide range of values for LY. The result is shown in Fig. 2. In this figure all known multiple scattering data for protons,5v8 electrons,g-ll and pion@ are plotted in terms of the value of Vti2 necessary to obtain the measured distribution widths. These data are fitted with a function of the form f(a") = a + ba2. The function f(a") is to be equated with I’: [Eq. (3g)]. The solid curve is the Moliere result, while the dashed curve is a fit ignoring the beryllium data of Hanson et al.ll which is represented by the upper two points at (Y2 = 6.9 x 10p4. The dashed curve was chosen as the most representative fit. In any event, as was pointed out in Ref. 6, the theory does not fit the low-Z data very well. Moreover, high-energy electron scattering requires additional corrections to the
(34 (3b)
Qt, = (v,/yJ2;
(3c)
&= [(EL+ mtI(1 + r)l . E’
102:
(34
’
r = mp (EL m, /mp + m, )/(E, mt E ’ = (rn: + rn: + 2E,m,) 1’2; va2 = Vo2(u + ba2); v, = (0.004209)2 1’3/pc ;
+ m, );
W "5. Id
(30 (3g)
::
Ph)
and
10°
a = zZ/(137/3).
1
Pi)
Here p is projectile momentum, P is the projectile velocity in units of c, p is the target density in g/cm2, and t is the target thickness in cm. The constants a and b determine the screening of the nuclear charge by the atomic electrons4 and are fitted to the data. The momenta and velocity in the above expressions are in the center-of-mass coordinates; the energy is the relativistic
Fig. 2. Plot off(az) versus m2. Solid line is the original Moliere result, and the dashed line is the new result of Ref. 6. Proton data (Ref. 5 and 8), pion data (Ref. 6), electron data (Ref. 9-11)
479
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Rutherford cross section that have not been included in the theory. The numerical values were obtained by iterative solution to Eq. (l), (2), and (3) for each energy and angle. Tail terms to second order in (l/B) are included
Tables
in the expansions, Eq. (1) and (2). The values of the center-of-mass momenta and velocity are obtained by averaging @cP)-~ over the target thickness. This corrects, at least to first order, for energy loss in the target. All calculations are relativistically correct.
References
1. S. T. Butler, Proc. Phys. Sot. Lond. A 63,599 (1950)
7. H. A. Bethe, Phys. Rev. 89, 1256 (1935)
2. G. Wentzel, Ann. Phys. (Leipz.) 69, 335 (1922)
8. H. Bichsel, Phys. Rev. 112, 182 (1958)
3. G. Moliere, Z. Naturforsch.
9. L. A. Kulchitsky 61, 254 (1942)
3A, 78 (1948)
4. W. T. Scott, Phys. Rev. 85,245
5. E. V. Hungerford
(1952)
and G. D. Latyshev, Phys. Rev.
10. A. I. Andrievsky, L. A. Kulchitsky, and G. D. Latyshev, J. Phys. (USSR) 6, 278 (1943)
et al., Nucl. Phys. A 197,5 15 (1972)
6. B. W. Mayes et al., Nucl. Phys. A 230, 515 (1974)
11. H. 0. Hanson et al., Phys. Rev. 84, 634 (195 1)
EXPLANATION
OF TABLES
The tables present, in pairs, target thicknesses which produce various values of the distribution function at the indicated angles. The upper number of a pair is the thickness required to produce the indicated value of the distribution function F(e,+,t) of Eq. (1) and the lower number that of f(@,,t) of Eq. (2). The first is the probability per unit solid angle of scattering a particle in the direction (0,+) and the second the projection of this value on the (x,2) plane. ANGLE
Laboratory
angle in mrad
ENERGY
Laboratory
energy of incident parallel beam in MeV
P C-M
Center-of-mass
SD
Standard deviation. Thickness in g/cm2 for which the distribution tion is 0.607 maximum at the given angle
FWHM
Full-width-half-maximum. Thickness in g/cm2 for which the distribution function is 0.5 maximum at the given angle
FW.lM
Full-width-tenth-maximum. Thickness in g/cm2 for which the distribution function is 0.1 maximum at the given angle
.840 + 3, etc.
0.840 x lo3
momentum
at front of target in MeV/c func-
If the thickness entry is blank, the kinetic energy of the projectile is reduced by at least a factor of 10 in passing through the last listed thickness of the scattering material or else the thickness of the material is greater than 50 g/cm 2. In either case the approximations of the Moliere theory lead to large errors in the calculated angular widths.
Atomic Data and Nuclear Doto Tables, Vol. 15, No. 5. May 1975
480
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
and MAYES
Tables
Thus to find the standard deviation angle for 5.07 g/cm2 of f;Mg for protons incident at 350 MeV, first determine that the SD angle for Al is 10 mrad. Then convert to obtain
Interpolation Figure 3 shows the scattering distribution for 350-MeV protons scattered by Al. According to the Table the thickness of Al necessary to produce a standard deviation of 10 mrad in the distribution width is 5.07 g/cm2. The Table also shows that the thickness of Al necessary to produce a full-width-half-maximum (tenth-maximum) angle of 10 mrad in the distribution width is 1.08 g/cm2 (0.348 g/cm2). The thicknesses for the SD, FWHM, and FW.lM angles of the projected distribution are 4.92 g/cm2, 1.04 g/cm2, and 0.326 g/cm2, respectively. The center-of-mass momentum for this case is 840 MeV/c.
SD,,
= # $$ ‘I2 kc I I/ I - 9.79 mrad.
(10 mrad)
To estimate the standard-deviation angle for 4 g/cm2 of Al for 350-MeV protons, first estimate that the angle is between 5 and 10 mrad which correspond to 1.46 g/cm2 and 5.07 g/cm2. The thickness is nearer 5 g/cm2 so SD
l/2
10 = 8.88 mrad.
For an estimate of the change in scattering angle for a given change in the lab energy one may use Fig. 4 and 5 which essentially plot fractional change in scattering per unit scattering angle for a change in incident energy if the change in B is neglected. As can be seen from Eq. (1) and (2), the distribution functions are
I
I
I
30
20
10
I
I LO
loo L 20
m300.lmm600702aoo9w
I
T(MeV1
J”
Fig. 3. A plot of the distribution function for 350-MeV protons on Al versus angle. The plot shows the relationship between the various tabulated distribution widths
Fig. 4. A plot of the fractional change in V, for a change in kinetic energy of the incident proton. The graph is obtained by neglecting center-of-mass effects and the dependence of the scattering angle on the value of B
Interpolated values may be found by using Eq. (3), neglecting the dependence on B and the center-of-mass correction. When this is done, the scattering angle depends directly on Z, inversely on A112, inversely on momentum times velocity, and directly on the square root of the target thickness.
Gaussian if only the term to zeroa order in l/B is retained. The standard deviation of this Gaussian distribution is Vc(B/2) lj2. However, since B is insensitive to changes in energy or target thickness, V, mainly determines the change in the distribution width. In using these graphs one may assume that the change in energy
Angle
,ar)
481
Atomic Data and Nuclear Data Tables, Vol. IS, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
is the same for both the lab and the center-of-mass system. The remaining Fig. 6 and 7 give kinematic values which may be helpful in a more exact calculation or interpolation. To estimate the standard deviation angle for 375-MeV protons incident on 5.07 g/cm2 of Al, obtain from Fig. 4 the value of (l/<)(dV,/dT) at 350 MeV. This is approximately -0.0023. The SD angle is 10 mrad at 350 MeV. Therefore the estimate is:
Tables
I-
PloNS
I-
= 10 - (0.0023) (10) (375-350) = 9.43 mrad.
-DOl
,I -
l&3
&3&&560600760&9& T ( MsV)
Fig. 5. A plot of the fractional change in V, for a change in kinetic energy of the incident pion. The graph is obtained by neglecting center-of-mass effects and the dependence of the scattering angle on the value of B
100
xx)
xx)
400
500
600
700
800
ioD2003004006006oD7oD6DDvoD
voo
T (MeV)
T (MeVV)
Fig. 7. A plot of the total energy, momentum, and velocity of a pion versus its kinetic energy
Fig. 6. A plot of the total energy, momentum, and velocity of a proton versus its kinetic energy
Atomic Dab and Nuclear Data Tab!w, Vol. 15, No. 5. May 1975
482
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS ANNE
5.00 SO
200 t4.98*21
2.17.*0 z.os*o
4.86-l 4.68-l
1.58-l 1.48-l
s.m+o 5.ss+!J
1.6140 i.56rO
5.45-l 5.12-l
3.12+0 3.0x+0
l.ll+O l.oIIO
4.73rn 4).59+0
l.Bl+o 1.71rn
250 t 5.59~21
3.17~0 3.07ro
7.26-l 6.96-l
2.36-l 2.20-l
8.7210 4.47+0
z.q1+0 2.33*0
8.14-l 7.65-l
b-65+0 4.50+0
1.65+0 1.56,0
7.06*0 S-84*0
2.70*0 2.56+0
300 1s.14+21
4.3s+g 4.2s+o
1.00+0 9.66-l
3.27-l 3.05-l
1.20*1 1.16*1
3.34+0 3.23+0
1.12*0 1.06+0
6.@3+0 6.22+0
2.25+0 2.17*0
9.7q*n 9.44*0
3.74+0 3.55+0
350 l6.66rZj
5.76.0 5.59+0
1.31+0 l-26+0
q.zEt-1 4.00-l
1.57*1 1.52*1
4.38+0 4.2410
1.q7*0 1.39+0
e-43+0 4.17+0
3.01*0 2. as+0
1.27.1 1.23+1
4.92+0 4.66*0
400 t 7.14+21
I.ZS+O ‘7.06rO
l-66*0 1.60*0
5.41-l 5.06-l
1.97*1 1.32+1
5.54+0 S-36+0
l.SC*O 1.76*0
1.06rl 1.03+1
3.81*0 3.60*0
l-60*1 1.55+1
6.21+0 5.Ssra
450 8.93+0 i 7.so+z I 8.66+0
z-04+0 l-96*0
6.63-l 6.21-l
2.41+1 2.3**1
h.BO*O 6.57+0
2.23+0 2.16rO
l-30+1 X.26*1
4.68+0 4.43+0
l-96+1 1.90*1
7.63+0 7.24*0
500 1.07+1 IS.o4+2 I 1.03+1
2.44*0 2.36.0
7.96-l 7.46-l
2.07*1 2.Ea0*1
a.15+0 7.1)sro
2.75rO 2.6010
l-56*1 1.51*1
5.61+0 S-32+0
2.3q+1 2.27*1
9.15+0 a.s9*0
550 t6.46+2)
1.26*1 1.22.1
2.68*0 2.78+0
9.37-l 8.79-l
3.*0*1 3.31+1
9.60*0 9.29*0
3.2410 3.06+0
1..S3+1 l.TSIl
6.61+0 6.27*0
2.75+1 t-67*1
1.07*1 1.02+1
600 ~S.S6+21
1.46tl 1.41.1
3.3q+o 3.23+0
1.08ro 1.02*0
3.09+1 3.79+1
1.11+1 1.07+1
3.76+0 3.56*0
2.12+1 2.06+1
7.6610 7.28+0
3.18*1 3.09+1
1.25+1 1.19+1
650 1.67+1 t 9.25*2 I 1.s2*1
3.n3+0 3.70+0
1.24+0 1.17+0
4.4q*1 *.32+1
1.27rl 1.2341
Y.32+0 4.oa+o
2.43+1 2.3641
8.8010 a. 35+0
s-64*1 3.53*1
1.43*1 1.36+1
700 t 9.s3+2,
1*tl5+1 1.8C.l
Y.3510 *.20*0
1*91*0 l-32+0
1.*4*1 1.40+1
4*90*0 4.63+0
2.75+1 2.6741
9.98rO 9.47+0
q.101 3.98+1
X.6211 1.54+1
750 2.12*1 I1.00+3 I 2.06+1
q.en+o 4.72+0
1.58*0 1.49+0
1.62*1 1.57+1
5.51*0 5.21+0
J.oB+l 2.99+1
1.1211 1.06rl
q.SG*l 4.46*1
1.82,1 1.73+1
BOO tl.o3+3)
2.36+1 2.30+1
5.95+0 5.26+0
1.77*0 l-66+0
1.91*1 1.75+1
6.14+0 5. al+0
3.43+1 3.33*1
1.25+1 1.18*1
2.03*1 1.93+1
850 t 1.07+3)
2.62+1 t-54+1
6.C13+0 5.83IO
1.96+0 1.44+0
2.00+1 1.9q.1
6.80+0 6.*4*0
3.79+1 3.68+1
i-38+1 1.31*1
2.24+1 2.1401
30.00 SD
FYHM
FYWW
FM .lM
SO
90.00 FY.ll
SC
FYHW
FYNN
20.00
SO
ANGLE
FY.lM
15.00
ENERGY IP c-m
ENERGY fP C-III
FYWN
lWROU6W HE
10.00
FY.lW
SD
50.00 FY.lM
200 14.98121
3.16+0 3.28+0
5.20.0 4.94+0
250 t5.59+2l
5.17.0 *.91+0
7.75+0 7.37+0
300 16.14+21
7.1PIO 6.79+0
1.0691 1.01+1
350 16.66*2)
s.51+0
9.37+0
1.39+1 1.33+1
a00 t7.14+21
1.1a+1 1.12+1
l-76+1 1.67+1
950 t7.60r2t
1.44*1 1.37+1
2.15*1 2.05*1
500 ta.o4+21
1.73+1 l.CS+l
2.57+1 2.45*X
5SO l8.46+21
2.0**1 1.94+1
3.0211 t.S8+1
600 tB.S6*2l
2.36*1 2.25+1
3.49*1 3.33*1
650 l9.25*2)
2.70+1 2.57+1
3.98,l 3.80*1
700 t9.63+21
3.0511 2.91*1
4.49.1 cl.29*1
750 11.00+31
3.42+1 3.26*1
600 (1.03+31
3.81,1 3.63+1
650 t1.07*3t
4.20+1 4.01+1
SD
FYWM
FYWll
FM .I”
60.00 FU.lH
SO
FYNM
FU.lM
ti.79+0 6.46+0
See page 480 for Explanation of Tables
483
Atomic Data and Nuclear Data Tabler, Vol. 15, No. 5, May 1975
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
and MAYES
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH C 5.00
ANGLE ENERGY IP c-n,
SO
FUHR
10.00 FY.lR
SO
FYHR
15.00 FY.lN
50
FYH”
2O.OC FY.lt4
SO
FUHW
FU.111
zoo (5.85*21
1.02+3 5.89-1
2.20-l 2.11-l
7.12-2 6.61-2
3.41+0 3.31+0
7.61-1 7.34-l
2.46-1 2.31-1
6.56'0 6.37+0
1.5s+o 1.51+0
5.11-1 4.81-l
9.a9+o S-62+0
2.3a+c 2.4s+c
8.57-i
250 IC.60*il
1.51+0 1..46+0
3.24-l 3.12-l
1.09-l 9.75-z
3.06+0 4.91+0
l.tP+O 1.0a+0
3.64-l 3.41-l
9.71*0 9.44W
2.31+0 2.23+0
7.36-l 7.13-1
1.46+1 1.42+1
S.aZ+O 3.70+0
l-26+0 1.20+0
300 (7.29+21
2.07+0 Z.OO+lJ
4.44-l 4.27-l
1.*3-l 1.33-l
6.95+0 6.74+0
1.54*0 l&9+0
u.ss-1 4.68-l
1.33*1 1.29+1
3.17*0 3.07*0
1.03+0 9.79-1
2.00+1 1.34*1
5.24*0 5.OWO
1.71(*0 l-64+0
350 17.93.2,
2.70+0 2.61*0
5.76-l 5.56-l
1.86-l 1.73-l
9.05+0 a.79+0
2.01+0 1.94+0
6.119-l 6.10-l
1.73+1 1.68+1
4.14+0 4.00+0
1.33+0 1.27+0
2.60+1 2.53+1
6.83+0 6.62+0
2.27+0 2.13*c
400 18.54+21
3.39+0 I.ZB*ll
7.24-l 6.97-1
2.33-l 2.17-I.
1.13.1 l.lO*l
2.52+0 2.43+0
8.1*-l 7.66-l
2.17*1 2.11+1
5.19+0 3.03+0
1.69*0 1.60+0
3.25+1 3.17+1
0.5a+o 8.31*0
2.55.+0 2.70*0
453 tS.l3+2,
4.13*0 4.00*0
8.81-i 8.49-l
2.83-l 2.65-l
l-38+1 1.3411
3.07*0 Z-97+0
3.92-1 3.34-1
2.64.l 2.5741
6.33CO h-13*0
2.06+0 lr9f+O
3.93*1 3.83*1
l-O@+1 l.Ol+l
3.47*0 3.23*0
505 l%.69+21
9.93+0 4.78*0
1.05+0 l-01+0
3.37-l 3.15-l
l-65+1 l-60+1
3.66+0 3.54+0
i.ia*o l-11+0
3.15+1 3.06+1
7.35*0 T-31+0
P-46.0 2.33+0
4.70+1 4.58*1
1.24+1 l-21+1
e-14+0 3.93ro
553 l1.02+3)
5.77ro 5.59+0
1.22+0 l.lB+O
3.94-l 3.69-1
1.93+1 1.8?*1
4.29+0 4.13*0
l-38+0 1.3010
3.6@1 3.5811
8.8~0 8.57+0
z.aa*o 2.73rO
l-46*1 1.41+1
4.85+0 4.61,0
600 (l-07+31
6.66+0 6.46+0
1.41*0 l-36+0
4.55-l 4.26-l
t-22+1 P-16+1
4.95.0 4.75+0
1.59+0 1.30+0
4.24*1 4.13+1
1.02+1 9.89+0
3.33*0 3.15+0
1.6a+l l-63+1
S-61+0 5.32*0
650 11.12+31
7.59+0 7.37+0
1.61+0 l-55+0
5.18-1 Y-85-1
2.54*1 2.47+1
S-65+0 5..46*0
l.aZ+O l-71+0
4.83*1 4.70*1
l-16+1 l-12*1
3.3a+o 3.60+0
1.52+1 1.86*1
6.39+0 6.07+0
700 il.l7+3l
8.57rO 8.32*0
l.aZ+O l-75+0
5-G*-1 5.47-l
Z-86+1 Z-76*1
6.37+0 6.17+0
2.03*0 1.94*0
1.31*1 l-27+1
4.29+0 4.06+0
2.16+1 2.10*1
7.22+0 6.86*0
750 11.22*31
9.59rO 9.30+0
2.03+0 l-96+0
6.53-l 6.12-l
3.2011 3.11+1
7.13+0 6.90+0
2.29+0 t-17+0
1.47+1 x.42+1
4. so*0 4.33+0
z-42+1 2.35*1
G.oa*o 7.67+0
800 tl.27+31
1.05+1 1.03+1
2.26.0 t.la+O
7.24-l 6.80-l
3.55+1 3.45+1
7.91+0 7.66*0
2.35*0 2.41+0
l-63+1 1.3Wl
3.33*0 3.03+0
2.68+1 2.61*1
a.97+0 9.52*0
630 ,l.32+3,
l.lTCl l-13*1
2.es+o 2.40*0
7.98-i 7.49-l
3.91+1 3.aO+l
a.73+0 a-45*0
t-81+0 2.66+0
1.791 1.74*1
3. w+o 3.38~0
t-96+1 2.87+X
s.Gs*o 9.41*0
ANOLE ENERGY ,P c-n1
30.00 SD
FYHR
60.00
4P.00 FY.lW
SD
FUHR
8.09-i
FU -111
SD
FUHW
FU.lW
SO
FUM
FY.lll
200 15.85121
5.07+0 4.91+0
1.76+0 1.67+J
7.57a 7.64+0
2.90*0 2.76+0
l-06+1 1.03+1
4.22a 4.02*0
5.67*0 5.40*0
250 16.60+21
7.51*0 7.28+0
2.61*0 2.47+0
l-16+1 1.13+1
4.9010 4.09+0
1.57*1 1.33*1
6.26+0 3.96+0
G.#O+O a-01+0
300 17.29+21
i-03+1 1.00+1
3.58+0 3.40*0
1.59*1 1.33+1
3.91+0 S-62+0
2.15+1 2.09+1
3.60+0 0.19+0
1.15*1 1.10*1
350 17.93*21
l-34+1 1.30+1
4.67*0 1.**+0
2.07+1 z-01+1
7.71+0 7.34*0
z.a0+1 2.72+1
1.12+1 l-06*1
1.50*1 1.13*1
400 18.54+21
l-68+1 l-63+1
5.87+0 f-56+0
Z-60+1 Z.St+l
9.6GrO 9.22.0
3.30+1 3.40+1
450 #9.13+21
2.05+1 l.SS+L
7.16+0 6.al+O
3.16+1 3.07+1
l-18+1 1.12*1
4.23+1 4.14+1
500 l9.69+2I
2.44+1 t-37+1
8.54+0 8.13*0
3.76*1 3.66+1
530 ll.O2+3l
z.a3+1 2.17*1
l.Oo+l s-53*0
4.40+1 4.2Wl
600 :1.07+3)
3.29*1 3.20'1
650 I1.12*31
1.8Wl 1.79*1 1.71*1 l-63*1
2.29*3 2.19*1
1.4011 l-34*1
2.04+1 1.93+1
2.73*1 2.61*1
l-63+1 1.57+1
2.39*1 2.2a*1
3.20*1 3.05*1
a-15+1 l.lD.1
1.90*1
hai*
Z-76*1 P-63*1
3.65*1 3.52*1
3.75+1 3.6..1
1.31+1 l-25+1
2.17+1 2.07.1
3.14*1 3.00*1
*.20*1 *.01*1
TOO 11.17~3)
9.22+1 4.11*1
1.4Ml l..l.l
2.44*1 2.33+1
3.34+1 3.39*1
a-73*1 *.32*1
750 11.22+31
4.72+1 4.59.1
l-66+1 l-58+1
2.73+1 2.61+1
3.96*1 3.79+1
800 I&.27+31
l-811+1 l-76,1
3.03+1 2.90+1
4.39+1 4.20+1
a50 11.32+3l
2.03+1 1.9r.1
3.34+1 3.19+1
h-84*1 a-63*1
See page 480 for Explanation
of Tables
Uomic Data and Nuclear Data l.aMe,, Vol. IS, No. 5, May 1975
484
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTON5 ANGLE ENERGY IF C-MI
5.00 50
FUHU
THROUGH PIL 15.00
10.00 FU.lt4
SO
FYHN
FU.lN
SO
FNHN
20.OE FU.lU
SO
FYHM
FU.111
200 C6.16.2,
5.6"-1 5.51-l
1.20-l 1.15-1
3.89-2 3.59-2
1.93+0 1.n,+lJ
9.16-l 4.01-I
1.39-l 1.25-l
3.92*0 3.61*0
8.63-I 8.33-l
2.78-1 2.61-1
s.3*+0 6.16*0
l.@YIO 1.39rC
4.68-i 4.11-l
250 ,6.96+2)
8.25-i 7.97-l
1.76-1 1.69-l
5.70-Z 5.27-2
2.85,0 2.77+(1
6.12-1 5.90-l
1.97-1 1.84-l
5.79+0 5.62*0
1.27*0 1.22*0
4.09-1 3.85-l
9.36G 9.10*c
2.12+0 Z-05+0
6.89-1 6.5G-1
300 17.7ll12,
1.12*0 1.0610
2.39-l z.zo-1
7.79-z 7.18-Z
3.90+0 3.79."
8.35-l 8.06-l
2.68-l 2.51-1
7.92*0 7.70+0
1.73+0 1.67*0
5.59-l 5.26-l
1.28+1 1.211*1
2.91*0 2.61+C
9.42-l 8.89-i
350 lFJ.~o+zl
1.46.0 1.91+0
3.10-l 2.36-l
1.00-l 9.30-z
5.07+0 u.92+0
i.oa+o :.04+0
3.118-l 3.26-l
1.03'1 1.00+1
2.25*0 2.10+0
7.25-l 6.63-l
3.7a+o 3.ssrc
1.22+0 1.15*0
900 19.0s+21
I.8210 1.7s*o
3.87-l 3.72-l
1.24-l l.l‘-1
6.35+0 6.16+0
1.35+0 1.30*0
Y.38-1 4.08-l
l.za+l 1.25*1
2.82+0 2.72+0
9.07-l 8.55-l
z.on+1 2*c2*1
*.73*0 4.5e+o
1.53+0 1.49+0
us0 i9.70+2l
2.2210 2.15+0
4.70-l 4.52-l
1.51-l 1.90-l
7.72.0 7.50*0
1.64'0 1.59*0
5.28-l 5.96-l
1.56,1 l.St*l
3.43+0 3.31*0
1.10+0 1.04*0
Z-52+1 2.46+1
5.75+0 5.57+0
l.a6+0 1.76+0
500 (1.03+31
2.59+0 2.5510
5.58-l 5.37-l
1.79-l 1.67-l
9.19.0 n.93*0
1.95+0 l-89+0
6.27-l 5.89-l
1.66+1 l.al+l
4.oa+o 3.94+0
1.31*0 1.23*0
3.00+1 2.92+1
6.8@+0 6.63+0
2.21+0 Z-09+0
550 11.09+31
3.0810 2.99*0
6.51-1 6.27-l
2.09-l 1.95-1
1.07+1 l.O@,l
2.28+0 2.20*0
7.32-l 6.69-l
2.1a+1 2.12*1
4.76*0 9.61*0
1.53+0 1.44+0
3.51+1 3.@2+1
a.oo+o 7.7500
2.58+0 Z.kIIO
600 t1.14*3,
3.55.0 3.*4+0
7.99-l 7.21-l
2.40-l 2.24-l
1.23+1 1.20*1
Z-63+0 z-54+0
a.43-1 7.93-l
2.51+1 2.44+1
5.*9+0 5.31*0
x.76*0 1.66+0
4.04+1 3.93*1
9.22.0 n.9q*c
2.98+0 z.az+o
650 11.20+31
q.oe+o 3.92.0
8.52-l 8.20-l
2.73-l 2.55-l
1.40+1 1.36+1
2.99+0 P-89*0
9.59-1 9.03-l
2.85+1 2.77+1
6.25,0 6.05IU
2.00*0 1.n9+0
4.59*1 1.@7+1
l.o@+l 1.01+1
3.39+0 3.21+0
700 11.26+3)
4.55+0 4.41+0
9.58-l 9.23-l
3.07-l 2.87-l
1.5ar1 1.59+1
3.37*0 3.26+0
1.07*0 1.01+0
3.21+1 3.13+1
7.04*0 6.82+0
2.26+0 2.13+0
1.1n+1 l.lWl
3.02+0 3.62+0
750 t1.31r31
s.oa+o 9.93+0
1.06*0 1.03+0
3.43-l 3.20-l
1.77*1 1.72+1
3.76*0 3.64*0
1.20*0 1.13+0
3.50*1 3.49+1
I.a6+0 7.62*0
2.52*0 2.38+0
800 11.37*31
5.63,0 5.46+0
1.10+0 1.1a+0
3.79-l 3.55-l
1.96*1 1.91+1
4.17+0 4.03+0
1.33+0 1.25+0
3.97+1 3.87+x
8. a+0 a.44+0
2.79+0 2.64+0
1.4fi+1 1.42*1
4.73*0 k.49+0
a50 l1.42*3)
6.20+0 6.02+0
1.30+0 1.25+0
4.17-1 3.91-l
2.16+1 2.10+1
4.59+0 P.4@*0
1.4s+o l-38+0
4.37+1 4.26rl
9.59+0 9.30+0
3.oaeo 2.91*0
1.61+1 1.56*1
5.21*0 4.94+0
4.26+0 I.OWO
- - - - - - - -- - - -- - _ ANGLE
30.00
40.00
ENERGY 4P c-n,
SO
FNHN
FY .lN
200 16.16+21
1.17+1 1.1e+1
2.95*0 2.86+0
9.73-l 9.20-l
250 l6.96+21
1.73*1 1.68*1
9.35+0 *.22+0
300 17.70+21
2.36+1 2.30+1
350 18.40+21
5lJ
FU .lR
SO
FYWN
60.00 FU.111
SO
FYUN
FY.lll
4.83*0 4.68+0
1.6300 1.54*0
6.96+0 5.75+0
2.42*0 2.30+0
9.24*0 n.97+0
3.33*0 3.17*0
1.43+0 1.35+0
7.13*0 6.91+0
2.40+0 z.za*o
1.02+1 9.97+0
3.57+0 3.40+0
1.3691 1.32+1
4.92+0 4.61+0
5.96+0 5.78.0
l-96+0 l-86,0
9.75+0 9.46+0
3.29+0 3.12+0
1.40*1 1.36+1
4.(19*0 4.66+0
1.86+1 1.8lrl
6.74+0 6.42+0
3.06+1 2.9811
7.74+0 7.51+0
2.55+0 2.*1+0
1.26+1 1.23*1
4.2a+o 4.06,0
l.az+i 1.77+1
2.4141 2.35+1
6.76*0 a.35+0
400 19.06+2>
s.a3+1 3.73rl
9.69+0 9.40*0
3.19+0 3.03+0
1.5Wl l.b*+l
5.36+0 5.09*0
2.26+1 2.21*1
7.97+0 7.59+0
3.02*1 2.94fl
1.09+1 1.04*1
450 19.70+21
4.6W.l 4.53+1
1.17+1 1.14+1
3.88+0 3.68.0
1.92+1 1.a7+1
6.52+0 6.20,0
2.77+1 2.69+1
9.70+0 9.24+0
3.67+1 3.57+1
1.33+1 1.27+1
500 11.03+31
1.qo+1 1.36.1
4.62+0 4.39*0
2.29+1 2.22*1
7.76+0 7.39*0
3.29+1 3.20*1
1.15+1 1.10+1
4.36+1 4.24+1
1.51*1 1.51*1
550 11.09+31
1.64+1 1.59*1
5.40*0 5.13*0
2.68.1 2.6011
9.oa+o a.64*0
3.8511 3.74+1
1.35+1 1.20+1
1.85*1 1.77*1
600 ll.llr31
1.88*1 1.83+1
6.23+0 5.92+0
3.0a*1 3.00+1
1.04+1 9.96,0
4.43+1 4.31+1
1.55+1 1.40+1
2.14+1 2.04*1
650 l1.20+3)
2.15+1 2.08+1
7.09+0 6.74+0
3.51+1 3.41+1
1.19+1 1.13+1
1.77*1 1.69+1
2.43*1 2.32+1
700 11.26+3)
2.42+1 2.35*1
7.99+0 7.60,0
3.95+1 3.a4rl
1.34*1 1.27+1
1.99*1 1.90*1
2.74*1 2.62+1
750 11.31.3,
2.70+1 2.62*1
a.92+0 8.119+0
11.41*1 e.29.1
1.5011 1.43*1
2.23.1 2.12*1
3.06+1 2.92+1
800 11.37+31
2.93*1 2.91+1
9.9010 9.e2+0
l .an+1 k-75+1
1.66+1 I.5811
2.47+1 2.36*1
3.39+1 3.24+1
850 ,I..2131
3.29*1 3.20+1
1.09*1 1.03*1
1.83.1 1.74*1
2.72+1 2.60+1
3.73*1 3.57*1
See page 480 for Explanation
1.69+1 i-64+1
FYHN
50.00
of Tables
485
Atomic Data and Nuclear Dota Tables, Vol. 15, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS
ANOLE ENERGY IP c-n,
5.00 SD
FUHM
200 16.25rZl
@.56-l
9.79-2
4.10-l
9.38-z
250 l7.D6+21
6.69-1
1.43-l
6.46-l
1.37-1
300 17.aZrZl
9.11-1 8.80-l
350 18.53+21 900
FY.lR
SC
FYHtl
1.59+0 1.53+0
3.38-l 3.25-l
1.09-l 1.01-l
9.63-Z q.za-2
2.?2+0 2.25+0
r).96-1 4.79-l
1.99-l 1.86-l
6.28-Z
3.17+0 3.0810
6.76-l 6.51-l
i.ia+o
2.51-1
4.12+0
1.14+0
2.51-l
6.11-Z 7.51-2
q.oo+o
l9.21+21
1.47+0 1.*2+0
3.12-1 3.00-l
1.00-l 5.36-2
5.1510 5.00+0
450 I 9.86+2)
i.78+0 1.73+0
3.79-l 3.6*-1
1.22-1 1.13-1
500 ll.OY+Sl
2.12+0 2.05+0
*.q9-1 0.32-l
550 11.11*31
z..w+o 2.9010
5.23-l
5.03-l
600 11.17+31
2.85+0 Z-76+0
6.01-l
650 l1.22+3)
FUHM
zo.oc FY.111
SO
FYHM
FU .lhl
7.02-l 6.77-l
2.26-l 2.11-1
5.31+0 5.16+0
l.l7+G 1.13*0
3.50-l 3.57-l
1.59-1
9.77+0
l.q9-1
II. 63*0
1.03+0 5.95-1
3.31-1 3.11-l
7.82+0 7.60+0
1.73+0 1.67+0
5.58-i 5.25-l
2.17-1 2.03-l
6.52+0 6.33+0
1.40+0 1.35+0
9.51-l q-21-1
1.06+1 1.03+1
2.36+0
7.61-l
2.2aeo
7.17-1
8.75-l 9.93-l
2.81-l 2.63-l
8.4610 8.22*0
l.az+o 1.76*0
5.85-l 5.50-l
1.38+1 1.35+1
3.06+G 2.96+0
9.86-1
1.09+0
3.50-l 3.28-l
l-06+1 1.02*1
2.27+0 2.20+0
7.30-l
1.73+1
1.05+0
6.87-1
1.68,1
3.az+c 3.70+0
1.23+0 l.t6*0
6.26+0 6.07*0
1.32+0 1.27+0
q.zq-1 3.98-i
l.ta+l 1.25+1
2.76+0 2.67+0
8.86-i 8.35-i
2.05+1
4.65+C q.so+o
1.49+0 1.u+o
1.01-l 1.30-l
7.a**o 7.22’0
1.57+0 1.51+0
s.oq-1 0.73-l
1.52+1
3.28+0 3.17+0
1.05*0 9.93-l
2.50+1
z&3+1
6.52+0 5.35*0
1.77+0 1.68+0
1.68-I 1.56-1
a .69+u a.w+o
i.a3+0
5.88-l
1.78+1
3.83+0
5.52-l
1.73+1
3.71*0
1.22+0 1.15+0
2.92+1 2.awi
6.45+0 6.25*0
2.07*0
1.77+0
1.00+1
2.11+0 2.owo
6.76-l 6.35-l
2.06+1
5.79-l
1.93-1 1.50-l
e.41*0 q.27+0
r.e1*0 1.33*0
3.36+1 3.27*1
7.q3+0 7.20*0
2.39+0 2.26*0
3.2*+0 3.11(+0
6.83-l 6.57-l
2.19-1 Z.OI-1
1.13+1
2.*0+0 2.32+0
7.68-l
t.60+0 1.51+0
3.82+i
7.22-l
2.33*1 2.2711
5.02+0
1.10*1
3.72*1
ads+0 a.l9+0
2.71*0 2.57+0
3.65+0
2.63+1
5.65+0
l.aO+O
2.56+1
5.*7+0
1.70+0
Q.30+1 1).19+1
9.5210 9.22+0
3.06+0 z.as+o
2.93+1 2.55+1
6.30*0 6.10+0
2.01+0
q.SO+l
#.6a+l
1.06+1 1.03+1
3.ql+O
1.90+0
3.25+1 3.16+1
6.9810 6.76+0
2.23+0 2.11+0
1.17+1
3.78+0 3.58+0
3.57*1 3.48+1
7.68*0 7.45+0
2.@6*0 2.32+0
1.29+1 1.25+1
5.81-Z
9.72+0
7.68-l 7.39-l
2.46-l
l.ta+l
2.70+0
3.53*0
2.30-l
1.2*+1
2.61*0
a.6b1 8.13-l
750 11.3*+31
q.o7+0 3.911+0
8.56-l 8.25-l
2.75-l 2.56-l
1.43*1 1.39+1
3.01*0 2.91+0
9.07-l
9.qa-1
3.01-i
11.39+31
l .51+0 q-37+0
9.13-i
2.84-l
550
@.96+0
l.OWO
b.Sl+O
l.OO+O
tl.t5+3)
SO
3.29+0 3.14+0
ll.28+33
a00
AR 15.00
FY.lW
3.1s~i 2.93-2
700
,“RO”BH
10.00
9.6+1
1.58*1 1.51+1
3.3*+0
1.06*0
3.22+0
l.OO+O
3.34-l 3.12-1
1.74+1
3.67+0
1.17+0
1.69+1
3.55+0
l.lO+O
FY.lH
so
FYWll
FY.lW
AN6LE
i.qa+i
1.99*1
bas+o
2.10+1
i.i*+i
50.00
qo.00
1.96+0
3.23+0
q.lC+O 3.9q+o
60.00
ENERBY IP c-n,
so
200 16.25+2l
1.02*1 %.95+0
2.*2+0 2.34+0
7.91-1 7.q7-1
1.51+1 1.50+1
q.0140 3.aa+o
1.32*0 1.25+0
5.86+0 5.68+0
i.sa+o i.amo
7.09+0 7.66rO
2.71*0 2.60*0
250 t7.06+2#
1.50+1 1.@6*1
3.57+0 3.q5+0
1.16+0 1.10+0
2.26*1 2.21+1
5.90*0 5.72*0
1.95+0 l.as+o
8.63,0 5.37+0
2.92*0 2.77+0
1.16+1 1.12+1
@.03+0 3.awo
300 t7.azr2)
2.05*1 z.oo+i
ba7+0 q.7Z.o
x.58+0 1.50+0
3.09+1
a.o7+0 7.82+0
2.67+0 2.53*0
1.17+1 1.1*+1
3.99+0 3.79*0
1.58+x 1.5Wl
5.25*0
350 l8.53+2)
2.66+1 2.59+1
6.32+0 6.13*0
2.06+0
*.00+1
1.95+0
3.90*1
1.01+1 1.01*1
3.47ro 3.29+0
1.53+1 l.*a+l
s.ia*o e.92+0
2.06+1 2.00+1
7.16*0 s.a2+0
400 1%.21+2l
3.32+1 3.2qr1
7.91*0 7.67+0
2.57+0 z.qq+o
1.99+1
1.30+1 1.27+1
q.33*0 1.12+0
1.91+1 1.95+1
6.10,0 6.16*0
2.67*1 2.50+1
R.96+0 5.5WO
@SO (9.86*21
1.01*1 3.93+1
9.61+0 5.32+0
3.13+0 2.96+0
1.5941
5.27+0 5.01*0
2.32+1 2.25+1
7.aaeo 7.50+0
3.12+1 3.04+1
1.09+1 1.03rt
q.79+1
1.11*1 1.10+1
3.72+0 3.53+0
l.as+i
6.27+0 5.96+0
2.76*1 t-68+1
9.37+0 a.s2+0
3.71+1 3.61+1
1.29+1 1.23*1
1.33*1 1.29*1
*.3q+0
2.20*1
11.11*31
q.12+0
2.1q*1
7.32+0 6.97+0
3.22*1 3.13*x
1.09*1 l.OWl
*.33+1 4.21+1
1.51+1 l.@Wl
600 11.17+31
1.53+1 1.49*1
s.oo+o q.75*0
2.5@,1 z.q7+1
a.w+o a.03+0
3.7191
1.26+1
3.60*1
1.20*1
e.98+1 has+1
1.74*1 1.66+1
650 tl.22+3)
1.7q*1 1.69+1
5.69+0
2.89+1 t.al+l
9.60*0
*.21+1 q.lO+f
1.43+1 1.36+1
1.9a+i 1.59*1
700
1.96+1 1.91+1
a. 7q+1 1.6lrl
1.61*1
6.09+0
3.25+1 3.16*1
i.oa+i
tl.28+31
2.23+1 2.13+1
750 l1.3*+31
2.19+1 2.13*1
7.15+0 6.80*0
3.63.1 3.53+1
1.20+1 1.15+1
i.ao+i
1.72*1
2.*9+1 2.3a+l
800 ll.39+31
z-*3+1
7.93+0 7.51)+0
q.o2*1
2.36+1
1.33+1 1.27+1
2.00*1 1.9011
2.76+1 2.6*+1
a50 11.*5+31
2.6711 2.60+1
8.73+0 a.31+0
5.*2+1
1.*7+1 1.9011
2.20+1 2.10+1
2.9011
500 11.0W31
4.67+1
550
See page 480 for Explanation
5.*1*0 6.*1+0
3.01+1
q.a7*i
1.5q.1 i.a3+1
3.91.1
9.30+1
9.1e+o 1.03+1
of Tables
Atomic Dam md Nuclea, Dot.= Tables, Vol. 13, No. 5, Mq’ 1975
486
SO
9.30-l
FUWf4
FU.ltl
1.5Wl
SO
FUWM
FU.lll
5.52+0
3.04*1
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
and MAYES
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS 5.00
PNGLE ENERGY IP
FUH"
S@
THROUGH
Cb
10.00 FU.lM
50
FUHM
20.00
15.00 FY
-14
SO
FYHM
FY.111
FYHH
SO
FY.111
c-n, 3.75-l
8.07-2
2.62-2
I.3010
2.78-l
5.77-l
1.86-l
s..o+o
9.63-l
3.62-1
7.73-2
2.41-2
l-26*0
2.68-l
8.98-2 8.36-2
2.67+0
16.25121
2.59+0
s-57-1
1.7*-1
0.27+G
3.36-1
2.93-l
250 lT.il6+2I
5.50-l 5.31-1
1.17-1
3.82-2
1.91+[1
5.oa-1
1.31-l
3.93+0
8.18-l
2.72-l
6.@7+C
1.12-1
3.52-2
l-85+0
3.93-l
1.22-l
3.82+0
8.18-1
2.55-l
6.29+0
1.42+0 1.37*0
4.59-l 4.31-l
300 17.32+21
7.49-l 7.23-l
1.59-l 1.53-l
5.17-2
2.61*U
1.15+0
3.71-l
8.8@+0
1.91(*G
6.25-l
2.53+0
1.78-l 1.66-1
s-37+0
4.70-2
5.55-l 5.35-l
5.2210
1.11+0
3.*8-l
8.60+0
l-87+0
5.83-1
350 ,a.53+2,
9.69-l 9.37-l
2.06-l
3.39*0
7.19-l
1.es+o
,.80-l
6.33-1
6.77+0
1.w+o
N-51-1
1.14*1 1.11*1
2.51+0 2.43+0
8.10-l
3.2810
2.30-l 2.16-1
6.37*0
1.93-1
6.67-2 6.18-2
400 19.21+21
1.21+0 1.17+0
2.57-l
a-30-2
4.23+0
8.37-1
2 .a 7-1
8.7210
5.33-1
1.13*1
7.69-2
e-11+0
8.65-l
2.69-l
8.e7.0
5.64-l
1.39+1
3.1Q+c 3.04+11
1.01+0
2.&6-l
l.a6+0 l.ao+o
r5g 19.86+2J
1.*E.+o 1.92rO
3.11-1
1.00-l
7.27-l
l-T@+1
3.a2+c
3.27-l
1.05*1 1.03+1
t-26*0
9.32-2
l-08+0 1.05*0
3.e8-1
2.99-l
5.1e*o 4.99+0
2.13+0
6.85-l
l-69+1
3.69+0
1.22+0 l-16*0
1.7*+0
3.69-l
1.18-1
6.11+0
1.290
4 -14-l
l-25*1
2.63+0
8.61-l
l
1.95+0
1.6810
3.54-l
1.10-l
5.33+0
1.24.0
3.88-l
r-22+1
2.so+o
8.111-l
2.07rl 2.01+1
e-39+0
1.37*0
2.03+0 1.97*0
Y.30-1
1.38-i 1.28-l
7.1010 6.93+0
1.50*0 1.*5+0
Y-82-1 b-53-1
1.*7*1
3.x*+0 3.01*0
1.00+0
2.e2+1 2.35+1
5.3010 5.13*0
1.70+0 l-62+0
8.22+0 7.98+0
1.73+0
5.55-l 5.21-l
l-69+1
3.62rO 3.50*0
1.15+0
2.78+1 2.71*1
6.1010
1. CI+l
5.31*0
l-96+0 1.a5*0
1.37+0 1.30+0
6.30-l
1.9211
*.11+0
1.31+0
5.32-1
l-87+1
3.38+0
1.2u+o
3.16*1 3.08*1
6.94+0 6.72+0
2.22*0 2.lOCO
200
500 11.05+3l 550 ~l.ll+Jl
9.13-l 4.9r(-1
1.59-1
11.75-l
1.48-l
600 11.17+31
2.3*+0 2.26,0
650
2.66+0
5.61-l
1.80-I
9.35+0
2.5710
5.33-l
1.68-l
3.08*0
l1.22+31
l-67*0
l.c13,1
3.50-1 1.03+0
.55+0
3.12-l
7.64-l
3.54-1
2.99+0
6.30-l
2.02-l
1.05*1
2.21*0
7.03-1
Z-16+1
4.63+0
7.81*0
2.50*0
2.9010
6.07-l
1.89-l
1.02+1
2.1**0
6.66-l
t-10+1
*.*a+0
l&8*0 t.*o*o
3.56+1
(1.28+3)
3.Q6+1
7.57+0
t-37+0
750 l1.311+3)
3.39+0 3.23*0
7.03-l 6.76-l
2.25-l 2.10-l
1.17+1
2.e7+0 2.39.0
7.90-l 7-W-l
2.*1+1 2.35+1
5.17*0 5.00*0
l-65+0 L-56+0
3.97+1 3.87,l
a-72+0 8.05~0
2.00+0 2.65+0
800
3.70+0
7.77-1 7.,9-l
2.53-1
1.30*1
2.73+0
8.75-l
2.68*1
s-13+0
l-83+0
4..0*1
9.66*0
3.58,0
2.33-l
l-26+1
t-6*+0
8.21-l
2.60+1
5.55+0
1.73*0
a-28+1
9.37+0
3.10*0 2.93*0
@.OlCO 3.9v+o
8.55-l
2.74-1
1.43*1
3.01*0
3.62-1
l.06.1
1.33+1
2.31*0
3.06-1
6.30+0 6.1OCO
e.awl
2.56-l
2.3.*1 P-87+1
2.01+0
8.23-l
1.34*0
4.71*1
1.03*1
FY.lR
so
FUHM
700
11.33r31 a50 11.*5r31 --------
- -___
ANGLE ENERGY IP c-n,
1.1**1
-_. 30.00
SO
3.@1+0 3.23+0
FYHM
10.00
FY.lh
SO
FYHM
50.00
60.00 FU.14
SO
FUH"
FU.lI(
8.5*+0
2.omo
1.30+1 l-26*1
3.31+0 3.21+0
2.26+0
a-70*0
l-63+0 l-s@+0
6.57W
1.03*0
l-73+1 l-68*1
4.85cO
1.33+0
6.51-l 6.14-l
1.03+0
a-31+0
6.37*0
2.1~0
l-25+1
2.9.+0 2.84*0
9.56-l 9-o*-1
1.31*1 l-86+1
q-87+0 4.72rO
l-60+0 1.5210
2.54+1 2.~7+1
7.15*0 6.33+0
2.*0+0 2.28+0
3.67+0 9.39+0
3.32+0 3.1wo
1.71+1
*.01+0
2.61+1 2.51)+X
6.66ro 6.06*0
3.76rO
3.28+0
3.83*0
1.30*0 l-23+0
2.19+0
l-67+1
2.08+0
s.n7+0
3.x1*0
l-32+1 i.zG+l
e-32+0
2.22*1 2.16rl
5.21*0
3.38*1 3.30*1
a-38+0
2. as+0 2.70+0
l-26*1 l-23+1
a-26+0 ..05+0
5.90+0
5.09+0
l-63+0 l-60*0
1.71+1
l8.53*21
l-66+1
5.61.0
400 ,9.21+21
2.78+1 2.70*1
6.51+0 6.31+0
2.11+0 2.0010
*.22+t
l-08*1 1.01*1
3.56*0 3.38+0
l-58+1 1.53+1
5.33*0 5.06+0
Z-11)+1
7.38+0 7.03.0
150
3.37*1
2.57+0 2.43+0
1.31+1
*.33+0
1.32+1
6.47+0
2.60+1
3.28*1
7.91*0 7.6740
l-27+1
a-11+0
l-86+1
6.16+0
2.5211
8.37+0 a-55+0
Y.oo+l
3.ro*o
l-56+1 1.51+1
5.15+0 4.89+0
7.70+0
3.12*0
3.05+0 z.as+a
2.28+1
3.90+1
2.22+1
7.33+0
s.aG+l 3.00+1
1.as+1 1.01*1
4.67.1
1.09+1 l-06+1
3.56.0
i-82+1 1.77.1
6.0X+0
2.67*1
9.00+0
3.60+1
1.21+1
S-72+0
2.53+1
8.57+0
3.50+1
1.18.1
e-11)+1
1.e3*1
e-03+1
1.3Wl
*.71+1 9.58+1
1.s3+1 l-55*1
200 (6.25121 250 17.06r21 300 17.82+21 350
l9.86+2) 500 t1.05*31 550 11.11+31
1.22+1
4.55*1
J-38*0
b.ll,l
8.64*0
z.m*1
b-S@+0
600 11.17+31
1.26+1
l .10+0
1.22+1
3.83+0
2.09+1 2.03+1
6.32+0 6.590
3.07+1 2.98+1
1.03*1 3.07*0
650 11.22+31
1.e3+1 1.39*1
C-67+0 4.43+0
2.38.1 2.31*1
7.88+0
l-17,1
7.50+0
3.*9*1 3.33+1
700 l1.28+31
1.6141
5.2i+o 4.99.0
2.68*1
8.87+0 8.15*0
3.33+1
1.57+1
3.82+1
l-32*1 X.26+1
750
1.80.1 1.75+1
5.87+0 5.58+0
2.93+1
3.4*+0
..38*l q-26*1
l-*8*1
2.05+1
2.31+1
1.e1+1
l-36+1
2.00*1 1.90.1
6.5010 6.18+0
3.31.1 3.2241
1.09+1
l
11.39+31
l.OWl
1.72*1
l-64+1 l-56*1
2.27+1 2.17*1
a50 11.4513,
2.20+1 2.19*1
7.15+0 6.81+0
3.65+1 3.54*1
1.20+1 1.15+1
1.80*1
2.50+1
l-72*1
2.39+1
11.34.3,
a00
See page 480 for Explanation
2.6011
3.31.0
of Tables
487
.85+l
1.12+1
l-83+1 1.75+1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS 7HROUGH FE ANGLE
5.00
10.00
FUHM
FYHH
15.00
zc.oc
ENERGY tF C-r!,
SD
ZDD 16.30~2t
3.23-I 3.12-1
6.93-2 6.63-2
2.23-2 2.09-i
1.12+0 l.OE+G
2.40-l 2.31-l
7.77-2 7.21-2
2.32+0 2.21*0
4.98-l 4.80-l
1.60-l 1.50-l
3.84wci 3.73+0
8.36-l 8.06-l
2.69-I 2.52-l
250 17.12+21
4.73-l 4.56-l
1.01-l 9.74-2
3.30-2 3.04-I
1.65+0 1.59+[1
3.51-1 3.37-l
1.13-I 1.05-l
3.4010 3.30+0
7.23-l 7.03-l
2.34-I 2.13-I
5.64*C 5.40+0
1.22*a 1.1a+c
3.34-l s.io-1
302 17.89+21
6.43-l 6.20-l
1.37-l 1.31-l
4.46-2 4.11-2
2.24+0 2.17+C
4.77-l 4.53-l
1.53-l 1.43-l
4.64+0 4.5010
9.91-l 9.56-l
3.1a-I 2.98-I
7.69+0 7.47+0
l-66+0 1.61+0
5.36-I 5.04-l
350 tE.61+21
8.30-l 8.02-l
1.77-1 1.70-l
5.74-2 5.30-2
2.90*0 2.81*0
6.16-l 5.33-l
1.98-l 1.84-l
6.01+0 5.Ul*0
l.ZG+O 1.23*0
9.11-l 3.86-l
9.97+0 9.69rG
2.1510 2.OGIC
6.93-l 6.52-l
900 15.30121
1.03+0 l.OU+ll
2.20-l 2.11-1
7.13-Z 6.59-2
3.62+0 3.51+4
7.67-l 7.39-l
2.46-l 2.30-l
7.51+0 7.29+0
1.59*0 1.54+0
5.12-I Q.81-1
1.24+1 1.21*1
2.6%+0 2.6C+G
8.64-l 8.14-I
450 19.36+2)
1.25+0 1.21+0
2.66-I 2.56-l
8.61-2 7.98-Z
*.lt0*0 4.27*4
9.23-l 8.96-l
2.90-1 2.73-l
3.12+0 8.86CO
1.93+0 I.G7,0
6.21-l 5.84-l
1.51*1 1.47*1
3.26*0 3.16+C
1.04+0 9.88-1
SO0 (1.06+31
1.*a+o 1.43+0
3.15-l 3.03-l
1.01-1 9.45-2
5.23+0 5.07+4
1.10'0 1.06+0
3.53-1 3.31-l
l.OWl 1.05*1
2.11+0 2.22+0
7.37-1 6.33-l
1.79+1 1.74+1
3.07+0 3.75*0
1.29*0 1.17+ll
550 ll.l2*31
1.73+0 1.67+0
3.67-I 3.53-1
J.lS-1 1.10-l
S.fO+O 5.92+0
l.zG+o 1.24*0
4.11-l 3.86-l
1.2s*1 1.22Cl
2.68+0 2 .s9*0
8.59-l 8.09-l
2.09+1 2.03+1
4.52+0 4.3GIC
1.45+0 1.37*0
600 ll.lB+Jl
1.99+0 1.93+0
4.21-l 4.05-l
1.35-l I.26-1
7.0210 6.81+0
1.47+0 1.42*0
4.73-l 4.43-I
1.45+1 1.41+1
3.08*0 2.9810
9.07-1 9.30-l
2.4x+1 2.34+1
5.20+0 5.oe+o
1.66+0 1.57+0
is0 ll.m+3l
2.26+0 z.19*0
4.78-l 4.60-l
1.54-I 1.43-I
7.98,0 7.74+u
1.67*0 1.61+0
5.36-l 5.04-l
1.65+1 1.60+1
1.12*0 1.05+0
2.74*1 2.66+1
5.91*0 5.73+0
1.63*0 1.79+0
700 l1.30+31
2.5*+0 2.16+0
5.37-l 5.17-l
1.72-1 1.60-I
8.98+0 8.72+0
1.8@0 1.82+0
6.03-l 5.66-I
1. G6Cl 1.eo+t
1.26+0 1.18+0
6.65+0 6.44+0
2.13*0 2.01+0
750 11.35+3i
2.64+0 2.75+0
5.9G-1 5.76-l
1.92-t 1.79-1
1.00+1 9.73+0
2.10+0 2.03+0
6.72-l 6.31-1
2.07+1 2.01*1
1.*0+0 1.32*0
7.42+0 7.19+0
2.3740 2.25*0
BOO l1.91,3)
3.111+0 3.04+0
6.62-l 6.37-l
2.12-1 1.98-1
1.1011 1.07+1
2.32+0 2.24+0
7.44-l 6.99-1
2.29+1 2.23*1
1.55*0 X.46*0
G.22+0 7.96+0
2.63*0 t.e9+0
850 11.47+31
3.45*0 3.35+0
?.27-1 7.00-l
2.33-1 2.17-l
1.22+1 1.18+1
2.55+0 2.47+0
8.17-l 7 -69-l
2.52+1 2.46+1
1.71+0 1.6140
9.04+0 G.76+0
2.1)9+0 2.74+0
FY .lU
so
FY.lR
ANGLE ENERGY IP c-lo
FU. 1n
SD
FU.lH
SD
FYHtl
FU.111
SD
30.00 SO
FYWM
FYHN
FY.lH
60.00 FY .I11
so
SD
FUWtl
FU.lM
i!UO ~S.SO+tl
7.60+0 7.39+0
l-73+0 1.67+0
5.60-l 5.26-1
1.1e+1 1.15*1
z.GG+o 2.78*0
3.43-l G.SD-1
1.6211 L.58*1
4.24+0 b.ll*o
l.@o+o 1.33*0
5.79+0 5.61+0
1.35+0 1.95+0
250 l7.12*2l
1.11+1 l.OB+l
2.53+0 2.45*0
8.21-I 7.75-I
1.74+1 1.70+1
4.22ro 4.03+0
1.3wo 1.30*0
2.38+1 2.32*1
6.24+0 6.05+0
2.06*0 1.96+0
8.51*0 S.25+0
2.07+0 2.72+0
300 17.89*2)
1.52+1 1.18+1
3.45+0 3.34*0
1.11+0 1.05*0
t.fG+l 2.31+1
5.76+0 5.5WO
1*a5+0 1.79+0
3.24+1 3.16+1
0.51*c a.25+0
2.82*0 2.67+0
Z.lb*l 1.12+1
3.91*0 3.72+0
350 tG.61tZI
1.97+1 I.S2+1
4.4mo @.33+0
1.~4~0 1.36*0
3.08+1 3.00+1
7.47+0 7.24+0
2.*wo 2.3lW
4.20*1 4.09+1
1.10+1 1.07+1
3.65+0 3.87,0
1.50+1 1.96*1
5.07*0 1.1)2*0
400 2.46+1 I3.30+2 1 2.39*1
s.s9+0 !3.*1*0
1.ao+o 1.71+0
3.04+1 3.74*1
9.33*0 3.05+ 0
3.0410 z.Gs+o
1.37rI 1.33*1
a.5640 w.3340
1.97+2 l.SZ+l
6.3**0 6.03*0
450 19.96+2)
2.99+1 2.91+1
6.79+0 6.58+0
2.19+0 2.07*0
4.66*1 4.5e+1
1.13+1 1.09+1
3.70+0 3.51+0
X.67+1 1.62*1
5.54*0 5.27*0
2.2aa 2.21*1
7.70+0 7.3300
500 l1.06+31
3.55+1 3.45*1
G.O6*0 7.01+0
2.60+0 2.46,0
1.34*1 1.30+1
4.39*0 4.17*0
1.99*1 1.32*1
6.53*0 6.26*0
2.70*1 Z-63+1
S.lS*O 0.71*0
550 11.12+37
4.lPIl 4.03+1
9.41ro 9.12+0
3.0340 2.88*0
1.57+1 1.52+1
5.13*0 4.1)7+0
2.31+1 2.2s+1
7.6%*0 7.32+0
3.15+1 3.07*1
1.06*1 1.01*1
600 II.IGr31
4.76*1 *.63+1
l.OB+l 1.05+1
3.e9+0 3.31*0
1.eo+1 1.75+1
5.90*0 5.6140
2.66*1 2.59*1
(1.95*0 1.*3*0
3.63*1 3.53+1
1.23*1 1.17+x
650 11.2413~
1.23+1 1.19*1
3.97+0 3.77*0
2.os*1 1.99+1
6.7190 6.3G*O
3.03+1 z.S9+1
1.0011 9.59*0
e.12+1 4.01*1
1.39*1 1.33*x
700 Il.30131
1.30+1 1.34+1
4.47+0 4.24*0
2.31+1 2.24*1
7.56*0 7.19.0
3.u+1 3.31+1
1.13*1 l.OWl
l .64+1 *.!a+1
1.57*1 l&o+1
750 Il.35131
1.54+1 I.5011
4.99ro 4.73*0
2.57+1 2.50*1
8.4340 a.oz+o
3.00*1 3.69+1
1.26+1 l.ZWl
1.75+1 1.67*1
BOO ll.41*3)
I. 71+1 1.66+1
5.52+0 5.2590
2.GWl 2.77*1
3.3e+o G.G9*0
e.21+1 b.os*l
1.40*1 1.33*1
1.9Wl 1.95*1
850 ,1.47+31
l.BB+l 1..92+1
6.08+0 !i.77+0
3.14*1 3.05+1
1.02+1 3.79a
l.SWl 1.*7*1
Z.lWl 2.04+1
See page 480 for Explanation
of Tables
Atomic Dol. and Nuclear Dot., Tables, Vol. 15, No. 5, May 1975
488
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH ZN 5.00
ANGLE
15.00
10.00 FY.lll
SD
2.17-l 2.08-l
7.02-Z 6.50-Z
2.09*0 2.03*0
4.49-1 4.32-l
1.44-1 1.35-l
3.48.C 3.37+0
7.53-l 7.27-l
2.43-l 2.27-l
l-48+0 1.43+0
3.16-1 3.04-l
1.02-l 9.49-2
3.07+0 2.97+0
6.56-l 6.32-1
2.11-1 1.97-l
5.10+0 4.95+0
1.10.0 1.06+0
3.54-l 3.32-l
4.03-2 3.71-2
2.02*0 l.YS*O
4.29-L 4.12-1
1.38-l 1.28-1
4.18+0 4.05+0
8.91-1 8.59-1
2.86-l 2.68-1
6.95*C 6.75+0
l.49.U 1.44+0
4.81-l 4.52-l
1.59-1 1.53-l
5.16-Z 4.77-2
2.61+" 2.53*0
5.53-l 5.33-l
1.78-l 1.66-I
5.41*0 s-25+0
1.15+0 1.11*0
3.69-1 3.46-1
3.00+0 e-74*0
1.93+0 1.a7+c
6.22-l 5.85-l
9.29-1 6.37-l
1.98-1 1.90-1
6.42-Z 5.93-2
3.25+0 3.15+0
6.63-1 6.63-l
2.21-l 2.06-l
6.75+0 6.55*0
l-43+0 1.38+0
4.60-l 4.31-l
1.12+1 l.OS+l
2.41+0 2.33+0
7.75-1 7 -30-l
450 ll.O0+3l
1.12+0 l-08+0
2.33-1 2.29&l
7.75-2 7.17-2
3.9510 3.83*0
8.34-l 8.03-l
2.67-l 2.50-l
8.13+0 7.96+0
X.73+0 l-67*0
5.57-l 5.23-l
l-36+1 l.32+1
2.93.0 2.03+0
9.33-1 8.85-l
500 ll.O6+31
1.33+0 1.29+0
2.83-I 2.72-1
3.16-2 8.48-2
Y-69.0 4.SS*O
9.88-1 9.53-1
3.17-1 2.96-1
9.73+0 3.45~0
t-06*0 1.39+0
6.60-l 6.21-l
L-61+1 l-57*1
3.47+0 3.36+0
1.11+0 1.05*0
550 l-55.0 ,1.12+3 3 1.5010
3.29-1 3.16-l
1.06-l 9.67-2
5.47+0 5.30+0
l-15+0 1.11'0
3.69-l 3.45-l
1.13.1 l-10*1
Z-.40+0 2.32+0
7.63-1 7.24-l
l-88+1 l-83+1
4.05+0 3.92+0
l-29+0 1.22*0
600 11.18+3)
l-78+0 l-72+0
3.78-l 3.63-l
1.22-l 1.13-l
6.29+0 6.10+0
l-32+0 l-27+0
4.23-l 3.97-1
l-30+1 l-26+1
2.76+0 2.67+0
8.84-l 8.32-l
2.17+1 2.11+1
4.66~0 4.51+0
1.49+0 1.40+0
650 Il.Z4+3)
2.02+0 l-96+0
4.29-l 4.12-l
1.38-1 1.28-l
7.14+0 6.93*0
l-50+0 1.44.0
4.80-l 4.51-1
l-48*1 1.4.*1
3.13+0 3.03+0
l.OO+O 9.,5-l
2.46+1 2.40+1
S-29+0 5.12*0
1.69*0 l-60*0
700 11.30*31
2.28+0 2.20to
4.81-1 4.63-l
1.55-l 1.44-l
8.04+0 7.8010
1.6810 l-62*0
5.40-l 5.07-l
l-67*1 l-62+1
3.53+0 3.41+0
l-12+0 l-06*0
2.77*1 2.70+1
5.95.0 5.77+0
1.90+0 l-80+0
750 11.36*31
254*0 2.46+0
5.36-l 5.15-l
1.72-1 1.60-l
8.97+0 8.71+0
1.88+0 1.81+0
6.01-l 5.65-l
l-86+1 l-81+1
3.93+0 3.80+0
l-25+0 l-18+0
3.03rl 3.01+1
G-64*0 6.43+0
2.12+0 2.01+0
800 11.42+31
2.81.0 2.72+0
5.92-1 5.70-l
1.30-1 1.77-1
9.93*0 S-64+0
2.08+0 2.01*0
6.65-l 6.25-l
2.06*1 t-00+1
4.35.0 4.21*0
X.39+0 1.31+0
3.42.X 3.33+1
7.35*0 7.12+0
t-35*0 2.22+0
850 t1,47+3)
3.09+0 2.YStO
6.51-l 6.26-l
2.09-1 1.95-1
l-09+1 1.06*1
Z-28*0 2.21’0
7.31-1 6.8?-1
Z-26+1 2.20+1
4.79+0 4.63+0
l-53+0 l.,Q+O
3.77+1 3.67.1
8.09.0 7.8410
t-58*0 2.44+0
SO
FUWN
SO
FYHN
FYHN
FY.lW
SD
ENERGY IP c-r(l
SC
200 16.32.2)
2.92-l 2.31-l
6.33-? 6.05-2
2.06-Z 1.89-2
1.01+0 3.91-1
250 4.26-1 17.1512 I 4.10-l
9.19-2 3.79-z
2.93-2 2.74-z
300 17.42+21
5.78-l 5.58-l
1.74-l 1.13-l
35U l8.64+2$
7..46-1 7.20-l
4OU 19.33+21
FYHR
FYHU
20.00 FY.lN
SD
FUWM
FU.lN
---------___---------------------------------------------------------------------------------~ ANGLE
30.00
ENERGY tP C-N,
SD
FUHH
40.00 FU.lcI
SO
FUWM
50 -00 FU.fM
60.00 FY.lM
FY.lh
200 (6.32+21
6.34~10 6.74+0
1.56*0 l-50+0
5.05-l 4.75-l
l-09*1 l-06*1
2.60*0 2.51*0
8.43-1 8.01-l
1.5111 l-47+1
3.84+0 3.7200
1.27*0 l.ZO+O
1.92*1 X.87+1
5.26+0 5.10+0
l-76+0 l-66*0
250 t7.15r2t
l.Ol+l S.SO+O
Z-28+0 2.21+0
7.33-1 6.96-1
l-61+1 1.56*1
3.81+0 3.69+0
l-24+0 l-17+0
Z-22+1 t-16*1
5.64+0 S-47+0
X.86.0 l-76+0
2.81.X 2.74rl
7.72*0 7.49eO
2.58*0 2.45+0
300 17.92+21
1.38+1 1.35+1
3.11+0 S-01+0
LOO+0 9.48-1
2.19*1 2.13+1
6.19.0 5.03*0
l-6$+0 l-60+0
3.02+1 2.95.X
7.69+0 7r46+0
2.53.0 2.40+0
3.83+1 3.73+1
1,ofj.l 1.02.1
3.52*0 3.34*0
350 t8.64+21
1.79+1 l-74+1
4.02+0 3.89+0
l-29*0 1.2210
2.83+1 2.76*1
S-73*0 6.52+0
2.19*0 t-07+0
3.91*1 3.81*1
9.96+0 S-66+0
3.28+0 3.11+0
4.95+1 4.82+1
l-36*1 L-32.1
4.56+0 4.33*0
400 l%.33+2l
2.24+1 2.18+1
S-02+0 4.86+0
l-62*0 1.53*0
3.54*1 3.44+1
8.4010 8.14*0
2.73+0 2.59+0
4.88+1 4.76+1
l-24*1 1.20~1
4.09.0 3.89+0
x.70*1 l-65+1
S-69*0 5.41+0
4so 11.00*31
2.72+1 2.‘64+1
6.09+0 5.30*0
1.96+0 l-85*0
4.29+1 4.18+1
l.Ol+l 9.83*0
3.31.,0 3.14+0
1.50+1 l-46*1
4.57+0 4.72+0
2.06*1 2.00+1
6.91*0 6.57*0
500 11.06+31
3.23+1 3.14+1
7.24*0 7.01+0
2.33+0 2.20+0
1.21+1 1.17+1
3.94*0 3.73+0
1.79*1 l-74*1
s-91+0 S-61+0
2.45+1 2.38+1
8.21+0 7.81+0
550 Il.l2+3)
3.76+1 3.s7+1
8.44+0 8.18+0
2.7200 2.57*0
1.41~1 l-37+1
4.59+0 4.36*0
2.09+1 2.03+1
6.89+0 b-55+0
2.86+1 2.78+1
3.58*0 s-13*0
600 t1.18131
4.33+1 4.21+1
9.71+0 S.bl*O
3.12+0 2.96*0
l-62+1 1.57*1
5.28+0 5.02*0
2.40*1 2.33*1
7.93+0 7.s4ro
3.28*1 3.19+1
1.10*1 1.05*1
650 (l-24+31
4.91+1 4.79rl
1.10+1 1.07+1
3.55+0 3.37+0
1.84*1 1.73+1
6.01+0 5.71*0
2.73*1 2.65+1
5.02*0 8.58+0
3.73*1 3.63+1
1.25*1 1.19*1
700 11.30+31
1.24+1 1.20+1
4.00+0 3.79+0
2.07+1 2.01+1
6.76*0 6.43+0
3.07*1 2.98+1
1.01*1 9.66rO
4.20+1 4.08+1
1.41+1 1.34*1
750 (l-36+3)
l-38+1 1.34*1
4.46+0 4.23*0
2.31*1 Z-25+1
7.54.0 7.17+0
3.42+1 3.33+1
1.13+1 1.07+1
4.68,1 4.55+1
1.57+1 1.50*1
800 (l-42+31
1.53+1 l-48*1
4.34*0 4.69+0
2.56*1 2.49*1
8.35+0 7.95*0
3.79*1 3.68*1
1.25*1 l.lS+l
1.74+1 l-66+1
850 11.47.3)
l-66+1 l-63+1
s-43*0 5.16+0
2.82+1 2.74*1
S.lS+O 8.75+0
4.17+1 4.05+1
l-38+1 1.31+1
1.91+1 l-83*1
See page 480 for Explanation
of Tables
489
Atomic Data and Nuclear Data Tabls~, Vol. 15, No. 5, MAY 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PI IOTONS TH ROUGH GE ANGLE
5.m
10.00
FYHU
2O.K
SO
200 l6.33*21
t.sa-1 2.78-l
6.27-2 5.98-2
2.05-2 1.87-2
1.0010 9.69-l
2.14-l 2.06-1
6. St-2 6.U3-2
2.07~0 t.oo+o
q.e4-1 1).27-l
1.w3-1 1.33-1
3.114.0 3.3wc
7.45-l 7.18-l
2.90-l 2.24-1
250 17.16+2)
4.21-1 5.05-l
9.09-2 8.69-2
2.9.5-2 2.71-2
1.b6.0 1.*1*0
3.12-1 3.00-I
l-00-1 9.37-2
3.03+0 2.99ro
6.48-l 6.21-l
2.08-l 1.9@-1
s.m+o 4.90*0
i.oaro 1.c5+0
3.50-l 3.28-l
300 17.93+21
5.70-l 5.50-l
1.22-l 1.17-1
3.93-2 3.66-2
1.39*0 1.93+lJ
4.23-1 4.07-l
1.36-L 1.27-1
5.13+0 4 .oo+o
8.80-l 8.48-1
2.82-l 2.64-l
6.87+0 6.67+0
1.47ro 1.42+0
4.75-l 4.46-l
350 tb,66+tI
7.36-1 7.10-l
1.57-l 1.51-l
5.12-2 4.71-Z
2.57*0 2.49*&t
5.46-l 5.25-l
1.75-l 1.63-l
5.34+0 5.18*0
1.13+0
1.090
3.66-l 3.41-L
a.ss*c 8.64+0
1.91*0 1.a*+o
6.13-l 5.77-l
400 ts.35rzt
9.16-l 8.85-l
1.35-l 1.87-l
6.34-2 5.85-2
3.21+0 3.13*0
6.79-l 6.51-l
2.18-1 2.03-l
6.66+0 6.47+0
1.11*0 1.36+0
0.53-1 S.25-1
1.11*1 1.07*1
2.38+0 2.30+6
7.64-l 7.19-1
*so t1.00+31
1.1010 1.07+0
2.36-l 2.26-l
7.65-2 7.07-2
3.89+0 3.7710
8.22-I 7.32-1
2.64-l 2.46-l
s.os+o 7.85+0
1.71*0 1.65+0
5.es-1 5.15-1
1.34*1 l.?E+l
2.as*o 2.79*0
9.26-1 8.72-l
500 11.06+3)
1.31+0 1.27+0
2.79-l 2.68-l
9.0+2 8.37-2
4.sz+o 4.1)8+0
9.71-l 9.39-1
3.12-1 2.92-l
3.60+0 9.32+0
2.03+0 1.36+0
6.51-l 6.11-l
1.59+1 1.55+1
3.*2+0 3.31*0
1.09+0 1.03+0
550 t1.13+31
1.53+0 1..9a+o
3.25-l 3.12-l
1.05-l 9.73-2
s.39*0 5.22+0
1.13+0 1.09+0
3.63-l 3.00-l
1.12+1 l.OS*l
2.36+0 2.28*0
7.58-l 7.13-l
l-86*1 1.81+1
3.99*0 3.66*0
1.27-O 1.2o+c
600 11.19+31
1.75*0 1.7010
3.73-l 3.58-L
1.20-l 1.11-l
6.19+0 6.01+0
1.30+0 1.25+0
4.17-l 3.31-l
1.28+1 1.25+1
2.72+0 2.63*0
8.70-l 8.19-l
2.1l)+1 2.08+1
4.59+0 4.41)+0
1.*7*0 l.38*0
650 l1.25+31
1.99+0 1.93+0
@.22-l 4.06-l
1.36-l 1.26-1
7.0110 6.83+0
1.47+0 1.42+0
4.73-l 4.54-l
1.16+1 1.42+1
3.09+0 2.sa+o
9.88-1 9.30-l
2.13+1 2.37~1
5.21*0 5.01+0
1.66,0 x.57+0
700 t1.31*31
t-24*0 2.17+0
0.7@-1 6.66-l
1.52-1 I .*2-1
7.92+0 7.68+0
l.OtaO 1.60*0
5.32-l 4.93-1
1.64~1 l.bO+l
3.*7*0 3.36+0
1.11+0 1.oa*o
2.74+1 2.66+1
f.86,0 6.6WO
i.a7+0 1.77*0
750 tl.36+3)
z.so+o 2.42+0
5.28-l 5.08-l
1.70-l 1.58-l
8.83+0 8.57*0
1.85*0 1.7a+o
5.92-l 5.56-l
1.83+1 1.78+1
3.87+0 3.74*0
I.2340 1.16+0
3.05+1 2.97+1
6.54+0 6.33*0
2.09*0 1.97*0
SOD (1.42131
2.76+0 2.67+0
5.83-l 6.61-l
1.87-l 1.74-l
9.77+0 9.49*0
2.01*0 1.97*0
6.55-l 6.15-1
2.03~1 1.97*1
&.28+0 4 .lWO
1.36*0 1.29+0
3.3a+i l-2%+1
7.24+0 7.01*0
2.31*0 2.lWO
850 t1.*8r3)
3.04+0 2.swo
6.@1-1 6.16-l
2.06-l 1.92-1
1.07*1 l.OWl
2.25+0 2.17+0
7.20-l 6.76-l
2.23+1 2.17+X
e.71+0 q.56+0
1.50+0 1.42+0
3.72+1 3.62+1
7.96+0 7.71*0
2.54+0 2.40+0
FU.lN
SO
.-------_
.----em--
30.00
ANGLE
FYHM
15.00
ENERGY IF C-W,
FY.lW
.___-__-_
50
.-----
FYHU
-------
FYkRl
(1.39-i 7.91-l
1.52+1 l.kR+l
3.81+0 3.68*0
3.77+0 3.65*0
1*22+0 1.16*0
2.23+X 2.17+1
2.10+1 2.12+1
5.13+0 4.97+0
1.67rO 1.58+0
1.2aeo 1.21+0
2.82+1 2.75+1
6.6WO 6.W*O
4.95+0 0.79*0
1.59+0 1.50+0
3.52+1 3.43+1
2.69+1 2.62*1
6.01~0 5.82+0
1.93+0 1.83tO
4.27+1 0.16+1
500 tl.o6+3l
3.20+1 3.11+1
7.13+0 6.91+0
550 11.13*31
3.73+1 3.63+1
600 t1.19*31 650 11.25+31
200 :6.33+2l
6.89+0 6.6SrO
1.5a+o 1.*3+0
4.93-1 4.69-l
1.03*1 1.06+1
2.57+0 2.49+0
250 l7.16r21
l.Ol+l 9.82+0
t.PS+O 2.18+0
7.29-l 6. a7-l
l-60+1 1.56+1
300 17.93*21
1.37+1 1.33*1
3.07*0 2.97ro
9.91-1 9.35-l
350 ta.66+21
1.70*1 l-73+1
3.97+0 3.81+0
400 l%.35+2l
2.22+1 2.16+1
aSO f1.00+3)
FY.lM
60.00 SO
FYHM
1.26*0 1.11)*0
1.93+1 l.aa+l
5.22*0 5.05+0
1.7wo
5.55+0 S.el*O
1.03*0 1.74*0
2.53+1 2.76+1
7.65W 7.42*0
2.55*0 2.*2*0
3.03+1 2.9s+1
7.61*0 7.37+0
2.50+0 2.37+0
I.ab*l 3.76+1
1.oe*1 l.Ol*l
3.47+0 3.29*0
2.16+0 2.owo
3.92*1 3.1)2+1
9.85*0 3.55+0
3.23+0 3.07*0
4.98+1 e.a6*1
1.35+1 1.31*1
4.50*0 4.27+0
8.29*0 a.owo
2.69+0 2.55+0
@.89+1 b76+1
1.22+1 1.191
bow0 3.83+0
1.6Srl 1.63+1
5.61*0 5.3wo
i.oa+l 9.75*0
3.27+0 3.10*0
1.ev+1 1.41+1
e.so*o 4.65*0
2.04*1 i.va*i
6.81*0 6.45+0
2.29*0 2.17+0
1.19+1 1.15*1
3.ss+a 3.68+0
1.77+1 1.71+1
5.5210 5.5340
2.42*1 2.35*1
8.09*0 7.70+0
8.32*0 8.06+0
2.6arO 2.53+0
1.39*1 1.35*1
4.52+0 4.29*0
2.06+1 2.00*1
6.79+0 6.4WO
2.83*1 2.74+1
9.45*0 a.99*0
4.29*1 l.lR*l
9.57ro 9.27+0
3.08+0 2.91ro
1.60+1 1.55+1
5.20+0 bsq*o
2.37+X 2.30*1
7.Sl*o 7.43+0
3.25*1 3.16+1
1.01*1 1.03*1
4.87*1 4.74+1
1.08+1 1.05+1
3.5010 3.31+0
x.82+1 1.76*1
5.91ro 5.62*0
2.69+1 2.62*1
S.SL*O 8.45+0
3.69+1 3.59+1
1.23*1 1.17*1
700 11.31*31
1.22+1 1.x.8*1
3.93+0 3.73-o
2.OIll l.sa*i
6.65+0 6.32+0
3.03+1 2.Vwl
s.vs+a sr51+0
4.15+1 4.OUl
I.3911 1.32~1
750 11.36+3)
1.36*1 1.32+1
4.33*0 1.16+0
2.28*1 2.21+1
7.42+0 7.06'0
3.3a+1 3.2801
1.11+1 l.OC+l
4.63+1 l .50+1
1.55+1 1.47+1
BOO 11.*2+3)
1.51+1 1.46.1
@.86+0 q.61*0
2.52+1 2.45+1
8.22+0 7.a2+0
3.7**1 3.6@+1
1.23*1 1.17+1
1.71+1 1.63-l
a50 t1.wa.31
l-66*1 l-61+1
5.34+0 5.07+0
2.78*1 2.70*1
9.01+0 a.60*0
l *11*1 q.o0*1
1.3541 I.tS*l
1.sa*1 i.ao+i
See page 480 for Explanation
FY .ln
FUHM
--_
so
FYHW
SO
so.00
40.00
FYWI
ENERGY IP c-n,
FM .lN
so
SD
FY.lW
of Tables
490
FM.111
FY.lH
1.64*0
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS 5.00
ANGLE
THROUGH K9
10.00
6.50-Z 6.01-Z
1.93*0 l-87+0
@.l@-1 3.98-1
1.33-1 1.21-l
3.22+0 3.12+0
6.35-l 6.69-1
2.24-I 2.05-1
2.91-1 2.80-l
9.42-2 8.7*-z
2.8210 2.7*+0
6.09-l 5.81-l
1.96-l 1.81-1
q.71*0 1).57+0
l.Cl*C 9.78-1
3.26-l 3.05-l
1.e5+0 1.79*0
3.9Y-1 3.73-l
1.27-1 1.18-1
3.88+0 3.72+0
8.19-1 7.89-1
2.63-l 2.46-l
6.11+0 6.22+0
1.37+C 1.32+0
4.12-l P.lS-1
Q-78-2 4.39-2
2.39+0 Z-32+0
5.08-l q-89-1
1.63-I 1.52-l
1.97+0 *.az*o
l.OS+O 1.01+0
3.39-1 3.17-1
8.29+0 G.os+o
1.77+0 1.71+0
5.70-l 5.36-l
1.82-I 1.79-l
5.92-2 5.115-Z
2.98+0 Z-89+0
6.32-l 6.08-l
2.03-l 1.89-1
6.19+0 6.01’0
1.31*0 1.26+0
4.21-l 3.95-l
1.03*1 1.00+1
2.21*0 2.13+0
7.10-l 6.67-l
1.03*0 9.35-1
2.20-l 2.11-l
7.13-2 6.58-Z
3.61+0 3.50+0
7.6+-1 7.36-l
2.115-l 2.23-1
7.51*0 7.29+0
1.59*0 1.53+0
5.10-l Q.78-1
1.25*1 l.Zl+l
2.68*0 2.59+0
8.53-1 8.09-l
500 ll.D7+31
1.2210 1.17+0
Z.EO-1 2.@9-1
B.@Z-2 7.78-2
4.29+0 4.15+0
9.05-1 8.71-1
2.90-l 2.71-1
6.92+0 8.66+0
l.W*O 1.82*0
6.01-I 5.67-l
l.qG+l 1.ee+1
3.18+0 3.07+0
1.01+0 9.59-1
550 11.13+31
1.42+0 1.37+0
3.02-l 2.90-l
3.77-2 9.OY-2
5.00+0 q.Bl+O
1.05*0 l.Ol+O
3.36-l 3.16-l
1.01*1 l.Ol+l
2.19+0 t.lt+O
7.03-I 6.61-l
1.73+1 1.68*1
3.7O+C 3.58+0
l.lG+o 1.11+0
600 ,1.19+3,
1.63+0 1.57+0
3.46-l 3.32-l
1.11-1 1.03-l
5.7400 5.57*0
L.ZO+O 1.16*0
3.87-l 3.62-l
1.19+1 1.16+1
2.5220 Z-*3+0
8.07-l 7.59-1
1.99+1 l.Sq+l
4.25+0 4.11+0
1.36*0 1.28.0
650 11.25+3)
1.85+0 1.79*0
3.32-1 3.77-l
1.26-l 1.17-l
6.62+0 6.33+0
1.37+0 1.32+0
Q.39-1 11.11-l
1.35+1 1.32+1
2.86+0 2.76*0
9.16-1 8.62-l
2.26+1 2.2011
6.83*0 q.67+0
l.lVO 1.@6+0
700 11.31+31
t.oa+o 2.01+0
q.qo-1 4.23-l
1.42-l 1.31-1
7.3**0 7.12*0
1.51ro 1.@8+0
4.93-1 Q.62-1
1.52*1 l.qWl
3.2200 3.11+0
1.a2*0 9.63-1
2.55+1 Z.qG+l
5.@3+0 5.26+0
1.73+0 1.5q+o
750 11.37+31
2.31+0 z.zq+o
4.30-1 @.71-l
1.58-1 1.66-l
a.lG+o 7.9@*0
1.71*0 1.65+0
s.qs-1 5.15-l
1.70+1 1.65+1
3.58*0 3.@7+0
l.lWO 1.08+0
2.8e+f 2.76+1
6.06*0 5.86+0
1.93+0 1.03+0
800 11.63.3,
2.56+0 z.qa+o
5.61-l 5.20-l
1.7+1 1.62-1
9.05*0 8.79+0
1.89+0 1.83+0
6.07-l 5.69-l
1.88*1 1.83+1
3.97*0 3.Gq*O
l.Zb+O l.lS+O
3.1Wl 3.05*1
6.70+0 6.19+0
2.lWO 2.02~U
850 ll.q8*3)
t.s1*0 2.72rO
5.94-l 5.71-1
1.91-1 1.78-l
9.96+0 9.66*0
2.08+0 2.01+0
6.67-l 6.26-1
2.07+1 2.01+1
4.36+0 4.22+0
1.39+0 1.31+0
3.*6+1 3.36+1
7.37*0 7.1wo
2.35*0 2.22+0
200 ,6.35+2,
2.69-l 2.59-1
250 17.1ErZI
FUHM
FY.lR
SO
5.87-2 5.60-Z
1.32-2 1.75-Z
9.35-1 9.04-l
2.00-l 1.92-1
3.32-l 3.78-l
8.50-Z 8.12-Z
2.77-2 2.53-2
l-36+0 1.32+0
300 17.95+2,
5.31-1 5.12-I
1.19-l 1.03-1
3.73-2 3.*2-z
350 l8.68+21
6.85-l 6.61-1
1.*7-l 1.10-l
*oo 19.38+21
8.52-l 8.22-1
450 ll.o0+3l
FY.111
zo.oc
FYHR
SO
FYHK
15.00 SD
ENERCY ,P c-n,
FY.lK
SO
FYHK
____________________-------------------------------------------------------------------------ANGLE ENERGY IP c-n1
30.00
------
qo.00
SO
FUHK
SO
FWlll
200 ,6.35+2,
6.47+0 6.2GrO
1.43+0 1.38+0
q.65-1 q.36-1
1.03+1 l.OO*l
Z.qO+O 2.32*0
250 ,7.X8.2,
S.bS+O 9.22*0
2.10+0 2.03+0
6.73-l 6.33-l
l.Sl+l 1.@7+1
300 l7.95+21
1.29+1 1.25*1
2.86+0 2.76*0
9.22-1 8.68-l
350 18.6812l
1.67+1 1.62+1
3.63*0 3.57.0
NO0 19.38+2b
2. on+1 2.02*1
150 s1.00+31
50.00 FY.lW
60.00
SO
FYHM
FY.lW
SO
FYIIK
FY.lM
7.82-l 7.36-l
l.q5+1 l.ql+l
3.56+0 3.w+o
1.16+0 1.10+0
l.G6+1 1.a1+1
1.89+0 5.73*0
1.62+0 1.13*0
3.51+0 3.qo+o
l.lq+O 1.07+0
2.12+1 2.07+1
5.21+0 5.0590
1.71*0 1.61+0
2.73+1 2.66+1
7.16+0 6.94*0
2.37*0 2.25*0
2.06rl Z&0*1
W.78*0 9.63*0
1.55+0 1.45+0
2.09+1 Z-81+1
7.10+0 6.88+0
2.32*0 2.20+0
3.71+1 3.61*1
¶.7S+O 9.45*0
3.23*0 3.05+0
1.19+0 1.12+0
2.67+1 2.59+1
6.13.0 5.99+0
2.00+0 1.89*0
3.73+1 3.6@+1
9.18,0 8.90+0
3.01*0 Z.BS+O
l .Gocl q.67+1
1.26+1 1.22+1
q.u*o 3.97+0
@.CO+O ll.qs+o
l.IG+O 1.eo+o
3.33+1 3.21r+1
7.71+0 7.47*0
2.60+0 2.36*0
L65*1 4.53+1
l.lb+l l.llfl
3.75+0 3.56+0
1.57*1 1.52*1
5.22*0 q.95*0
2.52+1 2.45+1
5.5e+o 5.&0+0
1.79+0 1.69+0
e.o3+1 3.33+1
S-36*0 3.07+0
3.03+0 2.87+0
1.38+1 1.3q+1
1.55*0 q.32.0
1.90+1 1.45+1
5.33+0 6.01*0
SOD 11.07+31
2.99+1 2.91+1
6.62+0 6.91*0
2.13*0 2.01*0
q.78+1 q.66+1
l.ll+l 1.07+1
3.60+0 3.@1*0
1.6q+l 1.60+1
s.10*0 5.13*0
2.25+1 2.19+1
7.51*0 7.1wo
550 i1.13+31
3.19+1 3.1)0+1
7.72+0 7.9a*o
2.qGro 2.35+0
1.29+1 l-25+1
q.19+0 3.38+0
l.SP+l l-86+1
6.30+0 5.98+0
2.64+1 2.56+1
8.75+0 8.3WO
600 11.19r3l
').Ol+l 3.91+1
.3..3**0 8.6010
z..Ss*o 2.70+0
1.qa*1 l.*#+l
1.82*0 4.5a+o
2.21+1 2.lWl
7.24+0 6.81+0
3.03+1 2.95+1
1.00*1 9.59*0
650 ,1.25.3,
II.S6+1 q.@qrl
l-00+1 9.78+0
3.21.0 3.07+0
l-63*1 1.6@+1
5.18*0 5.20+0
2.51*1 z.q3*1
8.23+0 7.83+0
3.qee1 3.35*1
l.lWl 1.09*1
700 11.31+3:
1.13+1 1.10*1
3.61)+0 3.45+0
l.SO+l 1.aq+1
6.16+0 5.05+0
z.e2+1 2.7q+1
9.26+0 a.a1*0
3.a7*1 3.76+1
1.2Wl 1.22*1
750 11.37+31
1.26+1 1.22+1
q.06+0 3.*5+0
2.12+1 2.06+1
6.87+0 6.53+0
3.X5.1 3.06+1
1.03+1 S&3*0
q-32+1 q.20+1
1.*3*1 1.37+1
800 11.*3*3,
1.*0*1 1.35+1
q.50+0 4.26+0
2.3@*1 2.28*1
7.61+0 7.23*0
3.*e*1 3.38+1
1.1*+1 1.om1
1.7a+1 4.65+1
1.59+1 1.51*1
850 ll.Y8+31
1.55+1 1.99+1
q-9*+0 4.69+0
2.5**1 2.5011
a.37ro 7.96*0
3.a3+1 3.72.1
1.25*1 1.191
See page 480 for Explanation
FU.lW
FU.ltl
1.75+1 1.67+X
of Tables
491
Atomic Dab md Nuclear Data Tables, Vol. 15, No. 5, MaY 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTON5 TtlR0u5H AWRLE
5.00
EnaRw
SO
l0.W
fYH*
fY.lI(
so
ZR 15.00
fINIn
fY.l)I
so
LO.00
fYW?l
fY.lN
so
fliWM
fY.lN
IPC-ll) 2M l6.35*2#
2.w-1 2.33-l
5.31-r 5.06-2
1.14-2 1.55-2
o.e2-1 l .lS-1
l.w-1 1.73-t
5.56-2 S-Nil-2
1.7110 l.W*O
3.73-l 3.5S-1
1.25-a 1.12-l
2.¶0*0 2.61*0
6.25-l 6.02-l
2.01-l l.W-1
250 l7.19~2~
3.53-l 3.@0-1
1.67-2 7.32-2
2.55-2 2.25-2
1.22+0 1.28+0
2.62-i 2.51-l
8.19-2 7.B6-2
2.5110 2.Q6*0
6.*3-1 5.22-l
1.75-l 1.63-l
l .21*0 @.ll+O
9.11-1 6.76-l
2.93-1 2.71-l
300 17.96*21
@.77-l a.60-1
1.03-l
3.36-2
1.66+0
3.58-l
7.35-l
2.36-l
5.76+0
3.00-P
l.Cl+O
f&O-l
1.14-l 1.05-l
3.*5*0
3.66-2
3.34*0
7.05-l
2d?u-1
5.53+0
1.23*0 1.19*0
3.97-1 3.72-l
6.15-l
l6.69~21
350
5.93-1
1.32-l 1.26-l
Q.31-2 3.95-2
2.15*0 2.06*0
6.56-l 4.39-1
1.@7-1 1.36-I
@.Q6*0 e.32*0
9.48-1 9.13-1
S.OS-1 2.54-l
7.Q6+0 7.23+0
1.59*0 1.53+0
5.12-l e.sa-1
QOO 19.39+21
7.64-l 7.37-l
1.61-l 1.57-l
5.33-2 e.SO-2
2.67*0 2.69+0
5.67-l 5.15-l
1.52-I 1.70-l
5.56*0 5.39*0
1.17*0 1.13*0
3.76-l 3.5b1
9.25+0 S.OZ*O
1.36*0 l.Yl*O
6.36-l 5.93-1
460 ll.00~3)
3.24-1 5.92-1
1.97-1 l.SY-1
6.42-2 5.91-2
3.21*0 3.lWO
6.55-l 6.59-1
2.20-l 2.05-l
6.7WO 6.5*+0
1.@2*0 1.37+0
*.57-1 *.2a-1
1.12*1 l.OY+l
2.*0*0 2.32*0
7.70-l 7.24-l
500 11.07+31
l.OS,O 1.05+0
2.33-l 2.2@-1
7.57-2 6.95-2
3.6VfO 3.72*0
8.11-l 7.61-l
2.60-l 2.@3-1
7.99+0 7.76+0
1.69*0 X.63+0
5.41-l 5.06-l
1.33+X 1.29+1
2.5*+0 2.75+0
3.12-1 6.56-l
560 ll.l3+31
1.27rO 1.23+0
2.71-l 2.60-l
0.70-2 6.12-2
8.47*0 4.36+0
9.14-1 9.09-1
3.03-l 2.63-l
9.32*0 Y.OI+O
1.96+0 1.as+o
6.30-l 5.91-1
1.55+1 1.51+1
3.31+0 3.20+0
1.06+0 1.00+0
600 l1.19r31
1.46+0 1.41+0
3.11-l 2.96-1
1.00-I 9.30-2
5.11*0 @.YO+O
l.OO+O l.OI+O
3.17-l 3.2b1
1.07+1 l.O*+l
2.26+0 2.16+0
7.23-l 6.79-1
1.79*1 1.74+1
3.61+0 3.66+0
1.22+0 1.14*0
650 t1.25+31
1.65+0 1.60+0
3.52-l 3.36-l
1.13-I 1.05-l
5.6*+0 5.66+0
l.tt*O LlO+O
3.93-1 3.68-l
1.21*1
2.56+0
1.16+1
2&7+0
0.29-1 7.71-l
2.03+1 1.97+1
q.3240 W.l6+D
1.3a*o 1.30+0
700 11.31+31
1.86.0 1.00*0
3.95-1 3.73-1
1.27-l 1.16-l
5.56+0 6.37*0
1.37*0 1.33*0
4.@2-1 a.l3-1
1.36+1 1.32+1
Z.66*0 2.76+0
9.21-1 6.66-l
2.26+1 Z.ZZ*l
W.664.70*0
1.55+0 1.46+0
750 11.37+31
2.07.0 2.00+0
,.39-l 2.22-l
1.,1-l 1.31-l
7.32+0 7.10+0
1.53+0 l.W+O
4.92-1 ,.61-l
1.52*1 l.M+l
3.21+0 3.10+0
l.OP+O 3.66-1
2.55+1 2.*6+1
5.42*0 5.29+0
1.73*0 1.63*0
500 l1.@3*3)
2.29+0 2.21+0
4.85-l Q.66-1
1.56-l 1.45-l
O.lO*O 7.66~0
1.69+0 1.63+0
5.@3-1 5.09-1
1.66+1 l.hl*l
3.55*0 3.*3+0
l.lS+O 1.06*0
2.02*1 2.7a+l
5.99+0 5.6O.C
1.91+0 i.ai+o
650 ll.~9*3l
2.52+0 2.*3+0
5.32-l 5.12-l
1.71-l 1.59-1
5.30+0 6.6410
l.OC*O I.BO+O
5.97-1 6.60-1
1.55*1 l.ao+i
3.90+0 3.77+0
1.2WO 1.17+0
3.10+1 3.01+1
6.59+0 6.30+0
2.10+0 1.99~0
FUNN
.____---_.----_--_ .-------SD
FYHN
SO
FUWl
200 16.35+21
5.6640 5.68+0
1.29+0 lIZI*
e.15-1
9.u*o
3.92-1
9.1*+0
2.16+0 2.09+0
260 l7.19*2)
0.57+0 6.32+0
1.a9*0 1.e2+0
6.10-l 5.73-l
1.37*1 1.33*1
300 l7.36+Zl
1.16rl 1.13+1
2.56*0 2.ma*o
0.27-i 7.70-1
350 15.69+21
1.16rl
1.50+1
3.31*0 3.20+0
1.06+0
ENEMY
IP
,--------
-- ------
FM .lN
50.00
60.00
SD
FYHll
FY.lM
SO
7.03-l 6.61-l
1.3241 1.29*1
3.21+0 3.10+0
1.05+0
1.72+1 1.67,1
4.*1*0
3.91-1
,.27*0
1.46*0 1.37*0
3.16+0 3.06+0
l.OZ*D 9.67-1
1.9e+1
4.65*0 Q.Sb+O
1.6310 x.*5*0
2.51+1 2.@5*1
6.46+0 6.25+0
2.13*0 2.02+0
1.07*1 1.52*1
*.30*0 1.16*0
1.39*0 1.31*0
2.6@+1 2.67*1
2.06+0 1.97+0
3.*2+1 3.33+1
6.76+0 5.51*0
2.9WO 2.75+0
1.00*0
2.q2+1 2.35*1
5.56rO 5.30+0
t.ao*o I.7010
3.41*1 3.32*1
6.25*0 a.oo+o
2.69+0 2.55*0
a.e2+1 4.30+1
1.1341 1.10*1
3.75*0 3.56+0
4.25*1
1.02*1 9.91*0
3.36*0 5.15+0
1.41*1 1.37+1
4.67*0 e.*4+0
FY.lW
FY.ln
C-MI
1.09+1
l oo l9.33+2a
1.aa*1 i.az+i
5.13+0 3.93+0
1.32+0 1.25+0
3.02*1 2.3Wl
6.92*0 6.71+0
2.2**0 2.12*0
660 11.00*3)
2.27+1 2.21+1
5.00+0 l .0**0
1.60+0
3.66+1 3.56+1
a.39*0 0.13*0
2.71+0 2.67+0
1.24*1 l-21,1
Q.o7*0 3.66*0
1.7141 1.66+1
5.67*0 5.30+0
500 ll.O7+31
2.70+1 2.63+1
5.93*0 5.7wo
1.90+0 1. no*0
9.36+0 9.66+0
3.2210 3.05+0
1.46,1
4.53+0 ,.59+0
2.03+1
1.*3*1
1.97*1
6.73+0 6.39+0
550 sl.13+31
3.15*1 3.06+1
6.92*0 5*70+0
2.22*0 2*10+0
1.16+1 1*12*1
3.75+0 3.56*0
1.72*1 1.67*1
6.64*0 s-35*0
2.37+1 2.30*1
7.a5+0 7A6+0
600 1L.l9+3l
I&2+1 3.62rl
7.95+0 7.70*0
2.65+0 t.u1*0
1.33+1 1.29+1
4.31*0 4.09*0
1.5a*1 1.32+1
6.@6*0 6.15+0
2.73*1 2.65*1
9.02*0 0.56,D
660 ll.25*3)
4.11+1 *.OO+l
9.03*0 5.7s*o
2.90+0 2.74+0
1.51*1 1.17*1
e.90*0 8.66CO
2.25*1 z.ia*i
7.36*0 7.00+0
3.1011 3.01+1
1.02+1 9.7600
700
Q.St+l l .50+1
1.01*1 Y.YWO
3.26+0 3.05*0
1.70+1 1.65*1
6.51*0 5.23*0
2.63*1 2.t6*1
5.26+a 7.67,0
3.a41 3.31*1
1.09~1
760 11.37*3~
1.x3*1 1.09*1
3.53ro 3.u*o
1.90*1
l.BWl
C.lWO 6.53*0
2.82,1 2.7@*1
9.23rO 5.7I)+o
3.66+1 3.77+1
l.ta+i 1.22*1
a00 Il.w3*3)
l.LS*l 1.21+1
e.o2*0 3.51*0
2.10*1 2.0*+1
5.5O+D 6.46*0
3.12rl 3.03+1
1.02*1 3.72+0
l .29*1 e.17+1
1.4211 1.39+1
B50 ll.~Y*J~
1.37+1 1.33*1
a.QZ+O
2.31+1 2.2Wl
7.40+0 7.11+0
3.*3+1 3.3.a
1.12*1 1.07+1
l .72*1
1.56*1
~.lS~O
*.59*1
1.*9+1
ll.31*3)
See page 480 for Explanation
Atomic
--_
40.00
30.00
AWSLE
.- ----
Data and Nuclei Doblabbr,Vol.
1.52*0
of Tables
15, No. 5, May 1975
492
4.lWl
1.16+1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
TABLE I. Target Thickness (in g/cm’)
Tables
vs. Angular Spread (in mrad)
PROTONS THROUGH 10 ANGLE
5.00
ENERGY IP C-RI
FUHN
SD
10.00 FU.lR
SO
FUHH
15.00 FY.lM
SO
FYHM
20.00 FU.lW
SO
FYHW
FU .lN
200 l6.37+21
2.15-l 2.07-I
4.74-2 4.51-2
1.56-7 1.41-Z
7.45-l 7.19-I
1.60-I 1.53-I
5.22-2 4.81-Z
1.5.rO 1.a9.0
3.31-l 3.17-l
1.07-l
2.57+0
5.58-l
9.93-2
2.,5+o
5.33-l
1.78-l 1.66-A
250 17.20+2)
3.12-1 3.01-I
6.63-Z 6.51-Z
2.24-Z 2.03-2
1.08.0 1.09.0
2.32-l 2.23-l
7.54-2 6.96-2
2.24+0 2.17+0
4.60-l 4.62-l
1.55-1 1.,.-l
3.75+0 3.63.0
5.06-l 7.76-l
2.59-l 2.42-l
300 17.98rZI
4.22-l Q.O6-1
9.17-2 8.75-2
3.00-2 2.73-2
1.47+0 1.92+0
3.14-I 3.01-I
1.01-I 9.90-P
3.04+0 2.95.0
6.,9-l 6.25-l
2.09-L 1.95-I
5.09.0 4.94.0
1.09.0 1.05+0
3.51-l 3.28-l
350 18.71+21
5.43-l 5.23-l
1.17-I 1.12-I
3.83-Z 3.50-2
1.99+0 1.83+0
4.03-l 3.67-i
1.30-I 1.20-I
3.93.0 3.a1+0
8.36-l 8.05-l
2.69-l Z.Sl-1
6.500 5..3n+o
l.,O+D 1.35ro
4.51-l 4.23-l
YOO 6.74-l I9.41.2 1 6.1)9-l
1.45-l 1.38-l
4.73-2 4.34-2
2.35*0 2.28*0
5.00-I
1.61-I 1.@9-1
4.69.0
1.03+0
4.81-l
b79.0
l.OD+O
3.33-l 3.12-1
6.19.0 7.95.0
1.74+@ 1.65+0
5.61-I 5.26-l
"50 11.00+31
8.14-l 7.85-l
1.75-l 1.67-l
5.63-Z 5.23-2
2.86+0 2.76+0
6.04-l 5.81-I
1.94-l 1.81-I
5.93.0 5.75+0
1.25+0 1.21**
4.03-I 3.77-l
9.93+0 9.64.0
2.11.0 2.04+0
6.78-l 6.36-l
500 11.07+31
9.63-l 9.29-l
2.06-I 1.97-l
6.70-2 6.17-2
3.37+0 3.27+0
7.14-l 6.87-l
2.30-l 2.11-l
7.03+0 6.82~0
1.en*o 1.13+0
4.77-l @.46-1
1.17+1 1.14.~
2.50*0 2.41+0
5.02-l 7.54-l
550 ll.13+3)
1.12+0 1.08.0
2.39-l 2.23-l
7.77-z 7.16-2
3.93+0 3.81+0
8.30-I 7.39-l
2.67-l 2.49-1
8.19.0 7.95.0
1.73+0 1.66+0
5.54-l 5.19-l
1.37+1 1.33+1
2.91+0 2.a1+0
9.34-l 0.78-l
600 11.20+31
1.28+0 l-24+0
2.74-l 2.63-l
8.83-2 8.20-2
9.51+0 4.37+0
9.52-l 9.17-l
3.06-l 2.85-I
9.41+0 9.13.0
1.96+0 1.91.0
6.36-l 5.96-l
l-57*1 1.53+1
3.3,+0 3.23+0
2.07*0 1.00+0
650 11.26+31
l.YS+O 1.40+0
3.10-I 2.97-l
1.0s1 9.28-Z
5.1210 4.97.0
1.07+0 1.01+0
3.46-l 3.23-l
1.06+1 1.03.1
2.25+0 2.17+0
7.21-1 6.76-I
1.79+1 1.79.1
3.79+0 3.67+0
1.21ro 1.14.0
700 ll.32+31
1.63*0 1.58.0
3.48-l 3.33-l
1.12-l 1.04-I
5.76+0 5.58+0
1.21to 1.16.0
S.BB-1 3.63-l
1.2011 1.16+1
2.52+0 2.Wb.O
6.09-1 7.60-l
2.01+1 1.95+1
4.26+0 4.12+0
1.36*0 1.20+0
750 11.38+3,
1.a2+u 1.76.0
3.87-l 3.71-I
1.25-l 1.15-I
6.4210 6.22+0
1.34+0 1.30+0
4.32-l 4.01-l
1.33+1 1.30+1
t.n1+0 2.72+0
9.01-l 8.46-l
2.24*1 2.18+1
4.75*0 q.59+0
1.52+0 1.43+0
800 11.13+31
2.01*0 1.94+0
4.27-l 4.10-I
1.38-l 1.27-I
7.1o+u 6.88+[1
1.99+0 1."3+0
4.77-l 4.47-l
l.q8+1 l-43+1
3.11+0 3.00+0
9.95-l 9.36-l
2.48+1 2.,1+X
5.25+0 5.oa+o
I.6810 1.58*0
850 ll.b3+Jl
2.21+0 2.13+0
4.68-l 4.50-I
1.51-l 1.90-I
7.ao+o 7.57+0
1.63*0 1.57+0
5.24-l 4.91-I
1.62.X 1.58+1
3.4210 3.30+0
1.09.0 1.02+0
2.7211 2.65+1
5.77+0 5.59+0
1.a1*0 1.74*0
,__---___ ANGLE ENERGY IP C-III
90.00
30.00 so
FYHH
FY.lti
SO
FUHM
50.00 FU. lfl
SO
FUHM
60.00 FU.lW
SD
FYWM
FU.111
200 16.37.21
5.21+0 5.05+0
1.14+0 1.10+0
3.70-l 3.96-I
1.31+0 1.85+0
6.21-l 5.84-l
I.2011 1.16+1
2..94+0 2.75+0
8.75-l
1.57*1 1.52+x
3.92+0 3.79+0
1.29+0
n.19+0
250 17.20121
7.62+0 7.39.U
1.61+0 1.61+0
5.39-l 5.05-I
1.23+1 1.13+1
2.79.0 2.7010
9.06-I 8.53-l
1.75+1 1.70+1
4.15+0 4.02.0
1.35+0 1.2710
2.29*1 2.23+1
5.72+0 5.54+0
1.88*0 1.7a+o
300 17.3a+21
l-03+1 1.00+1
2.2610 2.1a+o
7.29-l 6.66-l
1.67+1 1.63+1
3.79+0 3.67+0
l-22.0 1.15+0
2.38+1 2.32+1
5.64+0 5.46+0
1.09.0 1.73+0
3.12+1 3.03+1
7.79+0 7.54+0
2.55+0 t.e2+0
350 i8.71+2)
1.33+1 1.3011
2.92+0 2.82,0
3.40-l 8.85-l
2.16+1 2.10+1
9.90+0 9.7e.o
1.5a+o 1.49+0
3.0811 3.00+1
7.29+0 7.06+0
2.37+0 2.21+0
4.03+1 3.92+1
1.00+1 9.74+0
3.30+0 3.13+0
400 l3.41+21
1.66,1 1.62+1
3.63.0 3.51+0
1.16,0 1.10+0
2.70+1 2.62,1
6.1010 5.90+0
1.97+0 1.86.0
3.81.1 3.74+1
9.on+o 8.80+0
2.95.0 2.50+0
1.25+1 1.21*1
4.11+0 3.90.0
150 11.00+31
2.02+1 1.96.1
q.bO+O 4.26.0
1.*1*0 1.33*0
3.27+1 3.1s+1
7.39.0 7.16+0
2.3810 2.25+0
Q.65.1 4.52.1
1.10+1 1.06+1
3.58iO 3.39.0
1.51+1 1.47+1
w.90+0 q.73+0
500 il.07131
2.39+1 2.33+1
5.21+0 5.05+0
1.67+0 1.58+0
3.87+x 3.77+1
8.76+0 a.49+0
2.s3+0 2.67+0
1.30.1 1.26+1
*.29+0 4.02+0
l.bo*l 1.74+1
5.91*0 5.61*0
550 ll.13+31
2.73+1 2.71+1
6.08.0 5.88+0
1.95.0 1.n4*0
e.51.1 4.33+1
1.02+1 9.90*0
3.29+0 3.1210
1.52+1 1.97+1
ll.95+0 b.69.0
2.09+1 2.Lllrl
6.(19+0 6.54+0
600 Il.20+31
3.20.1 3.12+1
6.98+0 6.76+0
2.2410 2.11*0
1.17+1 1.13+1
3.70+0 3.5nto
1.74+1 1.69+1
5.6810 5.39+0
2.Wl.l 2.34+1
7.92+0 7.53+0
650 11.26~31
3.64+1 3.54.1
7.92+0 7.67rO
2.54.0 2.90+0
1.33+1 1.23+1
II. 30.0 4.07+0
1.98.1 1.92.1
6.45+0 6.13+0
2.73+1 2.65+1
a.99+0 9.55+0
700 ll.32+31
9.09.1 3.98.1
8.9lTO 8.63+0
t.as*o 2.7010
1.19.1 1.q5.1
4.a3+0 9.58.0
2.23+1 2.16+1
7.26*0 6.59+0
3.07*1 2.98.1
1.01*1 9.62.0
750 11.38i31
11.5511 9.43+1
9.93*0 9.62+0
3.18.0 3.01+0
l-66.1 1.61+1
5.3*+0 5.11+0
2.118.1 2.91.1
a.o9+0 7.69+0
3.4211 3.33+1
1.12*1 1.07+1
803 11.43+31
1.09.1 1.06+X
3.5210 3.33+0
1.84.1 1.73+1
5.96.0 5.65+0
2.75+1
n-95*0
2.67+1
6.5lSO
3.79.1 3.65+1
1.24*1 l.lWl
850 ll.49*31
1.20+1 1.17*1
x.87+0 3.66+0
2.03+1 1.97+1
6.55+0 6.22+0
3.02+1 2.93.1
9.05+0 9.36.0
4.16+1 4.05.1
1.37+1 1.30+1
See page 480 for Explanation
a.*3+0
9.29-l
1.21+0
of Tables
493
Atomic Data and Nuclear Doto Tables, Vol. IS, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH CS ANGLE ENERGY IP c-n,
5.00
SD
FUHM
10.00 FU.lM
SO
FYUH
15.00 FY.lPI
FYHN
20.00 FU.lN
SO
FUHR
FU.111
200 16.3612,
2.01-l 1.93-1
4.47-z 4.24-Z
1.47-2 1.33-2
6.35-1 6.70-l
1.50-l 1.43-l
4.90-z 4.49-2
1.43+0 1.3a+o
3.03-1 2.96-1
1.00-t 9.26-2
2.39*0 2.31+0
5.16-l 4.96-1
1.67-1 1.55-l
250 17.22ri1
2.31-1 2.80-l
6.41-Z 6.10-Z
2.11-Z 1.51-2
1.00+0 9.74-1
2.17-l 2.08-l
7.06-Z 6.50-Z
2. os+o 2.02+0
4.47-l q.30-1
1.44-l 1.3q-1
3.49ro 3.39+0
7.50-l 7.21-1
2.62-l 2.25-l
302 l8.00+21
3.53-l 3.76-l
8.59-2 6.18-Z
2.81-Z 2.56-Z
1.36+0 1.31+0
2.92-1 2.80-l
s.*a-2 a-75-2
2.63+0 2.74*0
6.04-l 5.81-l
1.95-1 1.61-l
*.73+0 4.SB~O
l.Ol+O 5.76-l
3.26-l 3.04-l
350 18.73*21
s.o5-1 4.66-l
1.09-1 1.04-I
3.53-2 3.27-2
1.75+0 1.69+0
3.75-l 3.60-l
1.21-l 1.12-l
3.64+0 3.53*0
7.76-l 7.47-l
2.50-l 2.33-l
6.11+0 5.92+0
1.3oa 1.25+0
4.19-1 3.92-1
400 i9.44+2l
6.26-l 6.03-l
1.35-1 1.29-1
4.42-2 *.04-2
2.1.9+0 2.11+0
4.65- 1 c).q6-1
1.50-l 1.39-l
4.53+0 9.39*0
3.63-1 3.27-1
3.10-l 2.85-1
7.60+D 7.37*0
1.61+0 1.56+0
5.20-l 4.87-l
450 11.01+3~
7.55-l 7.28-l
1.63-l 1.55-l
5.31-Z 4.67-2
2.64*0 2.55+0
5.61-1 5.33-1
1.81-l 1.68-l
5.49+0 5.3210
1.16*0 1.12+0
3.74-1 3.49-1
9.20+0 e-93+0
1.95+0 l.a6+0
6.26-l 5.89-1
500 11.07+31
8.93-1 8.61-1
1.32-1 1.63-1
6.25-2 5.74-Z
3.12+0 3.02+0
6.62-l 6.37-l
2.13-l 1.98-1
6.50+0 6.30*0
1.37*0 1.32+0
4.42-1 4.13-1
1.03*1 1.05+1
2.3lrO 2.23.0
7.43-l 6.97-1
550 11.14*31
1.03co 1.00+0
2.22-l 2.13-1
7.24-2 6.66-Z
J-63+0 3.52+0
7.70-l 7.@0-1
2.47-l 2.30-l
7.57ro 7.34+0
l-60*0 1.54+0
5.13-1 4.80-l
l-27+1 1.23+1
2.69*0 2.60+0
8.64-l 8.11-l
600 l1.20*3~
1.18+0 1.14+0
2.55-l 2.44-l
8.27-z 7.62-2
4.17+0 4.oq+o
8.82-l 8.98-l
2.83-l 2.64-l
6.70+0 a-44+0
1.83+0 1.77+0
5.08-S 5.51-l
1.45*1 1.41+1
3.09+0 2.9wo
9.90-1 9.31-l
650 #1.26+31
1.34+0 1.30+0
2.88-l 2.76-l
9.35-2 8.62-2
1.73*0 4.58+0
9.93-1 9.61-1
3.21-l 2.99-1
9. a7+0 9.58ro
2.owo 2.00*0
6.67-l 6.25-l
l.bS+l 1.60+1
3.50+0 3.3wo
1.12+0 1.05*0
700 11.32+31
1.51+0 1.*6+0
3.23-l 3.09-1
1.04-I 5.65-2
5.31+0 5.15+0
1.12*0 1.07*0
3.60-l 3.36-l
1.10+ 1 1.07+1
2.3340 2.25+0
7.48-l 7.01-l
1.66rl 1.no*1
3.93+0 3.60+0
1.26*0 l.lWO
750 11.38*31
1.66+0 1.6210
3.59-l 3.44-l
1.16-1 1.07-l
5.92+0 5.74+0
1.24+0 1.20+0
4.00-l 3.73-l
1.23+1 1.20+1
2.60*0 2.51+0
6.32-l 7.61-l
2.07+1 2.01+1
4.3640 4.24*0
1.40*0 1.32*0
800 11.44+31
1.1)5*0 1.79+0
3.36-1 3.79-1
1.29-l 1.18-l
6.55+0 6.35+0
1.37+0 1.32+0
9.42-l 4.13-I
l-36+1 l.32rl
2. a7*0 Z-77*0
9.28-1 6.63-l
2.29+1 2.22+1
4.05*0 4.66+0
1.55+0 1.46*0
850 ll.50+31
2.04*0 1.97+0
4.34-l 4.16-l
l.#o-1 1.29-1
7.19+0 6.97CD
1.51+0 1.45*0
q.os-1 4.53-l
1. so+1 I.45*1
3.15+0 3.04*0
1.01+0 9.46-l
2.52*1 2.45Cl
9.32+0 5.1510
1.70+0 1.60+0
__ - - - - - - __-----ANELE ENERGY IP c-n1
30.00 SD
FYWM
--------
40.00 FU .lR
SD
FUHII
-------_
.__L-----
60.00
SO.00 FU.ltl
SD
FUWn
.---------I--
FY.ll!
SD
FYWI
FM.111
200 l6.38+2J
4.07+0 4.72eD
l-06+0 1.02+0
3.45-l 3.22-l
7.93*0 7.69*0
1.7mo 1.72+0
5.76-l 5.42-l
1.13+1 1.10+1
2.65+0 2.56*0
9.65-l 0.13-1
1.49*1 1.45+1
3.6’3+0 3.53*0
l-20*0 1.13+0
250 ,7.22+2,
7.11+0 6.90+0
1.55+0 1.qs*o
5.01-l 4.63-l
1.15+1 1.12*1
2.60+0 2.51+0
8.42-l 7.91-1
1.66+1 1.61+1
3.a7+0 3.74*0
1.2510 1.18+0
2.13+1 2.13+1
5.33+0 5.16*0
1.75*0 l&5+0
300 18.no~21
S-65+0 s-37+0
2.10+0 2.02+0
6.77-l 6.35-l
1.57+1 1.52+1
3.52+0 3.4010
1.13+0 1.07*0
2.25+1 t.lS+l
5.2400 5.07+0
1.70*0 1.61+0
2.97+1 2.09*1
7.24*0 7.01+0
2.37*0 2.7.4+0
350 18.73+21
1.21)+1 1.2lCl
2.71*0 t-61+0
6.72-l 8.19-1
2.03+1 1.97*1
4.54*0 q.39*0
1.46+0 l-38+0
2.91+1 2.63*1
6.77+0 5.55*0
2.20*0 2.07*0
3.(13+1 3.73+1
9.35*0 9.05*0
3.06*0 2.69+0
400 19.44+21
1.55+1 1.50*1
J-36*0 3.25*0
l.OWO 1.01+0
2.52+1 2.@6*1
S-65+0 5.47+0
1.62+0 1.72*0
3.62+1 3.52+1
8.42*0 I).lb+O
2.73+0 2.50+0
4.77+1 4.65+1
1.1m1 t-12*1
.%.a4*0 3.c4+0
150 11.01r31
l.GWl 1.n2+1
Y.D7+D 3.94*0
1.31+0 1.23+0
3.06+1 2.9a+1
6.64*0 6.62*0
t-20*0 2. oa+o
4.36,). q-27*1
1.02+1 9.8Bw7
3.31*0 3.13+0
X.40*1 1.36*1
4.61*0 4.37*0
500 11.07*31
t-22+1 2.16+1
4.82+0 4.66+0
1.55*0 1.46CO
3.63+1 3.53+1
0.11+0 7. e-3+0
Z-61+0 z.q7+0
1.20*1 1.17+1
3.92+0 3.71*0
1.67+1 1.6211
5.46*0 5.1b*O
550 11.14+31
2.59*1 2.52+1
5.62+0 s.q3+0
1.8010 1.70+0
4.22+1 4.11*1
9.45+0 3.15*0
3.04+0 2.awo
1.+0*1 1.36+1
4.57+0 4.33+0
1.94+1 1.88+1
6.36*0 6.04*0
600 11.20.3,
2.98*1 2.89+1
6.45+0 6.24+0
2.07rO 1.95+0
c.a5+1 4.72+1
1.oar1 l-06+1
3.49*0 3.30+0
l-61*1 l-56+1
5.25+0 4.97+0
Z-23+1 2.16+1
7.31*0 6.94*0
650 11.26+31
3.36+1 3.29+1
7.32+0 7.06,0
2.34*0 2.21ro
1.23*1 1.19.1
3.96+0 3.75*0
1.03+1 1.71)*1
5.95+0 5.6WO
2.55*1 2.46+1
8.30*0 7.86*0
700 (l-32+31
3.80+1 3.69+1
e.22*0 7.56+0
2.63*0 2.49+0
1.36+1 1.3491
4.45+0 4.22+0
2.06+1 2.00*1
6.69+0 6.35+0
2.65*1 2.76+1
9.33*0 8.866,0
750 ‘X.38.3,
q-23+1 4.12+1
3.16+0 6.67+0
2.93+0 2.77*0
1.54+1 1.49*1
4.96*0 4.70+0
2.30*1 Z-23+1
7.46+0 7.09+0
3.17*1 3.01*1
1.04+1 9.8MO
800 Il.44131
4.68+1 4.55*1
1.01+1 9.01*0
3.24+0 3.07ro
1.7011 1.65+1
5.49+0 5.20+0
2.54*1 2.46*1
6.25+0 7.64+0
3.51+1 3.41*1
1.15*1 1.09*1
1.1141 1.07+1
3.56+0 3.37.0
1.97*1 l-81+1
6.03*0 5.72tO
2.79+1 2.71+1
5.07*0 9.62*0
3.96*1 3.75+1
I.2641 1.20*1
650 12.5013,
See page 480 for Explanation
Aton* Dab ad
SO
of Tables
Nuclear Dolo Tables, Vol. 15, No. 5, May 1975
494
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH HF lNGLE
5.00 FYHM
10.00 FY.lM
SO
FYHM
15.00 FY .lW
SO
FYWM
20.00
ENERGY IP c-n,
SO
FM.11
SO
FUH1w
200 1C.Co+21
1.70-l 1.62-I
3.81-2 3.61-2
1.27-i 1.13-z
5.81-l 5.53-l
1.27-1 1.21-L
4.16-2 3.79-2
1.19+0 1.15'0
2.59-l 2.46-1
a.45-2 7.77-2
1.99+0 1.93+0
4.32-l 4.14-l
l.?G-1 1.29-1
250 t7.23+2)
2.44-l 2.34-l
5.44-z 5.16-2
1.80-z 1.62-Z
a.41-1 8.10-i
1.82-i 1.74-t
5.96-2 5.*5-2
1.73+0 1.67+0
3.74-1 3.59-1
1.21-1 1.12-1
2.90*0 2.80+0
6.25-l 6.OC-1
2.02-1 1.87-i
300 I a.92+2>
3.26-l 3.15-1
7.26-2 6.90-2
2.35-2 2.16-2
1.13+0 1.09+0
2.45-l 2.34-l
7.98-2 7.32-2
2.34+0 2.27+0
5.09-l 4.83-l
1.63-l l-51-1
3.92*0 3.8010
8.43-i 8.10-l
2.72-l 2.53-l
350 18.75.2,
4.21-I Y.W-1
3.25-2 8.80-Z
3.04-i 2.75-2
1.*5+0 1.40+0
3.13-l 3.00-l
1.01-l 3.37-2
3.02+0 2.92+0
6.Q6-1 6.20-l
2.06-l 1.93-l
5.06+0 4.90+0
l.OB+C 1.04+0
3.99-l 3.25-l
YOU 5.21-l I s.b6*2 1 5.00-l
1.13-I l.oa-1
3.74-2 3.33-2
t.ao+o 1.7440
3.87-l 3.71-l
1.25-1 1.15-1
3.75+0 3.63+0
a.oo-1 7.69-l
2.58-l 2.39-l
6.2a+o 6.09+0
1.34.0 1.23+0
4.32-l 4.03-l
u5u 11.01+3)
6.27-l 6.03-l
1.36-1 1.30-l
4.48-z s.oa-2
2.ia+o 2.10+0
4.66-l 4.47-l
1.51-l 1.39-1
9.53+0 q.39+0
9.6@-1 9.27-t
3.11-1 2.89-i
7.60+0 7.37+0
1.61*0 1.56+0
5.21-1 4.96-l
500 11.38+31
7.40-l 7.12-l
1.60-I 1.53-1
5.26-Z 4.80-z
2.58+0 2.99*0
5.50-l 5.28-l
1.78-l 1.64-l
5.36+0 5.19+0
1.13+0 1.09+0
3.66-l 3.41-1
s.oo+o a-72+0
1.91~0 1.84+0
6.15-l 5.75-l
550 11.14+3!
8.59-l 8.27-l
1.86-1 1.77-1
6.08-Z 5.56-Z
3.0010 2.90*0
6.38-I 6.13-l
2.06-I 1.31-1
6.2410 6.04+0
1.32+0 1.27+0
4.25-l 3.96-l
1.04+1 1.01+1
2.22+0 2.14+0
7.14-1 6.68-l
600 11.20+3)
9.84-l 9.4.8-1
2.12-l 2.03-l
6.93-2 6.35-Z
3.43+0 3.32+0
7.30-l 7.01-l
2.35-l 2. la-l
7.16+0 6.94+0
1.51+0 1.45+0
4.87-l 4.54-l
1.20*1 1.16+1
2.54+0 z.q5+0
8.28-l 7.66-l
650 Il..z6+31
1.11*0 1.07+0
2.40-1 2.23-1
7.82-z 7.11-Z
3.89+0 3.77*0
8.27-l 7.34-l
2.66-l 2.47-l
a.lz+o 7.8?+0
1.71*0 1.65+0
5.51-l 5.15-1
1.36+1 1.32*1
2.amo z.?a+o
9.26-l 8.68-l
100 I l-32*3)
1.24*0 1.20+0
2.66-l 2.57-l
8.75-z 6.03-t
4.37*0 4.23*0
9.26-l
8.30-1
2.98-l 2.17-l
9.12*0 8.8WO
1.92+0 1.95+0
6.18-1 5.77-l
1.53+1 1.4aq
I.2410 3.12+0
1.03*0 9.74-l
750 1l.38+3t
i.3aro 1.33+0
2.98-1 2.85-l
9.70-2 8.91-2
4.66+0 . . 7140
1.03ro 9.30-1
3.31-l 3.08-i
1.01+1 9. a4+0
2*14+0 2.06+0
6.87-l 6.42-l
1.7011 1.65+1
3.60*0 3.4a+o
1*15*0 i.oa+o
800 11.44+31
1.53+0 1.47*0
3.28-l 3.14-1
I .06-l 9.82-2
5.3810 5.20+0
1.13+0 1.09+0
3.66-l 3.40-l
1.12*1 l.OWl
2.36~0 2.28+0
7.58-l 7.10-l
i.aarl l.a3+i
3.96+0 3.04+0
1.27+0 1.13+0
a50 11.50+31
i.68+0 1.az+o
3.60-l 3.45-1
1.16-l 1.07-l
5.90+0 5.72+0
1.24+0 1.20+0
4.01-l 3.73-1
1.23+1 l.lS+l
2.59+0 2.50*0
6.32-l 7.79-L
2.0?+1 2.01+1
4.37*0 4.2200
1.eo+o 1.31+0
._____^__ ,__-__----------- - --____-___---__.
---------------
30.00
hN6LC
.------
W0.M
50.00
ENEREY CP C-MI
SO
FYHII
200 l6.40+21
4.0?*0 3.94+0
8.91-l 8.57-1
2.88-l 2.68-l
6.67+0 6.46*0
1.4aeo 1.43*0
4.82-l 4.51-l
9.64+0 3.35+0
250 1?.23*2)
5.93+0 5.75rO
1.29*0 1.24ro
4.17-l 3.89-l
5.73*0 9.43*0
2.16+0 z.oa+o
7.00-l 6.55-l
300 la.o2*2t
a.o4*0 7.00+0
1.74*0 l.barO
5.63-l 5.26-l
1.31*1 1.28el
2.92*0 2.82+0
350 la.75+21
1.03+1 x.00+1
2.24*0 2.16-O
7.23-l 6.77-l
1.70+1 1.65+1
400 13.46*21
1.2811 1.25+1
2.78*0 2.66+0
8.96-1 8.40-1
450 dl*O1*3)
1.3&*1 1*51*1
3.36*0 3.24~0
500 tl.oa+3t
1.a4+1 1.7991
550 t1.14+31
FN.lM
SO
FYHW
FY. lI
FY.lM
SO
FYHH
60.00 FY.lll
so
FYIM
FLlW
2.21+0 2.13+0
7.20-l 6.75-l
l.2a+l 1.24+1
3.05+0 2.94+0
3.33-1 9.38-1
l.W*l
3.2lW
1.36*1
3.10+0
l.m*o 3.02-1
1.8?,1 1.52*1
4.44*0 4.29*0
1.45*0 1.36*0
s.a5-1 8.86-l
1.90*1
4.35*0
1.*1*0
1.95+1
4.20*0
1.32*0
2.54*1 2.47rl
6.01+0 5.82+0
l.SS+O 1.05*0
3.76*0 3.63+0
1.21+0 1.14*0
2.46*1 2.39+1
5.61+0 5.42*0
1.8lW 1.71+0
3.28+1 3.19+1
7.7s*o 1.5010
2.52*0 2.38*0
2.11*1 2.05+1
4.67*0 4.51+0
1.50*0
1.e1.0
3.06+1 2.91+1
6.97*0 6.7W0
2.25+0 2.13+0
4.06+1 3.96*1
3.64+0 9.33.0
3.1*+0 2.96*0
1.08+0 1.01*0
2.56+1 2.48+1
5.65+0 5.4600
3.70*1 3.60+X
0.43+0 8.16*0
2.73+0 2.5?+0
e.93+1 4.8011
l.lC*l
1.71+0
1.12*1
3.ao*o 3.59*0
3.96+0 3.84*0
1.27+0 1.20+0
3.03*1 2.34+1
6.69*0 6.47+0
2.03+0
4*39+1 4.26+1
9. sa+o 9.66+0
3.23*0 3.06*0
1.30*1 1.33*1
4.49*0 4.25*0
2.15+1 z.oa+l
4.63*0 4.e7+0
i.4a+o 1.33*0
3.53*1 3.43*1
?.78*0 7.53+0
2.50+0 2.36+0
1.16+1 1.12+1
3.76+0 3.55*0
1.60*1 1.55+1
5.23+0 4.95+0
600 (1.2013)
2.46+1 2.39+1
5.31+0 5.13+0
1.70*0 1.60*0
4.05+1 3.34+1
8.93rO 8.64*0
2.8?+0 2.71+0
1.33*1 1.29+1
4.31*0 4.08*0
1.84*1
l.?Wl
6.0040 5.69+0
650 l1.26rlJ
2.80+1 2.72*1
6.02+0 5.62+0
1.33*0 1.81*0
4.59+1 4.a7*1
1.01~1 9.8010
3.26*0 3.07+0
1.51+1 1.46+1
4.83+0 4.63+0
2.03+1 2.0341
6.8L+O 6.46*0
700 l1.32+3)
3.14+1 3.0511
6.76+0 6.53+0
2.16+0 2.04+0
1.13+1 1.10+1
3.66*0 3.45+0
1.69,1 1.64*1
5.*9*0 5.20+0
2.35*1 2.20*1
7.65+0 ?.26*0
750 ti.3a+3)
3.50*x 3.40+1
7.52+0 7.28+0
2.41+0 2.2?+0
1.26+1 1.22+1
4.07*0 3.86+0
1. as+1 1.83+1
6.12+0 6.79ro
2.61+1 2.5491
8.52*0 8.09+0
800 11.44131
3.87+1 3.76+1
8.32rO 8.05*0
2.66,0 2.51+0
1.40+1 1.35+1
4.50*0 4.26+0
2.09+1 2.02*1
6.?6*0 6.41+0
2.83*1 2.91*1
9.43+0 8.95*0
850 (1.50131
4.25+1 4.13+1
9.13*0 a.a4+0
2.92+0 2.76*0
1.53+1 1.49*1
4.92+0 q.61)+0
2.25*1 2.22*1
7.43+0 7.04+0
3.18*1 3.0811
1.03+1 9.83*0
See page 480 for Explanation
1.52*0 2.15*0
of Tables
495
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH AU ANGLE ENERGY IP c-tll
5.00 SD
FYHH
X0.00 FY.lN
SD
FYNW
15.00 FY.lM
200 16.40+2)
1.60-l l.f5-1
3.61-Z 3.41-Z
1.20-Z 1.07-Z
5.45-l 5.24-l
1.19-l 1.14-I
3.93-2 3.57-2
250 17.24+2)
2.30-1 2.20-l
5.14-2 4.87-2
1.71-Z
7.89-l 1.59-l
1.71-I
1.53-Z
1.64-l
300 16.02*2~
3.08-l 2.96-l
6.85-2 6.50-Z
2.26-Z 2.04-Z
1.06+0 l.DZ*O
350 16.X+21
3.95-l 3.79-l
8.72-2 8.28-2
2.87-2 2.59-2
400 i9.47+21
9.88-l 4.69-l
1.07-1 1.02-l
3.53-2
450 il.O1+31
5.68-l 5.65-1
1.28-l 1.22-l
SOD ll.o9+3)
6.53-l 6.67-l
55D ll.l4+3J 600 l3.20+3)
9.20-l
SD
FYWW
20.00
FY.lR
SD
FYHH
FY.lH
l.lP+O
2.44-l
7.96-2
1.87.0
l.DB+O
2.33-l
7.30-2
1.90+0
5.62-2
1.62+0
5.13-2
1.57*0
3.51-l 3.36-l
1.14-l 1.05-l
2.30-l 2.20-l
1.51-Z 6.88-2
2.19+0 2.12*0
4.72-l 4.53-l
1.53-l 1.81-l
3.67+0 3.55+0
1.90-l
1.36+0 1.31.0
2.94-l 2.81-I
9.58-2 8.80-Z
2.82+0 2.73+0
5.05-l
1.96-l
5.81-l
1.81-l
4.73+0 4.58*0
9.1,-1
1.69+0 1.63+0
3.63-l 3.48-l
1.18-l
3.50+0 3.39*0
7.49-l
2.42-l
1.19-l
2.24-l
S.Gl+O 5.69+0
1.25+0 1.20+0
@.OI-1
1.08-l
4.22-2 3.83-2
2.04*0
4.37-l 4.19-1
1.41-1 1.30-l
4.23*0 4.10+0
9.03-l 8.67-l
2.91-1 2.70-l
l.lO+O 6.88’0
1.51+0 1.45*0
*.81-l 4.54-l
1.51-l 1.41-l
4.95-Z 4.51-2
2.4lrD 2.32+0
5.15-l
l.S?-1 1.59-l
5.01*0
1.05*0
9.85~0
1.02*0
3.43-l 3.19-X
a.*oa 8.14*0
L?s*o 1.72+0
5.754 5.37-1
8.01-l
l.l+1
Z.BO+D 2.7OW
5.82*0 5.6e+O
3.98-l
9.18+0
5.73-l
1.93-l 1.18-l
1.23+0
1.66-I
5.72-2 5.22-2
5.98-l
l.l@-1
1.19*0
3.11-l
9.4810
2.07+0 P.OO+D
6.68-l 6.24-l
1.99-1 1.90-l
6.52-2 5.96-Z
3.21.0 3.10+0
6.84-l 6.56-l
2.21-I 2.04-l
6.68+0 6.47+0
1.41+0
8.86-l
l-36+0
4.56-l 4.2S-1
1.12*1 X.08*1
2.38+0 2.29*0
7.65-l 7.16-1
650 (1.27+3I
1.04+0 1.0000
2.25-l 2.15-l
7.35-2 6.73-2
3.63+0 3.51*0
7.73-l 7.43-l
2.@9-1 2.31-l
7.57+0 l-34+0
1.60+0 1.54+0
5.15-l .&l-l
1.27+1 1.23+I
2.69*0 2.60+0
8.66-1 8.10-l
700 t1.33+31
1.16*0
2.52-1 2.40-i
I). 22-2 7.52-2
4.08*0 3.9e*o
8.66-l 8.32-l
2.59-l
8. SO+0 a.two
1.79+0 1.13+0
5.7a-t
1.12+0
5.93-l
1.42+1 1.38+1
3.02+0 2.91*0
1.19*0 1.25+0
2.79-l 2.67-l
9.11-2 8.35-2
b.Sk*O l .39+0
9.17+0 9.18+0
1.92+0
6.42-l 6.00-l
1.19+1
9.25-l
3.10-l 2.88-l
2.00*0
t1.39+3y
1.54*1
3.36+0 3.24+0
800 (1.4443I
l.C3+0 1.38*0
3.08-l
1.00-I 9.20-Z
5.01*0 4.85*0
1.0600 1.02ro
3.42-l
2.3*-1
3.28-1
l.OWl 1.01*1
2.20+0 2.12*0
1.09-l 6.62-l
1.75*1 1.10+1
3.71*0 S&W0
850 11.50+3)
1.09-l
1.51+0
1.00-l
3.51+0 5.33*0
1.16+0 1.1210
3.75-L 3.49-l
l.lWl x.11+1
2.62+0 2.33*0
7.77-l 7.27-1
x.93*1 1.87+1
hOI* 3.94*0
fY.lH
SO
fY.lU
so
750
1.57+0
3.37-l 3.23-l
3.19-2
1.97*0
4.95-l
9.63-l
2.19-1
1.06-l
1.32-l 1.21-f
2.72+0
5.86-l
.?.62+0
5.63-l
1.30-t 1.76-l
&NQLC
3.99-l
7.59-l l.Ol+O
2.55-l 2.37-l 3.27-l 3.04-l 3.71-1
60.00 FY.Ul
SO
CNUU
ENERQY IP C-HI
SD
200 lS.W0*21
3.82*0 3.69+0
8.36-l 8.03-l
2.71-l 2.51-l
6.26+0 5.07*0
4.53-l 4.22-l
9.07+0 a. 79+0
2.07*0
x.34*0
1.99+0
6.75-l 6.32-L
1.2x*1 1.17*1
2.86*0 Z.?WO
9.36-l a.774
250 (7.2*+21
5.56rO 5.38*0
1.21+0
3.91-l
1.16*0
3.64-I
9.12+0 8.8WO
2.02+0 1.95*0
6.55-1 6.13-I
1.32+1 1.28+1
3.01+0 2.90+0
9.79-l 9.xa-x
l.lS*l 1.71+1
4.16+0 Q.ol+o
1.35*0 1.27+0
300 7.53+0 1a.o2*2 b 7.29*0
1.63+0 1.57+0
5.27-l *.92-1
1.23+1 1.19+1
2.13*0 2.63+0
8.84-l a.29-i
1.79+1
4.07*0 3.93*0
1.32+0 1.2**0
2.39*1
l.lWl
2.32+1
5.63’0 s.w*o
1.83*0 1.72*0
350 18.16+21
9.10+0 9.+1+0
2.09+0 2.02*0
6.77-1 6.33-l
1.59*1 1..9*+1
3.51+0 3.39+0
1.13+0
1.os+o
2.31*1 2.2*+1
5.24*0 5.07+0
1.70+0 1.60*0
3.09+1 3.00+1
7.25*0 7.01+0
2.36+0 2.22*0
900 1.20*1 I9.@7*2 b 1.17*1
2.60+0 2.51+0
8.38-I. 7.85-l
i .9a+i 1.92*1
a.31*0 4.22*0
1.*1+0 1.32+0
2.a7+i 2.79+1
6.51*0 6.30*0
2.11*0 b9a*o
t&4*3 3.73+1
3.01*0 a.72+0
2.43+0 2.77+0
450 11.01+31
3.14+0 3.03+0
1.01+0 9.48-l
2.39+1 2.32+1
5.28+0
1.*1+1
5.10+0
1.70+0 1.60+0
3.47*1 3.30+ 1
7.01+0 l-62*0
2.65+0 t.w*o
@.6Wl l .51+1
t.o3*1 1.05*1
3.54*0 3.35*0
500 ll.O8+3)
1.07*1
3.71*0 3.59+0
1.19+0 1.12+0
2.83+1 2.15+1
6.2WO 6.03*0
2.01+0 1.89+0
4.x1+1 *.00+1
9.32+0 9.02*0
3.01+0 2.awO
1.29*1 l.ZI*l
4.19*0 3.96*0
550 f 1.14131
2.OlCl 1.95+1
4.32+0 4.17+0
1.38+0 1.3040
3.30*1 3.21+1
7.26+0 7.02*0
2.34+0 2.20+0
4.78.1 4.65+1
i.oari 1.05+1
3.50*0 3r31ro
1.50*1 1.Wl*1
a .a8+0 l .52*0
600 11.20+31
2.3011 2.24+1
9.95+0 4.7.8*0
1.59*0
3.79*1 3.98*1
B.33+0 8.06,0
2.68+0 2.53+0
1.24*1 1.20*1
4.02*0 3.80+0
1.7211 1.67+1
5.60*0 5.30+0
650 Il.27~31
2.61+1 2.54+1
5.61+0 5.43*0
..3O.L ..lB.l
9.15+0 9.14*0
3.04+0 2.1)6+0
1.11*1
1.69+0
1.36*1
4.56+0 4.31*0
1.9541 1.89*1
C-35+0 6.01+0
700 t1.33*31
2.93+1
6.30+0 6.03+0
2.02+0 x.90+0
4.82*1
2.85+1
Q.69+1
1.06+1 1.02*1
3.41+0 3.22+0
1.58+1 1.53+1
5.12*0 l . 84+0
2.1941 2.12*1
7.13*0 6.76+0
750 11.39+3)
3.21*1 3.18rl
7.02*0 6.78+0
2.25+0 2.12+0
1.1841 1.14*1
3.80+0 3.58’0
1.76*1 1.71+1
5.70*0 5.39+0
2.44*1 2.37+1
7.94*0 7.s3*0
S.&l+1
1.45+1 1.72+1
1.e9+0 1.80+0
1.39+0
fY.ln
ll.cI+sI
3.51+1
7.75+0 7.50*0
2.48+0 2.34rO
1.30+1 l.P6+1
4.20+0 3.96+0
1.95*1 1.89+1
6.30+0 5.97+0
2.7041 2.62*1
a.7a*o 8.33+0
850 11.50*3)
3.97rl 3.86+1
8.52*0 8.24+0
2.73+0 2.57+0
1.43*1 1.38.L
4.61+0 4.36+0
2.14+1 2.07+1
6.92+0 6.56+0
2.96+1 2.87*1
9.6510 9.16*0
800
See page 480 for Explanation
of Tables
Atomic Data and Nuclear Dab Tables, Vol. 15, No. 5, May 1975
496
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickn ess (in g/cm2) vs. Angular Spread (in mrad) PROTONS ANGLE ENERGY IP
so
THROUBH
PB
10.00
5.00
FY.lM
FUHM
SC
15.00 50
FYHM
2o.oc FY.lM
SO
FYHM
cu.111
FUHH
FY.111
3.88-z 3.52-2
1.1010
2.90-l
“.OG-1
2.30-l
7.86-Z 7.20-Z
I.BI+C
1.06+0
1.7a+o
3.83-i
1.20-l
5.55-2 5.06-Z
1.60*0 1. s*+o
3.97-l 3.32-l
1.12-l 1.03-l
2.67W z.sa+o
5.70-1 5.55-l
i-87-i
7.41-Z 6.78-Z
2.16*0 2.05+0
,.66-l
1.51-1 1.39-1
3.621C 3.50*c
7.78-l 7.97-l
2.51-l
2.78*0 2.68*0
5.97-1
1.33-1 1.76-l
b-65+0 *.50+0
3.98-1
3.22-l
9.55-1
2.39-1
5.78TO 5.60*G
l.tS+D
i.la+o
3.98-i 3.71-l
c-n1 200
l6.Pu+21 250 17.21+21 300 l8.02+2l 350 18.76rZt
400 13.97+21
1.58-l 1.51-l
3.57-2 3.37-2
1.19-2
5.38-l
1.18-l
1.06-Z
5.17-1
1.12-l
2.27-l
1.63-2 1.51-2
7.77-l 7.118-l
1.69-1
2.17-1
5.08-Z 4.81-Z
1.61-1
3.0,-l 2.32-1
6.77-2 6.12-Z
Z.ZY-2
1.04+0
2.27-l
2.01-Z
1.00-o
2.17-1
3.83-1
8.61-Z
1.39+0
2.90-1
3.74-l
8.18-Z
z.a+2 2.56-2
l-23+0
2.77-l
9.95-2 8.67-2
4.81-l
1.05-l
1.00-l
1.66+0 1.60,0
3.58-l 3.*3-1
1.16-1 1.07-l
3.*5*0 3.33*0
7.38-l
4.62-1
3.48-Z 3.15-2
7.08-l
2.38-i 2.21-1
5.79-1
5.31-l 5.13-l
1.39-1 1.28-l
2.17*0 Y. 03+0
8.83-1 a.s*-1
2.87-l 2.66-l
6.33.C 6.77+0
1.43+0 1.*3+0
4.ao-1
5.08-i 1.87-l
1.64-l 1.52-l
1).93*0 ..77+0
l.OWO 1.00+0
3.38-l 3.1*-1
a-27+0 a.oi+o
l-76+0 1.69+0
5.66-l
5.89-1 5.61-l
1.90-1 1.76-1
5.73*0 5.55*0
1.21+0 1.17+u
3.92-1 3.65-l
S-62+0 3.32*0
2.0*+0 1.97+0
6.57-l 6.lc)-1
6.73-l 6.*6-l
2.17-l 2.01-l
6.57,0 6.36*0
1.39+0 1.3e+o
N-49-1 8-18-l
1.10+1
3.05*0
1.07*1
t-34*0 2.25+0
7.53-l 7.04-l
3.5a+o 3.46+0
7.62-l 7.31-1
2.*6-l 2.28-l
7.45+0 7.22*0
t-57+0 1.51+0
5.08-l e-73-1
1.25+X 1.21+1
Z-65+0 z.ss+o
8.52-l
2.75-l
1.77*0 1.70+0
5.69-1 5.31-l
1.40+1 l-36+1
2.97+0 z-87+0
9.55-1 8.9b-1
5.56-l
5.72-l
1.3c-1
1.73-1
2.33-l
5.56-1
1.26-l 1.20-l
9.17-Z 3.78-z
2.00*0
(1.01+31 500 ti.na+31
6.83-l 6.57-1
1.49-1 1.*2-1
4.85-2 @.45-2
2.37+0
550 l1.1*+3)
7.92-1 7.62-l
1.72-1 1.64-l
5.65-2 5.14-Z
2.75+0
600 11.20+31
3.06-l 0.72-i
1.96-l 1.87-l
6.45-Z 5.07-Z
3.16+ll
650 ll.27+31
1.02+0 9.87-1
2.22-l 2.12-1
7.26-2 6.65-Z
700 41.33+31
l.lWO 1.10+0
2.*a-1 2.37-l
a.il-2 I.-P-2
l .01*0
3.8810
8.53-l 0.13-l
2.55-l
a-36+0 0.10*0
750 11.39+31
1.27*0 1.23*0
2.75-l 2.63-l
8.38-2 8.23-Z
5.*6+0 6.32*0
s.ea-i 9.11-1
3.05-l 2.83-l
5.31+0 9.02~0
l-36+0 1.89*0
6.32-l 5.90-l
l&6+1 1.51*1
3.31+0 3.19+0
1.06+0 9.95-1
800 l1.%5+3)
1.ao*o 1.35ro
3.03-l 2.90-1
9.69-2 9.07-2
4.93+0 ..77*0
1.oe+o 1.00+0
3.37-l 3.13-l
1.02*1 9.97+0
2.17+0 Z.OS+O
6.97-1 6.52-l
1.72+1 1.6791
3.65+0 3.52+0
1.17*0 1.09*0
as0 11.50+31
1.54~0 1.19+0
3.32-l 3.18-l
1.08-l 3.93-2
5.*1+0 5.24+0
l.lWO 1.10+0
3.69-1 3.93-l
1.13*1 1.09*1
2.38+0 2.29+0
7.65-l 7.15-l
1.a9+1 l-8*+1
e.01+0 3.a7+0
1.2a*o 1.20*0
450
1.93+0 2.23*0
2.66*0
ENERQV IP c-lo
30.00 SO
90.00
FYWll
FY.lM
200 @6.40+21
3.?6*0 3J6@*0
8.2*-l 7.31-1
2.67-l
250 l7.24h21
5.47*0 5.30+0
1.19+0 1.14+0
3.86-I
300 l8.02*21
7.41+0 7.1wo
1.60+0 1.54+0
5.19-l
350 l8.76+21
9.5*0 9.26+0
400 l.ia+i
5.29-1
7.97-1
_-_______-----------------------------------------------------
,---_---_ ANQLE
4.47-l
so
FYHll
50.00 fY.lN
SO
FYHM
60.00 FY.lM
SO
fwan
FY.lM
6.17*0 5.98.0
1.37*0 1.32*0
@.16-l a.16-1
Jl.95+0 B-67*0
2.04+0 1.96*0
6.65-l 6.22-l
1.19+1 1.16,~
2.e.1*0 2.72+0
9.22-1 8.61-l
B.ss*o e.72*0
1.99*0 1.92*0
6.*6-l 6-O@-1
1.3!3+, 1.26+1
2.36+0 2.86+0
9.6*-l 9.01-1
1.7**1 l-69*1
r.os*o 3.35*0
1.33*0 1.25*0
l .ee-1
1.21*1 1.1a+1
2.69*0 2.59+0
a-71-1 8.16-l
l-76*1 1.71r1
q-01*0 3.87*0
t-30+0 1.22*0
Z-36+1 2.29*1
5.54+0 s-35+0
l-80+0 1.70+0
2.06*0 1.99+0
6.66-l 6.23-l
1.57Cl 1.52+1
3.')6*0 3.3@+0
1.11+0 1.04*0
P-27+1 2.21+1
*.sa+o
5.16+0
l-67*0 1.57+0
3.0**1 2.96+1
7.14+0 6.9OW
2.3210 2.19*0
l-38*0 1.30+0
2.03+1 2.75+1
s-111*0 6.20+0
2.07+0 1.96*0
3.73+1 3.66+1
a.87*0 e-58*0
2.8WO Z-72*0
z.ea-1 3.53-1
1.15*1
2.56+0 2.67+0
1).26-l 7.73-l
1.35+1 1.19*1
4.30+0
tS.+lrZl *so 11.01*3~
1.*3*1 1.33+1
3.09+0
z.sa+o
9.96-1 9.33-1
2.36*1 2.23+1
5.19+0
5.02+0
l-67*0 1.57+0
3.62*1 3.3311
7.75+0 7.rs*o
2.50*0 2.36+0
1.07*1 x.03*1
3.49*0 3.29*0
so0 11.0(1*31
X.6%1 1.fi**1
3.55+0 3.53*0
1.17*0 1.10*0
2.73+1 2.71-l
6.18,0 5.9wo
1.99*0 l-86*0
e.o5*1 3.9*+1
3.17*0 a-87+0
2.96*0 2.79*0
l-26*1 1.22*1
4.13-o 3.90*0
550 ll.lW31
1.97*1 1.92*1
*.25+0 ').10*0
1.36+0 1.2mo
3.25*1 3.16+1
7.1e+o 6.31+0
t-30*0 2.16+0
a.7111
l-06+1 1.03+1
3.15*0 3.25+0
1.*7*1 l-es*1
600 81.20+3)
2.26+1 2.20+1
e.97+0 @.71+0
1.66+0 1.47+0
3.73+1 3.62+1
a.zo+o 7.93+0
2.63*0 z.rB+O
1.22*1 l.lWl
3.95*0 3.73*0
1.69+1 l-66+1
t.!X*0 5.21ro
650 t1.27+3)
2.57+1
5.52+0 5.3wo
1.77+0 1.66+0
@.23+1 a.11*1
9.29*0 a.99+0
2.99*0 2.azro
l-36+1 1.3Wl
1.92~1 1.86+1
s-25*0 5.31*0
2.8011
6.20*0 5.99*0
1.99*0 1.a7+0
e.75*1 I.LZ+l
1.oa*1 1.01+1
3.35*0 3.16*0
1.55*1 1.51+1
5.03*0 1.76*0
2.1511 2.09+1
7.01*0 6.6WD
3.21+1 1.1211
6.30+0 6.67*0
2.21*0 2.08+0
l-16*1 1.12*1
s-73*0 3.52*0
x.73+1 1.68rl
5.60.0 5.30+0
2.10*1 2.33+1
7.a1*0 7.40*0
3.5511
7.62+0 7.37*0
z.w+o 2.30*0
1.2Wl 1.24*1
*.12*0 3.90+0
1.91~1 1.8%1
6.20+0 S&6+0
2.s5*1 2.57+X
8.6bO a-19*0
a.37+0 a.10+0
2.68+0 2.53+0
1.e1+1 l-36+1
t.ss+o h.za+o
2.1011 2.04*1
6. a1+0 6.@@+0
2.91+1 Z-13+1
9.*9*0 9.oo*o
700 t1.33+31 750
e1.39*31
a00 ll.e5+3l
2.50*1 2.83+1
3.a5+1
a50 3.50+1 l1.50+31
3.73*1
l .15+0
See page 480 for Explanation of Tables
497
l .59*1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS
5.00
ANGLE ENERBV ,F c-n1
SO
FYHH
TWROUQH HE
10.00
FY.lW
SO
FYHH
15.00 FY.lW
50
FYHW
20.00 tn.111
SO
FUN!,
FY.lN
2.29-1
5.31-Z 5.05-Z
1.79-2
ilrZP*2~
x.58-2
7.99-l 7.70-l
1.78-l 1.70-l
5.0*-2 5.37-2
1.57+0 1.52*0
3.63-l 3.*9-l
1.19-l 1.10-l
z.a7+0 2.39*0
6.00-l 5.77-l
1.98-l 1.a+1
100 l1.83*21
7.37-l 7.10-l
1.61-l 1.54-l
5.28-2 4.83-Z
t.ee+o 2.39+0
5.*9-1 5.27-l
1.78-1 1.65-1
baa+0 e.73+0
1.12+0 t.oa+o
3.67-l 3.@3-1
7.5*+0 7.eo*o
1.56,0 1.79*0
6.1@-1 5.75-l
150 l2.35rZI
1.394 1.3WO
3.02-l 2.89-1
9.86-2 9.07-2
1.68+0 4.53+0
1.03+0 9.97-l
3.36-l 3.13-l
9.19*0 A-92+0
2.12+0 2.05+0
6.91-l 6.50-l
1.~2*1 1.38*x
3.52+0 s.eo*o
1.15*0 1.09*0
200 IZ.Bl~Zl
2.17*0 2.09*0
e-70-1 9.51-l
1.52-l l.Ql-1
1.30+0 7.0810
X.61*0 1.5500
5.21-l
1.*2+1 1.38+1
3.32*0
1.oa*o 1.01*0
2.20*1 2.1341
5.50*0 5.31+0
l-81*0 1.70*0
250 43.30121
3.06,0 2.96*0
6.62-l 6.35-l
2.11-l 1.98-l
1.02+1 9.97+lJ
2.2a+o 2.20+0
7.39-l 6.91-l
1.99+1
@.68W
1.93+1
e.52+0
1.53+0 1.43+0
3.05*1 2.9661
7.75+0 7.e9ro
2.56*0 2.e1+0
300 l3.71+2)
4.06ro 3.9210
B.76-1 8.@1-1
2.83-l 2.63-l
1.35+1 1.3x+1
3.0210 2.91+0
9. ao-1 9.18-i
2.61,1 2.5*+1
6.21+0 6.0010
2.03+0 1.91+0
3.97*1 3.56+1
1.02*1 9.92co
3.40*0 3.21*0
350 16.17*2)
5.1fi+o r.99+0
1.11*0
3.59-l 3.3+1
1.71+1 1.6E+l
3.m*o 3.71*0
1.2q+o
1.06*0
3.28+1 3.19+1
7.89*0 7.62+0
2.5a+o 2.e3+0
*.95+1 11.51+1
1.30*1 1.25*1
1.33*0 b.os*o
400 lS.58+21
6.36+0 6.15+0
1.37.0 1.31*0
1.12-l 9.11-I
2.10'1 2.0*+1
*.00+1
9.71*0
3.88+1
9.39+0
3.18+0 3.00+0
1.59r1 1.5ee1
5.3e+o 5.05+0
150 lY.9W21
7.65+0 7.91+0
1.6*+0 l-58+0
5.32-l 4.95-l
2.52+1 Z.qB+l
5.70+0 5.5010
l.a5+0
1).75+1
1.73*0
q&2+1
1.16*1 1.12+1
3.wro 3.62+0
1.91+1 1.8511
6.13+0 6.0840
500 15.38121
9.OIIO a.75+0
1.91+0
6.28-l 5.85-i
2.96+1 2.aa+1
6.79+0 6.51,0
2.18*0 z.oc+o
1.37*1 1.33*1
@. 54*0 5.2a*o
2.25+1
2.la+l
7.60+0 7.20+0
550 15.76+2)
1.06*1 l.Ol+l
2.26*0
7.31-l
2.ia+o
6.82-l
3.u3*1 3.33*1
7.a*+o 7.5a*o
2.54+0 2.39+0
l.60+1 1.55+1
5.29+0 4.99+0
2.61+1 2.53rl
8.85+0 8.3WO
600 1E..19+21
1.20+1 1.17+1
2.60*0 2.Ll,O
8.10-l 7.a5-1
3.92+1 3.aor1
9.02+0 8.72*0
2.93+0 2.76.+0
i.a3*i x.78+1
6.08+0 5.7SIO
2.99+1 2.90*1
1.0141 9s5+0
650 l6.50+2)
1.37*1 1.33+1
2.96+0 2.85*0
9.56-l
Y.Q3+1 1.30+1
1.02+1 9.92+0
3.33+0 3.14+0
z.oa*i
a.9+i
2.02*1
6.93+0 6.55+0
5.39+1 5.29+1
1.15*1 1.09+1
700 16.87+2)
1.5411 1.50*1
3.3*+0 3.22+0
1.07*0 1.00+0
1(.96*1 Y.az+l
1.15+1 1.11*1
3.76+0 3.55*0
z-3*+1 2.27+1
7.a2+0 7.ao+o
3.80,1 3.69*1
1.30*1 1.23+1
50
2.38-l
l.a7+0
b.a9-1
1.16+0 x.53+0 l.baro
___--__-.___---__ lNGLE ENERGY ‘P c-n1
~O.OU
30.00 SO
FYHH
,_--__-
FY.lM
FYHW
3.20+0
-- --------
--------
60.00
50.00 FY .lU
SD
FYHM
SD
FYRR
FY.ll4
e.za+o
1.19*0
e.i5+0
1.15+0
11.06-l 3.80-x
1.9140 l.a**o
6.71-l 6.30-L
2.59+0
9.55-l 9.27-l
3.@7,0
~l.zzrz*
3.36+0
1.33*0 1*2c*D
100 ,l.83+2,
1.31+1 1.27+1
3.72+0 3.59*0
1.26*0 l.lB*o
5.93+0 5.79+0
2.09+0 1.97+0
8.31*0 8.05+0
3.06+0 2.9010
l.OWl 1.03+1
@.16*0 3.94*0
150 12.35+2!
2.*2+1 Z-35*1
7.02+0 6.79+0
2.39+U 2.25+0
1.11*1
3.96+0 3.79*0
1.55+1
l.oa+i
1.50+1
5.00+0 5.50+0
1.9tl+1 1.92*1
7.17+0 7.4c*o
tz.ac+zn
1.09+1 1.05+1
3.7340 3.53*0
1.7211 1.67+1
6.la*o 5.85+0
2.38+1 2.31+1
9.05*0 5.55+0
3.03+1 2.94*1
1.2241 l.lC*l
25U 13.30121
1.53+1 1.*8+1
5.2a+o q-99*0
2.40+1
8.72+0 a.27+0
3.30*1 3.20*1
1.27+1 1.20+1
*.17*1 4.05*1
1.71+1 l&3*1
300 l3.7*+21
2.01+1
7.0010
3.111+1
1.95rl
6.63+0
3.0511
1.15+1 1.09+1
*.29*1 i).17+1
1.6511 1.59*1
2.25*1 2.14*1
2.EWl
8.a9+0 a.w*o
3.911*1 3.82+1
1.96+1 1.38+1
2.12*1 2.02*1
2.8Wl 2.70*1
1.79+1 1.70+1
2.60+1 z.q7+1
3.47*1 3.30*1
50
200
350
2.33+1
2.68+0
Fll.lIl
Ib.l7+2)
2.16+1
400 qe.sa+zl
3.1011
1.09+1
h.7a+l
3.01+1
1.03*1
Y.68+1
l1.18*2)
3.7011 3.59+1
1.31+1 1.2541
2.15*1 2.05+1
3.11+1 2.96*1
*.13*1 3.9a*1
500 15.38+21
u.53+1 4.21+1
1.55*1 1.47*1
2.53+1 2.1)1+1
3.6Wl 3.*7+x
q.s3*1 4.51*1
550 l5.76+21
I.8011 1.71+1
2.99+1 2.79*1
e.21*1 *.a*1
600 16.1Y121
2.07*1 1.97+1
3.36+1 3.20+1
e.5011 *.5a*1
650 16.5O+Zl
2.35*1 2.23'1
3.81*1 3.63*1
700 l6.a7*21
2.64+1 2.51+1
11.27+1 *.07+1
b50
See page 480 for Explanation
of Tables
Atomic Data and Nuclsor Data Tables, Vol. 15, No. 5, May 1975
498
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS 5.00
ANGLE
fhwl
THROUGH C
10.00 SC
FY .lH
FYHII
15.00
ENERGY IP c-n,
SO
50 t1.25*21
9.02-2 8.69-Z
2.0X-2 x.91-2
6.71-3 6.00-3
3.06-I 2.95-1
6.73-2 6.*3-2
2.20-Z 2.01-2
6.27-l 6.05-l
100 11.9U.Z~
2.7@-1 2.63-I
6.03-Z S.?(-2
1.98-2 1.79-2
3.43-1 9.10-1
2.04-l 1.95-1
6.61-Z 6.12-2
15b 12.9?+2#
5.13-1 Y.SP-1
1.11-l 1.06-l
3.65-2 3.33-Z
1.77+0 1.71.0
3.82-l 3.66-l
200 13.OU*Zl
7.37-1 7.68-l
1.72-t 1.64-l
5.62-Z 5.15-Z
2.76.0 2.67+0
250 13.51+2)
1.11+0 l.OG.0
2.41-l 2.30-l
7.8*-2 7.21-Z
300 lY.ol+zJ
1.18.0 1.42+0
3.17-1 J.OC-1
350 fY.19.2)
1.a7*0 l.%liD
900 1*.97.2~
2o.co SO
1.37-l 1.31-l
q-18-2 @.13-2
1.03+c 9.98-i
2.28-I 2.19-l
7.*5-z 6.90-Z
1.93*0 l.a6+0
4.20-l 4.03-l
1.36-1 1.26-I
3.19.0 3.08*0
7.02-I 6.75-l
2.27-l 2.12-1
1.23-l 1.14-l
3.69.0 3.52.0
7.80-l 7.58-I
2.5*-1 2.37-l
6.00*C s.ar+o
1.32.0 1.27+0
9.26-l 3.33-1
5.32-l 5.69-1
1.91-1 1.77-l
5.66.0 5.*a+o
1.22+0 l.la.0
3.95-l 3.69-1
9.32.0 S.CY.0
2.05.0 1.9a.o
6.63-l 6.21-1
3.8810 3.76+0
a.3i-1 a.OO-1
2.68-l 2.13-1
7.96.0 7.72.0
1.72+0 1.66,0
5.55-1 5.20-I
1.30.1 1.27+1
2.as.o 2.73.0
9.33-l 8.76-l
1.03-l 3.50-2
5.x4.0 q.sa+o
1.09+0 1.05*0
3.54-l 3.30-l
1.05.1 1.02*1
t.za*o 2.20.0
?.3C-1 6.88-i
1.72.1 1.67.1
3 .at+o 3.69*0
1.23.t 1.16.0
4.01-l 3.85-l
1.30-t 1.20-l
6.52.0 6.32*0
1.39*0 1.3e.O
@.*a-1 hia-1
1.33.1 1.29.1
2.89.0 2.79*0
9.31-1 8.74-i
2.17+1 2.11+1
6.85.0 4.69.0
1.56.0 1.e7+0
2.3010 2.23*0
4.33-1 11.73-l
1.59-1 1.17-l
8.02.0 7.78.0
1.71*0 1.6510
5.51-1 5.15-l
1.63.1 1.51*1
3.56.0 3.Q3.0
1.1e.o 1.07.0
2.66.1 2.59.1
5.97.0 5.77*0
1.52*0 1.01*0
950 15.44+21
2.77*0 2.68+0
5.91-1 5.67-l
1.51-1 1.77-l
3.66.0 9.35.0
2.0510 i.sa*o
6.61-l 6.19-1
1.96+1 1.90.1
4.2a.o 4.13.0
1.37.0 X.29*0
3.ia+l 3.10.1
7.ia.o 6.9Q.0
2.32+0 2.19+0
500 l5.91+21
3.27*0 3.17+0
6.37-1 6.65-1
2.24-l 2.08-1
1.13*1 1.10.1
2.e3.0 2.3..0
7.80-x 7.31-l
2.31*1 2.2y*1
5.05.0 e.aa.0
1.62~0 1.53*0
3.76.1 3.6@+1
a.c7+0 a.2010
2.7WO z.sa+o
550 16.37+21
3.a1+0 3.6810
8.09-1 7.76-l
2.61-l z.ez-1
1.32.1 1.28.1
2.82+0 2.72*0
5.07-1 8.51-l
2.67.1 2.60.1
5.87.0 5.68,0
l.as*o 1.7a.o
@.32+l 4.20.1
s.as+o s.s*.o
3.19.0 3.01*0
600 16.82*21
@.37+0 Y.23+0
3.29-1 8.93-l
2.99-1 2.78-1
1.51*1 1.47.1
3.21.0 3.13+0
l.O~.O 9.79-1
3.06.1 2.95*1
6.75.0 6.53*0
2.17*0 2.05*0
6.93.1 l .ao+l
1.13.1 1.03+1
3.66+0 3.46+0
650 17.27+21
e.97+0 @.aZ+O
1.05*0 1.01.0
3.39-1 3.16-l
1.72.1 1.67+1
3.63.0 3.56+0
1.x8.0 1.11.0
3.47*1 3.3a*l
7.68.0 7.*3+0
Z&7*0 2.33.0
1.2G.l 1.2**1
*.17*0 3.9’).0
700 17.71+2)
5.61+0 5.*3+0
1.18.0 l.l*+O
3.82-I 3.56-l
l.SQ*l x.aa+i
e.16.0 4.02.0
1.33+0 1.25.0
?.so*l 3.ao.i
a.65+0 a.37+0
2.7%*0 2.63*0
1.92*1 1.10.1
4.70+0 e.45.0
--^-----
-_-----
ANGLE
I-----30.00 FYHN
-----
--___ ,--------
SO
FUHII
FY.lM
-------------------_----------.
FY.lM
eo.00
ENERGY IP c-H1
SO
50 ll.26+21
2.03+0 1.97*0
4.68-l 4.51-l
1.53-l 1.*2-l
3.ia*o 3.00*0
7.75-l 7.#7-1
100 ll.SO+Z)
6.28+0 6.09+0
l.li)*O 1.33+0
,.70-l @.NO-1
3.78*0 3.50+0
150 I2.47+2)
1.17.1 1.14.1
2.71.0 2.62*0
a. 85-l 8.31-l
200 13.00.21
1.8X.1 1.76.1
a-23+0
4.09.0
250 t3.51+2,
2.50+1 2.&6+1
300 14.01+21 350 14.e9.21
so
FYHM
FY. 1H
FY .ln
60.00
SD
FYH”
FY.lll
SO
2.55-l 2.33-l
4.36.0 4.23.0
1.1a.o 1.10+0
3.80-1 3.56-l
5.ea.o 5.32.0
1.55*0 1.e9.0
5.25-l e.93-1
2.39.0 2.31*0
7.87-l 7&O-1
1.33.1 1.29*1
3.52.0 3.eo*o
1.17.0 1.10.0
1.67*1 1.62*1
@.7%*0 Q.63+0
1.62+0 1.53*0
1.02.1 1.77+1
4.51.0 l .36*0
l.aa+o 1.39.0
Z.k7*1 2.40*1
6.62*0 6Al*O
2.21*0 2.09.0
a.ss+o a.71*0
3.06+0 2.90*0
1.37.0 1.29+0
2.79.1 2.71.1
7.01.0 6.7B.O
2.31*0 2.la.o
3.76*1 3.65.1
1.02.1 3.96*0
3.es*o 3.26*0
1.39*1 1.35*1
k.77+0 @.52*0
5.35.0 5.76+0
1.911.0 1.83.0
3.86.1 3.76+1
s.a5*0 3.5e.o
3.26*0 3.oa*o
1.4*+1 1.39+1
e.86.0 e.Sl*O
1.91.1 1.89.1
6.72+0 6.38*0
3.31.1 3.22.1
7.87.0 7.62.0
2.57.0 2.~2.0
1.30.1 1.26.1
Q-32.0 l .09.0
1.90.1 i.aq+l
6.S4*0 6.11*0
2.56*1 2.Q5.1
a.so+o a.45+0
4.15.1 @.01.1
S.SG+O 9.67.0
3.26.0 3.08.0
l-6*+1 1.59.1
s.ea*o 5.20*0
2.39.1 2.32.1
a.17+0 7.76*0
3.22.1 3.12.1
1.12*1 1.07*1
900 14.97+21
1.22.1 x.18.1
I.oz*o 3.80.0
2.02+1 1.95.1
6.75*0 [email protected]
2.33*1 z.ae.1
1.00.1 3.56.0
3.93*1 3.81.x
x.38+1 1.32*1
450 l5.44.2l
1.47+1 1.42.1
4.83+0 4.58.0
2.42*1 2.34*1
5.12+0 7.71.0
3.50*1 3.QO.l
1.20.1 1.15.1
4.68+1 e.5*+1
1.66.1 1.50*1
500 l5.91+21
1.73.1 1.68.1
5.71.0 5.t1.0
2.81.1 2.76*1
3.59.0 3.11+0
*.11*1 3.99.1
1.*2*1 1.35*1
l-96*1 1.07*1
550 16.37.21
2.01.1 1.95+1
6.65+0 6.30.0
3.23.1 3.20*1
1.11*1 1.06.1
4.7a.1 1.61*1
1.65.1 1.57*1
2.2G.l 2.17.1
600 lc.G2+2,
Z-31+1 2.24+1
7.F,*+o 7.25rO
3.77.1 3.66.1
l.za+i 1.21.1
1.90*1 i.al*l
2.61+1 2.QWl
650 l7.27+21
2.62.1 2.59+1
8.69.0 a.25*0
*.27*1 4.12*1
l..S.l x.38.1
2.16.1 2.06+X
2.96+1 z.a3*i
700 17.71+21
2.35+1 2.86.1
3.80.0 9.31.0
4.79*1 Y.65+1
1.64.1 1.56.1
2.43+1 2.32.1
3.33+1 3.18.1
See page 480 for Explanation
FY.ltI
50.00
FYHM
FUHM
FY.lIl
of Tables
499
Atomic Dota and Nuclear Dota Tables, Vol. 15, No. 5, Mcq 1975
HUNGERFORD
and MAYES
Proton, F’ion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIDNS ANGLC
THROUGH AL
10.00
5.00
15.00
FY.lH
SD
1.06-Z 1.00-2
J.S6-3 3.15-3
1.59-l 1.52-1
3.50-2 3.33-2
1.90-l 1.35-l
3.12-2 2.96-Z
1.03-2
*.*9-1 l&.66-1
1.05-l 1.00-l
3.112-2
1. on+0
9.31-3
3.1@-2
9.66-l
2.62-1
ENERGV IP C-HI
SD
50 11.27*21
1.68-Z s.*a-2
100 l1.92rzl 150
FUHM
FYHU
FU.lM
SD
I. 15-2
3.26-l
l.OI-2
3.14-l
FUHU
2a.oc
FY.lM
SO
FUWI
FY.lR
7.13-2 6.81-Z
2.33-2 2.13-2
5.43-l 5.211-l
1.1a-1 1.13-l
3.95-2 3.55-2
2.15-l 2.06-l
6.99-2
1.65*0
6.q6-2
1.61+0
3.60-l 3.*6-1
1.08-i
4.02-1 3.86-l
1.30-1 1.20-l
3.11+0 Lc**D
6.7@-1 649-l
2.17-I 2.02-l
3.19-l
1.16-l
2.52-l
5.76-Z 5.98-2
X.89-2 1.71-2
9.08-l 9.76-l
1.95-l 1.87-l
6.3q-2 s*aq-2
1.97*0
t2.50*21 200 l3.05*2)
9.05-I 3.90-l
a.aq-2 8.93-2
2. BY-2 2.63-2
1.q1+0
3.01-l
2.92*0 2.92*0
2.01-1
2.69-l
9.77-2 9.03-2
6.21-1
1.36+0
6.00-l
1.87-l
l .Ga+o 4.73ei
1.0**0 1.00*0
250 13.58+21
5.69-l
1.23-l 1.17-l
q.oz-2 3.68-t
1.9a+Ll 1.91*0
*.22-1 4.05-l
1.36-l 1.26-l
9.11+0
a. 75-1
9.*3-1
2.82-l 2.63-l
6.85*0 6.66+0
1.47*0
3.99*0
300 14.09421
7.50-l 7.23-l
1.61-l
5.27-2 9.83-2
2.62*0 2.53*0
5.57-1 5.35-l
1.79-l 1.67-l
5.*3+0
1.15*0
1.54-l
5.27+0
1.11+0
350 19.60421
9.50-I 9.17-1
2.01-l 1.95-1
6.63-2 6.10-2
3.32*0
7.05- 1 6.78-l
2.27-l 2.11-l
5.69*0 6.69,0
,.rc+o
2.15+0
1.4140
4.70-1 q.ao-1
1.15*1
3.21*0
1.11+1
2.3610
7.91-l 7.43-l
NO0 15.10+21
1.16+0
2.50-l 2.39-l
8.11-2 7.48-2
q.oa*o 3.96+0
8.66-l 8.33-l
2.78-l
a.qG+o
1.*1+1
2.59-l
9.23+0
l.Go*o 1.73*0
5.78-1
1.12+0
5.42-l
1.37*1
3.03*0 2.9210
9.73-l 9.154
q50 ~5.59*2l
2.99-l 2.87-I
9.71-2 8.96-2
q.91+0
3.34-1 3.12-l
1.0141 9.89+0
6.94-l
1.69*1
3.6WO
4.76*0
1.oe+o 1.0040
2.16+0
1.xi+o
2.08+0
5.51-l
1.5441
3.52*0
1.15+0 l.lWO
500 tC.O8*21
1.6510 1.59*0
3.52-l 3.38-l
1.11-l
5.80+0
1.22*0
1.05-L
5.52+0
l.lG+O
3.93-1 3.68-l
1.16*1
2.55*0 t.lC+O
6.19-1 7.59-l
x.9941 1.9441
4.3mo 4.1540
1.30*0
55D 16.57*21
1.92+0 1.85+0
4.09-l 3.92-l
1.32-l
6.7440 5.54*0
1.42*0
*.57-1 4.27-l
1.39*1 1.35*1
2.9740
9.52-l 8.94-l
2.32’1 2.25*1
5.00*0 4.93*0
1.50*0
2.96+0
600 17.05121
2.20*0 2.13*0
4.68-l 4.50-1
1.5x-1
7.75*0 7.51+0
l-63*0 1.57*0
5.21-l
1.50*1 1.55*1
3.e1*0 3.29+0
1.09*0 1.02*0
2.55*1 2.50*X
5.71+0 5.55*0
1.oqro 1.7440
650 l7.53+2I
2.5040 2.@2+0
5.32-l 5.11-l
1.71-l
G.Gl+O 9.5**0
1.95*0 1.79*0
5.95-l 5.58-l
l.a2+1
3.87+0 3.7Q*o
1.2wo
3.01*1 2.93*l
5.53*0 6.32*0
2.09*0
1.59-l
700 18.01*21
2.82+0
5.98-1
1.93-l
9.93*0
5.71-l
2.05*1
5.75-l
1.79-l
9.6340
6.29-l
1.9941
q.3740 *.22*0
1.*0*0
2.73*0
2.09*0 2.02+0
3.39*1 3.30*1
7.36,0 7.13*0
2.300 2.23*0
SD
FYHR
5.48-l
1.40+0
lNGLE
1.22-l
l.@O-1
30.00
ENERBY IP C-M>
SD
50 11.27*21
1.10*0
2.43-l
1.0640
2.33-l
100
3.40*0 3.29*0
7.44-l
11.92*2)
150 #2.50*21
zoo lS.OS*Zl 260 13.59*21 300
lq.o9*2l 350
14.60+21 400
1.37*0
*.91-1
f.Gl*n
1.20+1
1.77*1
40.00 FM .lN
FUHR
SO
1.91-2 7.33-2
l.Go*o 1.7wo
7.16-l
2.40-l 2.24-l
FYHM
4.05-l
3.71-l 3.e7-1
1.15*0 1.31*0
50.00 FY .lM
3.37-l
1.q1*0
9.73-l 4.43-l
1.9440 1.07+0
5.05-1
5.24-l
i-38+0
1.51*0
1.91*0
50.00 FM.11
SD
FYWR
FY.lH
5.01-l 5.90-l
1.96-l 1.93-l
3.*5*0 3.35*0
8.29-l 7.99-l
2.72-l 2.55-l
7.911+0
1.1)4*0
7.75*0
1.70+0
5.02-l 5.55-1
1.05*1 1.02*1
2.55*0 2.45+0
8.36-l 1.87-l
4.7940 4.54*0
1.57*0
745*0 7.22*0
2.45*0
l.OWl
3.45*0 3.27*0
3.90-l
1.32-l 1.22-l
2.50*0 2.52*0
5.55*0
1.24*0
4.03-l
5.3840
1.20*0
3.77-l
5.39*0 6.20*0
1.39*0
4.50-l
2.33*0 2.25*0
7.57-l 7.11-l
3.49*0
1.13*0
1.97*1
4.22-l
1.01*1 1.01+1
1.49*1
1.3440
1.e5+1
3.36*0
1.05*0
1.91*1
9.9210 9.54+0
2.17*0 2.09*0
7.00-l 5.57-l
l.Cl+l l.S6*1
3.53*0 3.51*0
1.17*0
2.29*x
1.76*0
I.U2*1
1.10*0
2.23*1
5.41*0 5.23+0
1.55*0
2.94*1
1.39*x
9.84-L
q.9540
1.55*0 1.55*0
3.1941
9.26-l
2.25*1 t.lC*l
5.11+0
1.35*1
3.0510 2.95*0
3.11*1
7.51*0 7.37+0
2..1*0 2.36*0
4.lWl q.o7*1
1.1)3*1 1.70*1
q.OI*O 3.90*0
1.30*0 1.22*0
2.95+1 2.07*1
5.77*0 5.95*0
2.19*0 2.07*0
S.ll*l
1.0041 9.7**0
3.26*0 3.11*0
l-36*1 1.3Wl
4.57*0
4.05*1
2.31*1 2.25+1
5.12*0 4.9540
1.65+0 1.55*0
3.71*1 3.51*1
G.sG*o 0.31*0
2.76*0 2.53*0
1.27*1 1.23*1
4.17*0
1.75*1 t.s9*1
5.10*0
z.m*1
2.03*0
1.05*1 1.02*1
3.4240
5.lNO
3*2e*o
x.55*1 1.51*1
4. I?*0
2.lWl 2.om1
7.lWO 5.18+0
3.91*0
1.0141
l&MO 2.31*0
4.33*0
5.SO*0
15110+2I
Z-75*1
6.30*0 5.10*0
4so
3.3941 1 3.30*1
7.5a*o 7.3q+o
1.25*1 1.22*1
4.1240 3.90*0
1.97*1 1.02*1
5.18*0 5.96*0
2.57*1 2.4Nl
a.59*0
2.31*0
500 l6.09*21
3.90*1 3.m•l
9.94*0 G.C6*0
2.66*0 2.72*0
1.4941 1.44*1
4.97*0 4.51*0
2.21*1 2.1441
7.30*0 5.93*0
3.02*1 2.93+1
1.01*1
550 l6.57*21
4.5141 4.49rl
1.04*1 1.00+1
3.35*0 3.17*0
1.73*x l.CG*l
5.cs*o 5.37*0
2.56*1
2.49%
0.49*0 6.07*0
J.lO*l 3aoa
1.x7*1 1.1211
600 lI.D5*2)
1*19*1 1.15*1
3.96CO 3.55*0
1.99*1 1.93*1
c.s1*0 6.1940
2.9Wl 2. as*1
9*75*0 9.26*0
4.os*1 3.99*1
1.3s*1
650 17.53*21
1.35*1 1.31*1
q.3940 q-16*0
2.25*1 2.19*1
7.41+0 7.03*0
3.33*1 3.21*1
1.11*1 1.05*1
4.54*1 bll*l
l.SWl 1.45+1
700 l6.01+21
l.Ct*l
4.95+0 4.6940
2.51*1
o.s5*0
2.47*1
7.93*0
I5.59*2
See page 480 for Explanation
Atomic Oatmand Nwl+ar DotaTd.,,Vd.
1*91*0 2.6440
l.qG*l
of Tables
15,No. 5,May
,975
500
1.25’1 1.19*1
I).15*0 9.CWO
1.29*1
1.73*3
1.55*1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS
5.00
ANGLE
FY .lM
SO
FU.lH
SO
50 l1.27+21
3.77-2 3.60-2
8.61-3 8.12-3
2.90-3 2.55-3
1.27-l 1.22-l
2.82-2 2.68-Z
9.32-3 0.41-3
2.61-l z.s2-1
5.73-2 5.aS-2
1.87-2 1.71-2
9.36-l *.21-1
9.51-2 9.09-Z
3.10-2 2.m-2
100 11.93*21
1.12-l 1.07-l
2.51-2 2.38-2
8.35-3 7.98-3
3.86-l 3.71-1
8.40-2 8.02-Z
2.74-2 2.51-2
7.98-l 7.70-1
1.72-1 1.6(1-l
5.59-2 5.15-2
1.33*0 1.29*0
2.87-i 2.75-l
9.30-2 8.61-Z
15u 12.51+2)
2.09-l 2.00-l
9.61-2 5.38-2
1.52-2 1.37-2
7.22-l 6.96-l
1.55-1 1.19-l
5.07-2 I.65-2
1.19ro 1. w+o
3.20-l 3.07-l
1.03-l 9-60-P
2.50+0 2.u2*0
5.36-l 5.15-l
1.73-l 1.61-l
200 13.06+2)
3.22-l 3.10-l
7.06-2 6.72-2
2.31-2 2.10-Z
1.12+0 1.oa+o
2.bO-1 2.30-l
7.79-2 7.18-2
2.32+0 2.25*0
e.ss-1 1.76-l
1.60-l 1.*a-1
3.89*0 3.77+0
8.31-l
8.00-i
2.67-l 2.49-f
25u 13.59tz1
9.52-l Y.35-1
9.82-2 9.37-2
3.21-2 2.93-2
1.57+0 L.Sz+o
3.36-l 3.22-l
1.08-l 1.00-l
3.27+0 3.16+0
6.95-l 6.68-l
2.22-1 2.08-1
s.qe+o 5.31+0
1.16,0 1.12*0
3.75-l 3.50-l
300 14.11*21
5.96-1 5.74-l
1.28-l 1.23-1
9.20-2 3.85-2
2.07+0 2.01*0
o.q2-1 4.25-l
l.Q2-l 1.32-l
4.32+0 *. 19*0
9.17-1 8.83-i
2.95-l 2.75-l
7.24*0 7.03+0
1.59-o 1.4BIO
q.91-1 *.63-l
350 lb.63+2l
7.53-l 7.26-l
1.62-1 1.55-l
5.29-2 1.85-2
2.63+0 2.55+0
5.59-l 5.37-l
1.80-l 1.67-l
5.9a*o 5.31*0
1.16*0 1.11+0
3.73-l 3.98-l
S.lWO a.91+0
1.9510 1.m*o
6.27-l s.ua-1
400 15.13*21
9.25-l 8.92-1
1.98-l 1.90-l
6.46-2 5.99-2
3.2910 3.13*0
6.66-l 6.60-l
2.21-l 2.05-1
6.79+0 6.59+0
1.&?*0 1.37*0
1.58-I *.28-l
1.12+1 1.091
2.4010 2.32+0
7.70-l 7.23-l
es0 l5.63+2)
1.11+0 1.07+0
2.38-l 2.27-l
7.72-2 7.11-2
3.us*o 3.77*0
B.ZQ-1 7.92-l
2.65-l 2.47-l
u.10*0 7.86+0
1.7190 1.65+0
5.50-l 5.15-l
1.35+1 1.31+1
z&.8*0 2.78*0
9.25-l 8.70-l
500 16.13*21
1.30+0 1.26+0
2.80-I 2.68-l
9 .o 7-2 0.37-Z
1.59+0 *.*5+0
9.71-l 9.3+1
3.12-l 2.91-l
3.56-O 9.2mo
2.0210 1.95+0
6.N&1 6.07-I
1.60+1 1.55+1
3.eo*o 3.29+0
1.09~0 1.02+0
550 16.63*21
1.5210 1.,6+0
3.24-l 3.11-l
1.05-l 9.70-Z
5.3wo 5.1a+o
1.12+0 l.OWO
3.62-l 3.38-l
1.11*1 1.07*1
2.35+0 2.26+0
7.53-l 7.06-1
1.85+1 1.00*1
3.96+0 3.1)3*0
1.26+0 1.19+0
600 1.74+0 t 7.1212 I 1.68+0
3.71-l 3.56-l
1.20-l 1.11-l
b-14+0 5.91+0
1.29*0 l.ZWO
l .15-1 3.80-1
l-27*1 l.ZWl
2.69+0 z.QI+o
E-6*-1 8.12-l
2.13+1 2.07+1
4.55*0 *.a0+0
l&5*0 1.37*0
650 I7.61*21
1.sa+o 1.91+0
4.21-l *.o*-1
1.36-l 1.26-1
6.98+0 6.77+0
1.e7*0 1.,1*0
6.71-l @.*1-l
1.45*1 1.*1+1
3.06+0 2.96+0
9.82-l 9.23-l
2.42*1 2.35+1
5.17*0 5.00*0
1.65*0 1.56*0
700 16.Dsctl
2.23+0 2.x*0
4.74-I l .55-1
1.53-L 1.*1-t
7.07+0 7.63*0
1.65*0 1.59*0
5.30-E 4.97-l
l.bl*l 1.59+1
3.w+o 3.3u+o
1.10*0 1.0*+0
2.72+1 2.65+1
S.BDO S.KhO
1.86+0 1.76+0
FY.lI(
SO
FYHW
FY.lM
SO
-0.00
30.00
FUllI!
SO
50.00
FYHN
FY.lM
60.00
SO
50 tb27*2l
8.93-1 8.62-l
1.95-t 1.87-l
6.3*-2 5.86-2
1.e7+0 1 .qz+o
3.25-l 3.12-l
1.05-1 9.82-Z
Z.lWO 2.07+0
5.83-l @.65-l
1.57-1 l&6-1
t.aa+o 2.79+0
6.67-l 6.a3-1
2.17-t 2.03-l
100 11.93r2)
2.73+0 2.65+0
5.93-l 5.70-l
1.91-I 1.78-l
4.51+0 q.37*0
9.93-1 9.57-l
3.21-l 3.00-l
6.57+0 6.38rO
1.17+0 1.*2+0
8.79-l U.QS-1
8.0*+0 a.59*0
2.04*0 1.97*0
6.66-l 6.26-l
350 42.51*21
s.14+0 e.ss+o
1.11*0 1.07*0
3.58-l 3.35-l
e.47+0 8.22+0
1.8WO 1.79+0
6.01-l s.m-1
1.23+1 1 .I 9+1
2.78W 2.6810
9.00-l 6.57-l
1.65+1 1.60+1
3.m*o 3.71*0
1.25*0 1.17*0
200 t3.06+21
7.99+0 7.76+0
1.72*0 1*66+0
5.55-l 5.20-I
1.31+1 1.27+1
2.8WO 2.79+0
s.u-1 8.79-l
1.90+1 1.1)5+1
l .32*0 4.11*0
1.39+0 1.31*0
2.5Q+l Z&7*1
5.97*0 5.71*0
l.YwO
250 13.59+2)
1.12+1 l.O%rl
2.e2.0 2.34+0
7.80-l 7.33-I
1.9**1 1.7Wl
e.o7*0 3.9wo
1.31+0 1.2340
Z-65+1 2.ser1
6.07+0 s.m+o
1.97*0 l&6*0
3.53*1 3.w+1
s.eo+o 8.1WO
2.76+0 t.s9*0
300 t4.ll*tl
1.w+1 1.41+1
3.20*0 3.10*0
1.03*0 9.70-I
z.e2*1 2.35*1
5.39+0 5.2lW
1.73*0 1.6*+0
3.9Wl 3.39*1
8.03*0 7.7mo
2.60+0 Z&6+0
*.61+1 l .*9*1
1.11+1 1.07*1
3.62*0 3.*3*0
350 tY.63.2)
1.a7r1 l.EZll
e.07*0 3.93*0
1.30+0 1.23*0
3.05*1 2.97*1
6.83+0 6.61+0
2.20+0 z.oa+o
l .37+1 @.26+1
1.01.1 s.a7*0
3.30*0 3.13+0
l.@OTl l-36+1
l .60*0 4.36+0
900 ,5.13*2,
2.30+1 2.23+1
5.00+0 4.84*0
1.6010 1.51*0
3.73*1 3.63*1
a.Io+o 8.1WO
2.71*0 2.56+0
1.25*1 1.21*1
a.o7+0 3.a5+0
1.7201 1.67*1
5.57+0 s.3wo
q50 15.63+21
2.75*1 2.68+1
s.01+0 5.62*0
1.93+0 1.n2+0
q.*s+1 *.3w1
1.01+1 9.7810
3.26*0 3.oa+o
1.5ml 1.15+1
a. as*0 4.64+0
2.07+1 2.01*1
6.82*0 6.@7*0
500 l6.13*21
3.2111 3.15+1
7.10*0 6.87+0
z.za+o 2.15+0
l.lWl 1.15+1
3.s5*0 3.65+0
1.77*1 X.72*1
s-71+0 SAW0
2.**+1 2.3611
8.05+0 2.65~0
550 16.63+2)
3.7511 3.65+1
%.26*0 7.99*0
2.65+0 2.51+0
1.3Wl 1.3*+1
e.W+O 1.25*0
2.05~1 1.991
6.73+0 6.39*0
2.83+1 2.7511
9.36+0 a.so*o
600 17.1242)
4.30+1 b.lG.1
9.18+0 9.19+0
3.05+0 2.8WO
1.59+1 1.5**1
5.15+0 e.sa+o
2.3601 2.29+1
7.73*0 7.3wo
3.2@*1 3.15*1
1.07*1 1.02*1
650 t7.61.+21
*.u7+1 l .76*1
1.0701 1.04+1
3.97+0 3.28+0
l-80,1 1.75*1
5.86*0 5.56+0
2.68+1 2.60+1
0.79*0 8.36*0
3.6b+l 3.57*1
1.22*1 l-16+1
1.21+1 1.17+1
3.91*0 3.70*0
2.03+1 1.97*1
6.61+0 6.27+0
3.01+1 2.93+1
9.92+0 s.q3+0
a.13*1 e.o2*1
1.37+1 1.31*1
See page 480 for Explanation
SO
FY.lH
ENEREY tP c-n,
700 16..09*21
FY.IW
FYHH
20.00
SD
FYtlM
FYHH
15.00
ENERGY ,P C-H,
ANGLE
FYHH
THROUGH AR
10.00
of Tables
501
FMJIM
FY.l(I
1.a3*0
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm*) vs. A .ngular Spread (in mrad) PIONS ANGLE
5.00
ENERGY IF c-n,
SO
50 ll.z7+zl
J-11-2 2.96-2
100 ll.vJ*z~
1HROUGH C1
10.00 FY.lM
SO
7.12-3 6.71-3
Z.PD-3 2.11-3
1.05-l 1.00-l
9.26-2 8.87-Z
2.07-2 1.96-2
6.89-3 6.16-3
150 l2.51*21
1.71-l 1.64-l
3.79-2 3.60-2
200 l3.06+21
2.Q5-1 2.54-l
250 13.59+21
2.33-2 2.21-2
7.70-3 6.94-3
2.15-1 2.07-l
1.72-2 4.50-2
l-54-2 l-41-2
3.59-l 3.@6-1
7.83-z 7.48-2
2.55-2 2.34-2
3.17-l 3.05-I
6.91-2 6.59-2
2.26-2 2.06-2
6.55-l 6.32-l
1.41-1 1.35-1
P-60-2 9.23-2
1.09+0 1.06+0
2.36-l 2.26-l
7.64-t 7.07-2
1.25-2 1.13-2
5.93-l 5.71-l
1.28-l 1.22-I
W-17-2 3.82-2
1.22*0 1.18+0
2.63-l 2.52-l
8.52-2 7.88-2
2.05+0 1.99+0
*.10-1 e-23-1
1.*2-1 1.32-l
5.81-2 5.53-2
1.90-Z 1.73-2
9.19-1 8.87-l
1.97-1 1.88-l
6.40-2 5.90-z
1.90+0 1.84+0
4.07-l 3.90-l
1.31-t 1.21-1
3.20+0 3.1010
6.82-l 6.56-l
2.19-l 2.04-l
3.71-1 3.57-l
8.08-2 7.7022
2.61-2 2.91-2
1.29+0 1.24*0
2.75-l 2.64-l
8.93-Z 8.25-Z
2.68+0 2.59*0
5.70-1 5.@8-1
1.83-t 1.71-l
*.50+0 4.36+0
9.57-1 9.22-t
3-08-l 2.87-l
300 1*.12*21
w-as-I 9.70-l
1.05-l 1.01-l
3.@6-2 3.16-2
1.70+0 1.66*0
3.63-l 3.@8-1
1.17-1 1.08-l
3.54+0 3.113+0
7.52-l 7.2@-1
2.42-l 2.25-l
5.95+0 5.77+0
l-26+0 1.21*0
1.06-l 3.80-l
350 l9.63*21
6.18-l 5.95-l
1.53-1 1.27-l
1.35-2 3.90-2
2.16+0 2.09+0
4.59-l P-91-1
1-a-1 1.37-l
*.@v+o b-36+0
9.52-l 9.17-l
3.06-l 2.05-1
7.54+0 7.32+0
l-60*0 1.54+0
5.14-l 4.82-l
100 15.13+21
7.59-I 7.32-l
1.63-I 1.56-l
5.31-2 Q-88-2
2.65+0 2.57+0
5.63-l 5.41-f
1.91-l 1.68-l
5.53*0 5.36*0
1.17+0 1.12*0
3.75-l 3.51-1
s-28*0 s.oo+o
1.97+0 1.90+0
6.32-l 5.93-l
I50 15.63+21
3.11-1 8.79-l
1.95-I 1.87-l
6.35-2 5.84-2
3.19*0 3.09+Ll
6.75-l 6.50-l
2.17-1 2.02-l
6.65+0 6.*5+0
1.*0+0 1.35+0
e-51-1 1).22-l
1.11*1 l.OBll
2.36+0 2*20+0
7.58-l 7.12-l
500 16.13*21
1.07+0 1.03+0
2.29-L 2.20-l
7.&5-2 6.87-2
3.77*0 3.6510
7.96-l 7.66-l
2.56-l 2.39-l
7.85,0 7.61*0
1.65+0 1.59+0
5.31-l e.se-1
1.31*1 1.27+1
2.79+0 2.69*0
8.95-l 8&1-l
550 16.63+21
l-21+0 I.ZO+O
2.66-l 2.55-l
8.63-2 7.96-2
*.SG+O 2.2@+0
9.25-l 8.90-I
2.97-1 12.77-l
V-12*0 8.85+0
1.92+0 1.a5+0
6.17-l 5.79-l
1.52*1 1.1)8+1
3.2P+O 3.13+0
1.oeeo 9.79-l
600 i7.12*21
l-83+0 1.38+0
3.05-l 2.92-l
9.87-2 9.12-t
5.03+0 *.88*0
l-06*0 1.02+0
3.@0-1 3.18-l
l.OWl 1.01+1
2.21+0 2.x3+0
7.08-1 6.65-1
1.7511 1.70+1
3.73+0 3.6a+a
1.19+0 1.z2*0
650 f7.61*21
l-62+0 1.57+0
3.46-l 3.32-l
1.11-l 1.03-l
5.72+0 5.55+0
l-20*0 l.lb*O
3.86-l 3.61-l
l-19+1 1.15+1
2.51*0 2.*2+0
8.05-l 7.56-l
1.99+1 1.93*1
l .211+0 e.1010
1.35ro 1.27*0
700 l8.09+21
1.834 1.77+0
3.89-l 3.73-l
1.25-l 1.16-l
6.45+0 6.25+0
l-35+0 1.30+0
4.35-l q-07-1
1.3Wl 1.30+1
2.83+0 2.73+0
9.06-1 8.52-l
2.24+1 2.17+1
l .7a+o -.62+0
1.53+0 l.qWO
SD
FYNH
SD
FNNH
FY.lIl
SO
FYWI
30.00 SD
*o-o0
FYNM
FY .l#
FUHM
20.00
SO
ANGLE
FUHM
15.00 FU.lU
ENERGY IP c-w7
FYHU
FY.lU
SO
50.00 FY.lH
FUHU
FY.IM
60.00 FU.lN
50 I1.27+21
7.36-l 7.10-l
1.60-I 1.54-l
5.21-2 4.82-2
1.21+0 1.17*0
2.67-l 2.57-l
8.69-2 8.07-2
1.77*0 1.71*0
3.98-l 3.83-l
1.29-l 1.20-l
2.39*0 2.32+0
5.@9-1 5.29-l
1.79-l 1.67-1
100 ll.93*21
2.25+0 2.18+0
r).a7-1 6.66-l
1.57-l 1.46-l
3.72+0 3.61+0
8.15-l 7-B&1
2.63-l 2.16-l
5.4e+0 5.2e+o
1.21*0 t.l7+0
3.93-1 3.69-l
7.35+0 7.13co
l-68+0 l.bZ*O
5.-6-l 5.13-t
150 t2.sL*Pb
4.23+0 4.1010
9.12-l 0.79-1
2.9w-1 2.71-l
6.99*0 6.78+0
1.53*0 1.47+0
a-93-1 a.55-1
1.02*1 9.91+0
2.2810 2.29*0
7.38-l 6.91-l
1.37+1 1.33*1
J.lWO
1.02*0 9.67-l
200 13.06*21
6.58+0 6.38+0
1.*1+0 l-36+0
1.55-l e-27-1
1.08*1 1.05*1
2.37+0 2.29*0
7.66-l 7.20-l
1.57+1 1.53+1
3.55+0 3.q3*0
l.lWO
2.11+1 2.05+1
b-91*0 1.75+0
1.59+0
l.OWO
250 13.59*27
9.21+0 8.97+0
1.99*0 1.92+0
6.*0-l 6.00-l
1.52+1 1.*7*1
3.3**0 3.23*0
1.07+0
l.ol*a
2.20+1 2.1Wl
*.99+0 l .03*0
1.6140 l-52*0
2.9Wl 2.86+1
1.91*0 6.69+0
2.2wo 2.12+0
300 8*.12*21
1.22r1 l-18+1
2.63+0 2.54*0
8.45-l 7.95-1
2.00.1 1.9Wl
l .42*0 4.27+0
1 .et*o 1.3,*0
2.19*1 2.01+1
s.so*o s-39+0
2.X3+0 2.02+0
3.1)5*1 3.75*1
350 14.63+21
1.51*1 l-50+1
s-33+0 3.22*0
1.07+0 1.00+0
2.52*1 2.e5*1
5.s1+0 s-*3+0
1.eo+o 1.70'0
3.63+1 3.9+1
8.37+0
&LO*0
2.71*0 2.56+0
*.lii?*1 q-70*1
15.13+21
1.89+1 l-81+1
*.10*0 5.97va
3.3x+0 1.2e*o
3.09*1 3.00+1
5.90+0 6.6WO
2.22*0 2.10'0
Q&3+1 4.32+1
1.02*1 9.97+0
e50 15.63+2)
2.27*1 2.21*1
4.93+0 1.77+0
1.5mo 1.19*0
3.69+3 3.59+1
a.29*0 o-03+0
t-67+0 P-53+0
500 t6.13*27
2.67+1 2.60*1
5.02+&i 5.63*0
1.07*0 l.TE+O
e-33+1 I.22+1
9.7wo 9.*mo
3.15*0 2.99+0
550 16.63*2)
3.10+1 3.01*1
6.77*0 6.5510
2.1700 2.05+0
1.13*1
1.10*1
3.67+0 3.49*0
600 17.12r21
3.55+1 3.*5+1
7.7e.+a 7.53*0
2.5010 2.36*0
1.3001 l-26+1
650 l7.61+21
I).02+1 3.91*1
8.8WO a-57*0
P.BQ*o t-69*0
700 18.09~21
4.5111 *.*0+1
9.96*0 9.66+0
3.20*0 3.03*0
400
See page 480 for Explanation
3.05+0
i.sa+o
2.97*0 2.aleo 1.15*1 1.12*1
3.77*0 3.57*0
3.33+0 3.16*0
1.a2*1 1.37+1
q-65*0 q.u*o
l-23+1
4.01+0
1.19+1
3.ao+o
1.70*1 l-65+1
s.ss*o 5.30*0
1.45+1 i.e1*1
k-TWO l .*s+o
2.00*1 1.95*1
6.60*0 f.27*0
l-69+1
l-66*1
5.61+0 5.23*0
2.33*1 2.2Wl
7.68*0 7.30*0
4.22+0 *. 00'0
1.9Wl l-W+1
6.3WO 6.0200
2.67+1 Z.S9+1
a.es*o .9.39*0
l.bMl l.Q3+1
@.80*0 9.55*0
2.20*1 Z-1*+1
7.21*0 6.15*0
3.03*1 2.91*1
z.v0*1 s.ss+o
l-67+1 l-62*1
s.el*o 5.1**0
2.4a+1
LI.13+0
z.e1+1
7.73+0
3.*1+1 3.31*1
1.13+1 1.07*1
of Tables
502
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PI :ONS T”R0 IUQH FE ANGLE
3.00
10.00
ENERGY IP c-n,
FY.lM
SD
50 t1..?7*2)
2.67-Z 2.54-Z
6.18-3 5.81-3
2.10-3 1.82-3
8.93-2 8.61-2
100 l1.33+2)
7.90-Z 7.56-2
1.78-2 1.66-2
5.94-3 5.28-3
13lJ l2.52+21
1.116-l 1.~0-1
3.24-2 3.08-2
zoo 13.07+21
2.24-l 2.16-l
250 t3.61+2)
FYHM
50
20.011
FY.ltI
SO
2.00-Z 1.30-2
6.66-3 5.97-3
1.84-l 1.77-l
4.03-Z 3.86-2
1.33-2 1.20-2
3.07-l 2.93-1
6.71-2 6.40-2
2.19-2 2.00-2
2.65-1 2.53-l
3.90-z 5.62-2
1.93-2 1.76-2
5.37-l 3.37-l
1.20-l 1.13-1
3.32-2 3.60-2
9.32-l 9.00-1
z.oc-1 1.92-l
6.31-2 6.01-2
1.07-2 3.66-3
5.0?-1 4.84-l
1.08-l 1.04-l
3.55-2 3.23-2
1.oe+o 1.00+0
2.23-l 2.14-l
7.23-2 6.69-2
1.74+n 1.68+0
3.73-l 3.38-1
1.20-l 1.12-1
4.35-2 4.71-2
1.63-2 1.47-2
7.10-l 7.30-l
1.67-l 1.60-l
5.44-2 3.00-2
1.61’0 1.36+0
3.#3-1 3.31-1
1.11-1 1.03-1
2.71*0 2.62+0
3.77-l 5.35-1
1.86-1 1.73-1
3.14-l 3.02-l
6.67-2 h.SS-2
2.23-2 2.05-Z
1.09+0 1.03+0
2.33-i 2.24-l
7.58-2 6.99-2
2.27+0 2.19+0
4.83-l 4.64-l
1.53-1 1.44-1
3.81+0 3.69+0
8.10-1 7.79-1
2.60-1 2.43-l
300 14.13+21
4.13-1 3.98-l
9.00-z 8.59-2
2.93-2 2.68-2
1.44+0 1.39+0
3.07-l 2.95-1
9.36-2 9.20-2
3.00*0 2.9010
6.36-I 6.12-1
2.05-l 1.90-1
6.C4.0 4.8a+o
1.06+0 1.03+0
3.43-l 3.21-1
350 I4.64+2)
3.23-l 3.03-l
1.13-l 1.08-l
3.70-2 3.38-Z
1.82*0 1.76+0
3.88-l 3.73-l
1.25-l 1.16-l
3.8010 3.68+0
8.03-l 1.73-1
2.59-l 2.41-1
6.39*0 6.190
1.33+0 1.30+0
4.35-l 4.06-l
400 16.15*21
6.91-l 6.16-l
1.38-l 1.32-1
4.51-2 4.13-2
2.24+0 2.17+0
*.76-l 4.57-l
1.33-1 1.42-1
4.67*0 4.53+0
9.83-1 3.52-1
3.17-1 2.96-l
7.86+0 7.62*0
l-66,0 l-60*0
5.33-1 3.00-l
430 l3.56+21
7.69-1 7.42-l
1.66-1 1.38-1
5.33-2 4.96-2
2.69*0 2.61+0
5.71-l 3.19-l
1.84-l 1.71-1
3.62+0 3.43+0
l.lWO 1.14*0
3.81-1 3.36-l
9.44+0 9.16+0
1.99*0 1.92*0
6.40-l 6.01-l
500 16.16+21
9.07-1 8.74-l
1.94-1 1.86-1
6.33-2 5.81-2
3.18+0 3.0810
6.72-l 6.47-l
2.16-1 2.01-l
6.63+0 6.43+0
1.39+0 1.34+0
4.49-l 4.20-l
1.11+1 1.oa+1
2.33*0 2.27*0
7.53-l 7.09-l
350 16.66+21
1.05+0 l.Ol+O
2.23-l 2.16-1
7.32-2 6.74-2
3.63+0 3.3n+o
7.81-1 7.31-1
2.31-1 2.34-l
7.71*0 7.40*0
1.62+0 1.36*0
3.21-l 4.88-l
1.29+1 1.23+1
2.74*0 2.64*0
0.77-l 8.24-l
600 17.16+2~
1.20+0 l-16+0
2.38-l 2.47-l
8.37-2 7.72-2
..24+0 4.11+0
8.36-l 8.62-l
2.88-l 2.68-l
8.86~0 a. 39*0
1.86+0 l.BOIO
3.98-1 3.60-l
1.@8+1 1.44*1
3.x4+0 3.04*0
t.oo*o 9.47-l
650 l7.63+21
1.37+0 l-32+0
2.92-1 2.80-l
9.48-2 8.75-2
4.8210 4.68+0
1.01*0 9.79-l
3.26-l 3.03-l
1.00*1 9.77*0
2.1210 2.04*0
6.79-l 6.37-l
1.68+1 1.64*1
3.37*0 3.43+0
1.1400 1.07*0
700 I8.14+2)
1.54+0 1.43ra
3.29-l 3.13-l
1.06-l 9.84-2
3.44+0 3.27+0
1.14*0 1.10+0
3.67-l 3.43-l
1.13+1 1.10+1
2.38*0 2.30+0
7.64-l 7.18-l
1.30+1 1.l)4*1
4.03+0 3.89*0
1.2n+o 1.21+0
-_____--
___---_.
_--____ANGLE ENEREY IP c-lo
--------
--------
30 .DO SO
FYHM
15.00
---___--
__- ----_
- -------.
40.00
FYHtl
FN.l)I
so
FUHM
FYHM
FY.11
SO
_-------.
so .oo FY. 111
so
FYHN
FYHM
_------_
FY .lll
._-_-_
6O.DC FY.lN
so
FYWN
FY11ll
SO t1.2742)
6.30-l 6.08-l
1.37-l 1.31-1
1.46-2 4.11-2
1.04*0 1.00+0
2.26-l 2.19-1
7.43-2 6.88-2
1.53*0 1.40+0
3.40-l 3.27-l
1.10-i 1.02-l
2.08w2 2.02+0
4.70-1 4.32-l
1.52-1 1.42-1
100 #1.93+27
1.92~0 1.86*0
e-la-1 3.98-1
1.33-1 1.24-l
3.19+0 3.09*0
6.93-l 6.67-l
2.23-l 2.08-l
4.69*0 4.3310
1.03+0 9.96-1
3.3*-1 3.12-l
6.38+0 6.19*0
1.43*0 1.3wo
4.64-l e.33-1
130 l2.32*27
3.60+0 3.49+0
7.73-l 7.44-l
2.43-1 2.32-l
3.98,0 3.81+0
1.29*0 1.23+0
4.18-l 3.31-1
5.79+0 e.54+0
1.93*0 1.57*0
6.25-l S&7-1
1.19+1 1.16+X
2.65*0 2.53+0
t.1a-1
200 13.07+27
3.6010 3.QSrO
1.19+0 1.13+0
3.85-l 3.60-l
9.23+0 9.02+0
2.01*0 1.94*0
6.48-l 6.08-l
1.36+1 1.32+1
3.00*0 2.30+0
9.79-l 9.13-l
1.8Wl 1.73+1
4.17*0 4.03+0
1.35*0 1.27*0
230 13.61+2)
7.s7ro 7.64+0
1.68+0 1.62+0
5.41-l 3.07-l
1.30+1 1.26+1
2.83+0 2.73*0
9.10-l 6.56-l
1.90*1 a.a5+1
4.23+0
~*os+o
1.36*0 1.28+0
2.57*1 2.30+1
5.85*0 3.68+0
1.30*0 1.7940
300 14.13*21
l.ow l.Ol+l
2.22*0 2.14*0
7.14-1 6.70-l
1.71+1 1.67+1
3.74+0 3.61rO
1.20+0 1.13+0
2.30+1 2.44+1
5.59+0 3.41eo
1. ao+o 1.70+0
3.37+1 3.28+1
7.73+0 7.31*0
2.51*0 2.37+0
330 (4.64*21
1.31*1 1.27+1
2.82,0 2.72+0
9.05-1 8.31-1
2.17+1 2.11*1
4.7**0 4.33*0
l.st*o 1.93*0
3.16+1 3.07+1
7.09+0 6.86+0
2.25+0 2.16+0
4.2401 l .13+1
9.83+0 9.52*0
3.10*0 3.01*0
405 l3.13+21
1.61rl x.37+1
3.46*0 3.35+0
1.11+0 1.04*0
2.66*1 2.59+1
s.a3*0 5.63*0
1.8740 1.77+0
3.86*1 3.76+1
8.72+0 11.43+0
2.81*0 2.66+0
1.20+1 1.17*1
3.92+0 3.71+0
430 l5.66+2)
1.94*1 1.88rl
@.16*0 *.03*0
1.33+0 1.23*0
3.18,1 3.10+1
7.01'0 6.79+0
2.25+0 2.13+0
4.61+1 4.49+1
1.04+1 1.01+1
3.3a+o 3.2D+O
1.43*1 1.40+1
4.72*0 4.47*0
300 16.16+2)
2.2811 2.22+1
e.91+0 4.75.0
1.37+0 1.40+0
3.74+1 3.69,1
8.27*0 8.01*0
2.66+0 2.51+0
1.23*1 1.1911
4.00+0 3.79*0
1.71+1 1.63rl
3.57*0 3.29*0
530 16.66+21
2.6641 2.58*1
3.72+0 3.33*0
1.L)3*0 1.73+0
4.33+1 4.22*1
3.62.0 9.32*0
3.09+0 2.93+0
1.43+1 1.39+1
4.63*0 4.41+0
1.98Tl 1.92*1
6.48+0 6.16*0
600 17.X6+2)
3.04*1 2.95rl
6.57+0 6.36+0
2.1010 1.39+0
4.93*1 4.02+1
1.10*1 1.07r1
3.56.0 3.37+0
l-64*1 1.6001
3.3e*o 3.07*0
2.27rl 2.21+1
7.45+0 7*05*0
635 17.63+2:
3.4421 3.3511
7.57+0 7.23+0
2.33*0 2.26+0
1.2Wl 1.21*1
4.04*0 3.8300
l-87*1 1.01*1
6.08+0 3.77*0
2.55*1 2.51*1
a.47+0 8.OVO
705 tB.ln+zl
3.a7+1 3.77*1
a.41+0 8.15.0
2.63+0 2.33IO
1.41*1 1.37*1
4.36+0 4.32+0
2.11+1 2.Ll4+1
6.83*0 6.31+0
2.31*1 2.5211
9.55*0 s.oI*o
See page 480 for Explanation
8.69-l
of Tables
503
Atomic Dab and Nvclcor Data Tables, Vol. 15, No. 5, Mq
1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PI ONS YHROIUGH ZN ANGLE
5.00
10 .oo
15.00
20.0t FL11
so
3.65-2 3.47-Z
1.20-Z 1.09-2
2.76-l 2.65-l
6.04-Z 5.76-Z
1.98-2 1.80-z
Y. 38-1 s.ao-1
1.DB-1 1.03-l
3.52-2 3.23-2
8.35-I a.cs-1
r.ao-i 1.72-i
5.84-z 5.38-2
3.15-2 2.31-2
9.31-1 8.38-i
2.00-l 1.91-1
6.50-Z 5.98-2
1.56+0 1.51*0
3.34-l 3.20-l
1.08-l 1.00-l
1.50-l 1.43-l
4. an-2 4.48-z
1.*4+0 1.39+0
3.08-l 2.36-1
9.98-2 9.23-2
2.42+0 2.34*0
5.16-l 11.96-l
1.66-l 1.54-1
9.75-l 3.*1-1
2.03-1 2.00-l
6.73-2 6.25-2
2.02+0 l-96+0
4.31-1 Q.l@-1
1.39-l 1.29-1
3.401.0 3.23+0
7.23-l 6.96-1
2.33-l 2.17-l
2.64-2 2.40-z
1.2810 1.24*0
2.75-l 2.63-l
8.91-2 a.22-2
2.6710 2.59*0
5.68-1 5.46-l
1.83-l 1.70-l
~.so+cl 4.36+0
9.54-1 9.19-1
3.06-l 2.96-l
1.01-l 9.68-2
3.32-2 3.03-Z
1.62+0 1.57+0
3.*7-1 3.33-l
1.12-I 1.03-l
3.33+0 3.2810
1.13-1 6.91-1
2.31-l 2.x5-1
5.70+0 5.53*0
1.2o*n X.16+0
3.86-l 3.62-l
5.73-l 5.52-l
1.24-l 1.18-l
4.05-Z 3.70-Z
z.oo*o 1.93*0
4.25-l Q.O8-1
1.37-l 1.27-l
a.1740 4.04+0
8.02-l B.@S-1
2.63-l 2.69-l
7.0t+c 6.90+0
1.5a+o 1.43*0
9.76-l 4.*5-1
450 15.67+21
6.87-l 6.62-l
1.48-1 1.41-l
4.a3-2 4.42-2
2.10+0 2.32+0
5.10-1 W.YO-1
1.64-l 1.52-1
5.01+0 4.06+0
1.05*0 1.02+0
3.40-l 3.17-l
9.43+0 8.19+0
1.78+0 1.71+0
5.71-1 5.35-l
500 (6.17*21
8.09-1 7.60-I
1.74-1 1.66-l
5.66-Z 5.20-Z
2.83+0 2.7wo
6.00-l 5.77-1
1.33-1 1.79-l
5.92*0 5.73+0
1.2**0 1.20+0
*.oo-1 3.74-l
9.95*0 9.65+0
2.10+0 2.02+n
6.73-l 6.32-1
550 16.67+2)
9.35-1 3.06-1
2.01-l 1.33-1
6.55-Z 6.02-Z
3.29+0 3.12+ll
6.97-l 6.70-l
2.24-1 2.06-l
6.aa+o 6.6740
1.*5+0 1.35+0
4.65-l 4.35-l
1.15+1 1.12*1
z.w+o 2.35+0
7.62-l 7.31-l
600 t7.17*21
1.07rO 1.oe+o
2.30-l 2.21-l
7.49-2 6.90-2
3.7wo 3.66*0
7.99-I 7.69-1
2.57-l 2.39-1
7. so*0 7.66+0
1.66,0 1.60-O
5.33-l 1.99-1
1.32+1 1.29+1
2.aooo 2.70+0
8.98-1 a.*@-1
650 17.67*2l
l.tP+O 1.18+0
2.61-1 2.50-l
8.46-2 7.82-2
4.30+0 4.17*0
9.07-1 8.73-l
2.91-1 2.72-l
a.swo 6.71,0
1.89+0 1.02+0
6.05-L 5.67-l
1.50*1 l&6*1
3.19+0 3.06+0
1.02*0 9.59-1
700 t6.16*2)
1.37+0 1.330
2.9*-i 2.61-L
5.52-2 a-75-2
e. 85+0 e.70*0
1.0240 3.83-1
3.26-l 3.06-l
1.01*1 9.a2*0
2.12+0 2.05*0
6.81-l 6.39-1
1.7011 1.65*1
3.59*0 3.47+0
1.14*0 l.OWO
FUHM
SO
50 (1.27+2)
2.41-2 2.29-2
5.62-3 5.27-3
1.31-3 1.66-3
6.09-Z 7.75-2
l.ai-2 1.71-2
6.03-J 5.39-3
1.65-l 1.59-1
100 11.33+21
7.10-Z 6.78-Z
1.60-Z 1.51-2
5.33-3 4.76-3
2.41-l 2.32-l
5.30-Z 5.05-Z
1.74-Z l.sa-2
150 l2.52+21
1.30-l 1.25-l
2.32-2 2.76-2
3.70-3 8.66-3
1).42-l 4.33-l
9.76-2 3.32-2
200 l3.07+21
2.01-I 1.93-1
4.45-2 4.22-2
1.46-Z 1.32-Z
6.95-l 6.70-l
250 13.61+21
2.81-1 2.70-1
6.17-2 5.87-z
2.03-Z 1.83-i:
300 l4.13+2)
3.69-1 3.55-l
a-07-2 7.69-2
350 14.65+21
4.67-l 9.49-1
SOD 15.16*2>
.-----meANBLE
FY.lH
SD
FYHH
ENERGY iP C-MI
._-__---_.__---- -- .-_---___
SD
SD ll..?7*2~
5.66-l 5.46-l
100 l1.93*21 150 tt.SP+Z)
FYWM
._-------
-------
-----__
FYHM
FYHM
FY.lH
-------60.00
FM .lH
SD
1.23-l 1.18-I
@.02-2 3.70-Z
9.40-l 9.08-1
2.05-l 1.97-1
6.66-Z 6.18-2
1.39+0 1.3wo
3.05-l 2.93-1
5.93-2 9.21-2
1.83+0 1.1)3+0
4.22-l 4.06-l
1.37-l 1.27-l
1.72*0 1.66+0
3.70-l 3.56-l
1.19-1 1.11-l
2.66*0 2.77+0
6.20-l 5.97-1
2.00-L 1.86-l
@.22+0
9.25-1
@.OWO6.92-1
2.39-1 2.79-1
5.76+0 5.59+0
1.21*0 1.23+0
4.15-l 3.89-1
3.22+0 3.12+0
6.91-1 6.65-l
2.23-i 2.07-1
5.37*0 5.21*0
1.16+0 1.11+0
3.73-l 3.#9-1
1.31*0 7.6WO
l-73,0 1.67+0
5.58-l 5.21-l
1.07*1 1.0**1
2.*0-o 2.32+0
7.76-l 7.30-l
200 5.01*0 I3.07*2 I Q.86+0
1.07+0 1.03*0
3.w-1 3.22-l
8.33*0 a.os+o
1.79+0 1.73*0
5.78-1 5.*3-1
1.22+1 1.19*1
2.690 2.59*0
6.66-l O.lS-1
1*66*1 1.62*1
3.73*0 3.6OCO
1.2wo 1.13*0
tso I3.6112,
7.0**0 6.83+0
1.50*0 1.15+0
9.63-l 4.52-l
1.17'1 1.13+1
2.52+0 2.44*0
6.12-l 7.63-l
1.71*1 1.6711
3.7aro 3.65*0
i .2f+a l.lWO
2.33+1 2.26*1
5.2410 5.07+0
1.6$*0 1.60*0
300 I b.13rt)
9.31+0 9.03+0
i.sa+o 1.91~0
6.37-l 5.98-1
1.5**1 1.50*1
3.31+0 3.22+0
1.07+0 1.01+0
2.26*1 2.20+1
~.99*0 1. as+0
1.61*0 1.51*0
3.06*1 2.97*1
6.%3*0 6.71*0
2.2410 2.11*0
350 ;4.65*2)
1.17*1 l.l**l
2.5110 2.4300
6.07-l 7.96-l
x.95+1 1.ss+1
q.23+0 4.DYrO
1.36+0 i-28+0
t.ll5+z 2.77+1
6.33+0 6.13,0
2.01~0 1.92*0
3.8Wl 3.7Wl
a.7w 8.31@
2.6WO 2.69+0
so0 t5.16+21
1.e4*1 l.qO*l
3.09+0 2.98*0
3.92-1 3.33-1
2.35+1 2.32+1
5.20*0 s.o**o
1.67+0 1.57+0
3.42*1 3.39+1
7.79+0 7.s4*0
2.51+0 2.37-O
e.CS+l *.57*1
1.09*1 1.01*1
3.50*0 3.31*0
kE.0 15.67+2)
1.73*1 1.6601
3.71+0 3.59*0
1.19+0 1.12*0
2.86+1 2.79*1
6.26+0 C.OS+O
2.01+0 1.03~0
l .17+1 4.06*1
9.36+0 9.07~0
3.02*0 2.8WO
1.29+1 1.25+1
4.20*0 3.96*0
500 16.17+2)
2.04*1 1.99*1
4.38+0 *.24+0
1.+0+0 1.32+0
3.37+1 3.2811
7.3640 7.1590
2.37CO 2.2wo
l .119.1 4.76+1
1.10*1 1.07*1
3.56*0 3.37*0
1.53*1 1.ew1
#.SL*O 4.71*0
550 16.67rZl
2.37+1 2.31+1
5.10+0 4.93+0
1.63+0 1.54+0
3.90*1 3.00+1
8.59+0 a.32+0
2.76*0 2.61+0
1.21*1 1.21+1
*.1e*o 3.93*0
1.77+1 1.72+1
5.71)*0 5.*(1*0
600 17.17+21
2.72+1 2.65rl
S.Ci+O 5.67+0
1.67*0 1.77+0
l .a7+1 4.35+1
9.86*0 3.55+0
3.17+0 3.00*0
1.e7+1 1.*2+1
@.76*0 a.51*0
2.03+1 1.97+1
6.6WD 6.30+0
650 17.67+21
3.09*1 3.01*1
6.66iO 6.4krO
2.13+0 2.01+0
x.12+1 l.OWI
3.60+0 3.@1,0
1.67+1 1.62*1
5 .e2*0 5.1,+0
2.31+1 2.24*1
7.55+0 7.17+0
700 18.16+21
3.P6*1 3.38+1
7.50*0 7.26+0
2.40*0 2.27+0
1.26*1 1.22+1
M.O6+0 3.a5+0
1.1)8*1 l.a3+1
6.11*0 5.79*0
2.60*1 2.53+1
8.51*0
See page 480 for Explanation
FYHW
.__------
SO
IO.00
30.00
ENERBV IP C-Ml
FY. 1U
FY.lW
of Tables
504
SD
FY.IH
SD
FYW))
FU.U(
a.os+o
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS ANGLE
5.00
THROUGH GE
10.00
FYHM
2.38-Z 2.27-2
5.57-3 5.23-3
1.90-3 l-64-3
7.99-2 7.65-Z
1.75-2 1.69-2
5.98-3 5.33-3
1.63-l 1.56-l
3.61-2 3.*3-Z
1.19-2 1.07-Z
2.72-l 2.61-l
5.96-Z 5.69-2
1.95-z 1.78-2
100 l1.94*2l
7.00-Z 6.69-2
1.58-z 1.19-2
5.32-3 9.71-3
z.sa-1 2.28-l
5.23-Z 4.98-2
1.72-2 1.56-Z
*.91-l e. 73-l
1.06-l 1.01-l
3.&a-2 3.18-z
8.22-l 7.93-l
1.77-l 1.69-l
5.76-2 5.30-Z
150 l2.52+2~
1.28-l x.23-1
2.88-2 2.73-2
9.58-3 8.57-3
4.12-l 5.26-1
9.62-2 S.la-2
3.1e2 2.87-z
9.16-l 8.81-l
1.97-1 1.88-l
6&O-2 5.89-2
1.53*0 hea+
3.29-l 3.15-l
1.06-l 9.%-2
200 i3.oa+zt
1.98-l 1.40-1
*.3a-2 1).16-Z
1.45-2 1.30-Z
C.ES-1 6.59-l
l.Q7-1 1.*1-1
4.81-z *.41-2
l.@l,O 1.37+0
3.03-l 2.91-l
9.1)3-2 9. on-2
2.38eO 2.30+0
6.08-l *.w-1
1.69-l 1.52-l
250 13.61+21
2.76-l 2.65-l
6.08-Z 5.78-z
2.00-2 l-al-2
9.55-1 5.25-l
2.06-l 1.97-1
6.69-Z 6.15-Z
1.94ro 1.9210
9.21-l @.07-1
1.37-l 1.27-l
3.31*0 I.ZI*O
7.11-1 6-84-l
2.29-l 2.13-L
300 IY.l**zl
3.63-l 3.49-l
7.95-2 7.57-2
2.61-2 2.37-2
l.zS+D 1.22+0
2.70-l 2.59-I
a.77-2 a.os-2
2.63+0 2. SW0
5.59-l 5.37-t
1.80-l 1.67-1
l .42*0 e.28+0
9.38-1 9.03-l
3.01-l 2.01-l
350 14.65*21
*.s9-1 4.*2-l
1.00-l 9.53-Z
3.2-1-Z 2.90-2
1.60*0 1.5**0
3.41-l 3.27-l
1.10-l 1.02-l
3.33+0 3.23rO
7.01-l 6.80-L
2.27-1 2.11-1
5.61*0 5.4**0
l.lWO 1.1e*o
3-81-l 3.56-l
500 I5.17+2)
5.63-l 5.@2-1
1.22-l 1.16-l
3.59-2 3.64-Z
1.96+0 1.90*0
*.18-l U.Ol-1
1.35-l 1.25-l
5.10*0 3.97+0
1.67-l 8.35-L
2.79-l 2.60-l
6.90*0 6.69+0
1.45*0 1.1)0*0
9.66-1 4.38-l
950 I5.67rZl
6.75-l 6.50-l
1.45-l 1.39-l
e-76-2 8.35-2
Z-36*0 2.28,0
5.01-l W.81-1
1.61-I 1.50-l
4.92*0
l .77+0
1.0**0 1.00+0
3.w-1 3.12-l
B.tS*O G.OVO
1.75*0 1.68+0
5.61-l 5.26-l
500 16.16*27
7.95-l 7.67-l
1.71-1 1.63-l
5.58-2 5.12-z
2.70+0 2.69*0
5.90-1 5.67-l
1.90-l 1.76-l
5.a1*0 S.63*0
1.22*0 l.lWO
3.93-1 3.68-l
9.7wo s.*s+o
2.06+0 1.99*0
6.62-l 6.20-l
550 16.68*21
9.23-l 8.90-l
1.98-l 1.89-l
6.45-Z 5.93-2
3.2WD 3.13*0
6.65-l 6.56-l
2.20-l 2.05-l
6.76+0 6.55*0
1.e2*0 1.37*0
l .57-1 *.27-1
1.x3*1 1.10*1
2.*0*0 2.31+0
7.60-1 7.21-l
600 1?.18*2l
1.0510 1.02*0
2.27-l 2.17-t
7.37-Z 6.78-Z
3.72*0 3.60*0
7.85-l 7.55-l
2.52-l 2.35-I
7.76*0 7.53*0
1.63*0 1.57*0
5.2@-1 4.=-1
1.30*1 1.26*1
2.75+0 2.66*0
a.az-1 a.zs-1
CSO i7.60*2~
X.20+0 1.16*0
2.57-l 2.@6-1
8.35-z 7.69-Z
1.22.0 b09*D
8.52-1 8.561
2.86-I 2.67-l
a.azw 8.56*0
1.a5*0 1.79+0
5.%-l 5.67-l
l&8*1 lAWI
3.13+0 3.02+0
l.OWO 9.42-1
700 I8.17*27
1.35*0 l.I)*O
2.89-1 2.77-l
9.31-2 8.61-2
1.76*0 e.s1+0
l.omO 9.%-l
3.22-l 3.00-l
9.9*+0
2.09*0 2.01*0
6.70-f 6.2S-1
1.67*1 1.62+1
3.52*0 3.*0*0
1.12*0 1.06+0
FUWI
FY.lI(
SO
30.00 SO
FY.11
SO
9.65*0
40.00
FYWI!
FY.lM
so
FYHII
FYHM
20.00
50 l1.27+2)
ANGLE
FYHW
15.00
SD
ENERGY tP C-R)
FY.lM
SD
ENERGY IP C-MI
FY.lM
SO
50.00 FY.lll
SO
FYHM
FU .llI
6O.M FUNN
F&III
so l1.27*21
5.59-l 5.39-1
1.21-l 1.16-l
3.97-2 3.65-2
S.Za-1 8.36-1
2.02-l 1.9+1
6.59-2 6.09-Z
1. x6*0 1.32Io
3.01-l 2.89-1
9.79-2 3.08-2
1.&6*0 i.ao*o
@.16-l boo-1
1.35-l 1.26-l
100 #l.3@+21
1.63*0 1.61*0
3.66-t 3.50-l
1.18-l 1.09-l
z.Gz*o 2.73-O
6.11-l 5.87-1
1.97-1 l&3-1
4.17+0 4.0**0
9.11-l a.7e1
2.9b1 2.?5-1
5.63*0 s.sz*o
1*2s+o 1.21*0
1.08-1 3.12-l
150 (2.52*21
3.17*0 3.07rO
6.80-l 6-W-l
2.19-l 2.06-l
s.zs*o 5.13*0
l.lWO 1.10+0
3.67-l 3.@3-1
t.r1*0 7.5a.o
1.70*0 l&W0
s.*s-1 5.16-l
l.OC*l 1.03+1
2.36*0 2.2mo
7.6+1 7.11-l
200 13.08+2l
@.%CO h.78+0
1.05*0 1.01+0
3.39-l 3.16-L
a.21*0 7.97+0
1.76*0 1.70+0
5.69-1 5.33-l
1.21*1 1.17*1
2.68*0 2.55*0
G-52-1 G.EIl-1
1.6Wl l&o*1
3.67*0 3.5**0
1.18*0 1.11*0
250 #3.61*21
6.93rO C.RP*O
1.47*0 l&2*0
1.15*1 1.11*x
2.2wo trlO*O
7.99-1 7.50-l
1.6-l l.&Wl
3.71*0 3.53*0
1.19+0 1.12*0
2.30*1 2.2**1
5.19*0 * .s¶*O
l&6+0 1.17+0
300 t11.15*21
S-16*0 8.~5*0
1.95*0 1.fm*o
6.26-l 5.87-l
1.52*1 1.e7*1
3.28+0 3.17+0
1.05*0 9.92-1
2.23+1 2.17*1
Q.sl+o e.75*0
3.02*1 2.3~*1
6.82+0 i.LO*O
t.zo+a t.owo
350 [email protected]+2l
lrf6eL l.ltel
2.17+0 2.38*0
7.93-l 7.a5-1
1.92*3 1.a741
*.X6*0 e .oz*o
1.33+0 1.22*0
z.e*1 Z.?Wl
l .Ot*O
z.m*o 1.99*0
3ra1*1 3.70*1
S.M*O e.37*0
2.?9+0 2.6.*0
so0 l6.17+21
1.*2*1 1.38*1
3.owo 2.33+0
9.75-1 9.16-l
2.35*1 2.29+x
5.12*0 a.ss+o
l.CI*O 1.55*0
3.***1 3.35*1
7.66*0 7.e1*0
t.*C*O 2.33*0
*As*1 *.52*1
l.OC4 1.02*1
3.43*0 3.25*0
as0 15.67rtl
1.71*1 1.66+1
3.65+0 3.53*0
1.17*0 1.10+0
z.a2+1 2.75+1
S.LS*O 5.95*0
1.%7+0 l&6+0
a. 12*1 a-01*1
9.20~0 0.31*0
2.95+0 z.eo*o
1.27+1 1.23*1
1.13*0 s&l*0
500 t6.la+2l
2.01*1 l.SLel
4.31+0 a.l6*0
1.3a+o 1.30+0
3.32*1 3.23*1
7.26*0 7.02*0
2.33*0 2.20*0
*.a3*1 4.11*1
l.OWl 1.05*1
3.50*0 3.31*0
1.50+1 1.45*1
l .U*O
550 16.68+21
2.3@+1 2.27+1
5.01*0 @.BWO
1.60+0 1.51.0
3.wir1 3.75+1
B.W*O a.17*0
2.71*0 Z&6*0
&.26*1 1.22*1
l .07*0
1.7**1 1.53*1
S.67,0 s.31*0
600 17.18etl
2.6~rl 2.61+1
5.7510 5.56*0
1.e**o 1.73*0
b.l.1
9.69*0 9.3sro
3.11*0 2.91+0
2.00*1 l.SWl
c.s2*0 C.ls*O
650 17.68+21
3.0141 2.96+1
6.SWO 6.33+0
2.09*0 l.sl+o
a.93*1
1.10+1 l.OC+l
3.54*0 3.35+0
1.6**1 1.53*1
5.32*0 5 .o**o
2.27*1 2.21+1
7 AZ+0 7.owo
700 ta.i7+2i
s.e2*1 3.3341
7.37*0 7.13+0
2.36+0 2.23*0
l.ZWl 1.20+1
3.99*0 3.7mo
l.Gs*l 1.79+x
6.0010 5.69*0
2.5601 z.Qs*l
8.36*0 7.95*0
l .29*1 4.06*1
6*22W
s.as*o
I.CZ*O
See page 480 for Explanation of Tables 505
Atomic
Data and Nuclear Doto bbhr,
Vol. 15, No. 5, MT
1975
and MAYES
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS ANGLE ENERGY IP C-MI
FNHN
FY.lH
SO
FYHH
15.00 Fu.111
SO
FYHN
2o.ocl
FY.lM
SO
FYIIN
FV.ltl
50 11.21+21
2.23-2 2.12-Z
5.25-3 @.92-3
1.80-3 1.59-3
1.*5-2 1.13-2
1.68-Z
1.59-Z
5.62-3 4.99-3
1.52-l 1.*6-l
3.37-2 3.20-Z
1.11-z 1.00-Z
2.53-l Z&3-1
5.57-2 5.30-Z
1.83-2 1.66-2
100 ~l.SYctl
6.52-2 6.22-2
1.58-Z l.lO-2
9.99-3 q.qo-3
2.21-l 2.12-1
@.a?-2 4.63-2
1.60-Z
q.ss-1 @.38-l
9.91-Z 9.46-Z
3.2k-2 2.96-2
7.62-l
1.6(1-l
1.45-2
7.35-l
1.51-1
5.36-Z 4.93-z
150 t2.52+2)
1.19-l 1.14-1
2.68-2 2.55-z
8.95-3 1.98-3
1).10-1 3.91-l
8.94-Z 8.53-Z
2.93-2 2.66-2
G.@9-1 8.18-l
1.83-l 1.15-l
5.95-2 S&7-2
1.qt*o 1.37ro
3.05-l 2.92-1
9.88-Z 9.13-r
200 13.05121
1.83-l
9.08-Z 3.81-2
1.35-2 1.21-Z
6.33-l 6.10-l
1.31-l 1.31-l
a.@?-2 4.09-z
1.31+0
2.81-l
1.16-1
1.26+0
2.69-l
9.12-2 8.12-Z
2.20+0 2.13+0
k.lO-1 q.52-1
1.52-l 1.41-l
1. a*+0
3.93-1
1.18+0
3.71-l
1.27-1 1.11-l
3.09+0 2.99+0
6.51-l 6.33-l
2.12-L 1.97-1
1.50-Z
z.q3+0 2.35*0
5.11-1 4.91-l
1.67-l 1 AS-1
q.o9*0 3.96+0
8.60-l 8.35-l
2.79-l 2.60-l
3.16-1 3.03-l
1.02-l 9.@6-2
3.omo 2.9a+o
6.51-l 6.29-l
2.10-1 1.96-1
5.1a+o 5.02+0
1.09+0 1.05+0
3.53-l 3.29-l
3.81-L 3.11-l
1.25-l 1.16-l
3.79+0 3.61+0
a.oz-1 1.72-l
2.55-l 2&O-1
6.30+0 6.18*0
1.3wo 1.30+0
4.33-l k.O5-1
250 t3.a+21
2.56-l
2.46-l
5.65-2 5.31-t
1.86-Z 1.68-2
6.81-1 8.55-l
1.91-l 1.82-l
6.21-Z 5.10-Z
300 11).14*2l
3.31-l 3.24-l
1.39-2 7.03-Z
2.12-z 2.20-Z
1.11*0
2.50-l 2.@0-1
8.11-2
1.12+0
350
@.25-l 1.09-l
9.29-Z 8.84-Z
3.0&Z 2.76-2
l.qG*o t.q3*0
5.21-l
l&.66+21 qoo 15.11+2)
5.02-l
1.13-l 1.08-l
3.10-Z 3.38-2
1.a2+0 1.15+0
450 #5.68+2l
6.25-l 6.02-l
1.35-l 1.29-1
q.qt-2 q .01-z
2.1a+o
1.6k-1
1.50-1
Z.ll+D
@.kS-1
1.39-l
k. SW0 k.qleo
9.62-l 9.26-l
3.09-1 2.11-l
7.66*0 1.*3*0
1.61+0 J.56+0
5.19-l 1.06-l
500
1.36-l 1.09-l
1.58-l 1.51-l
5.18-Z 4.1*-z
2.57+0 t.a9*0
S.q6-1
(6.19+21
5.25-l
1.76-l 1.63-1
5.37+0 5.21ro
1.13*0 1.09*0
3.64-l 3.40-l
s.oq*o 9.17*0
1.90*0 1.EI1+0
6.12-l 5.73-l
550 16.69*2J
0.51)-l 5.23-l
l.G@-1 1.15-l
5.99-2 S*I9-2
2.99*0 2.09+0
6.31-l 6.09-l
Z.Ok-1 l.G9-1
6.2S+O 6.0510
1.3i*o 1.26+0
*.22-1 3.95-l
1.05*1 1.02*1
2.21+0 2.14+0
7.10-l 6.66-l
600 t1.19+21
9.19-l 9.w-1
2.10-l 2.01-I
6.Gk-2 6.28-Z
3.q3*0 3.32+0
7.26-l 6.98-l
2.34-l 2.11-l
7.17*0 6.96+0
1.51*0 l&9*0
q.Gk-1 @.53-1
1.20+1 1.11*1
2.54*0 2.45*0
8.15-l 7.65-l
650 ll.69*2#
l.ll*O
2.38-l 2.28-l
1.1*-z 1.12-t
3.90+0 3.10+0
8.2F1 1.93-I
2.65-l Z.Q?-1
a.15*0 7.91ro
L?i+O 1.65+0
5.90-l 5.19-I
1.31+1
l.Ol*O
1.33*1
2.69+0 2.79*0
9.26-l 8.70-l
100 ca.ts*zJ
1.25*0 1.20*0
2.61-l 2.56-l
0.69-Z 8.00-Z
k.ko+o 1.26+0
9.28-l
2.98-t 2.70-l
9.29*0 0.91*0
1.93*0 1.96+0
6.19-l 5.10-l
1.5q*1 1.50*1
5.25*0 3.14*0
l.ok*o 9.00-l
30.00
4NRLE
50.00
kO.00
FY.111
so
SO
FYHR
FY.lR
SO
FWR
50 tl.27+27
6.20-l 5.01-l
1.13-l 1.00-l
3.70-Z 3.ko-2
G.Ok-1 6.39-l
I.%-I 2.01-l
C.lb2 5.61-Z
1.27*0 1.23*0
2.60-l 2.69-l
9.12-Z 6.U-2
l.?WO 1.66*0
3.67-l 3.72-l
X.26-l 1.17-l
100 t1.9q+21
1.57*0 lo52*0
3.39-l 3.25-l
1.09-l 1.01-l
2.62+0 2.53*0
5.66-l 5.kC1
1.83-l 1.70-l
3.66*0 3.76*0
6.66-l 6.16-l
2.73-l 2.oI-1
5.31*0 5.15*0
1.17*0 1.x2*0
3.16-l 3.66-l
150 12.52*21
2.swo 2.05*0
6.30-l 6.06-l
2.03-l 1.09-1
q.91+0 ..76+0
l-06+0
1.01*0
3.10-I 3.18-1
2.26+D 7.oI*o
1.97*0 l.5246
S.OS-1 k. 77-1
9.93*0 9.6WO
2.19W 2.11+0
7.01-l 6.64-l
200 l3.S6+2l
4.51+0
q.qz*o
9.79-l 9.39-l
3.14-l 2.93-l
7.62+0 7.39*0
1.63*0 1.57*0
6.27-l 6.93-l
1.12*1 LOW1
2.6WO 2.36*0
7.66-l 7.a-1
1.93*1 l&9+1
3.39*0 3*26*0
1.0~0 1.03+0
250 l3.61+2)
6.k2*0 6.22+0
1.36+0 1.31+0
k-39-1 &11-l
1.06+1 1.03+1
2.29+0 2.21+0
7.39-l 6.93-l
1.51+1 1.93*1
3.*3*0 3.32+0
1.10*0 l.OWO
2.15+1 2.091
l .77*0 &Cl*0
l&W0 l.kWO
300
G.kWO 6.23+0
l.GO10
5.19-l
Il.llrLl
1.11+0
S.k3-1
1.41+x 1.37+1
3.03+0 2.93*0
9.75-l 9.17-l
2.07*1 2.02*1
6.9WO e.39*0
l&6*0 1.37*0
2.02*1 2.7Wl
6.3¶+0 C.lO*O
2.03+0 1.93+0
350 16.66+2l
1.07*1 l.Ok*l
2.2wo 2.20*0
7.33-l 6.88-I
1.19*1
3.9~*0 3.72*0
l-23+0
1.73+1
l.tS+O
Z-62*1 2.51*1
6.76+0 s.57*0
1.65*0 1.76,0
3.66*1 3.96*1
6.00*0 7.7wo
2.86+0 2.66*0
400 l6.17*2)
1.32+1 1.28el
2.01*0 2.71*0
9.01-l 0.16-1
t.lS+l 2.13*1
q-73+0 q.57*0
1.51*0 1.13*0
3.21*1 3.12*1
7.06*0 6. GS*O
2.26*0 2.15*0
l .35*1 9.23*1
9.6-O S&2+0
3.17*0 3.00~0
uo lS.68*21
1.5ar1 l.Skel
3.37*0 3.26*0
l.OL+O 1.01*0
2.62+1 2.59+1
s.m*o 5.59+0
x&2*0 1.72+0
3.66*1 3. I** l
6.91*0 6.2110
2.7HO 2.59*0
1.16*1 1.11*1
3.61*0 3.61+0
500 16.19~2)
1.96*1 l.Glrl
3.9aro 3.05*0
1.27+0 1.20*0
3.09*1 3.00*1
6.71+0 6.eS+O
2.15.0 2.03+0
e.51+1
l.Ol+f 9.7210
3.23+0 3.06*0
1.39*1 1.36*1
6.50*0 6.27+0
550 16.69+21
2.17+1 2.11+1
+.63+0 k.k7+0
l.ks+o 1.39+0
3.50*1 3.*a*1
1.90*0
7.95+0
2.50+0 2.36*0
1.16*1 1.13*1
3.76*0 3.56*0
l.Cl+l l.SC+l
5.2wo 6.97*0
600 ~1.19*21
2.4811
5.31+0 5.14*0
1.70+0 1.60+0
k.lo*l 3.99*1
8.96+0 8.67*0
Z&7*0 2.12+0
I.%*1 1.29*1
6.32*0 k-09*0
1.65*1
2.*2+1
1.80*1
6.02*0 s.71*0
650 l7.69eZl
2.1*+1
6.OWO s.m+o
1.93*0 1.02+0
q.65+1 q.52*1
1.01+1 9.86+0
3.21*0 3.09+0
1.52+1 1.47*x
q.¶l*o k.69,0
2.1191 2.01*1
6.6WO 6.5OcO
700 18.19+2)
3.1711 3.09+1
6.81+0 6.59*0
2.1mo 2.05+0
IrlWl 1.11*1
3.68+0 3.w*o
1.71*x 1.66,1
s&6*0 5.25*0
2.37*1 2.30~1
7.72*0 7.33+0
of Tables
Data and Nuclear Data Tables, Vol. 15, No. 5, May 1975
506
SO
*.39+1
FUR!!
60.00 FY.lR
2.82+1
FYWM
8.93-l
ENERBY IP C-MI
See page 480 for Explanation
Atomic
10.00
5.00 so
1HROUSH KR
FM.111
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS 5.00
ANGLE ENERGY IP C-MI
SO
50 Il.za+zl
2.02-Z 1.92-Z
100 11.94r21
FY.lN
SO
15.00
4.77-3 4.47-3
1.64-3 1.40-3
6.71-2 6.42-2
1.52-2 1.43-2
5.66-P 5.59-2
1.34-2 l-26-2
4.52-3 3.97-3
1.36-1 1.90-l
150 lz.s2+2l
1.07-l 1.02-l
2.42-2 2.29-2
8.08-3 7.19-3
200 13.06+21
1.64-l 1.56-l
3.67-2 3.48-2
250 13.62+2)
2.29-1 2.20-l
300 Iq.14czl
20.00
SO
FYHtl
FY.lI(
so
FYHll
FM .lI
5.10-3 4.51-3
1.36-l 1.31-l
3.04-2 2.89-2
1.01-2 9.05-3
2.27-l 2.18-l
5.02-2 4.78-2
1.65-2 1.49-2
4.39-2 4.1?-2
1.45-2 X.30-2
4.08-l 3.93-l
8.91-2 8.49-Z
2.91-2 2.66-2
6.83-l 6.58-l
1.47-l 1.41-f
4.02-2 4.42-2
3.67-l 3.53-l
8.03-2 7.65-2
2.63-2 2.39-2
7.60-l 7.32-l
1.64-l 1.56-l
5.34-2 4.90-2
1.27+0 1.23*0
2.73-l 2.62-l
8.06-2 8.18-2
1.21-2 1.09-2
5.67-l 5.46-l
1.23-l 1.17-l
4.01-2 3.67-2
1.17+0
1.13*0
2.52-l 2.41-l
0.18-2 7.54-2
1.97+0 1.90+0
4.21-l 4.04-l
1.36-l 1.26-1
5.08-2 4.82-2
1.67-2 1.51-t
7.33-l 7.65-l
1.72-l 1.63-l
5.67-2 5.11-t
1.6400 1.59*0
3.52-l 3.37-x
1.13-l I. OS-1
2.76+0 2.68+0
5.59-1 5.66-l
1.90-L 1.76-1
3.01-L 2.89-l
6.63-2 6.31-2
2.18-2 l.i37-2
1.04+0 1.00*0
2.24-l 2.1s-1
7.30-2 6.71-2
2.17+0 2.10*0
4.63-l 4.4.-1
1.49-l 1.38-1
3.65+0 3.54+0
7.76-l 7.46-l
2.50-l 2.32-l
350 14.66+21
3.60-l 3.66-l
8.32-2 7.93-2
2.73-2 2.48-2
l-32*0 1.27*0
2.83-l 2.71-l
9.18-2 8.47-2
2.75+0 2.66*0
5.85-f 5.62-l
1 .ee-1 1.75-1
4.63*0 4.49*0
9.82-1 9.45-l
3.15-l 2.94-l
*DO 15.17+2)
4.66-l 4.68-l
1.01-l 9.69-2
3.33-2 3.03-Z
1.62*0 1.57+0
3.46-l 3.32-l
1.12-l 1.03-l
3.3a+o 3.27+0
7.17-l 6.90-l
2.31-l 2.15-1
s-70+0 s.s2+0
1.2oe 1.16+0
3.a7-1 3.61-l
450 l5.68*21
5.59-l 5.38-l
1.21-l 1.15-l
3.96-2 3.62-2
1.95+0 1.sa*o
4.15-l 3.9&1
1.34-1 1.24-l
4.06+0 3.94+0
8.W-1 8.27-l
2.76-l 2.57-l
6.84*0 6.64+0
1.44+0 1.39*0
4.64-l 4.34-l
500 ,6.19+2)
6.58-l 6.33-l
1.42-L 1.36-l
4.64-2 4.25-P
2.30+0 2.22+0
4.08-l 4.69-l
1.57-l 1.46-l
4.79+0 4.55+0
1.01*0 9.75-l
3.2S-1 3.03-l
a.o7*0 7.03*0
1.70+0 1.64+0
5.46-1 5.12-l
550 16.69*2)
?.sf-1 7.36-l
1.64-l 1.67-l
s-37-2 4.92-2
2.67*0 2.50*0
5.66-l 5.44-l
3.*2-1 1.63-l
5.57+0 5.40*0
1.17*0 1.13*0
3.76-l 3.u-1
9.39*0 9.11*0
1.99*0 1.91*0
6.35-l 5.36-l
600 17.20*21
8.75-l 8.43-l
1.58-l 1.50-1
6.13-2 5.62-2
3.06+0 2.97*0
6.49-l 6.24-l
2.09-l 1.94-l
6.40+0 5.21*0
1.35*0 i.3a+o
4.33-l 4.04-i
1.07*1 1.04*1
2.27*0 2.19*0
7.28-l 6.13-l
650 l7.70*21
9.93-1 9.59-l
2.13-1 2.04-l
6.94-2 5.37-2
3.4a+o 3.37*0
7.37-l 7.oS-1
2.37-l 2.20-1
7.2WO 7.06*0
1.53*0 1.47*0
4.91-l l .w-1
1.22*1 l.lS*l
2.smo 2.49+0
8.27-t 7.76-l
700 :8.19+21
1.11+0 1.07*0
2.33-l 2.29-l
7.78-2 7.16-2
3.92*0 3.1)0*0
8.29-L 7.37-1
2.66-l 2.48-l
a.2oa 7.9sw
1.7249 i.CSW
5.53-l 5.18-l
l-38*1 1.34+1
Z.SO+O 2.aoco
3.31-l 8.74-l
_---_--_
-----------
so
FYHH
FY.lH
_-__---_
30.00
ANOLE ENEREV IP C-RI
FYHH
THROUBH ZR
10.00
SD
FYHM
50.00 FY.lI
so
FV.lM
so
FYNW
60.00 FM.111
SO
FWIM
CU.11
4.67-l 4.50-l
1.02-t 9.76-2
3.34-2 3.05-2
7.77-l 7.50-l
1.65-L 3.62-l
5.53-2 5.09-2
1.14+0 1.10+0
2.92-1 2.41-l
1.20-2 7.Sh2
l.S7+0
lLzm2) 100 tl.S4*2l
1.4lCO 1.36*0
3.04-I 2.91-l
9.05-2 9.11-2
2.35*0 2.27+0
5.05-l 4.88-l
1.64-L 1.52-l
3.4mo 3.37*0
7.57-1 7.21-l
2.44-l 2.26-l
15a l2.52+2)
2.53*0 2.55+0
5.64-l 5.42-l
1.a2-1 1.69-l
*.4e*o 4.26?0
!J.w-1 9.11-l
3.05-l 2.84-l
6.51*0 6.32*0
1.41*0 1.3mo
4&S-1 4.26-l
200 l3.08+2#
4.08*0 3.96*0
8.72-l 8.33-l
2.81-l 2.61-l
s.e2*e 5.52+0
1.4c+o 1.w+o
4.71-l q&l-2
1.00*1 3.80+0
2.1a*o 2.11*0
7.04-l 6.61-l
1.30*1 1.34+1
3.04*0 2.93*0
s.ee-1
250 13.62*21
s-74*0 S.SC*O
1.22+0 1.17*0
3.93-l 3.67-l
s.ss*o 9.30+0
z.os*o 1.se*o
6.60-l 6.19-l
1.41*1 1.37*1
3.07*0 2.97*0
S.W-1 9.29-I
1.93*1 l.at*l
4.2Seo 4.12*0
1.37W
300 l4.14+21
7.!68+0 7.36+0
l.Cl*O 1.55+0
5.1a-1 4.05-1
1.26~1 1.22+1
2*71*0 2.62*0
8.71-l 1.18-I
1.ew1 l&l*1
4.as*o 3.92*0
1.3a*e 1.23+0
2.54*1 2.47*1
S.C~*O S.QS+O
l-U*0
350 t4.66+2)
9.61*0 9.32*0
2.04+0 1.97*0
6.55-l 6.14-l
1.60+1 1.55*1
3.43*0 3.32*0
1.10*0 1.03*0
2.3191 2.29*1
s.14*0 4.97*0
1.65+0
1.!s*o
3.20+1 3.1201
7.15+0 6.¶2+0
2.3o+a 2.17-O
boo 15.X7+2)
1.1a+1 1.14+1
2.51*0 2.4210
5.06-1 7.55-l
1.9fi*1 1.30*1
4.22*0 4.01+0
1. I%*0 1.27*0
z.m*1 2.8lwl
6.3210 s.12*0
2.03*0 1.92*0
3.92*1 3.a1*1
8.79*0 e.s1*0
2.03*0 Z.CWO
450 (5.6812)
l.41*1 l-37*1
3.01*0 2.91+0
9.66-l 9.08-l
2.35*1 2.21+1
s.07*0 4.9x*0
1.52*0 1.53*0
3.45*1 3.3601
T.W*O 7.36*0
2.44+0 2.31*0
4.68*x 4.55*1
1.05*1 1.02*1
3.40010 3.22*0
500 f6.19+21
1.67+1 l&2+1
3.55+0 3.4390
1.13.0 1.07*0
2.77*1 2.6Wl
s.ss*o s-79+0
1.92+0 l&l+0
l .os*1 3.95*1
l . %*o 8.6WO
2.SSCO 2.72+0
1.24+1 1.20*1
4.02+0 3.a1*0
550 i6.69+21
1.94*1 1.5841
4.13+0 3.99+0
l-32+0 1.24*0
3.21*1 3.12+3
6.9600 6.74+0
2.23*0 2.11*0
4.70*1 4.57*1
l.ewl 1.01*1
3.35+0 3.17*0
1.44*1 r.q0*1
4.cmo 1.43*0
600 t7.20*21
2.2211 2.16+1
4.74*0 4.59+0
1.52*0 1.43+0
3.68*1 3.SWl
e.oo*o 7.74+0
2.55+0 t.q2+0
1.13.1 l.lWl
3.SVO 3.690
l-66*1 1.61*1
s-37*0 s-09*0
650 t7.70+21
2.52*1 2.4Srl
5.39*0 5.21+0
1.72+0 1.62~0
4.17+1 4.06rl
3.09~0 a.eo.0
2.91+0 2.75*0
1.36*1 1.31*1
4.3wo 4.1s*o
1.00+1 1.03*1
C.ll+O s.so*o
700 tB.lS+tl
2.84tl 2.76+1
6.07*0 5.8WO
1.91+0 1.83,0
1).59+1 9.56*1
1.02*1 9.92+0
3.28*0 3.11+0
1.53+1 1.4m1
*.SQ*0 *.6e+o
2.12*1 2.06*1
6.89*0 6.SWO
See page 480 for Explanation
of Tables
507
3.46-l 3.34-1
1.33-l
4.77*0 4.53*0
1.0410
3.35-l 3.17-l
6.93+0
1.w*o
8.Wyl
1.m*o
1.52+0
1.01*0
l-OS-1
6.32-l 3.93-1 9.21-l 1.29*0 1.71*0
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS THROUGH A6 ANGLE ENERQV 4P c-n, so
10.00
5.00
SD
FUHll
1.80-Z
FY.111 1.50-3
SD
w.o3-3
1.21-1 1.16-l
2.71-Z 2.57-Z
9.0@-3 6.08-3
2.01-l 1.93-1
4.46-Z 4.21-Z
1.47-Z 1.33-Z
7.88-Z 7.50-Z
2.55-Z 2.35-2
6.01-l 5.79-l
1.30-l 1.24-l
1.26-Z 3.90-t
FY.lN
1.29-Z
3.59-l
1.15-2
3.w5-1
2.15-Z 2.03-Z
7.21-3 6.38-3
3.23-l 3.10-l
7.10-Z 6.75-2
2.33-2 2.11-2
6.67-l 6.83-l
l.W-1 1.36-l
*.72-2 @.32-2
1.11+0 1.07+0
2.40-l 2.30-l
7.62-Z 7.20-2
3.25-2 3.06-2
1.03-Z 9.67-3
4.97-l e.79-1
1.08-l
3.55-Z 3.23-2
1.03*0
2.21-L 2.12-l
7.21-Z 6.63-2
1.73*0
9.94-l
1.67*0
3.70-l 3.55-l
1.19-L 1.10-l
1.00-l 9.25-Z
2.*2*0 2.34*0
5.17-l *.96-l
1.67-l 1.5+1
3.20+0
6.60-l 6.5+1
2.19-l 2.0@-1
1.19-2 1.12-Z
150 12.52+21
9.Y9-7.
9.07-z
1.03-l
a.sa-3
FVWW
3.59-Z 3.69-2
5.19-t 4.95-z
2.02-l
FY.lN
1.67-l
ion t1.9**21
250
FYIW
1.75-1
1.26-3
1.39-1
za.ac
SD
11.[16-3 3.54-3
@.31-3 @.03-3
i.es-i
15.00 FM.lH
1.36-Z l.PS-2
1.71-Z
too
FYHII
5.96-2 5.69-Z
11.2WZl
13.08+2)
so
1.93-l
@.@9-2 a.26-2
1.e5-2 1.33-2
6.96-l 6.70-l
1.90-l
t3.62*2)
1.@3-1
e.91-2 ,.50-z
1.4e*o 1.39+0
3.09-L 2.96-l
300 lt,.15*2l
2.65-1 2.5&l
5.65-Z 5.56-2
1.93-2
9.17-l 8.94-l
1.97-1 1.69-1
6.13-2 5.90-t
1.90-0 l.Sk*O
l .06-1
1.7@-2
3.90-l
1.31-1 1.21-l
3.10*0
350 lc).66*2l
3.34-i 3.21-l
7.3b2 6.99-2
z.e1-2 2.16-Z
1.15*0 1.11+0
2.4&1 2.36-l
5.05-Z 7.*@-2
z.e1+0 2.33+0
5.13-l 4.92-l
1.65-l 1.53-l
3.92*0
6.60-l 6.27-l
2.77-l 2.56-l
baa ts.lB*tl
4.09-1 3.93-l
0.95-2 8.53-Z
2.9b2 2.67-2
1.42*0 1.37*0
3.M-1 2.91-1
9.06-Z 9.10-z
2.96*0 2.66+0
6.29-l 6.01-l
2.02-1 1.80-l
4.98-O 4.03*0
1.osco 1.01*0
3.39-l 3.16-1
es0 (5.69*2)
e-90-1 6.71-l
1.06-l
1.01-l
3.50-Z 3.18-t
1.70+0 1.6@+0
3.64-l 3.@9-1
1.11-l 1.09-l
3.5510 3.eero
7.54-1 7.21-l
2.42-1 2.25-l
5.99*0 5.10*0
1.26+0 1.21*0
4.064 3.79-l
500 16.20*2t
5.76-l 5.55-l
1.25-l 1.19-1
Q.lo-2 3.7a-2
2.01*0 1.9aa
8.26-l
4.11-l
1.36-1 1.25-l
a.19*0 6.06*0
6.87-1 0.54-l
2.855-L 2.66-l
7.06*0 6.05*0
1.*9*0 1.e3*0
4.79-l @&7-l
550 i6.70+21
6.69-l 6.84-l
l.W-1 1.38-l
*.73-2 l .sz-2
2.33*0 2.26*0
4.97-l Q.77-1
1.60-l l&S-l
*.ll7*0 (1.72-o
1.03*0 9.91-t
3.31’1 3.08-l
1.21*0 7.96*0
1.73*0 1.67*0
5.56-l 5.20-l
600 (7.21*2#
7.67-l f.W-1
1.65-l
5.*0-2 +.9@-2
2.60*0 2.59*0
5.69-l 5.46-l
1.03-l 1.70-l
s.fio*o s.*t*o
1.18-O 1.13*0
3.79-l
s&3*9
1.38-l
s.st-1
9.15+0
1.sa*o 1.91*0
6.37-l 5.97-l
660
8.76-l 9.39-I
1.57-l 1.79-1
6.11-Z 5.60-Z
3.owo 2.95+0
6.46-l 6.20-I
2.01-l 1.93-l
6.36+0 6.17*0
1.3Q*0 1.29+0
l .30-1 1.02-I
1.07+1 l.OWl
2.25*0 2.17*0
7.23-i 6.76-l
9.79-l
Z.lS-1 2.01-l
6.65-Z 6.29-7
3.83+0
7.26-l 6.96-l
2.3@-1 2.17-l
7.17*0 6.95+0
1.51*0 1.u*o
l .m-1 e.s2-1
1.20*1 1.17*1
2.seo z.w*o
a.t*-1 7.61-l
l7.71*2) 700
t6.21*2B
9.Q3-1
3.32*0
.__________-------------------AllelE
30.00
l o.00
ENEREY IP e-lo
SO
FlM(
FY.lM
SO
50 11.21*2)
l .13-1 3.97-l
¶.06-2 L.bS-2
2.97-Z 2.71-Z
6.17-l 6.62-l
1.90-l l.u-1
100 11.9W2~
l.ta*O l.19*0
2.67-l 2.56-l
5.69-Z 6.02-2
2.07+0 z.oo*o
150 (2.52.2,
2.31*0 2.23*0
a-96-1 @.76-l
1.60-l l.W-1
200 I3.Os*PI
3.55*0 3.17*0
7.65-l 7.36-l
Z&6-1
250
S&3+0
FYWM
@.05-a
.-----_--------------60.00
50.00
FU.lM
SO
FY)(II
CU.111
SO
FYMI!
FY.1)1
4.90-Z
l.OlW
7.26-2 6.70-Z
3.01-1
9.61-l
2.23-l 2.13-l
1.39*0
@.50-z
1.34*0
2.96-1
1.00-l 9.26-2
1.17-l 6.29-l
1&4-l 1.36-l
3.07*0 2.97*0
6.66-l 6.40-l
2.15-l z.oS-1
l .tt*o l .oR+o
9.23-l 8.88-l
2.9~1 2.784
3.56*0 3.7**0
a.304 7.99-i
2.66-l f.Q9-1
5.73*0 S.SC*O
1.24*0 l.l%+%
Q .00-l 3.73-l
7.m*o 7.6**0
l-72*0 l.CS*O
6.55-1 5.20-l
5.¶9*@ 5.111*0
1.25*0 1.23*0
a.13-1 3.66-l
8.19*0 8.62-O
1.11*1
2.66*0 2.57+0
R&1-1
1.05-0
6.16-I 5.79-l
1.21*1
2.29-l
3.45-l
(IAl*
5.76-l s.ez-1
1.24*1 1.20*1
2.69*0 2.60*0
6.66-l
3.7+*0 3.61*0
1.2040
1.91-o
0.05-l
$3.62*2Z
4.87*0
1.07*0 1.03*0
3.21-l
S.lS*O
L80*0 1.7t*o
6.134
1.70*1 l.CS*l
300 I~.lS*Z)
6.cI*O 6.W+O
l.Zl+O l-36*0
l .51-1 Q.tl-1
1.11-l 1.07*1
2.31+0 2.29*0
7.63-t 7.16-1
1.6@+1 1. SW1
3.55*0 3.43*0
l.ZWO 1.07*0
2.2**1 2.1a*1
4.91*0 l .77*0
1.59*0 l.QS40
350 l1.66*2l
a.u*0 S.lt*O
1.7mo 1.72+0
5.71-l 5.37-l
l.Qo*l
3.00*0 2.90*0
9.66-l 9.07-i
2.07*1 2.01*1
4.90+0 Q.ss*o
l.@WO 1.36*0
2.63*1 2.75*1
C.ZS*O 6.05*0
2.01*0
1.36*1
a00 15.16*21
1.03*1
l.OO+l
2.19+0 2.11*0
7.01-l 6.60-l
1.72+1 1.67+1
3.69*0 3.57*0
l.lWO 1.12*0
2.54*1 2.47*1
5.53*0 5.35-0
1.77*0 1.67+0
3.W*l 3.37*1
7.6%*0 7.w*o
Z&7*0 2.36*0
hS0 l5.69*2)
l.Zl*l 1.20+1
2.63+0 z.se*o
S.@5-1 7.93-1
2.06+X 2.01*1
l&2*0
3.OWl 2.96*1
6.6WO C.-J*0
2.13+0 2.01*0
Q.lI*l 4.03*1
s.tQ*O 9.95*0
2.97-o 2.u*o
500 ‘6.2012,
1.16+1 1.W2.1
3.11*0 3.00*0
9.96-1
2.43*1 2.36+1
5.23*0 S.Ob*O
I.6640
t.sa*o
3.SWl h-6*1
7.m*o 7.59*0
t.sz*o z*sS*o
Q.66*1 l .73*1
1.09*1
9.36-l
l.O!iCl
3.51*0 3.32*S
550 16.70*2I
1.70*1 l.65*1
3.61*0 3.49*0
1.15*0 l.OB*O
Z.SZ*l 2.7Wl
6.09+0 5.59*0
1.95*0 l.l@*O
,.15*1 6.03,1
9.12*0 6.63+a
2.93*0 2.77*0
l.tC*l 1.22*1
u.01*0 3a7*0
600
1.95*1 l.W+1
a.lS*O 4.01-O
1.32*0 1.25*0
3.24*1 3.15+1
6.99*0 6.76*0
2.21*0 2.11*0
4.7Wl Q.St*l
l.OWl 1.01*1
3.36*0 3.15*0
1.15*1 1.*0*1
Q.69*0 *A@*0
17.71*21
2.21*1 2.15+1
4.71*0 @.SS,O
1.51.0 1.e2*0
3.67*1 3.57*1
7.9wo 7.69+0
2.5WO 2.10*0
l.lS*l
3.83*0 3.62*0
l.CS*l 1.60*1
5.3@*0 S.OC*O
700 lB.Zl*t~
2.19*1 z.e2*1
5.31+0 5.1390
1.70*0
4.13+1
4.01*1
1.95+0 6.67+0
2.01*0 2.71*0
1.3Wl 1.29+1
@.Jl*O
1.60*0
l .O(I*O
1.06*1 1.so*1
C.Ol*O 5.70*0
I7.21*21 650
See page 480 for Explanation
Atomic Oato od Nuclwr Data Tdbr,Vol.
1.3e*o
of Tables
15,No. 5,May
1975
508
1.19-1
1.13*0
1.w*o
HUNGERFORD
ar,,~ MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS 5.00
ANGLE ENERGY (P c-a,
SD
THROUGU CS
10.00
FYHM
FY .lM
SD
FYHM
15.00 FY.lY
SO
FYHM
20.00 FY.111
SD
FYWM
FY.llI
so ll.zB*zl
1.10-Z 1.61-2
4.12-3 3.63-3
1.9&-3 1.20-3
5.56-2 5.32-2
1.26-Z 1.21-Z
4.36-3 3.80-3
1.13-l 1.08-I
2.55-2 2.@1-2
6.53-3 7.59-3
1.67-l 1.80-l
@.18-Z 3.97-2
1.38-Z l.ZY-2
100 tl.SQ+Z)
Y.6S-2 Y-62-2
1.12-z 1.05-Z
3.6*-3 3.33-3
1.62-l 1.55-1
3.6,-2 3.15-Z
1.21-2 1.06-Z
3.33-l 3.20-l
7.34-z 6.96-2
2.*1-z 2.19-2
5.56-l 5.36-l
1.21-l 1.15-1
3.97-2 3.62-2
150 12.53+21
6.63-2 6.43-Z
2.01-2 1.90-2
6.79-3 5.91-3
2.99-1 2.67-l
6.61-2 6.28-2
2.16-Z 1.97-2
6.17-l 5.91-l
1.34-l 1.26-l
9.33-z 4.01-Z
1.03*0 9.96-l
2.23-l 2.13-1
7.26-2 6.67-2
200 13.06+21
1.34-l 1.28-l
3.01-Z 2.67-Z
1.01-Z 9.02-3
c1.60-1 Y..Z-1
1.00-l 9.59-2
3.30-2 3.00-Z
9.51-l 9.17-1
2.05-l 1.96-1
6.69-2 6.14-t
2.5SW 1.5**0
3.42-l 3.26-l
1.11-l 1.02-l
250 13.6212)
1.67-l 1.73-1
9.16-2 3.96-2
1.39-2 1.26-Z
6.+3-l 6.19-l
1.39-1 1.33-1
4.57-2 4.17-Z
1.33+0 1.28~0
2.86-l 2.71-l
3.30-2 6.56-Z
2.23+0 Z-16*0
4.78-l b-56-1
l.S&-1 1.43-l
300 11.15+21
2.35-l 2.35-l
5.e5-2 5.17-Z
1.60-Z 1.62-Z
6.a6-1 6.15-l
1.83-1 1.78-l
5.97-2 5.@6-2
1.75+0 1.69*0
3.75-l 3.60-l
1.21-l 1.12-l
2.95*0 2.65+0
6.26-l 6.03-l
2.03-l 1.66-1
350 :11.67+21
3.09-1 2.96-1
6.63-2 6.19-2
2.25-2 2. OJ- 2
1.06+0 1.03+0
2.30-l z.zD-1
7.50-Z 6.86-2
2.22+0 2.19.0
4.7a-1 @.54-l
1.53-l 1.*1-1
3.73+0 3.61+0
7.9e-1 7.63-l
2.56-l 2.37-l
l OO 15.16+21
3.70-l 3.63-l
6.32-2 1.31-z
2.74-t 2.17-Z
1.31+0 1.26+0
2.61-l 2.63-l
9.15-2 8.12-2
2.72+0 2.63+0
s.ao-1 5.57-l
1.67-l 1.73-1
*.59+0 *.a*+0
9.73-l 9.36-1
3.13-l 2.91-l
a50 15.70*2)
,.52-l 9.35-l
9.31-2 S.W-2
3.25-2 2.95-2
1.57+0 1.51+0
3.37-l 3.22-l
1.09-l LOO-1
3.27*0 3.16*0
6.95-1 6.68-L
2.2a-1 2.06-l
5.51+0 s.3*+0
1.16+0 1.12+0
3.75-l 3.50-I
500 16.2012)
5.32-l 5.12-l
1.16-l 1.10-l
3.61-2 3.16-Z
i.as+o 1.79+0
3.96-1 3.79-l
1.28-l 1. m-1
3.66+0 3.73+0
8.18-l 7.117-L
2.63-l 2.*5-l
6.50*0 6.30+0
1.37+0 1.32~0
1.a1-1 *.12-1
550 (6.71+21
6.17-1 S.W-1
1,3+1 1.26-1
4.39-Z a-00-2
2.X5+0 2.06+0
e.59-1 @.40-l
1.48-l 1.37-1
*.esro 4.3wo
9.49-1 3.13-1
3.05-I 2.64-l
7.55+0 7.32+0
1*53*0 1.53*0
5.12-l 4.78-l
600 I7.21+2~
7.07-l 6.01-I
1.53-l 1.46-1
5.01-Z *.56-z
2.17+0 2.36+0
5.25-l 5.02-l
1.63-1 1.57-1
5.15+0 ~.ss+o
l.OB*o 1.04.0
3.50-l 3.26-l
B.67+0 a.*1*0
1.03+0 1.76+0
5.67-l 5.*9-1
650 17.72+21
8.02-l 7.72-l
1.73-f 1.65-1
5.67-Z 5.16-2
2 .I)o*o 2.71+0
5.96-1 5.72-l
1.92-1 1.7(1-1
5.65IO 5.67+0
1.2340 1.1a*o
3.97-1 3.70-l
9.86+0 9.56+0
2.07*0 2.00*0
6.66-l 6.24-l
700 18.22+21
9.02-l 6.69-I
l.Sb1 1.86-l
6.35-2 5.52-z
3.15*0 3.05*0
6.70-l 6.#3-1
2.16-1 2.w-1
6.59+0 6.39*0
1.39*0 1.33*0
1&6-l Q.lC-1
1.11+1 1.07+1
2.34+0 2.25*0
7.50-l 7.02-l
--______
,--------
FY.Ill
so
ANELE CNERBV tP c-n1
SO
50 11.26+21
3.6r)-1 3.63-l
100 ~l.SW21
50.00
eo.00 SO
6.47-t 8.07-2
2.70-Z 2.53-2
6.3S-1 6.15-I
l.W-1 1.31-l
*.50-2 *.20-z
9.*6-1 9.12-1
2.07-L 1.96-1
6.76-2 6.23-2
1.29+0 1.25*0
2.86-l 2.7+1
9.35-2 5.62-Z
1.1a*o 1.10+0
2.68-l 2.37-l
8.06-Z 7.W-2
1.91+0 1.15+0
*.1*-l 3.97-1
1.38-1 1.2+1
2. GWO 2.75+0
6.17-l 5.92-1
1.99-1 1.65-l
3.91+0 3.79*0
6.56-1 6.22-l
2.76-l 2.57-I
1% t2.53+2~
2.13+0 2.06rO
e.59-1 4.40-l
l.w-1 1.37-l
3.57*0 3.e5*0
7.68-1 7.31-l
2.Q1-1 2.30-P
5.30+0 5.1ero
t.1**0 1.16*0
3.6S-1 3.w-1
7.30*0 7.oa*o
l.SWO 1.5340
5.12-l *.7S-1
200 t3.06r21
3.30+0 3.20*0
7.07-1 6.79-1
2.26-l 2.12-1
5.53+0 5.36+0
l.lEaO l.lWO
3.81-1 3.56-l
a.21*0 7.36+0
1.77+0 1.70+0
5.70-L 5.33-l
1.12*1 1.09*1
2.45+0 2.37+0
7.92-1 7.42-l
250 l3.62+2)
W.6*+0 4.*9*0
S.GS-1 9.51-l
3.16-l 2.96-I
7.76+0 7.52+0
L-66*0 1.59*0
5.3w1 9.99-1
1.15+1 1.11*1
2. u*o 2.39+0
T.Sa-1 7&S-1
1.50*1 1.53+1
3.4e*o 3.32+0
1.11+0 LOW0
300 l4.15+21
6.12+0 5.33+0
1.30*0 1.25*0
4.19-l 3.91-l
1.02+1 s.swo
2.lWO 2.11*0
7.03-1 6.59-1
1.51*1 1.e7*1
3.27+0 3.16+0
1.05*u 9.89-1
Z.OWl 2.02~1
*.55*0 Q.3SW
l&6*0 1.37*0
350 1*.67+21
7.76~0 7.52+0
1.6@+0 1.5mo
5.23-l l .95-1
1.29+1 1.2511
2.77*0 2.67-O
O.%-1 6.35-l
1.51*1 l&6*1
*.lQ*o *.00*0
1.33*0 1.25+0
2.62+1 2.55+X
5.76*0 5.57~0
1.85*0 I-IWO
600 15.X6*21
9.53ro 9.2WO
2.02*0 1.95+0
6.@9-1 6.06-l
1.59*1 1.5Wl
3.eo*o 3.26*0
1. oswt 1.02*0
2.35+1 2.2a*1
5.03*0 *.92*0
1.63*0 1.5wo
3.22*1 3.13*1
7.owo 6.65*0
2.28ea 2.15+0
e50 t5.70+21
l.llll l.llrl
2.*2*0 2.3WO
7.79-l 7.30-l
1*91*1 1.05*1
&.08+0 3.9HO
1.31+0 1.23*0
z.a2+1 2.7@*1
6.12+0 5.92+0
l.%,O 1.05*0
3.8W1 3.71+1
a.5o*n 8.23*0
2.73# 2.50*0
so0 t6.20+21
1.35+1 1.31rl
2.66*0 2.76+0
9.18-l 8.61-l
2.25*1 2.10+1
4.(Iz+o 5.6500
1.5a*o l&5+0
3.31*1 3.22+1
7.22*0 6.96+0
2.31*0 2.lWO
l .s2+1 e.e0*1
1.00~1 9.71*0
3.23+0 3.05*0
550 Ib.71*2I
1.56+1 1.5211
3.32+0 3.21+0
1.05+0 1.00*0
Z-61+1 2.53+1
5.60+0 5.*1+0
1.79*0 l.bS*O
3.8Wl 3.7-a
6.39+0 6.12*0
2.69*0 2.5WO
1.16+1 1.12+1
3.75+0 3.55*0
600 17.21+2)
1.79rl 1.74+1
3.01+0 3.61*0
1.22*0 l.lWO
2.99*1 2.91*1
6.43+0 6.22+0
2.06*0 l.SWO
4.*0+1 b.tb*l
9.63+0 9.32*0
3.09.0 2.92*0
1.33*1 1.29+1
*.31*0 4.owo
650 (7.72121
2.Okel l.%+l
l .33*0 *.19+0
1.3a*o t.30+0
3.3941 3.30*1
7.31+0 7.07+0
2.34*0 2.21*0
l .9sr1 e.05+1
1.03*1 I.0641
3.51*0 3.32*0
1.12+1 1.4791
a.%+0 4.64*0
700 $8.22121
2.10+1 Z-23+1
b.BB+O b-72+0
l.S6+0 3.e7+0
3.a1*1 3.71*x
6.23+0 7.97+0
2. LI*O 2.49+0
1.23*1 1.19*1
3.95*0 3.75*0
1.71*1 l-66+1
5.52*0 5.23+0
FYHII
FL 1I
59
FUN,,
60.00
FU.ltl
See page 480 for Explanation
FYYN
--------
_--_-___
30 .oo
FUHM
F&II4
of Tables
509
Atomic Ddo and Nucle.ar Data Tables, Vol. 15, No. 5, May 1973
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS
5.00
ANGLE CNERQV IP c-)0
SO
50 l1.2W2)
1.46-2 1.38-2
3.63-3 3.37-3
1.30-3 1.01-3
4.73-2 Q.50-2
100 ll.SI*Zl
4.09-2 3.89-2
3.10-3 9.07-3
3.35-3 2.65-3
150 l2.53+21
7.90-2 7.05-2
1.71-2 1.61-2
200 13.08+21
1.12-l 1.07-l
250 13.62+2)
20.00
3. u-3 3.21-3
9.51-2 9.10-2
2.18-2 2.05-2
7.36-3 6.*7-3
1.51-l
1.50-l
3.55-2 3.36-2
1:u-2 1.05-Z
1.36-l 1.30-l
3.08-2
1.03-Z 9.15-3
2.17-1 2.66-l
6.17-P 5.86-2
2.04-2 1.83-Z
4.62-l *.q3-1
1.01-l
2.91-z
9.68-2
3.34-t 3.03-Z
5.83-3 5.06-3
2.b8-1 2.38-l
5.55-2 5.26-2
,.a*-2 1.65-2
5. IO-1 *.90-I
1.12-l
3.66-Z 3.3+2
8.53-l 8.21-l
1.85-l 1.71-1
6.07-2 5.5e-2
2.51-2 2.*2-2
8.66-3 7.61-3
3.81-l 3.65-l
8.92-2 8.00-2
2.18-2 2.50-2
7.85-l 7.55-l
1.10-1 1.63-l
5.59-2 5.10-2
1.31*0 1.26+0
2.03-l 2.11-l
9.21-Z 8.66-2
1.55-l l-.48-1
3.52-2 3.33-2
1.18-2 l.D@-2
5.30-L 5.10-l
1.16-l 1.10-I
3.63-2 3.5-l-2
1.09+0 1.05*0
2.37-l 2.26-l
7.7@-2 7.03-2
1.83a 1.17+0
3.95-l 3.18-1
1.28-l l.lP1
300 14.15+21
2.03-l 1.95-l
@.57-2 4.33-2
1.52-2 1.36-2
6.97-1
1.52-l 1.45-l
1.98-2 4.53-2
I.*@+0
3.11-1
1.39+0
2.97-1
1.01-l 9.29-2
2.42*0 2.33+0
5.10-l
6.10-l
l .97-1
1.68-l 1.55-I
350 811.67.21
2.96-I 2&5-l
5.11-2 5.92-t
1.90-2 1.70-2
6.80-l a.~?-1
1.91-l 1.82-l
6.25-2 5.70-2
1.n2*0 1.16+0
3.31-l 3.75-l
1.27-l 1.17-l
3.06+0 2.36*0
6.54-l 6.27-l
2.11-l 1.95-l
e00 15.19*21
3.13-l 3.00-l
6.95-2
6.59-2
2.30-2 2.06-2
1.07+0 l.o3*D
2.33-l 2.22-l
1.61-2 6.36-2
2.23+0 2.16+0
@.ls-1 6.59-l
1.55-1 x.*3-1
3.16iO 3.63*0
0.01-l 7.69-l
2.58-l 2.39-l
*so t&70*2)
3.11-l
0.21-2 7.66-2
2.13-2 2.46-2
1.29+0
9.06-2 8.32-2
2.6WO 2.59+0
5.13-l 5.49-l
1.05-1 1.71-l
9.59-1
1.2e+o
2.78-l 2.66-l
*.a*0
3.59-l
N.36+0
9.22-l
3.09-i 2.87-l
4.%-l @.22-l
9.68-P 9.20-Z
3.;S-2 2.66-2
l.SZ~O l-46+0
3.27-l 3.13-l
1.06-l
3.X6*0 3.05*0
5.78-1 6&6-l
2.17-1 2.01-l
5.32*0 5.15+0
1.12+0
t6.21*2)
1.oa*o
3.53-l 3.38-l
550 l6.72*21
5.03-l @.69-l
1.11-L
3.68-Z 3.33-2
1.16*0 l.lo+o
3.16-1 3.62-l
1.23-1
1.06-l
1.13-l
3.6710 3.55+0
7.81-l 1.50-i
2.52-1 2.33-l
6.18+0 5.9R~O
1.31*0 1.26*0
4.21-l 3.32-l
600 17.23+21
5.82-l 5.60-l
1.21-l 1.21-I
4.19-2 3.80-2
z.ot+o 1.95*0
9.33-l *.15-l
1.-o-1 1.23-l
u. 21+0 0.07*0
a. 95-l 6.60-l
2.(1(1-l 2.56-l
7.09*0 6.8710
1.30*0 l.*WO
*.63-l 8.50-l
650 l7.73+21
6.60-l 6.35-l
l.W-1
U.lJ-2 W.30-2
2.29+0 2.21+0
*.91-1
1.59-l 1.46-l
b. TWO *.53w
l.oI*o 9.75-1
3.21-l 3.01-l
0.05*0
@.70-l
?.81*0
1.10+0 1.6WO
5.W-1 5.11-l
700 ~6.23+21
7.42-l 7.14-l
1.61-l
5.30-2 4.62-2
2.51*0 2.ea+o
5.52-l 5.29-l
1.70-1 1.65-l
5.39*0 5.21*0
1.11+0 1.09+0
3.57-1 3.*2-l
s.oa*o o.ao+o
1.91*0 1.m*o
6.16-l 5.75-l
AWLE
9.76-2
FUHt4
FU.lN
1.11-Z 1.01-2
1.5Q-I
CD
15.00 SD
1.37-L
FU.11
FYHW
FY.ltl
500
FYWH
THROUI~H HF
10.00
1.06-l
SD
FYWtl
FY.lM
50.00
30.00
50
3.21-l 3.08-l
7.1@-2 5.73-2
2.36-2 2.13-Z
5.33-l 5.12-l
1.17-l 1.12-l
3.87-t 3.52-2
7.19-l 7.59-l
1.7+-l 1.65-l
5.70-Z 5.21-Z
l.OWO
lI.LB+Z)
l.OWO
2.40-l 2.29-l
7&b-2 7.20-Z
100 11.9*+21
9.50-l 9.15-l
2.07-l
6.76-2 6.19-Z
1.50+0 1.53*0
3.14-l 3.291
1.12-I 1.03-l
2.35rO 2.27*0
5.11-l e.sO-1
1.56-l 1.53-l
3.2wo 3.13+0
1.07-l 6.73-l
2.29-l
1.31-1
150 lt.SS*Zt
1.75*0 l.tO+O
3.80-l 3.6+1
1.23-l 1.13-l
2.9~~0 2.awo
5.3&l 6.09-l
2.05-l 1.90-L
l .37+0 4.23+0
3.~54 9.08-l
3.05-l 2.86-1
6.03*0 5.m•0
1.31*0 1.25*0
6.23-l 3.~1
200 $3.08*21
2.72*0 2.62*0
5.63-l 5.60-l
1.69-l 1.76-l
1.55+0 l .eo+o
9.76-1 3.361
3.15-l 2.93-l
6.76ro 6.55*0
1.15*0 l.*O*O
4.70-l l .38-1
3.32~0 9.01*0
2.02*0 1.9*0
5.52-l 6.09-f
250 (3.62*2)
3.8x*0 3.68*0
LI.ie-1
2.63-l z.w-1
6.37+0 6.17*0
l-36*0 x.31*0
e&O-l *.10-t
S&R+0
1.62-l
9.19*0
2.03*0 t.a6*0
6.57-l 6.LI-1
1.30*1 A.ZC*l
Z.@WO 2.73rO
a .12-l 8.%-l
300 lb.l5*2)
5.02*0 @.86+0
1.03*0
3.*5-1 3.21-l
6.*lro a.15+0
1.79+0 1.73+0
5.70-1 5.60-l
l-25+1 1.21+1
2.66+0 2.59+0
0.65-l 6.10-l
1.71*1 1.66*1
3.73*0 3.50+0
LZWO 1.12+0
350 46.67rZl
6.36+0 6.16+0
1.35+0 1.30+0
l .36-1 4.06-l
1.06+1 1.03*1
2.27*0 2.19+0
1.31-1 6.63-l
1.5a*1
s.ea*o f.ZWO
l.Oa+O
l.SS*l
1.02*0
2.17+1 2.10+1
4.72*0 l .56+0
1.52*0 l&240
a00 15.19r21
?.Bl*o 7.57*0
1.66+0 1.59*0
5.3*-1 1.98-1
I.3011 1.26cl
2.79*0 2.63*0
‘.%6-l 9.39-1
1.93+1 1.58*1
l .17*0 4.03*0
1.3WO 1.26+0
2.65*1 2.50*1
5.to+o 5.60*0
l.OWO 1.75+0
150 t5.70~21
9.37*0 9.09~0
1.99*0 1.91+0
6.40-l 5.98-l
1.5691 1.52*1
3.3ero l-23*0
1.07*0 1.00*0
2.32*1 2.29+1
5.01+0 *.m*o
1.51+0 1.51*0
3.10*1 3.09*1
6.%6*0 6.73+0
2.2wo 2.11*0
500 15.21*2)
1.10+1
1.07+1
2.3WO 2.26+0
7.53-l 7.01-l
l.GWl 1.79*1
3.swo 3.91+0
l-26*0 1.18+0
2.73+1 2.65*1
5.90+0 5.71*0
LOS*0 1.18+0
a.21*0 7.9wo
t.CI*O t.*S+o
550 16.1212)
1.28+1 l.Zi)+l
2.72+0 2.62*0
8.7@-1 8.26-l
Z.lWl 2.01)+1
l .SWO Q.*z*o
1.e7*0 1.38*0
3.17*1 3.08+1
c.%*o 5.63*0
z.zo*a 2.07*0
4.33*1 9.21*1
9.5**0 9.23*0
3.07*0 Z.&S+0
600 1?.23+2Y
1.47*1 1.*3+1
3.12+0 3.01ro
1.00*0 3.39-l
2.45+1 2.36+1
5.26+0 s.owo
1.6640 1.51)*0
3.63*1 3.53+1
7.17-O 7.52+0
Z&3*0 2.3110
4.95*1 l .I)2+1
1.09+1 1.05*1
3.52*0 3.32*0
650 17.13+2)
1.67+1 1.62*1
3.5*+0 3.@2+0
1.13+0 1.os+o
2.79*1 2.71+1
5.97ro 5.77*0
1.91+0 1.ao*o
e.11*1 hOO+l
#.SS*O 1).66*0
Z.Bl+O 2.71*0
1.2Wl 1.20*1
4.00*0 3.7mo
700 l8.23+2)
1.8811 1.82Cl
3.99*0 3.05+0
1.2wo 1.20+0
3.1**1 3.05*1
6.73+0 6.50*0
2.15*0 t.OJ*O
1.62el l .50+1
l.OO*l
3.23+0 3.05*0
1.ao+1 1.35+1
e.51*0 4.26*0
of Tables
Atomic Data ond Nuclear Data Tables, Vol. 15, No. 5, May 1975
510
SD
FYkM
9.75+0
FY.lN
FY.11)
FWHN
See page 480 for Explanation
FY.lM
SD
SO
1.01+0
FY.111
SD
ENERGY IP C-Ml
2.124
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm”) vs. Angular Spread (in mrad) PIONS lNDLE
5.00
THROCOH A”
10.00
FUHH
FUHII
15.00 FY.lC(
20.00 FY.lN
SO
50 ll.ZBtZl
1.39-2 1.31-2
3.43-3 3.22-3
1.26-3 9.96-U
8.47-2 4.21-2
l-05-2 9.a6-3
3.64-3 3.11-3
8.93-2 8.57-2
2.07-2 1.96-2
7.01-3 6.13-3
1.48-i l-al-1
3.36-2 3.17-2
l-12-2 9.99-3
100 11.94121
3.06-2 3.66-2
9.22-3 8.61-3
3.20-3 2.70-3
1.27-l 1.22-1
2.91-2 2.7#-2
9.81-3 8.64-3
2.60-l 2.49-l
5.81-2 5.51-2
1.93-2 1.73-2
9.32-l a.151
9.56-2 9.09-2
3.15-2 2.85-2
150 l2.53+21
6.96-2 6.62-2
1.62-2 1.52-Z
5.54-3 4.79-3
2.33-l 2.23-l
5.22-2 1.95-2
1.71-2 1.55-2
9.77-l 9.59-l
1.05-l 1.00-l
3.47-2 3.14-2
1.97-l 7.67-l
1.74-t l-66-1
5.70-2 5.19-2
200 l3.09*2)
1.05-l 1.00-l
2.92-Z 2.28-Z
8.21-3 7.18-3
3.56-l 3.42-l
7.91-2 7.51-2
2.62-2 2.35-2
7.33-l 7.05-l
1.60-l 1.52-l
5.25-2 k-78-2
1.22*0
t.ta+o
2.66-l t.sq-I
8.67-2 7.99-t
250 13.62+21
1.46-l 1.39-I
3.32-2 3.13-2
1.11-Z 9.85-3
*.96-1 4.76-l
1.09-l l-O@-1
3.60-2 3.25-2
1.02+0 9.86-l
2.22-l 2.12-l
7.26-2 h-S+-2
1.71*0 l-65+0
3.69-1 3.53-l
1.20-1 1.10-L
300 14.15+21
1.91-1 1.82-1
4.31-2 5.07-2
1.44-2 1.27-2
6.51-1 6.26-l
1.42-1 1.35-I
q-68-2 ..25-2
1.34+0 l-29+0
2.91-1 2.78-l
9.49-2 8.69-2
2.26+0 2.ia+o
1.85-l 1.64-l
1.57-l 1 .qs-1
350 14.68121
2.33-l 2.23-l
5.36-2 5.09-2
1.79-2 1.59-2
4.22-l 7.91-1
1.79-l 1.70-l
5.87-2 5.34-2
1.70+0 1.stro
3.66-l 3.50-l
1.19-l 1.09-l
t-85+0 2.76*0
6.11-l 5.86-l
1.98-l 1.82-l
'400 15.19*2)
2.93-1 2.80-I
6.53-2 6.19-2
2.17-2 1.94-2
1.00a 9.69-l
2.18-1 2.08-l
7.14-2 6.52-2
2.00+0 2.01*0
*.+a-1 4.29-f
1.45-1 1.33-l
3.50+0 3.33*0
7.48-l 7.18-L
2.42-l 2.24-l
950 15.70+21
3.30-l 3.35-l
7.77-z 7.37-2
2.57-2 2.31-2
:.zo+o l-16*0
2.61-l f.b9-1
8.51-2 7.79-2
Z-50+0 2.41*0
5.35-a 5.13-l
1.73-l 1.60-l
4.20*0 4.07*0
8.96-l 8.60-l
2.89-l 2.68-l
500 t6.22127
9.11-l 3.9q-1
9.03-2 8.63-2
3.00-2 2.70-2
1.42+0 1.36*0
3.06-l 2.92-l
9.97-2 9.15-2
2.9**0 2.04+0
6.29-l 6.04-I
2.03-l 1.851
1.95+0 4.79+0
1.05+0 1.01+0
3.40-l 3.15-1
550 :6.72+21
4.76-l ,.57-l
l.O@-I 9.97-2
3.46-2 S-12-2
1.64+0 1.58+0
3.51)-l 3.39-l
1.15-l l-05-1
3.42+0 3.31+0
1.30-l 7.00-l
2.36-1 2.18-1
5.76*0 5.57ro
1.22+0 1.17*0
3.94-l 3.66-l
600 17.23+2)
5.**-1 5.23-l
1.19-l 1.13-l
3.94-2 3.56-2
l.GG*o l-82+0
4.05-l 3.88-l
1.31-I l-21-1
3.9200 3.75*0
8.36-l 8.02-l
2.70-l 2.50-1
S-61*0 6.@0*0
1.*0*0 1.34+0
Q-51-1 4.20-l
650 l7.7Sb27
6.17-1 5.93-l
1.35-1 1.28-l
4.44-2 4.03-2
2.1400 2.06*0
4.59-1 4.39-l
l.@S-1 1.37-1
4.46+0 4.31+0
9.48-1 9.10-l
3.05-l 2.83-l
7.50*0 I-27+0
x.59*0 1.53*0
5.11-l 4.76-l
700 18.2c+2~
6.93-l 6.66-l
X.51-1 1.44-1
e-97-2 4.52-2
2.41*0 2.32*0
5.15-l q-w-1
1.67-X I.%-1
s.oz*o I. 86*0
l-06*0 1.02*0
3.43-1 3.19-1
8.45,0 a.19*0
1.78+0 l-72+0
5.75-l 5.36-l
4UGLE
__---_--
.--- --___
30.00 SO
FWN
50.00 FM. 1N
FY -111
--m-_-e_
10.00 FY. ltl
FYWN
so
FYWN
60.00
ENERQY IP C-N,
SD
50 l1.28*21
3.01-l 2.83-l
6.73-2 6.39-2
2.23-2 2.00-2
LLISO-1 @.80-l
l-m-1 1.05-l
3.65-t 3.31-2
7.39-l 7.12-l
1.63-l 1.56-l
5.37-2 4.90-t
l-01*0 9.80-l
2.28-l 2.15-l
7.38-2 6.?6-2
100 t1.94+21
8.89-1 8.56-l
1.94-l 1.85-L
6.36-2 5.80-2
l-48*0 X.,3.0
5.22-l 3.08-l
1.05-x 9.66-2
2*20*0 2.12*0
Q-79-1 4.59-l
1.55-l 1.43-l
J-03+0 2.93+0
5.62-l 6.3f-1
2.15-l 1.90-l
1SQ 12.53*21
1.64rO 1.6810
3.56-l 3.40-l
1.15-l 1.06-l
2.75W 2.6500
5.93-l 5.59-l
1.92-1 1.77-l
4.09*0 3.95*0
8.83-L 8.49-l
2.86-1 2.65-l
5.53*0 5.490
1.22*0 1.17*0
3.96-l 3.68-l
208 t3.09*2#
P.I3+0 t-45+0
5.46-1 5.23-t
1.77-l 1.63-1
4.24+0 e-10*0
9.12-l 8.76-l
2.95-l 2.73-l
6.31+0 6.11*0
l-36*0 1.30*0
4.3%-l 4.0¶-1
8.71+0 8.44*0
1.88+0 l-81+0
LOO-1 5.68-l
250 13.62+21
3.65,O 3.@3rO
7.61-1 7.30-l
2.46-l 2.28-l
5.95.0 5.76+0
L.27*0 1.22*0
4.11-L 3.82-l
8.84W 8.57+0
1.%0*0 1.8-O
6.13-l 5.72-l
x.21+1 1.18*1
2.64*0 Z-54*0
8.Sl-1 7.)6-l
300 14.15+2)
4.68~0 4.53+0
1.00*0 9.61-1
3.23-l 3.00-r
7.84*0 7.60+0
l-67*0 l-61+0
5.48-l 5.04-l
l-16*1 x.13*1
z-m*0 2.91*0
8.07-l 7.55-l
l-60*1 1.55*1
3.48+0 3.3s*o
l.li?+O 1.05*0
350 (9.68121
s-93*0 5.74*0
l-26*0 1.21*0
4.07-l 3.79-1
9.92+0 9.62+0
z-12+0 2.04+0
6.82-1 6.37-l
b47Pl 1.43*1
3.L7W 3.05*0
t.m*o 9 -65-l
2.02+~ 1.96+1
4.40*0 4.2SW
x.4140 1.33*0
400 fs.l3+2l
7.28.0 7.05ro
1.5*+0 1.45+0
1.99-1 6.65-l
1.21+1 X.18.2
2.60*0 2.50*0
8.36-l 7.82-l
l-80+1 1.75+1
3.a9*0 3.75*0
1.25*0 1.17*0
2.48*1 2.41*1
S-40*0 S-22+0
1.74*0 l&W0
OS0 t5.70+27
8.74.0 8.46*0
l-85+0 1.74+0
5.97-l 5.57-l
l-46+1 1.41*1
3.12*0 3.01*0
l.QmO 9.39-1
2.16+1 2.10*1
e.57*1 4.6X*0
1.10+0 1.41*0
2.97*1 2.8%*1
c.4*0 6.27+0
L&o+0 I.%*0
500 16.22*21
l-03+1 9.9BeO
2.18*0 2.10+0
7.03-l 6.57-l
l-72+1 l-67+1
3.67*0 3.54+0
l-18*0 1.10+0
2.55+1 2.47+1
s.sn+o 5.3140
l-76+0 1.66rO
3.49*1 3.4091
I.bS*O 7.3%*0
2.4mo 2.31+0
550 16.72+21
i.ia+i X.16.1
2.53+0 2.44+0
8.15-l 7.63-l
2.00*1 1.94*1
q.27+0 s.12*0
1.37+0 l-28*0
z-95*1 2.87*X
6.39*0 6.18*0
2.05*0 1.93*0
-OS*1 3.94*1
8.8%*0 8.5¶+0
2.8wo 2.69*0
600 ‘7.23+2)
l-37+1 l-33+1
2.*1*0 2.00+0
9.35-l 8.75-l
2.29*x 2.22*1
l .90+0 4.73+0
1.57*0 t.47*0
3.3%., 3.29*1
7.33-o 7.09*0
2.35*0 2.22+0
4.63+1 4.61-l
3.02+1 9.87*0
3.28*0 3.09+0
650 t7.73+21
l-55.1 1.51+1
3.30+0 3.19*0
1.05+0 9.94-l
2.60*1 2.5211
S-56+0 5.37*0
l-78*0 l-67+0
3.8..1 3.73*1
8.33+0 8.06+0
L-67*0 2.52+0
l.l!%l 1.12*1
3.73*0 3.62+0
700 ta.zq*zI
1.75.1 1.70+1
3.72*0 3.59+0
1.19*0 1.12+0
2.92+1 2.84*1
6.27+0 6.05*0
2.01*0 l-89*0
4.32*1 .-to*1
9.38+0 9.08.0
3.01*0 2.84*0
1.30*1 l-26*1
4.20~0 3.95*0
See page 480 for Explanation
FURlI
so
FUHN
SD
,---_---_
FU .lM
SO
ENERGY IP c-n1
FY.lN
so
FYHN
FV.lR
of Tables
511
Atomic Data and Nvchr
Doto Tables, Vol. 15. No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thick~ness (in g/cm2) vs. Angular Spread (in mrad) PIONS ANGLE
5.00
ENERGY fP c-Nl
SD
50 Il.28121
1.37-2 1.23-2
3.17-3 3.21-3
100 ,1.94+2,
3.82-2 3.62-2
150 fi.53+2)
THROUGH PB
10.00 FY.lW
15.00
FYtfIf
FY.ltl
SO
1.26-3 3.84-4
4.41-2 4.13-2
l.Oe-2 9.79-3
3.62-3 3.08-3
8.67-2 8.*6-2
2.04-t 1.92-2
6.95-3 6.06-3
l.W6-1 1.39-l
3.32-2 l.ll)-2
1.11-2 S.OG-3
9.14-3 8.53-3
3.18-3 2.68-3
1.26-l 1.20-l
2.88-2 2.71-2
9.71-3 8.59-3
2.56-l 2.*5-l
5.74-2 5.46-Z
1.31-z 1.70-2
l .26-1 4.03-l
9.1+2 0.97-2
3.11-P 2.81-Z
6.87-2 6.53-2
1.60-Z 1.50-2
5.50-3 4.74-3
2.23-1 2.20-l
5.16-2 &.B6-2
l-72-2 1.53-2
9.70-l 4.52-1
1.03-L 9.68-2
3.e2-2 3.09-2
7.95-l 7.55-l
1.71-l 1.63-l
5.63-2 5.12-Z
200 13.09+21
1.04-l 9.93-2
2.39-2 2.25-2
8.13-3 7.10-3
3.51-l 3.36-l
7.31-2 7.Pl-2
2.58-2 2.32-2
7.22-l 6.96-1
1.58-1 1.50-l
5.18-t @./l-Z
1.20*0 l.L6+0
2.62-l 2.50-l
8.55-P 7.82-Z
250 13.62r2)
1.44-l 1.37-1
3.28-P 3.09-Z
1.10-Z 9.73-3
4.88-l 9.63-1
1.07-l 1.02-l
3.55-2 3.21-t
1. oo*o 9.70-1
2.19-1 2.09-l
7.16-Z 6.56-Z
f.SWO 1.62*0
3.64-l 3.45-1
1.18-l 1.06-1
300 iY.l5*21
1.88-1 1.73-1
*.25-2 4.02-t
1.42-2 1.26-2
6.111-l 6.16-1
1.40-l 1.33-l
4.62-t 4.19-Z
1.32*0 1.27+0
2.86-l 2.74-l
9.35-Z 8.56-Z
2.22+0 2.11*0
1.77-l Q.57-1
1.55-l 1.42-l
350 l&.68+21
2.36-l 2.26-l
5.31-2 5.02-Z
1.77-2 1.57-2
8.03-l 7.70-l
1.76-l 1.68-l
5.70-2 5.26-2
1.67+0 1.61+0
3.60-l 3.*5-1
1.17-1 1.07-l
2.01+0 2.71*0
6.01-l 5.76-l
1.95-l 1.80-l
400 15.19+2l
2.88-l 2.76-l
6.#4-2 6.11-2
2.1*-2 1.91-2
9.90-l 5.53-1
2.15-l 2.05-l
7.01-2 S.e2-2
2.05+0 1,9a*o
4.*1-t 4.22-l
1.43-i 1.31-l
3.w+o 3.33+0
7.36-l 7.06-l
2.30-l 2.20-l
450 (5.71+21
3.4e1 3.30-l
7.66-2 7.27-2
2.51-P 2.28-2
1.1t3+0 1.1*+0
2.57-1 2.65-l
a. 39-2 7.67-2
2.46+0 2.37+0
5.27-l 5.05-l
1.71-l 1.57-l
l .13+0 ~.OO~O
6.81-1 5.*6-1
2.6@-1 2.66-l
500 16.2212)
4.04-l 3.85-1
8.97-2 0.51-2
2.96-2 2.66-2
1.33+0 1.3e*o
3.01-l 2.88-l
9.83-2 9.01-2
2.90*0 2.5oe
6.20-Z 5.9*-1
2.09-L 1.85-l
*.67*R u.71+0
1.113*0 9.96-l
3.36-l 3.10-l
550 l6.72*21
1.68-l 4.49-l
1.03-l 9.83-2
3.41-2 LOB-2
1.62*0 1.56+0
3.49-l 3.33-l
1.13-1 1.04-l
3.36*0 3.25+0
7.18-l 6.09-1
2.32-l Z.lb-1
5.66+0 5.*a+o
1.20*0 1.15*0
3.97-l 3.60-l
600 f?*23*2l
5.36-l S.lY-1
1.18-l 1.12-l
3.08-t 3.51-Z
,.a5+0 1.79+0
3.93-l 3.82-L
1.29-1 1.19-l
3.(16+0 3.73*0
&22-i 7.83-l
2.65-l 2.86-l
6.49*0 6.23*0
1.37*0 1.32*0
4 .a+1 4.13-l
650 17.73*21
6.07-I 5.83-l
1.33-l 1.26-1
b.38-2 3.97-2
2.10*0 2.03+0
4.52-l @.32-l
1.46-l 1.35-l
k.JWO a.21+0
9.32-l B.96-1
3.01-l 2.79-l
7.33+0 7.14+0
1.56+0 1.50*0
5.03-l I .6S-1
700 t5.211+21
6.82-l 6.56-l
1.85-1 1.42-l
4.91-2 4.45-2
2.37+0 2.2840
5.07-l 1.06-1
l.%-1 1.51-l
4.93*0 4.77+0
1.04+0 i.ama
3.38-1 3.1,-1
5.31+0 5.05*0
x.75+0 1.6%*0
5.65-l 5.27-l
SO
FWM
------
--_ ._------_
ANBLE
.------_
.-------
FYWM
20.00
SO
----
FYHH
FY.lH
SO
FYYN
FU.11
_________--_------_-----------------------------
30.00
40.00
50.00
60.00
FV.lW
so
6.65-2 6.31-Z
2.20-2 1. se-2
4.93-l 6.73-1
1.03-l l.OC1
3.61-2 3.27-2
7.23-1 7.01-l
1.61-1 l.H-1
5.31-2 1.03-P
1.00*0 9.65-l
2.22-l 2.12-l
7.28-2 6 46-Z
8.75-l 5.*2-1
1.91-l 1.82-1
6.27-2 5.72-2
1.*6*0 1.*0+0
3.17-l 3.01-l
1.03-i 9.51-2
2.16*0 2.09*0
6.71-l 6.52-l
1.53-l l.U-1
z.m*o 2.m*o
6.52-l 6.25-l
2.11-l 1.%-l
150 l2.53+2)
I.6240 1.56+0
3.50-l 3.35-l
1.1*-1 1.01-l
2.7010 2.61+0
5.m-1 5.60.1
l.BS-1 1.15-l
e.azuJ 3.wa
6.63-l 0.35-l
Z.Bl-1 2.61-t
5.5**0 5.37*0
1.2010 1.15*0
3.89-l 3.62-l
200 13.09*21
2.15*0 2.*1+0
5.37-l 5.15-l
1.74-l 1.60-l
Q.lT+O *.o*+o
8.30-1 0.62-l
2.90-l 2.69-l
6.21+0 6.01+0
1.3-o i.zma
k.32-1 6.02-l
B.56*0 B.3WO
1..5*0 1.7wo
5.99-1 5.66-l
250 f3.62+21
3.49*0 3.3740
7.#9-1 7.19-1
2.*2-1 2.20-L
5.6540 5.66CO
1.25+0 l.za+o
l .oe-1 3.76-l
8.7O+a 8.*3*a
1.07*0 l.atwO
6.03-l 5.63-l
1.13*1 1.1641
2.5wa 2.60*0
6.31-l 7.63-l
300 4.6040 16.15*2 1 4.@5*0
9.85-1 9.46-1
3.18-l 2.95-1
7.71+0 7.*7+0
1.65+0 1.5B+a
5.32-l Q.95-1
l.lWl 1.11+1
Z&6*0 2.37+0
7.96-1 7.62-l
1.5711 1.53*1
3.42*0 3.30+0
l.lWO 1.03*0
350 fS.68+2)
5.83,0 5.51rO
1.2*+0 1.19+0
4.01-l 3.72-l
9.76+0 9.*5*0
z.oo+a 2.00*0
6.71-3 6.27-l
1.@5*1 i.4a*i
3.11*0 3.owa
l.OWO 9.39-l
1.99*1 1.33*1
l .33+0 u.17*0
1.39*0 ia+a
400 l5.19+21
7.1540 6.93+0
1.52+0 1.#6+0
a .91-l 8.57-l
1.19*1 1.16+1
2.55*0 2.46*0
8.23-l 7.69-l
1.77*x 1.72+X
3.a2+0 3.69*0
1.2340 1.15*0
Z.WWl 2.37+1
5.31*0 5.13+0
1.71+0 l.M~O
l 50 B.5WO I5.71+2 I B. 32+0
1.52*0 1.75*0
5.60-1 5.18-l
1.e3+1 1.39*1
3.06*0 2.95+0
9.56-l 9.23-l
2.13*1 t.a7*i
4.53*0 6.63*0
1.*7*0 1.30*0
2.92*1 2.8Wl
6.36*0 S.lCcO
z.os+o 1.93eo
500 t6.22+21
1.01.1 3.61*0
2.15+0 2.07*0
6.91-1 6.66-l
l-63*1 1.64+1
3.6110 3.*mo
1.1690 r.lu*o
2.50+1 2.,3+X
5.*1+0 5.22+a
1.73*0 l-63*0
3.***1 3.3**1
7.52*0 7.27*0
2.42*0 2.21m
550 #6.72+2J
1.17+1 1.14+1
z.es+o 2.*0+0
8.02-l 7.56-l
1.96+1 1.90+1
*.20*0 *.05*0
L.34.0 1.26-
2.31+1 2.62*1
S.ZB*O 6.07W
2.02+0 l.BS+O
3.95*1 3.87*1
8.73+a 8.%*0
2.61*0 2.Heo
600 17.23*21
1.3e*l 1.30+1
2.06+0 2.76*0
9.19-1 5.60-1
2.25+1 z-18*1
4.51+0 @.65*0
1.5wo l.#S,O
3.33*1 3.2Wl
7.2i+a 6.97*0
Z.Jl+O 2.16*0
l .56*1 4.43*1
1.00*1 9.69+0
3.22*0 3.OIea
650 f 7.73*21
1.53*1 1.48bl
3.25+0 3.13ro
1.04*0 9.77-1
2.55*1 P.eB+l
5.a7+a 5.21*0
1.75*0 1.65*0
3.71*1 3.6711
2.63*0 z.eo*o
1.13*1 1.10*1
3.66*0 3.66+O
700 #8.24+2)
1.72*1 1.6711
3.66+0 3.53*0
1.17*0 1.10*0
2.07+1 .?.79+1
6.16+0 5.95*0
1.97+0 1.05+0
* .2@+1 *. 13*1
2.9600 2.79*0
l.ZWl 1.24*1
4.13*0 3.Bwa
ENERGV tP C-WI
SO
50 ,1.28+2,
2.37-l 2.55-l
100 ll.s4*2~
See page 480 for Explanation
FYHM
FYiiff
FY.11
50
FYlfM
FU.lM
FU.UI
of Tables
Atomic Data ad Nvclwr Data Table,, Vol. 15, No. 5, May 1975
512
Atomic
Data and Nuclear Data Table%,Vol. 15, No. 5, May 1975
DATA AND NUCLEAR
DATA TABLES 15,477-5 12 (1975)
TARGET-THICKNESS-ANGULAR-SPREAD FOR PROTON
AND
E. V. HUNGERFORD Department
PION
TABLES BEAMS
and B. W. MAYES
of Physics, University of Houston Houston, Texas 77004
When passing through materials, a parallel beam of charged particles is given an angular divergence by multiple Coulomb scattering processes. Convenient measures of the spreading of the scattered beam are given by the standard-deviation angle, the full-width-half-maximum angle, and the full-width-tenth-maximum angle. These tables present the thicknesses of materials that produce these three angular spreadings in the range 5 to 60 mrad. Values are given for protons with energies between 200 and 850 MeV and for pions with energies between 50 and 700 MeV. Steps of 50 MeV are employed in both cases. The target materials are He, C, Al, Ar, Ca, Fe, Zn, Ge, Kr, Zr, Ag, Cs, Hf, Au, and Pb. The tabulated values were computed from Moliere theory with constants chosen to fit experimental data. Suggestions for interpolation in Z, A, particle energy, and angle are given.
Copyright @ 1975 by Academic Press, Inc. All rights of reproduction in any form reserved.
477
Atomic Data ad Nuclear Data Tdss, Vol. IS, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
CONTENTS
INTRODUCTION....................................................... Moliere Theory EXPLANATION Interpolation
478
OF TABLES . . . . . _ . . . . . . . . . . . . . . . . . . . . ; . . . . . . . . . . . . . . . . . . . 480
TABLE I. Target Thickness vs. Angular Spread for Protons . . . . . . . . . . . . . . . . . . . . . . . . . 483 Ep = 200 (50)850 MeV TABLE II. Target Thickness vs. Angular ET= 50 (50)700 MeV
Spread for Pions . . . . . . . . . . . . . . . . . . . . . . . . . . 498
Targets for Both Protons and Pions He Ar Zn Zr Hf C Ca Ge Ag Au Al Fe Kr Cs Pb
The Moliere theory expresses the distribution functions F(B,+,t) and f(t9,,#) as an infinite sum of terms with the Nth term representing N scatterings of the projectile as it passes through the material.4 The following approximations are made: (a) sin B = e; c0s 8 = 1, (b) Thomas-Fermi screening by atomic electrons, (c) No spin effects or target crystal structure (no dependence on $), (d) No scattering by atomic electrons, (e) All scattering due to the Coulomb force.
INTRODUCTION
Coulomb small-angle multiple scattering in target materials causes the divergence of a parallel beam of charged particles. The angular width of the scattered beam is important wherever beams of charged particles are used. In particular the design of nuclear scattering experiments and the radiodosimetry of particles require knowledge of the beam spread. Theoretical treatments of the problem have been based on the Boltzmann transport equation1 or on the series summation method introduced by Wentze12 and later extended by Molibre.3 The two methods lead to essentially the same results as has been shown by Scott.4 In a recent investigation5y6 the small-angle scattering distribution for both pions and protons has been measured and the original Moliere theory modified to fit the data. Without this modification the theoretical calculations were as much as 20% in error for the light elements. The tables presented here are calculated with this modified theory. They present the material thickness necessary to produce specific scattered distribution widths at eight angular values between 5 and 60 mrad for protons and pions.
X EXIT DIRECTION
/
Moli6re Theory
e
The Moliere theory3 yields two distribution funo tions F(~,I#Q) andf@,,t), where F(B,+,t) represents the probability per unit solid angle of scattering a particle into the direction (0,~) after traversing a thickness t of material and where f(e,,t) is the projection of F(e,$,t) onto the (x,z) plane. The distribution functions are almost Gaussian near the central region but have significant non-Gaussian tails. Figure 1 shows the scattering geometry.
Atomic Data and Nuclaor Data Tables, Vol. 15, No. 5, May I975
9 Y
INCIDENT DIRECTION
z
4
/Y Fig. 1. The multiple scattering coordinate system is shown. The particle is incident along the Z-axis, and the origin of the coordinate system is at the center of the target
478
HUNGERFORD
The angular distribution
and MAYES
Proton,
Pion
function is
F (b4t > = &
[2eps2 + F,(.s)/B + F,(.s)/B2 + . . e], (1)
where
X exp(-v2/4) h2/4 h (v2/4)1N with Jo(q) a Bessel function and s = e/(vcB1’2). The projected distribution
function is
fP,J) = (4h) 1’2e-S2 +fi(s)/B
+f2(s)/B2 + . -f, (2)
where
x expC--v24 h2/4 In W/W and s = e,/( VcB 1’2). The leading term in the series expansion for F[Eq.
(1)l and for f[Eq. @)Iis Gaussian. Terms in higher powers of 1/B most significantly contribute to the distribution functions at large angles. In these expressions B = 1.153 + 1.122 InGo;
Target-Thickness-Angular-Spread
Tables
energy in MeV; and mp and m, are the projectile and target masses, respectively, in MeV. The EL is the incident energy in the laboratory. The quantity E is introduced into the original Moliere result to take care of the center-of-mass to laboratory transformation of the Coulomb cross section. In Ref. 5 it was found that the center-of-mass correction is necessary to fit the data. Good agreement between theory and experiment, except for very large angles, was achieved for 600-MeV protons and lOO- to 250-MeV pions from targets of C, Al, Cu, Cd, and Pb. The best fit values of the parameters a and b in Eq. (3g) are a = (0.59 & 0.04) and b = (3.44 2 0.23).6 These values were determined by fitting data over a wide range of values for LY. The result is shown in Fig. 2. In this figure all known multiple scattering data for protons,5v8 electrons,g-ll and pion@ are plotted in terms of the value of Vti2 necessary to obtain the measured distribution widths. These data are fitted with a function of the form f(a") = a + ba2. The function f(a") is to be equated with I’: [Eq. (3g)]. The solid curve is the Moliere result, while the dashed curve is a fit ignoring the beryllium data of Hanson et al.ll which is represented by the upper two points at (Y2 = 6.9 x 10p4. The dashed curve was chosen as the most representative fit. In any event, as was pointed out in Ref. 6, the theory does not fit the low-Z data very well. Moreover, high-energy electron scattering requires additional corrections to the
(34 (3b)
Qt, = (v,/yJ2;
(3c)
&= [(EL+ mtI(1 + r)l . E’
102:
(34
’
r = mp (EL m, /mp + m, )/(E, mt E ’ = (rn: + rn: + 2E,m,) 1’2; va2 = Vo2(u + ba2); v, = (0.004209)2 1’3/pc ;
+ m, );
W "5. Id
(30 (3g)
::
Ph)
and
10°
a = zZ/(137/3).
1
Pi)
Here p is projectile momentum, P is the projectile velocity in units of c, p is the target density in g/cm2, and t is the target thickness in cm. The constants a and b determine the screening of the nuclear charge by the atomic electrons4 and are fitted to the data. The momenta and velocity in the above expressions are in the center-of-mass coordinates; the energy is the relativistic
Fig. 2. Plot off(az) versus m2. Solid line is the original Moliere result, and the dashed line is the new result of Ref. 6. Proton data (Ref. 5 and 8), pion data (Ref. 6), electron data (Ref. 9-11)
479
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Rutherford cross section that have not been included in the theory. The numerical values were obtained by iterative solution to Eq. (l), (2), and (3) for each energy and angle. Tail terms to second order in (l/B) are included
Tables
in the expansions, Eq. (1) and (2). The values of the center-of-mass momenta and velocity are obtained by averaging @cP)-~ over the target thickness. This corrects, at least to first order, for energy loss in the target. All calculations are relativistically correct.
References
1. S. T. Butler, Proc. Phys. Sot. Lond. A 63,599 (1950)
7. H. A. Bethe, Phys. Rev. 89, 1256 (1935)
2. G. Wentzel, Ann. Phys. (Leipz.) 69, 335 (1922)
8. H. Bichsel, Phys. Rev. 112, 182 (1958)
3. G. Moliere, Z. Naturforsch.
9. L. A. Kulchitsky 61, 254 (1942)
3A, 78 (1948)
4. W. T. Scott, Phys. Rev. 85,245
5. E. V. Hungerford
(1952)
and G. D. Latyshev, Phys. Rev.
10. A. I. Andrievsky, L. A. Kulchitsky, and G. D. Latyshev, J. Phys. (USSR) 6, 278 (1943)
et al., Nucl. Phys. A 197,5 15 (1972)
6. B. W. Mayes et al., Nucl. Phys. A 230, 515 (1974)
11. H. 0. Hanson et al., Phys. Rev. 84, 634 (195 1)
EXPLANATION
OF TABLES
The tables present, in pairs, target thicknesses which produce various values of the distribution function at the indicated angles. The upper number of a pair is the thickness required to produce the indicated value of the distribution function F(e,+,t) of Eq. (1) and the lower number that of f(@,,t) of Eq. (2). The first is the probability per unit solid angle of scattering a particle in the direction (0,+) and the second the projection of this value on the (x,2) plane. ANGLE
Laboratory
angle in mrad
ENERGY
Laboratory
energy of incident parallel beam in MeV
P C-M
Center-of-mass
SD
Standard deviation. Thickness in g/cm2 for which the distribution tion is 0.607 maximum at the given angle
FWHM
Full-width-half-maximum. Thickness in g/cm2 for which the distribution function is 0.5 maximum at the given angle
FW.lM
Full-width-tenth-maximum. Thickness in g/cm2 for which the distribution function is 0.1 maximum at the given angle
.840 + 3, etc.
0.840 x lo3
momentum
at front of target in MeV/c func-
If the thickness entry is blank, the kinetic energy of the projectile is reduced by at least a factor of 10 in passing through the last listed thickness of the scattering material or else the thickness of the material is greater than 50 g/cm 2. In either case the approximations of the Moliere theory lead to large errors in the calculated angular widths.
Atomic Data and Nuclear Doto Tables, Vol. 15, No. 5. May 1975
480
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
and MAYES
Tables
Thus to find the standard deviation angle for 5.07 g/cm2 of f;Mg for protons incident at 350 MeV, first determine that the SD angle for Al is 10 mrad. Then convert to obtain
Interpolation Figure 3 shows the scattering distribution for 350-MeV protons scattered by Al. According to the Table the thickness of Al necessary to produce a standard deviation of 10 mrad in the distribution width is 5.07 g/cm2. The Table also shows that the thickness of Al necessary to produce a full-width-half-maximum (tenth-maximum) angle of 10 mrad in the distribution width is 1.08 g/cm2 (0.348 g/cm2). The thicknesses for the SD, FWHM, and FW.lM angles of the projected distribution are 4.92 g/cm2, 1.04 g/cm2, and 0.326 g/cm2, respectively. The center-of-mass momentum for this case is 840 MeV/c.
SD,,
= # $$ ‘I2 kc I I/ I - 9.79 mrad.
(10 mrad)
To estimate the standard-deviation angle for 4 g/cm2 of Al for 350-MeV protons, first estimate that the angle is between 5 and 10 mrad which correspond to 1.46 g/cm2 and 5.07 g/cm2. The thickness is nearer 5 g/cm2 so SD
l/2
10 = 8.88 mrad.
For an estimate of the change in scattering angle for a given change in the lab energy one may use Fig. 4 and 5 which essentially plot fractional change in scattering per unit scattering angle for a change in incident energy if the change in B is neglected. As can be seen from Eq. (1) and (2), the distribution functions are
I
I
I
30
20
10
I
I LO
loo L 20
m300.lmm600702aoo9w
I
T(MeV1
J”
Fig. 3. A plot of the distribution function for 350-MeV protons on Al versus angle. The plot shows the relationship between the various tabulated distribution widths
Fig. 4. A plot of the fractional change in V, for a change in kinetic energy of the incident proton. The graph is obtained by neglecting center-of-mass effects and the dependence of the scattering angle on the value of B
Interpolated values may be found by using Eq. (3), neglecting the dependence on B and the center-of-mass correction. When this is done, the scattering angle depends directly on Z, inversely on A112, inversely on momentum times velocity, and directly on the square root of the target thickness.
Gaussian if only the term to zeroa order in l/B is retained. The standard deviation of this Gaussian distribution is Vc(B/2) lj2. However, since B is insensitive to changes in energy or target thickness, V, mainly determines the change in the distribution width. In using these graphs one may assume that the change in energy
Angle
,ar)
481
Atomic Data and Nuclear Data Tables, Vol. IS, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
is the same for both the lab and the center-of-mass system. The remaining Fig. 6 and 7 give kinematic values which may be helpful in a more exact calculation or interpolation. To estimate the standard deviation angle for 375-MeV protons incident on 5.07 g/cm2 of Al, obtain from Fig. 4 the value of (l/<)(dV,/dT) at 350 MeV. This is approximately -0.0023. The SD angle is 10 mrad at 350 MeV. Therefore the estimate is:
Tables
I-
PloNS
I-
= 10 - (0.0023) (10) (375-350) = 9.43 mrad.
-DOl
,I -
l&3
&3&&560600760&9& T ( MsV)
Fig. 5. A plot of the fractional change in V, for a change in kinetic energy of the incident pion. The graph is obtained by neglecting center-of-mass effects and the dependence of the scattering angle on the value of B
100
xx)
xx)
400
500
600
700
800
ioD2003004006006oD7oD6DDvoD
voo
T (MeV)
T (MeVV)
Fig. 7. A plot of the total energy, momentum, and velocity of a pion versus its kinetic energy
Fig. 6. A plot of the total energy, momentum, and velocity of a proton versus its kinetic energy
Atomic Dab and Nuclear Data Tab!w, Vol. 15, No. 5. May 1975
482
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS ANNE
5.00 SO
200 t4.98*21
2.17.*0 z.os*o
4.86-l 4.68-l
1.58-l 1.48-l
s.m+o 5.ss+!J
1.6140 i.56rO
5.45-l 5.12-l
3.12+0 3.0x+0
l.ll+O l.oIIO
4.73rn 4).59+0
l.Bl+o 1.71rn
250 t 5.59~21
3.17~0 3.07ro
7.26-l 6.96-l
2.36-l 2.20-l
8.7210 4.47+0
z.q1+0 2.33*0
8.14-l 7.65-l
b-65+0 4.50+0
1.65+0 1.56,0
7.06*0 S-84*0
2.70*0 2.56+0
300 1s.14+21
4.3s+g 4.2s+o
1.00+0 9.66-l
3.27-l 3.05-l
1.20*1 1.16*1
3.34+0 3.23+0
1.12*0 1.06+0
6.@3+0 6.22+0
2.25+0 2.17*0
9.7q*n 9.44*0
3.74+0 3.55+0
350 l6.66rZj
5.76.0 5.59+0
1.31+0 l-26+0
q.zEt-1 4.00-l
1.57*1 1.52*1
4.38+0 4.2410
1.q7*0 1.39+0
e-43+0 4.17+0
3.01*0 2. as+0
1.27.1 1.23+1
4.92+0 4.66*0
400 t 7.14+21
I.ZS+O ‘7.06rO
l-66*0 1.60*0
5.41-l 5.06-l
1.97*1 1.32+1
5.54+0 S-36+0
l.SC*O 1.76*0
1.06rl 1.03+1
3.81*0 3.60*0
l-60*1 1.55+1
6.21+0 5.Ssra
450 8.93+0 i 7.so+z I 8.66+0
z-04+0 l-96*0
6.63-l 6.21-l
2.41+1 2.3**1
h.BO*O 6.57+0
2.23+0 2.16rO
l-30+1 X.26*1
4.68+0 4.43+0
l-96+1 1.90*1
7.63+0 7.24*0
500 1.07+1 IS.o4+2 I 1.03+1
2.44*0 2.36.0
7.96-l 7.46-l
2.07*1 2.Ea0*1
a.15+0 7.1)sro
2.75rO 2.6010
l-56*1 1.51*1
5.61+0 S-32+0
2.3q+1 2.27*1
9.15+0 a.s9*0
550 t6.46+2)
1.26*1 1.22.1
2.68*0 2.78+0
9.37-l 8.79-l
3.*0*1 3.31+1
9.60*0 9.29*0
3.2410 3.06+0
1..S3+1 l.TSIl
6.61+0 6.27*0
2.75+1 t-67*1
1.07*1 1.02+1
600 ~S.S6+21
1.46tl 1.41.1
3.3q+o 3.23+0
1.08ro 1.02*0
3.09+1 3.79+1
1.11+1 1.07+1
3.76+0 3.56*0
2.12+1 2.06+1
7.6610 7.28+0
3.18*1 3.09+1
1.25+1 1.19+1
650 1.67+1 t 9.25*2 I 1.s2*1
3.n3+0 3.70+0
1.24+0 1.17+0
4.4q*1 *.32+1
1.27rl 1.2341
Y.32+0 4.oa+o
2.43+1 2.3641
8.8010 a. 35+0
s-64*1 3.53*1
1.43*1 1.36+1
700 t 9.s3+2,
1*tl5+1 1.8C.l
Y.3510 *.20*0
1*91*0 l-32+0
1.*4*1 1.40+1
4*90*0 4.63+0
2.75+1 2.6741
9.98rO 9.47+0
q.101 3.98+1
X.6211 1.54+1
750 2.12*1 I1.00+3 I 2.06+1
q.en+o 4.72+0
1.58*0 1.49+0
1.62*1 1.57+1
5.51*0 5.21+0
J.oB+l 2.99+1
1.1211 1.06rl
q.SG*l 4.46*1
1.82,1 1.73+1
BOO tl.o3+3)
2.36+1 2.30+1
5.95+0 5.26+0
1.77*0 l-66+0
1.91*1 1.75+1
6.14+0 5. al+0
3.43+1 3.33*1
1.25+1 1.18*1
2.03*1 1.93+1
850 t 1.07+3)
2.62+1 t-54+1
6.C13+0 5.83IO
1.96+0 1.44+0
2.00+1 1.9q.1
6.80+0 6.*4*0
3.79+1 3.68+1
i-38+1 1.31*1
2.24+1 2.1401
30.00 SD
FYHM
FYWW
FM .lM
SO
90.00 FY.ll
SC
FYHW
FYNN
20.00
SO
ANGLE
FY.lM
15.00
ENERGY IP c-m
ENERGY fP C-III
FYWN
lWROU6W HE
10.00
FY.lW
SD
50.00 FY.lM
200 14.98121
3.16+0 3.28+0
5.20.0 4.94+0
250 t5.59+2l
5.17.0 *.91+0
7.75+0 7.37+0
300 16.14+21
7.1PIO 6.79+0
1.0691 1.01+1
350 16.66*2)
s.51+0
9.37+0
1.39+1 1.33+1
a00 t7.14+21
1.1a+1 1.12+1
l-76+1 1.67+1
950 t7.60r2t
1.44*1 1.37+1
2.15*1 2.05*1
500 ta.o4+21
1.73+1 l.CS+l
2.57+1 2.45*X
5SO l8.46+21
2.0**1 1.94+1
3.0211 t.S8+1
600 tB.S6*2l
2.36*1 2.25+1
3.49*1 3.33*1
650 l9.25*2)
2.70+1 2.57+1
3.98,l 3.80*1
700 t9.63+21
3.0511 2.91*1
4.49.1 cl.29*1
750 11.00+31
3.42+1 3.26*1
600 (1.03+31
3.81,1 3.63+1
650 t1.07*3t
4.20+1 4.01+1
SD
FYWM
FYWll
FM .I”
60.00 FU.lH
SO
FYNM
FU.lM
ti.79+0 6.46+0
See page 480 for Explanation of Tables
483
Atomic Data and Nuclear Data Tabler, Vol. 15, No. 5, May 1975
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
and MAYES
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH C 5.00
ANGLE ENERGY IP c-n,
SO
FUHR
10.00 FY.lR
SO
FYHR
15.00 FY.lN
50
FYH”
2O.OC FY.lt4
SO
FUHW
FU.111
zoo (5.85*21
1.02+3 5.89-1
2.20-l 2.11-l
7.12-2 6.61-2
3.41+0 3.31+0
7.61-1 7.34-l
2.46-1 2.31-1
6.56'0 6.37+0
1.5s+o 1.51+0
5.11-1 4.81-l
9.a9+o S-62+0
2.3a+c 2.4s+c
8.57-i
250 IC.60*il
1.51+0 1..46+0
3.24-l 3.12-l
1.09-l 9.75-z
3.06+0 4.91+0
l.tP+O 1.0a+0
3.64-l 3.41-l
9.71*0 9.44W
2.31+0 2.23+0
7.36-l 7.13-1
1.46+1 1.42+1
S.aZ+O 3.70+0
l-26+0 1.20+0
300 (7.29+21
2.07+0 Z.OO+lJ
4.44-l 4.27-l
1.*3-l 1.33-l
6.95+0 6.74+0
1.54*0 l&9+0
u.ss-1 4.68-l
1.33*1 1.29+1
3.17*0 3.07*0
1.03+0 9.79-1
2.00+1 1.34*1
5.24*0 5.OWO
1.71(*0 l-64+0
350 17.93.2,
2.70+0 2.61*0
5.76-l 5.56-l
1.86-l 1.73-l
9.05+0 a.79+0
2.01+0 1.94+0
6.119-l 6.10-l
1.73+1 1.68+1
4.14+0 4.00+0
1.33+0 1.27+0
2.60+1 2.53+1
6.83+0 6.62+0
2.27+0 2.13*c
400 18.54+21
3.39+0 I.ZB*ll
7.24-l 6.97-1
2.33-l 2.17-I.
1.13.1 l.lO*l
2.52+0 2.43+0
8.1*-l 7.66-l
2.17*1 2.11+1
5.19+0 3.03+0
1.69*0 1.60+0
3.25+1 3.17+1
0.5a+o 8.31*0
2.55.+0 2.70*0
453 tS.l3+2,
4.13*0 4.00*0
8.81-i 8.49-l
2.83-l 2.65-l
l-38+1 1.3411
3.07*0 Z-97+0
3.92-1 3.34-1
2.64.l 2.5741
6.33CO h-13*0
2.06+0 lr9f+O
3.93*1 3.83*1
l-O@+1 l.Ol+l
3.47*0 3.23*0
505 l%.69+21
9.93+0 4.78*0
1.05+0 l-01+0
3.37-l 3.15-l
l-65+1 l-60+1
3.66+0 3.54+0
i.ia*o l-11+0
3.15+1 3.06+1
7.35*0 T-31+0
P-46.0 2.33+0
4.70+1 4.58*1
1.24+1 l-21+1
e-14+0 3.93ro
553 l1.02+3)
5.77ro 5.59+0
1.22+0 l.lB+O
3.94-l 3.69-1
1.93+1 1.8?*1
4.29+0 4.13*0
l-38+0 1.3010
3.6@1 3.5811
8.8~0 8.57+0
z.aa*o 2.73rO
l-46*1 1.41+1
4.85+0 4.61,0
600 (l-07+31
6.66+0 6.46+0
1.41*0 l-36+0
4.55-l 4.26-l
t-22+1 P-16+1
4.95.0 4.75+0
1.59+0 1.30+0
4.24*1 4.13+1
1.02+1 9.89+0
3.33*0 3.15+0
1.6a+l l-63+1
S-61+0 5.32*0
650 11.12+31
7.59+0 7.37+0
1.61+0 l-55+0
5.18-1 Y-85-1
2.54*1 2.47+1
S-65+0 5..46*0
l.aZ+O l-71+0
4.83*1 4.70*1
l-16+1 l-12*1
3.3a+o 3.60+0
1.52+1 1.86*1
6.39+0 6.07+0
700 il.l7+3l
8.57rO 8.32*0
l.aZ+O l-75+0
5-G*-1 5.47-l
Z-86+1 Z-76*1
6.37+0 6.17+0
2.03*0 1.94*0
1.31*1 l-27+1
4.29+0 4.06+0
2.16+1 2.10*1
7.22+0 6.86*0
750 11.22*31
9.59rO 9.30+0
2.03+0 l-96+0
6.53-l 6.12-l
3.2011 3.11+1
7.13+0 6.90+0
2.29+0 t-17+0
1.47+1 x.42+1
4. so*0 4.33+0
z-42+1 2.35*1
G.oa*o 7.67+0
800 tl.27+31
1.05+1 1.03+1
2.26.0 t.la+O
7.24-l 6.80-l
3.55+1 3.45+1
7.91+0 7.66*0
2.35*0 2.41+0
l-63+1 1.3Wl
3.33*0 3.03+0
2.68+1 2.61*1
a.97+0 9.52*0
630 ,l.32+3,
l.lTCl l-13*1
2.es+o 2.40*0
7.98-i 7.49-l
3.91+1 3.aO+l
a.73+0 a-45*0
t-81+0 2.66+0
1.791 1.74*1
3. w+o 3.38~0
t-96+1 2.87+X
s.Gs*o 9.41*0
ANOLE ENERGY ,P c-n1
30.00 SD
FYHR
60.00
4P.00 FY.lW
SD
FUHR
8.09-i
FU -111
SD
FUHW
FU.lW
SO
FUM
FY.lll
200 15.85121
5.07+0 4.91+0
1.76+0 1.67+J
7.57a 7.64+0
2.90*0 2.76+0
l-06+1 1.03+1
4.22a 4.02*0
5.67*0 5.40*0
250 16.60+21
7.51*0 7.28+0
2.61*0 2.47+0
l-16+1 1.13+1
4.9010 4.09+0
1.57*1 1.33*1
6.26+0 3.96+0
G.#O+O a-01+0
300 17.29+21
i-03+1 1.00+1
3.58+0 3.40*0
1.59*1 1.33+1
3.91+0 S-62+0
2.15+1 2.09+1
3.60+0 0.19+0
1.15*1 1.10*1
350 17.93*21
l-34+1 1.30+1
4.67*0 1.**+0
2.07+1 z-01+1
7.71+0 7.34*0
z.a0+1 2.72+1
1.12+1 l-06*1
1.50*1 1.13*1
400 18.54+21
l-68+1 l-63+1
5.87+0 f-56+0
Z-60+1 Z.St+l
9.6GrO 9.22.0
3.30+1 3.40+1
450 #9.13+21
2.05+1 l.SS+L
7.16+0 6.al+O
3.16+1 3.07+1
l-18+1 1.12*1
4.23+1 4.14+1
500 l9.69+2I
2.44+1 t-37+1
8.54+0 8.13*0
3.76*1 3.66+1
530 ll.O2+3l
z.a3+1 2.17*1
l.Oo+l s-53*0
4.40+1 4.2Wl
600 :1.07+3)
3.29*1 3.20'1
650 I1.12*31
1.8Wl 1.79*1 1.71*1 l-63*1
2.29*3 2.19*1
1.4011 l-34*1
2.04+1 1.93+1
2.73*1 2.61*1
l-63+1 1.57+1
2.39*1 2.2a*1
3.20*1 3.05*1
a-15+1 l.lD.1
1.90*1
hai*
Z-76*1 P-63*1
3.65*1 3.52*1
3.75+1 3.6..1
1.31+1 l-25+1
2.17+1 2.07.1
3.14*1 3.00*1
*.20*1 *.01*1
TOO 11.17~3)
9.22+1 4.11*1
1.4Ml l..l.l
2.44*1 2.33+1
3.34+1 3.39*1
a-73*1 *.32*1
750 11.22+31
4.72+1 4.59.1
l-66+1 l-58+1
2.73+1 2.61+1
3.96*1 3.79+1
800 I&.27+31
l-811+1 l-76,1
3.03+1 2.90+1
4.39+1 4.20+1
a50 11.32+3l
2.03+1 1.9r.1
3.34+1 3.19+1
h-84*1 a-63*1
See page 480 for Explanation
of Tables
Uomic Data and Nuclear Data l.aMe,, Vol. IS, No. 5, May 1975
484
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTON5 ANGLE ENERGY IF C-MI
5.00 50
FUHU
THROUGH PIL 15.00
10.00 FU.lt4
SO
FYHN
FU.lN
SO
FNHN
20.OE FU.lU
SO
FYHM
FU.111
200 C6.16.2,
5.6"-1 5.51-l
1.20-l 1.15-1
3.89-2 3.59-2
1.93+0 1.n,+lJ
9.16-l 4.01-I
1.39-l 1.25-l
3.92*0 3.61*0
8.63-I 8.33-l
2.78-1 2.61-1
s.3*+0 6.16*0
l.@YIO 1.39rC
4.68-i 4.11-l
250 ,6.96+2)
8.25-i 7.97-l
1.76-1 1.69-l
5.70-Z 5.27-2
2.85,0 2.77+(1
6.12-1 5.90-l
1.97-1 1.84-l
5.79+0 5.62*0
1.27*0 1.22*0
4.09-1 3.85-l
9.36G 9.10*c
2.12+0 Z-05+0
6.89-1 6.5G-1
300 17.7ll12,
1.12*0 1.0610
2.39-l z.zo-1
7.79-z 7.18-Z
3.90+0 3.79."
8.35-l 8.06-l
2.68-l 2.51-1
7.92*0 7.70+0
1.73+0 1.67*0
5.59-l 5.26-l
1.28+1 1.211*1
2.91*0 2.61+C
9.42-l 8.89-i
350 lFJ.~o+zl
1.46.0 1.91+0
3.10-l 2.36-l
1.00-l 9.30-z
5.07+0 u.92+0
i.oa+o :.04+0
3.118-l 3.26-l
1.03'1 1.00+1
2.25*0 2.10+0
7.25-l 6.63-l
3.7a+o 3.ssrc
1.22+0 1.15*0
900 19.0s+21
I.8210 1.7s*o
3.87-l 3.72-l
1.24-l l.l‘-1
6.35+0 6.16+0
1.35+0 1.30*0
Y.38-1 4.08-l
l.za+l 1.25*1
2.82+0 2.72+0
9.07-l 8.55-l
z.on+1 2*c2*1
*.73*0 4.5e+o
1.53+0 1.49+0
us0 i9.70+2l
2.2210 2.15+0
4.70-l 4.52-l
1.51-l 1.90-l
7.72.0 7.50*0
1.64'0 1.59*0
5.28-l 5.96-l
1.56,1 l.St*l
3.43+0 3.31*0
1.10+0 1.04*0
Z-52+1 2.46+1
5.75+0 5.57+0
l.a6+0 1.76+0
500 (1.03+31
2.59+0 2.5510
5.58-l 5.37-l
1.79-l 1.67-l
9.19.0 n.93*0
1.95+0 l-89+0
6.27-l 5.89-l
1.66+1 l.al+l
4.oa+o 3.94+0
1.31*0 1.23*0
3.00+1 2.92+1
6.8@+0 6.63+0
2.21+0 Z-09+0
550 11.09+31
3.0810 2.99*0
6.51-1 6.27-l
2.09-l 1.95-1
1.07+1 l.O@,l
2.28+0 2.20*0
7.32-l 6.69-l
2.1a+1 2.12*1
4.76*0 9.61*0
1.53+0 1.44+0
3.51+1 3.@2+1
a.oo+o 7.7500
2.58+0 Z.kIIO
600 t1.14*3,
3.55.0 3.*4+0
7.99-l 7.21-l
2.40-l 2.24-l
1.23+1 1.20*1
Z-63+0 z-54+0
a.43-1 7.93-l
2.51+1 2.44+1
5.*9+0 5.31*0
x.76*0 1.66+0
4.04+1 3.93*1
9.22.0 n.9q*c
2.98+0 z.az+o
650 11.20+31
q.oe+o 3.92.0
8.52-l 8.20-l
2.73-l 2.55-l
1.40+1 1.36+1
2.99+0 P-89*0
9.59-1 9.03-l
2.85+1 2.77+1
6.25,0 6.05IU
2.00*0 1.n9+0
4.59*1 1.@7+1
l.o@+l 1.01+1
3.39+0 3.21+0
700 11.26+3)
4.55+0 4.41+0
9.58-l 9.23-l
3.07-l 2.87-l
1.5ar1 1.59+1
3.37*0 3.26+0
1.07*0 1.01+0
3.21+1 3.13+1
7.04*0 6.82+0
2.26+0 2.13+0
1.1n+1 l.lWl
3.02+0 3.62+0
750 t1.31r31
s.oa+o 9.93+0
1.06*0 1.03+0
3.43-l 3.20-l
1.77*1 1.72+1
3.76*0 3.64*0
1.20*0 1.13+0
3.50*1 3.49+1
I.a6+0 7.62*0
2.52*0 2.38+0
800 11.37*31
5.63,0 5.46+0
1.10+0 1.1a+0
3.79-l 3.55-l
1.96*1 1.91+1
4.17+0 4.03+0
1.33+0 1.25+0
3.97+1 3.87+x
8. a+0 a.44+0
2.79+0 2.64+0
1.4fi+1 1.42*1
4.73*0 k.49+0
a50 l1.42*3)
6.20+0 6.02+0
1.30+0 1.25+0
4.17-1 3.91-l
2.16+1 2.10+1
4.59+0 P.4@*0
1.4s+o l-38+0
4.37+1 4.26rl
9.59+0 9.30+0
3.oaeo 2.91*0
1.61+1 1.56*1
5.21*0 4.94+0
4.26+0 I.OWO
- - - - - - - -- - - -- - _ ANGLE
30.00
40.00
ENERGY 4P c-n,
SO
FNHN
FY .lN
200 16.16+21
1.17+1 1.1e+1
2.95*0 2.86+0
9.73-l 9.20-l
250 l6.96+21
1.73*1 1.68*1
9.35+0 *.22+0
300 17.70+21
2.36+1 2.30+1
350 18.40+21
5lJ
FU .lR
SO
FYWN
60.00 FU.111
SO
FYUN
FY.lll
4.83*0 4.68+0
1.6300 1.54*0
6.96+0 5.75+0
2.42*0 2.30+0
9.24*0 n.97+0
3.33*0 3.17*0
1.43+0 1.35+0
7.13*0 6.91+0
2.40+0 z.za*o
1.02+1 9.97+0
3.57+0 3.40+0
1.3691 1.32+1
4.92+0 4.61+0
5.96+0 5.78.0
l-96+0 l-86,0
9.75+0 9.46+0
3.29+0 3.12+0
1.40*1 1.36+1
4.(19*0 4.66+0
1.86+1 1.8lrl
6.74+0 6.42+0
3.06+1 2.9811
7.74+0 7.51+0
2.55+0 2.*1+0
1.26+1 1.23*1
4.2a+o 4.06,0
l.az+i 1.77+1
2.4141 2.35+1
6.76*0 a.35+0
400 19.06+2>
s.a3+1 3.73rl
9.69+0 9.40*0
3.19+0 3.03+0
1.5Wl l.b*+l
5.36+0 5.09*0
2.26+1 2.21*1
7.97+0 7.59+0
3.02*1 2.94fl
1.09+1 1.04*1
450 19.70+21
4.6W.l 4.53+1
1.17+1 1.14+1
3.88+0 3.68.0
1.92+1 1.a7+1
6.52+0 6.20,0
2.77+1 2.69+1
9.70+0 9.24+0
3.67+1 3.57+1
1.33+1 1.27+1
500 11.03+31
1.qo+1 1.36.1
4.62+0 4.39*0
2.29+1 2.22*1
7.76+0 7.39*0
3.29+1 3.20*1
1.15+1 1.10+1
4.36+1 4.24+1
1.51*1 1.51*1
550 11.09+31
1.64+1 1.59*1
5.40*0 5.13*0
2.68.1 2.6011
9.oa+o a.64*0
3.8511 3.74+1
1.35+1 1.20+1
1.85*1 1.77*1
600 ll.llr31
1.88*1 1.83+1
6.23+0 5.92+0
3.0a*1 3.00+1
1.04+1 9.96,0
4.43+1 4.31+1
1.55+1 1.40+1
2.14+1 2.04*1
650 l1.20+3)
2.15+1 2.08+1
7.09+0 6.74+0
3.51+1 3.41+1
1.19+1 1.13+1
1.77*1 1.69+1
2.43*1 2.32+1
700 11.26+3)
2.42+1 2.35*1
7.99+0 7.60,0
3.95+1 3.a4rl
1.34*1 1.27+1
1.99*1 1.90*1
2.74*1 2.62+1
750 11.31.3,
2.70+1 2.62*1
a.92+0 8.119+0
11.41*1 e.29.1
1.5011 1.43*1
2.23.1 2.12*1
3.06+1 2.92+1
800 11.37+31
2.93*1 2.91+1
9.9010 9.e2+0
l .an+1 k-75+1
1.66+1 I.5811
2.47+1 2.36*1
3.39+1 3.24+1
850 ,I..2131
3.29*1 3.20+1
1.09*1 1.03*1
1.83.1 1.74*1
2.72+1 2.60+1
3.73*1 3.57*1
See page 480 for Explanation
1.69+1 i-64+1
FYHN
50.00
of Tables
485
Atomic Data and Nuclear Dota Tables, Vol. 15, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS
ANOLE ENERGY IP c-n,
5.00 SD
FUHM
200 16.25rZl
@.56-l
9.79-2
4.10-l
9.38-z
250 l7.D6+21
6.69-1
1.43-l
6.46-l
1.37-1
300 17.aZrZl
9.11-1 8.80-l
350 18.53+21 900
FY.lR
SC
FYHtl
1.59+0 1.53+0
3.38-l 3.25-l
1.09-l 1.01-l
9.63-Z q.za-2
2.?2+0 2.25+0
r).96-1 4.79-l
1.99-l 1.86-l
6.28-Z
3.17+0 3.0810
6.76-l 6.51-l
i.ia+o
2.51-1
4.12+0
1.14+0
2.51-l
6.11-Z 7.51-2
q.oo+o
l9.21+21
1.47+0 1.*2+0
3.12-1 3.00-l
1.00-l 5.36-2
5.1510 5.00+0
450 I 9.86+2)
i.78+0 1.73+0
3.79-l 3.6*-1
1.22-1 1.13-1
500 ll.OY+Sl
2.12+0 2.05+0
*.q9-1 0.32-l
550 11.11*31
z..w+o 2.9010
5.23-l
5.03-l
600 11.17+31
2.85+0 Z-76+0
6.01-l
650 l1.22+3)
FUHM
zo.oc FY.111
SO
FYHM
FU .lhl
7.02-l 6.77-l
2.26-l 2.11-1
5.31+0 5.16+0
l.l7+G 1.13*0
3.50-l 3.57-l
1.59-1
9.77+0
l.q9-1
II. 63*0
1.03+0 5.95-1
3.31-1 3.11-l
7.82+0 7.60+0
1.73+0 1.67+0
5.58-i 5.25-l
2.17-1 2.03-l
6.52+0 6.33+0
1.40+0 1.35+0
9.51-l q-21-1
1.06+1 1.03+1
2.36+0
7.61-l
2.2aeo
7.17-1
8.75-l 9.93-l
2.81-l 2.63-l
8.4610 8.22*0
l.az+o 1.76*0
5.85-l 5.50-l
1.38+1 1.35+1
3.06+G 2.96+0
9.86-1
1.09+0
3.50-l 3.28-l
l-06+1 1.02*1
2.27+0 2.20+0
7.30-l
1.73+1
1.05+0
6.87-1
1.68,1
3.az+c 3.70+0
1.23+0 l.t6*0
6.26+0 6.07*0
1.32+0 1.27+0
q.zq-1 3.98-i
l.ta+l 1.25+1
2.76+0 2.67+0
8.86-i 8.35-i
2.05+1
4.65+C q.so+o
1.49+0 1.u+o
1.01-l 1.30-l
7.a**o 7.22’0
1.57+0 1.51+0
s.oq-1 0.73-l
1.52+1
3.28+0 3.17+0
1.05*0 9.93-l
2.50+1
z&3+1
6.52+0 5.35*0
1.77+0 1.68+0
1.68-I 1.56-1
a .69+u a.w+o
i.a3+0
5.88-l
1.78+1
3.83+0
5.52-l
1.73+1
3.71*0
1.22+0 1.15+0
2.92+1 2.awi
6.45+0 6.25*0
2.07*0
1.77+0
1.00+1
2.11+0 2.owo
6.76-l 6.35-l
2.06+1
5.79-l
1.93-1 1.50-l
e.41*0 q.27+0
r.e1*0 1.33*0
3.36+1 3.27*1
7.q3+0 7.20*0
2.39+0 2.26*0
3.2*+0 3.11(+0
6.83-l 6.57-l
2.19-1 Z.OI-1
1.13+1
2.*0+0 2.32+0
7.68-l
t.60+0 1.51+0
3.82+i
7.22-l
2.33*1 2.2711
5.02+0
1.10*1
3.72*1
ads+0 a.l9+0
2.71*0 2.57+0
3.65+0
2.63+1
5.65+0
l.aO+O
2.56+1
5.*7+0
1.70+0
Q.30+1 1).19+1
9.5210 9.22+0
3.06+0 z.as+o
2.93+1 2.55+1
6.30*0 6.10+0
2.01+0
q.SO+l
#.6a+l
1.06+1 1.03+1
3.ql+O
1.90+0
3.25+1 3.16+1
6.9810 6.76+0
2.23+0 2.11+0
1.17+1
3.78+0 3.58+0
3.57*1 3.48+1
7.68*0 7.45+0
2.@6*0 2.32+0
1.29+1 1.25+1
5.81-Z
9.72+0
7.68-l 7.39-l
2.46-l
l.ta+l
2.70+0
3.53*0
2.30-l
1.2*+1
2.61*0
a.6b1 8.13-l
750 11.3*+31
q.o7+0 3.911+0
8.56-l 8.25-l
2.75-l 2.56-l
1.43*1 1.39+1
3.01*0 2.91+0
9.07-l
9.qa-1
3.01-i
11.39+31
l .51+0 q-37+0
9.13-i
2.84-l
550
@.96+0
l.OWO
b.Sl+O
l.OO+O
tl.t5+3)
SO
3.29+0 3.14+0
ll.28+33
a00
AR 15.00
FY.lW
3.1s~i 2.93-2
700
,“RO”BH
10.00
9.6+1
1.58*1 1.51+1
3.3*+0
1.06*0
3.22+0
l.OO+O
3.34-l 3.12-1
1.74+1
3.67+0
1.17+0
1.69+1
3.55+0
l.lO+O
FY.lH
so
FYWll
FY.lW
AN6LE
i.qa+i
1.99*1
bas+o
2.10+1
i.i*+i
50.00
qo.00
1.96+0
3.23+0
q.lC+O 3.9q+o
60.00
ENERBY IP c-n,
so
200 16.25+2l
1.02*1 %.95+0
2.*2+0 2.34+0
7.91-1 7.q7-1
1.51+1 1.50+1
q.0140 3.aa+o
1.32*0 1.25+0
5.86+0 5.68+0
i.sa+o i.amo
7.09+0 7.66rO
2.71*0 2.60*0
250 t7.06+2#
1.50+1 1.@6*1
3.57+0 3.q5+0
1.16+0 1.10+0
2.26*1 2.21+1
5.90*0 5.72*0
1.95+0 l.as+o
8.63,0 5.37+0
2.92*0 2.77+0
1.16+1 1.12+1
@.03+0 3.awo
300 t7.azr2)
2.05*1 z.oo+i
ba7+0 q.7Z.o
x.58+0 1.50+0
3.09+1
a.o7+0 7.82+0
2.67+0 2.53*0
1.17+1 1.1*+1
3.99+0 3.79*0
1.58+x 1.5Wl
5.25*0
350 l8.53+2)
2.66+1 2.59+1
6.32+0 6.13*0
2.06+0
*.00+1
1.95+0
3.90*1
1.01+1 1.01*1
3.47ro 3.29+0
1.53+1 l.*a+l
s.ia*o e.92+0
2.06+1 2.00+1
7.16*0 s.a2+0
400 1%.21+2l
3.32+1 3.2qr1
7.91*0 7.67+0
2.57+0 z.qq+o
1.99+1
1.30+1 1.27+1
q.33*0 1.12+0
1.91+1 1.95+1
6.10,0 6.16*0
2.67*1 2.50+1
R.96+0 5.5WO
@SO (9.86*21
1.01*1 3.93+1
9.61+0 5.32+0
3.13+0 2.96+0
1.5941
5.27+0 5.01*0
2.32+1 2.25+1
7.aaeo 7.50+0
3.12+1 3.04+1
1.09+1 1.03rt
q.79+1
1.11*1 1.10+1
3.72+0 3.53+0
l.as+i
6.27+0 5.96+0
2.76*1 t-68+1
9.37+0 a.s2+0
3.71+1 3.61+1
1.29+1 1.23*1
1.33*1 1.29*1
*.3q+0
2.20*1
11.11*31
q.12+0
2.1q*1
7.32+0 6.97+0
3.22*1 3.13*x
1.09*1 l.OWl
*.33+1 4.21+1
1.51+1 l.@Wl
600 11.17+31
1.53+1 1.49*1
s.oo+o q.75*0
2.5@,1 z.q7+1
a.w+o a.03+0
3.7191
1.26+1
3.60*1
1.20*1
e.98+1 has+1
1.74*1 1.66+1
650 tl.22+3)
1.7q*1 1.69+1
5.69+0
2.89+1 t.al+l
9.60*0
*.21+1 q.lO+f
1.43+1 1.36+1
1.9a+i 1.59*1
700
1.96+1 1.91+1
a. 7q+1 1.6lrl
1.61*1
6.09+0
3.25+1 3.16*1
i.oa+i
tl.28+31
2.23+1 2.13+1
750 l1.3*+31
2.19+1 2.13*1
7.15+0 6.80*0
3.63.1 3.53+1
1.20+1 1.15+1
i.ao+i
1.72*1
2.*9+1 2.3a+l
800 ll.39+31
z-*3+1
7.93+0 7.51)+0
q.o2*1
2.36+1
1.33+1 1.27+1
2.00*1 1.9011
2.76+1 2.6*+1
a50 11.*5+31
2.6711 2.60+1
8.73+0 a.31+0
5.*2+1
1.*7+1 1.9011
2.20+1 2.10+1
2.9011
500 11.0W31
4.67+1
550
See page 480 for Explanation
5.*1*0 6.*1+0
3.01+1
q.a7*i
1.5q.1 i.a3+1
3.91.1
9.30+1
9.1e+o 1.03+1
of Tables
Atomic Dam md Nuclea, Dot.= Tables, Vol. 13, No. 5, Mq’ 1975
486
SO
9.30-l
FUWf4
FU.ltl
1.5Wl
SO
FUWM
FU.lll
5.52+0
3.04*1
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
and MAYES
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS 5.00
PNGLE ENERGY IP
FUH"
S@
THROUGH
Cb
10.00 FU.lM
50
FUHM
20.00
15.00 FY
-14
SO
FYHM
FY.111
FYHH
SO
FY.111
c-n, 3.75-l
8.07-2
2.62-2
I.3010
2.78-l
5.77-l
1.86-l
s..o+o
9.63-l
3.62-1
7.73-2
2.41-2
l-26*0
2.68-l
8.98-2 8.36-2
2.67+0
16.25121
2.59+0
s-57-1
1.7*-1
0.27+G
3.36-1
2.93-l
250 lT.il6+2I
5.50-l 5.31-1
1.17-1
3.82-2
1.91+[1
5.oa-1
1.31-l
3.93+0
8.18-l
2.72-l
6.@7+C
1.12-1
3.52-2
l-85+0
3.93-l
1.22-l
3.82+0
8.18-1
2.55-l
6.29+0
1.42+0 1.37*0
4.59-l 4.31-l
300 17.32+21
7.49-l 7.23-l
1.59-l 1.53-l
5.17-2
2.61*U
1.15+0
3.71-l
8.8@+0
1.91(*G
6.25-l
2.53+0
1.78-l 1.66-1
s-37+0
4.70-2
5.55-l 5.35-l
5.2210
1.11+0
3.*8-l
8.60+0
l-87+0
5.83-1
350 ,a.53+2,
9.69-l 9.37-l
2.06-l
3.39*0
7.19-l
1.es+o
,.80-l
6.33-1
6.77+0
1.w+o
N-51-1
1.14*1 1.11*1
2.51+0 2.43+0
8.10-l
3.2810
2.30-l 2.16-1
6.37*0
1.93-1
6.67-2 6.18-2
400 19.21+21
1.21+0 1.17+0
2.57-l
a-30-2
4.23+0
8.37-1
2 .a 7-1
8.7210
5.33-1
1.13*1
7.69-2
e-11+0
8.65-l
2.69-l
8.e7.0
5.64-l
1.39+1
3.1Q+c 3.04+11
1.01+0
2.&6-l
l.a6+0 l.ao+o
r5g 19.86+2J
1.*E.+o 1.92rO
3.11-1
1.00-l
7.27-l
l-T@+1
3.a2+c
3.27-l
1.05*1 1.03+1
t-26*0
9.32-2
l-08+0 1.05*0
3.e8-1
2.99-l
5.1e*o 4.99+0
2.13+0
6.85-l
l-69+1
3.69+0
1.22+0 l-16*0
1.7*+0
3.69-l
1.18-1
6.11+0
1.290
4 -14-l
l-25*1
2.63+0
8.61-l
l
1.95+0
1.6810
3.54-l
1.10-l
5.33+0
1.24.0
3.88-l
r-22+1
2.so+o
8.111-l
2.07rl 2.01+1
e-39+0
1.37*0
2.03+0 1.97*0
Y.30-1
1.38-i 1.28-l
7.1010 6.93+0
1.50*0 1.*5+0
Y-82-1 b-53-1
1.*7*1
3.x*+0 3.01*0
1.00+0
2.e2+1 2.35+1
5.3010 5.13*0
1.70+0 l-62+0
8.22+0 7.98+0
1.73+0
5.55-l 5.21-l
l-69+1
3.62rO 3.50*0
1.15+0
2.78+1 2.71*1
6.1010
1. CI+l
5.31*0
l-96+0 1.a5*0
1.37+0 1.30+0
6.30-l
1.9211
*.11+0
1.31+0
5.32-1
l-87+1
3.38+0
1.2u+o
3.16*1 3.08*1
6.94+0 6.72+0
2.22*0 2.lOCO
200
500 11.05+3l 550 ~l.ll+Jl
9.13-l 4.9r(-1
1.59-1
11.75-l
1.48-l
600 11.17+31
2.3*+0 2.26,0
650
2.66+0
5.61-l
1.80-I
9.35+0
2.5710
5.33-l
1.68-l
3.08*0
l1.22+31
l-67*0
l.c13,1
3.50-1 1.03+0
.55+0
3.12-l
7.64-l
3.54-1
2.99+0
6.30-l
2.02-l
1.05*1
2.21*0
7.03-1
Z-16+1
4.63+0
7.81*0
2.50*0
2.9010
6.07-l
1.89-l
1.02+1
2.1**0
6.66-l
t-10+1
*.*a+0
l&8*0 t.*o*o
3.56+1
(1.28+3)
3.Q6+1
7.57+0
t-37+0
750 l1.311+3)
3.39+0 3.23*0
7.03-l 6.76-l
2.25-l 2.10-l
1.17+1
2.e7+0 2.39.0
7.90-l 7-W-l
2.*1+1 2.35+1
5.17*0 5.00*0
l-65+0 L-56+0
3.97+1 3.87,l
a-72+0 8.05~0
2.00+0 2.65+0
800
3.70+0
7.77-1 7.,9-l
2.53-1
1.30*1
2.73+0
8.75-l
2.68*1
s-13+0
l-83+0
4..0*1
9.66*0
3.58,0
2.33-l
l-26+1
t-6*+0
8.21-l
2.60+1
5.55+0
1.73*0
a-28+1
9.37+0
3.10*0 2.93*0
@.OlCO 3.9v+o
8.55-l
2.74-1
1.43*1
3.01*0
3.62-1
l.06.1
1.33+1
2.31*0
3.06-1
6.30+0 6.1OCO
e.awl
2.56-l
2.3.*1 P-87+1
2.01+0
8.23-l
1.34*0
4.71*1
1.03*1
FY.lR
so
FUHM
700
11.33r31 a50 11.*5r31 --------
- -___
ANGLE ENERGY IP c-n,
1.1**1
-_. 30.00
SO
3.@1+0 3.23+0
FYHM
10.00
FY.lh
SO
FYHM
50.00
60.00 FU.14
SO
FUH"
FU.lI(
8.5*+0
2.omo
1.30+1 l-26*1
3.31+0 3.21+0
2.26+0
a-70*0
l-63+0 l-s@+0
6.57W
1.03*0
l-73+1 l-68*1
4.85cO
1.33+0
6.51-l 6.14-l
1.03+0
a-31+0
6.37*0
2.1~0
l-25+1
2.9.+0 2.84*0
9.56-l 9-o*-1
1.31*1 l-86+1
q-87+0 4.72rO
l-60+0 1.5210
2.54+1 2.~7+1
7.15*0 6.33+0
2.*0+0 2.28+0
3.67+0 9.39+0
3.32+0 3.1wo
1.71+1
*.01+0
2.61+1 2.51)+X
6.66ro 6.06*0
3.76rO
3.28+0
3.83*0
1.30*0 l-23+0
2.19+0
l-67+1
2.08+0
s.n7+0
3.x1*0
l-32+1 i.zG+l
e-32+0
2.22*1 2.16rl
5.21*0
3.38*1 3.30*1
a-38+0
2. as+0 2.70+0
l-26*1 l-23+1
a-26+0 ..05+0
5.90+0
5.09+0
l-63+0 l-60*0
1.71+1
l8.53*21
l-66+1
5.61.0
400 ,9.21+21
2.78+1 2.70*1
6.51+0 6.31+0
2.11+0 2.0010
*.22+t
l-08*1 1.01*1
3.56*0 3.38+0
l-58+1 1.53+1
5.33*0 5.06+0
Z-11)+1
7.38+0 7.03.0
150
3.37*1
2.57+0 2.43+0
1.31+1
*.33+0
1.32+1
6.47+0
2.60+1
3.28*1
7.91*0 7.6740
l-27+1
a-11+0
l-86+1
6.16+0
2.5211
8.37+0 a-55+0
Y.oo+l
3.ro*o
l-56+1 1.51+1
5.15+0 4.89+0
7.70+0
3.12*0
3.05+0 z.as+a
2.28+1
3.90+1
2.22+1
7.33+0
s.aG+l 3.00+1
1.as+1 1.01*1
4.67.1
1.09+1 l-06+1
3.56.0
i-82+1 1.77.1
6.0X+0
2.67*1
9.00+0
3.60+1
1.21+1
S-72+0
2.53+1
8.57+0
3.50+1
1.18.1
e-11)+1
1.e3*1
e-03+1
1.3Wl
*.71+1 9.58+1
1.s3+1 l-55*1
200 (6.25121 250 17.06r21 300 17.82+21 350
l9.86+2) 500 t1.05*31 550 11.11+31
1.22+1
4.55*1
J-38*0
b.ll,l
8.64*0
z.m*1
b-S@+0
600 11.17+31
1.26+1
l .10+0
1.22+1
3.83+0
2.09+1 2.03+1
6.32+0 6.590
3.07+1 2.98+1
1.03*1 3.07*0
650 11.22+31
1.e3+1 1.39*1
C-67+0 4.43+0
2.38.1 2.31*1
7.88+0
l-17,1
7.50+0
3.*9*1 3.33+1
700 l1.28+31
1.6141
5.2i+o 4.99.0
2.68*1
8.87+0 8.15*0
3.33+1
1.57+1
3.82+1
l-32*1 X.26+1
750
1.80.1 1.75+1
5.87+0 5.58+0
2.93+1
3.4*+0
..38*l q-26*1
l-*8*1
2.05+1
2.31+1
1.e1+1
l-36+1
2.00*1 1.90.1
6.5010 6.18+0
3.31.1 3.2241
1.09+1
l
11.39+31
l.OWl
1.72*1
l-64+1 l-56*1
2.27+1 2.17*1
a50 11.4513,
2.20+1 2.19*1
7.15+0 6.81+0
3.65+1 3.54*1
1.20+1 1.15+1
1.80*1
2.50+1
l-72*1
2.39+1
11.34.3,
a00
See page 480 for Explanation
2.6011
3.31.0
of Tables
487
.85+l
1.12+1
l-83+1 1.75+1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS 7HROUGH FE ANGLE
5.00
10.00
FUHM
FYHH
15.00
zc.oc
ENERGY tF C-r!,
SD
ZDD 16.30~2t
3.23-I 3.12-1
6.93-2 6.63-2
2.23-2 2.09-i
1.12+0 l.OE+G
2.40-l 2.31-l
7.77-2 7.21-2
2.32+0 2.21*0
4.98-l 4.80-l
1.60-l 1.50-l
3.84wci 3.73+0
8.36-l 8.06-l
2.69-I 2.52-l
250 17.12+21
4.73-l 4.56-l
1.01-l 9.74-2
3.30-2 3.04-I
1.65+0 1.59+[1
3.51-1 3.37-l
1.13-I 1.05-l
3.4010 3.30+0
7.23-l 7.03-l
2.34-I 2.13-I
5.64*C 5.40+0
1.22*a 1.1a+c
3.34-l s.io-1
302 17.89+21
6.43-l 6.20-l
1.37-l 1.31-l
4.46-2 4.11-2
2.24+0 2.17+C
4.77-l 4.53-l
1.53-l 1.43-l
4.64+0 4.5010
9.91-l 9.56-l
3.1a-I 2.98-I
7.69+0 7.47+0
l-66+0 1.61+0
5.36-I 5.04-l
350 tE.61+21
8.30-l 8.02-l
1.77-1 1.70-l
5.74-2 5.30-2
2.90*0 2.81*0
6.16-l 5.33-l
1.98-l 1.84-l
6.01+0 5.Ul*0
l.ZG+O 1.23*0
9.11-l 3.86-l
9.97+0 9.69rG
2.1510 2.OGIC
6.93-l 6.52-l
900 15.30121
1.03+0 l.OU+ll
2.20-l 2.11-1
7.13-Z 6.59-2
3.62+0 3.51+4
7.67-l 7.39-l
2.46-l 2.30-l
7.51+0 7.29+0
1.59*0 1.54+0
5.12-I Q.81-1
1.24+1 1.21*1
2.6%+0 2.6C+G
8.64-l 8.14-I
450 19.36+2)
1.25+0 1.21+0
2.66-I 2.56-l
8.61-2 7.98-Z
*.lt0*0 4.27*4
9.23-l 8.96-l
2.90-1 2.73-l
3.12+0 8.86CO
1.93+0 I.G7,0
6.21-l 5.84-l
1.51*1 1.47*1
3.26*0 3.16+C
1.04+0 9.88-1
SO0 (1.06+31
1.*a+o 1.43+0
3.15-l 3.03-l
1.01-1 9.45-2
5.23+0 5.07+4
1.10'0 1.06+0
3.53-1 3.31-l
l.OWl 1.05*1
2.11+0 2.22+0
7.37-1 6.33-l
1.79+1 1.74+1
3.07+0 3.75*0
1.29*0 1.17+ll
550 ll.l2*31
1.73+0 1.67+0
3.67-I 3.53-1
J.lS-1 1.10-l
S.fO+O 5.92+0
l.zG+o 1.24*0
4.11-l 3.86-l
1.2s*1 1.22Cl
2.68+0 2 .s9*0
8.59-l 8.09-l
2.09+1 2.03+1
4.52+0 4.3GIC
1.45+0 1.37*0
600 ll.lB+Jl
1.99+0 1.93+0
4.21-l 4.05-l
1.35-l I.26-1
7.0210 6.81+0
1.47+0 1.42*0
4.73-l 4.43-I
1.45+1 1.41+1
3.08*0 2.9810
9.07-1 9.30-l
2.4x+1 2.34+1
5.20+0 5.oe+o
1.66+0 1.57+0
is0 ll.m+3l
2.26+0 z.19*0
4.78-l 4.60-l
1.54-I 1.43-I
7.98,0 7.74+u
1.67*0 1.61+0
5.36-l 5.04-l
1.65+1 1.60+1
1.12*0 1.05+0
2.74*1 2.66+1
5.91*0 5.73+0
1.63*0 1.79+0
700 l1.30+31
2.5*+0 2.16+0
5.37-l 5.17-l
1.72-1 1.60-I
8.98+0 8.72+0
1.8@0 1.82+0
6.03-l 5.66-I
1. G6Cl 1.eo+t
1.26+0 1.18+0
6.65+0 6.44+0
2.13*0 2.01+0
750 11.35+3i
2.64+0 2.75+0
5.9G-1 5.76-l
1.92-t 1.79-1
1.00+1 9.73+0
2.10+0 2.03+0
6.72-l 6.31-1
2.07+1 2.01*1
1.*0+0 1.32*0
7.42+0 7.19+0
2.3740 2.25*0
BOO l1.91,3)
3.111+0 3.04+0
6.62-l 6.37-l
2.12-1 1.98-1
1.1011 1.07+1
2.32+0 2.24+0
7.44-l 6.99-1
2.29+1 2.23*1
1.55*0 X.46*0
G.22+0 7.96+0
2.63*0 t.e9+0
850 11.47+31
3.45*0 3.35+0
?.27-1 7.00-l
2.33-1 2.17-l
1.22+1 1.18+1
2.55+0 2.47+0
8.17-l 7 -69-l
2.52+1 2.46+1
1.71+0 1.6140
9.04+0 G.76+0
2.1)9+0 2.74+0
FY .lU
so
FY.lR
ANGLE ENERGY IP c-lo
FU. 1n
SD
FU.lH
SD
FYHtl
FU.111
SD
30.00 SO
FYWM
FYHN
FY.lH
60.00 FY .I11
so
SD
FUWtl
FU.lM
i!UO ~S.SO+tl
7.60+0 7.39+0
l-73+0 1.67+0
5.60-l 5.26-1
1.1e+1 1.15*1
z.GG+o 2.78*0
3.43-l G.SD-1
1.6211 L.58*1
4.24+0 b.ll*o
l.@o+o 1.33*0
5.79+0 5.61+0
1.35+0 1.95+0
250 l7.12*2l
1.11+1 l.OB+l
2.53+0 2.45*0
8.21-I 7.75-I
1.74+1 1.70+1
4.22ro 4.03+0
1.3wo 1.30*0
2.38+1 2.32*1
6.24+0 6.05+0
2.06*0 1.96+0
8.51*0 S.25+0
2.07+0 2.72+0
300 17.89*2)
1.52+1 1.18+1
3.45+0 3.34*0
1.11+0 1.05*0
t.fG+l 2.31+1
5.76+0 5.5WO
1*a5+0 1.79+0
3.24+1 3.16+1
0.51*c a.25+0
2.82*0 2.67+0
Z.lb*l 1.12+1
3.91*0 3.72+0
350 tG.61tZI
1.97+1 I.S2+1
4.4mo @.33+0
1.~4~0 1.36*0
3.08+1 3.00+1
7.47+0 7.24+0
2.*wo 2.3lW
4.20*1 4.09+1
1.10+1 1.07+1
3.65+0 3.87,0
1.50+1 1.96*1
5.07*0 1.1)2*0
400 2.46+1 I3.30+2 1 2.39*1
s.s9+0 !3.*1*0
1.ao+o 1.71+0
3.04+1 3.74*1
9.33*0 3.05+ 0
3.0410 z.Gs+o
1.37rI 1.33*1
a.5640 w.3340
1.97+2 l.SZ+l
6.3**0 6.03*0
450 19.96+2)
2.99+1 2.91+1
6.79+0 6.58+0
2.19+0 2.07*0
4.66*1 4.5e+1
1.13+1 1.09+1
3.70+0 3.51+0
X.67+1 1.62*1
5.54*0 5.27*0
2.2aa 2.21*1
7.70+0 7.3300
500 l1.06+31
3.55+1 3.45*1
G.O6*0 7.01+0
2.60+0 2.46,0
1.34*1 1.30+1
4.39*0 4.17*0
1.99*1 1.32*1
6.53*0 6.26*0
2.70*1 Z-63+1
S.lS*O 0.71*0
550 11.12+37
4.lPIl 4.03+1
9.41ro 9.12+0
3.0340 2.88*0
1.57+1 1.52+1
5.13*0 4.1)7+0
2.31+1 2.2s+1
7.6%*0 7.32+0
3.15+1 3.07*1
1.06*1 1.01*1
600 II.IGr31
4.76*1 *.63+1
l.OB+l 1.05+1
3.e9+0 3.31*0
1.eo+1 1.75+1
5.90*0 5.6140
2.66*1 2.59*1
(1.95*0 1.*3*0
3.63*1 3.53+1
1.23*1 1.17+x
650 11.2413~
1.23+1 1.19*1
3.97+0 3.77*0
2.os*1 1.99+1
6.7190 6.3G*O
3.03+1 z.S9+1
1.0011 9.59*0
e.12+1 4.01*1
1.39*1 1.33*x
700 Il.30131
1.30+1 1.34+1
4.47+0 4.24*0
2.31+1 2.24*1
7.56*0 7.19.0
3.u+1 3.31+1
1.13*1 l.OWl
l .64+1 *.!a+1
1.57*1 l&o+1
750 Il.35131
1.54+1 I.5011
4.99ro 4.73*0
2.57+1 2.50*1
8.4340 a.oz+o
3.00*1 3.69+1
1.26+1 l.ZWl
1.75+1 1.67*1
BOO ll.41*3)
I. 71+1 1.66+1
5.52+0 5.2590
2.GWl 2.77*1
3.3e+o G.G9*0
e.21+1 b.os*l
1.40*1 1.33*1
1.9Wl 1.95*1
850 ,1.47+31
l.BB+l 1..92+1
6.08+0 !i.77+0
3.14*1 3.05+1
1.02+1 3.79a
l.SWl 1.*7*1
Z.lWl 2.04+1
See page 480 for Explanation
of Tables
Atomic Dol. and Nuclear Dot., Tables, Vol. 15, No. 5, May 1975
488
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH ZN 5.00
ANGLE
15.00
10.00 FY.lll
SD
2.17-l 2.08-l
7.02-Z 6.50-Z
2.09*0 2.03*0
4.49-1 4.32-l
1.44-1 1.35-l
3.48.C 3.37+0
7.53-l 7.27-l
2.43-l 2.27-l
l-48+0 1.43+0
3.16-1 3.04-l
1.02-l 9.49-2
3.07+0 2.97+0
6.56-l 6.32-1
2.11-1 1.97-l
5.10+0 4.95+0
1.10.0 1.06+0
3.54-l 3.32-l
4.03-2 3.71-2
2.02*0 l.YS*O
4.29-L 4.12-1
1.38-l 1.28-1
4.18+0 4.05+0
8.91-1 8.59-1
2.86-l 2.68-1
6.95*C 6.75+0
l.49.U 1.44+0
4.81-l 4.52-l
1.59-1 1.53-l
5.16-Z 4.77-2
2.61+" 2.53*0
5.53-l 5.33-l
1.78-l 1.66-I
5.41*0 s-25+0
1.15+0 1.11*0
3.69-1 3.46-1
3.00+0 e-74*0
1.93+0 1.a7+c
6.22-l 5.85-l
9.29-1 6.37-l
1.98-1 1.90-1
6.42-Z 5.93-2
3.25+0 3.15+0
6.63-1 6.63-l
2.21-l 2.06-l
6.75+0 6.55*0
l-43+0 1.38+0
4.60-l 4.31-l
1.12+1 l.OS+l
2.41+0 2.33+0
7.75-1 7 -30-l
450 ll.O0+3l
1.12+0 l-08+0
2.33-1 2.29&l
7.75-2 7.17-2
3.9510 3.83*0
8.34-l 8.03-l
2.67-l 2.50-l
8.13+0 7.96+0
X.73+0 l-67*0
5.57-l 5.23-l
l-36+1 l.32+1
2.93.0 2.03+0
9.33-1 8.85-l
500 ll.O6+31
1.33+0 1.29+0
2.83-I 2.72-1
3.16-2 8.48-2
Y-69.0 4.SS*O
9.88-1 9.53-1
3.17-1 2.96-1
9.73+0 3.45~0
t-06*0 1.39+0
6.60-l 6.21-l
L-61+1 l-57*1
3.47+0 3.36+0
1.11+0 1.05*0
550 l-55.0 ,1.12+3 3 1.5010
3.29-1 3.16-l
1.06-l 9.67-2
5.47+0 5.30+0
l-15+0 1.11'0
3.69-l 3.45-l
1.13.1 l-10*1
Z-.40+0 2.32+0
7.63-1 7.24-l
l-88+1 l-83+1
4.05+0 3.92+0
l-29+0 1.22*0
600 11.18+3)
l-78+0 l-72+0
3.78-l 3.63-l
1.22-l 1.13-l
6.29+0 6.10+0
l-32+0 l-27+0
4.23-l 3.97-1
l-30+1 l-26+1
2.76+0 2.67+0
8.84-l 8.32-l
2.17+1 2.11+1
4.66~0 4.51+0
1.49+0 1.40+0
650 Il.Z4+3)
2.02+0 l-96+0
4.29-l 4.12-l
1.38-1 1.28-l
7.14+0 6.93*0
l-50+0 1.44.0
4.80-l 4.51-1
l-48*1 1.4.*1
3.13+0 3.03+0
l.OO+O 9.,5-l
2.46+1 2.40+1
S-29+0 5.12*0
1.69*0 l-60*0
700 11.30*31
2.28+0 2.20to
4.81-1 4.63-l
1.55-l 1.44-l
8.04+0 7.8010
1.6810 l-62*0
5.40-l 5.07-l
l-67*1 l-62+1
3.53+0 3.41+0
l-12+0 l-06*0
2.77*1 2.70+1
5.95.0 5.77+0
1.90+0 l-80+0
750 11.36*31
254*0 2.46+0
5.36-l 5.15-l
1.72-1 1.60-l
8.97+0 8.71+0
1.88+0 1.81+0
6.01-l 5.65-l
l-86+1 l-81+1
3.93+0 3.80+0
l-25+0 l-18+0
3.03rl 3.01+1
G-64*0 6.43+0
2.12+0 2.01+0
800 11.42+31
2.81.0 2.72+0
5.92-1 5.70-l
1.30-1 1.77-1
9.93*0 S-64+0
2.08+0 2.01*0
6.65-l 6.25-l
2.06*1 t-00+1
4.35.0 4.21*0
X.39+0 1.31+0
3.42.X 3.33+1
7.35*0 7.12+0
t-35*0 2.22+0
850 t1,47+3)
3.09+0 2.YStO
6.51-l 6.26-l
2.09-1 1.95-1
l-09+1 1.06*1
Z-28*0 2.21’0
7.31-1 6.8?-1
Z-26+1 2.20+1
4.79+0 4.63+0
l-53+0 l.,Q+O
3.77+1 3.67.1
8.09.0 7.8410
t-58*0 2.44+0
SO
FUWN
SO
FYHN
FYHN
FY.lW
SD
ENERGY IP c-r(l
SC
200 16.32.2)
2.92-l 2.31-l
6.33-? 6.05-2
2.06-Z 1.89-2
1.01+0 3.91-1
250 4.26-1 17.1512 I 4.10-l
9.19-2 3.79-z
2.93-2 2.74-z
300 17.42+21
5.78-l 5.58-l
1.74-l 1.13-l
35U l8.64+2$
7..46-1 7.20-l
4OU 19.33+21
FYHR
FYHU
20.00 FY.lN
SD
FUWM
FU.lN
---------___---------------------------------------------------------------------------------~ ANGLE
30.00
ENERGY tP C-N,
SD
FUHH
40.00 FU.lcI
SO
FUWM
50 -00 FU.fM
60.00 FY.lM
FY.lh
200 (6.32+21
6.34~10 6.74+0
1.56*0 l-50+0
5.05-l 4.75-l
l-09*1 l-06*1
2.60*0 2.51*0
8.43-1 8.01-l
1.5111 l-47+1
3.84+0 3.7200
1.27*0 l.ZO+O
1.92*1 X.87+1
5.26+0 5.10+0
l-76+0 l-66*0
250 t7.15r2t
l.Ol+l S.SO+O
Z-28+0 2.21+0
7.33-1 6.96-1
l-61+1 1.56*1
3.81+0 3.69+0
l-24+0 l-17+0
Z-22+1 t-16*1
5.64+0 S-47+0
X.86.0 l-76+0
2.81.X 2.74rl
7.72*0 7.49eO
2.58*0 2.45+0
300 17.92+21
1.38+1 1.35+1
3.11+0 S-01+0
LOO+0 9.48-1
2.19*1 2.13+1
6.19.0 5.03*0
l-6$+0 l-60+0
3.02+1 2.95.X
7.69+0 7r46+0
2.53.0 2.40+0
3.83+1 3.73+1
1,ofj.l 1.02.1
3.52*0 3.34*0
350 t8.64+21
1.79+1 l-74+1
4.02+0 3.89+0
l-29*0 1.2210
2.83+1 2.76*1
S-73*0 6.52+0
2.19*0 t-07+0
3.91*1 3.81*1
9.96+0 S-66+0
3.28+0 3.11+0
4.95+1 4.82+1
l-36*1 L-32.1
4.56+0 4.33*0
400 l%.33+2l
2.24+1 2.18+1
S-02+0 4.86+0
l-62*0 1.53*0
3.54*1 3.44+1
8.4010 8.14*0
2.73+0 2.59+0
4.88+1 4.76+1
l-24*1 1.20~1
4.09.0 3.89+0
x.70*1 l-65+1
S-69*0 5.41+0
4so 11.00*31
2.72+1 2.‘64+1
6.09+0 5.30*0
1.96+0 l-85*0
4.29+1 4.18+1
l.Ol+l 9.83*0
3.31.,0 3.14+0
1.50+1 l-46*1
4.57+0 4.72+0
2.06*1 2.00+1
6.91*0 6.57*0
500 11.06+31
3.23+1 3.14+1
7.24*0 7.01+0
2.33+0 2.20+0
1.21+1 1.17+1
3.94*0 3.73+0
1.79*1 l-74*1
s-91+0 S-61+0
2.45+1 2.38+1
8.21+0 7.81+0
550 Il.l2+3)
3.76+1 3.s7+1
8.44+0 8.18+0
2.7200 2.57*0
1.41~1 l-37+1
4.59+0 4.36*0
2.09+1 2.03+1
6.89+0 b-55+0
2.86+1 2.78+1
3.58*0 s-13*0
600 t1.18131
4.33+1 4.21+1
9.71+0 S.bl*O
3.12+0 2.96*0
l-62+1 1.57*1
5.28+0 5.02*0
2.40*1 2.33*1
7.93+0 7.s4ro
3.28*1 3.19+1
1.10*1 1.05*1
650 (l-24+31
4.91+1 4.79rl
1.10+1 1.07+1
3.55+0 3.37+0
1.84*1 1.73+1
6.01+0 5.71*0
2.73*1 2.65+1
5.02*0 8.58+0
3.73*1 3.63+1
1.25*1 1.19*1
700 11.30+31
1.24+1 1.20+1
4.00+0 3.79+0
2.07+1 2.01+1
6.76*0 6.43+0
3.07*1 2.98+1
1.01*1 9.66rO
4.20+1 4.08+1
1.41+1 1.34*1
750 (l-36+3)
l-38+1 1.34*1
4.46+0 4.23*0
2.31*1 Z-25+1
7.54.0 7.17+0
3.42+1 3.33+1
1.13+1 1.07+1
4.68,1 4.55+1
1.57+1 1.50*1
800 (l-42+31
1.53+1 l-48*1
4.34*0 4.69+0
2.56*1 2.49*1
8.35+0 7.95*0
3.79*1 3.68*1
1.25*1 l.lS+l
1.74+1 l-66+1
850 11.47.3)
l-66+1 l-63+1
s-43*0 5.16+0
2.82+1 2.74*1
S.lS+O 8.75+0
4.17+1 4.05+1
l-38+1 1.31+1
1.91+1 l-83*1
See page 480 for Explanation
of Tables
489
Atomic Data and Nuclear Data Tabls~, Vol. 15, No. 5, MAY 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PI IOTONS TH ROUGH GE ANGLE
5.m
10.00
FYHU
2O.K
SO
200 l6.33*21
t.sa-1 2.78-l
6.27-2 5.98-2
2.05-2 1.87-2
1.0010 9.69-l
2.14-l 2.06-1
6. St-2 6.U3-2
2.07~0 t.oo+o
q.e4-1 1).27-l
1.w3-1 1.33-1
3.114.0 3.3wc
7.45-l 7.18-l
2.90-l 2.24-1
250 17.16+2)
4.21-1 5.05-l
9.09-2 8.69-2
2.9.5-2 2.71-2
1.b6.0 1.*1*0
3.12-1 3.00-I
l-00-1 9.37-2
3.03+0 2.99ro
6.48-l 6.21-l
2.08-l 1.9@-1
s.m+o 4.90*0
i.oaro 1.c5+0
3.50-l 3.28-l
300 17.93+21
5.70-l 5.50-l
1.22-l 1.17-1
3.93-2 3.66-2
1.39*0 1.93+lJ
4.23-1 4.07-l
1.36-L 1.27-1
5.13+0 4 .oo+o
8.80-l 8.48-1
2.82-l 2.64-l
6.87+0 6.67+0
1.47ro 1.42+0
4.75-l 4.46-l
350 tb,66+tI
7.36-1 7.10-l
1.57-l 1.51-l
5.12-2 4.71-Z
2.57*0 2.49*&t
5.46-l 5.25-l
1.75-l 1.63-l
5.34+0 5.18*0
1.13+0
1.090
3.66-l 3.41-L
a.ss*c 8.64+0
1.91*0 1.a*+o
6.13-l 5.77-l
400 ts.35rzt
9.16-l 8.85-l
1.35-l 1.87-l
6.34-2 5.85-2
3.21+0 3.13*0
6.79-l 6.51-l
2.18-1 2.03-l
6.66+0 6.47+0
1.11*0 1.36+0
0.53-1 S.25-1
1.11*1 1.07*1
2.38+0 2.30+6
7.64-l 7.19-1
*so t1.00+31
1.1010 1.07+0
2.36-l 2.26-l
7.65-2 7.07-2
3.89+0 3.7710
8.22-I 7.32-1
2.64-l 2.46-l
s.os+o 7.85+0
1.71*0 1.65+0
5.es-1 5.15-1
1.34*1 l.?E+l
2.as*o 2.79*0
9.26-1 8.72-l
500 11.06+3)
1.31+0 1.27+0
2.79-l 2.68-l
9.0+2 8.37-2
4.sz+o 4.1)8+0
9.71-l 9.39-1
3.12-1 2.92-l
3.60+0 9.32+0
2.03+0 1.36+0
6.51-l 6.11-l
1.59+1 1.55+1
3.*2+0 3.31*0
1.09+0 1.03+0
550 t1.13+31
1.53+0 1..9a+o
3.25-l 3.12-l
1.05-l 9.73-2
s.39*0 5.22+0
1.13+0 1.09+0
3.63-l 3.00-l
1.12+1 l.OS*l
2.36+0 2.28*0
7.58-l 7.13-l
l-86*1 1.81+1
3.99*0 3.66*0
1.27-O 1.2o+c
600 11.19+31
1.75*0 1.7010
3.73-l 3.58-L
1.20-l 1.11-l
6.19+0 6.01+0
1.30+0 1.25+0
4.17-l 3.31-l
1.28+1 1.25+1
2.72+0 2.63*0
8.70-l 8.19-l
2.1l)+1 2.08+1
4.59+0 4.41)+0
1.*7*0 l.38*0
650 l1.25+31
1.99+0 1.93+0
@.22-l 4.06-l
1.36-l 1.26-1
7.0110 6.83+0
1.47+0 1.42+0
4.73-l 4.54-l
1.16+1 1.42+1
3.09+0 2.sa+o
9.88-1 9.30-l
2.13+1 2.37~1
5.21*0 5.01+0
1.66,0 x.57+0
700 t1.31*31
t-24*0 2.17+0
0.7@-1 6.66-l
1.52-1 I .*2-1
7.92+0 7.68+0
l.OtaO 1.60*0
5.32-l 4.93-1
1.64~1 l.bO+l
3.*7*0 3.36+0
1.11+0 1.oa*o
2.74+1 2.66+1
f.86,0 6.6WO
i.a7+0 1.77*0
750 tl.36+3)
z.so+o 2.42+0
5.28-l 5.08-l
1.70-l 1.58-l
8.83+0 8.57*0
1.85*0 1.7a+o
5.92-l 5.56-l
1.83+1 1.78+1
3.87+0 3.74*0
I.2340 1.16+0
3.05+1 2.97+1
6.54+0 6.33*0
2.09*0 1.97*0
SOD (1.42131
2.76+0 2.67+0
5.83-l 6.61-l
1.87-l 1.74-l
9.77+0 9.49*0
2.01*0 1.97*0
6.55-l 6.15-1
2.03~1 1.97*1
&.28+0 4 .lWO
1.36*0 1.29+0
3.3a+i l-2%+1
7.24+0 7.01*0
2.31*0 2.lWO
850 t1.*8r3)
3.04+0 2.swo
6.@1-1 6.16-l
2.06-l 1.92-1
1.07*1 l.OWl
2.25+0 2.17+0
7.20-l 6.76-l
2.23+1 2.17+X
e.71+0 q.56+0
1.50+0 1.42+0
3.72+1 3.62+1
7.96+0 7.71*0
2.54+0 2.40+0
FU.lN
SO
.-------_
.----em--
30.00
ANGLE
FYHM
15.00
ENERGY IF C-W,
FY.lW
.___-__-_
50
.-----
FYHU
-------
FYkRl
(1.39-i 7.91-l
1.52+1 l.kR+l
3.81+0 3.68*0
3.77+0 3.65*0
1*22+0 1.16*0
2.23+X 2.17+1
2.10+1 2.12+1
5.13+0 4.97+0
1.67rO 1.58+0
1.2aeo 1.21+0
2.82+1 2.75+1
6.6WO 6.W*O
4.95+0 0.79*0
1.59+0 1.50+0
3.52+1 3.43+1
2.69+1 2.62*1
6.01~0 5.82+0
1.93+0 1.83tO
4.27+1 0.16+1
500 tl.o6+3l
3.20+1 3.11+1
7.13+0 6.91+0
550 11.13*31
3.73+1 3.63+1
600 t1.19*31 650 11.25+31
200 :6.33+2l
6.89+0 6.6SrO
1.5a+o 1.*3+0
4.93-1 4.69-l
1.03*1 1.06+1
2.57+0 2.49+0
250 l7.16r21
l.Ol+l 9.82+0
t.PS+O 2.18+0
7.29-l 6. a7-l
l-60+1 1.56+1
300 17.93*21
1.37+1 1.33*1
3.07*0 2.97ro
9.91-1 9.35-l
350 ta.66+21
1.70*1 l-73+1
3.97+0 3.81+0
400 l%.35+2l
2.22+1 2.16+1
aSO f1.00+3)
FY.lM
60.00 SO
FYHM
1.26*0 1.11)*0
1.93+1 l.aa+l
5.22*0 5.05+0
1.7wo
5.55+0 S.el*O
1.03*0 1.74*0
2.53+1 2.76+1
7.65W 7.42*0
2.55*0 2.*2*0
3.03+1 2.9s+1
7.61*0 7.37+0
2.50+0 2.37+0
I.ab*l 3.76+1
1.oe*1 l.Ol*l
3.47+0 3.29*0
2.16+0 2.owo
3.92*1 3.1)2+1
9.85*0 3.55+0
3.23+0 3.07*0
4.98+1 e.a6*1
1.35+1 1.31*1
4.50*0 4.27+0
8.29*0 a.owo
2.69+0 2.55+0
@.89+1 b76+1
1.22+1 1.191
bow0 3.83+0
1.6Srl 1.63+1
5.61*0 5.3wo
i.oa+l 9.75*0
3.27+0 3.10*0
1.ev+1 1.41+1
e.so*o 4.65*0
2.04*1 i.va*i
6.81*0 6.45+0
2.29*0 2.17+0
1.19+1 1.15*1
3.ss+a 3.68+0
1.77+1 1.71+1
5.5210 5.5340
2.42*1 2.35*1
8.09*0 7.70+0
8.32*0 8.06+0
2.6arO 2.53+0
1.39*1 1.35*1
4.52+0 4.29*0
2.06+1 2.00*1
6.79+0 6.4WO
2.83*1 2.74+1
9.45*0 a.99*0
4.29*1 l.lR*l
9.57ro 9.27+0
3.08+0 2.91ro
1.60+1 1.55+1
5.20+0 bsq*o
2.37+X 2.30*1
7.Sl*o 7.43+0
3.25*1 3.16+1
1.01*1 1.03*1
4.87*1 4.74+1
1.08+1 1.05+1
3.5010 3.31+0
x.82+1 1.76*1
5.91ro 5.62*0
2.69+1 2.62*1
S.SL*O 8.45+0
3.69+1 3.59+1
1.23*1 1.17*1
700 11.31*31
1.22+1 1.x.8*1
3.93+0 3.73-o
2.OIll l.sa*i
6.65+0 6.32+0
3.03+1 2.Vwl
s.vs+a sr51+0
4.15+1 4.OUl
I.3911 1.32~1
750 11.36+3)
1.36*1 1.32+1
4.33*0 1.16+0
2.28*1 2.21+1
7.42+0 7.06'0
3.3a+1 3.2801
1.11+1 l.OC+l
4.63+1 l .50+1
1.55+1 1.47+1
BOO 11.*2+3)
1.51+1 1.46.1
@.86+0 q.61*0
2.52+1 2.45+1
8.22+0 7.a2+0
3.7**1 3.6@+1
1.23*1 1.17+1
1.71+1 1.63-l
a50 t1.wa.31
l-66*1 l-61+1
5.34+0 5.07+0
2.78*1 2.70*1
9.01+0 a.60*0
l *11*1 q.o0*1
1.3541 I.tS*l
1.sa*1 i.ao+i
See page 480 for Explanation
FY .ln
FUHM
--_
so
FYHW
SO
so.00
40.00
FYWI
ENERGY IP c-n,
FM .lN
so
SD
FY.lW
of Tables
490
FM.111
FY.lH
1.64*0
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS 5.00
ANGLE
THROUGH K9
10.00
6.50-Z 6.01-Z
1.93*0 l-87+0
@.l@-1 3.98-1
1.33-1 1.21-l
3.22+0 3.12+0
6.35-l 6.69-1
2.24-I 2.05-1
2.91-1 2.80-l
9.42-2 8.7*-z
2.8210 2.7*+0
6.09-l 5.81-l
1.96-l 1.81-1
q.71*0 1).57+0
l.Cl*C 9.78-1
3.26-l 3.05-l
1.e5+0 1.79*0
3.9Y-1 3.73-l
1.27-1 1.18-1
3.88+0 3.72+0
8.19-1 7.89-1
2.63-l 2.46-l
6.11+0 6.22+0
1.37+C 1.32+0
4.12-l P.lS-1
Q-78-2 4.39-2
2.39+0 Z-32+0
5.08-l q-89-1
1.63-I 1.52-l
1.97+0 *.az*o
l.OS+O 1.01+0
3.39-1 3.17-1
8.29+0 G.os+o
1.77+0 1.71+0
5.70-l 5.36-l
1.82-I 1.79-l
5.92-2 5.115-Z
2.98+0 Z-89+0
6.32-l 6.08-l
2.03-l 1.89-1
6.19+0 6.01’0
1.31*0 1.26+0
4.21-l 3.95-l
1.03*1 1.00+1
2.21*0 2.13+0
7.10-l 6.67-l
1.03*0 9.35-1
2.20-l 2.11-l
7.13-2 6.58-Z
3.61+0 3.50+0
7.6+-1 7.36-l
2.115-l 2.23-1
7.51*0 7.29+0
1.59*0 1.53+0
5.10-l Q.78-1
1.25*1 l.Zl+l
2.68*0 2.59+0
8.53-1 8.09-l
500 ll.D7+31
1.2210 1.17+0
Z.EO-1 2.@9-1
B.@Z-2 7.78-2
4.29+0 4.15+0
9.05-1 8.71-1
2.90-l 2.71-1
6.92+0 8.66+0
l.W*O 1.82*0
6.01-I 5.67-l
l.qG+l 1.ee+1
3.18+0 3.07+0
1.01+0 9.59-1
550 11.13+31
1.42+0 1.37+0
3.02-l 2.90-l
3.77-2 9.OY-2
5.00+0 q.Bl+O
1.05*0 l.Ol+O
3.36-l 3.16-l
1.01*1 l.Ol+l
2.19+0 t.lt+O
7.03-I 6.61-l
1.73+1 1.68*1
3.7O+C 3.58+0
l.lG+o 1.11+0
600 ,1.19+3,
1.63+0 1.57+0
3.46-l 3.32-l
1.11-1 1.03-l
5.7400 5.57*0
L.ZO+O 1.16*0
3.87-l 3.62-l
1.19+1 1.16+1
2.5220 Z-*3+0
8.07-l 7.59-1
1.99+1 l.Sq+l
4.25+0 4.11+0
1.36*0 1.28.0
650 11.25+3)
1.85+0 1.79*0
3.32-1 3.77-l
1.26-l 1.17-l
6.62+0 6.33+0
1.37+0 1.32+0
Q.39-1 11.11-l
1.35+1 1.32+1
2.86+0 2.76*0
9.16-1 8.62-l
2.26+1 2.2011
6.83*0 q.67+0
l.lVO 1.@6+0
700 11.31+31
t.oa+o 2.01+0
q.qo-1 4.23-l
1.42-l 1.31-1
7.3**0 7.12*0
1.51ro 1.@8+0
4.93-1 Q.62-1
1.52*1 l.qWl
3.2200 3.11+0
1.a2*0 9.63-1
2.55+1 Z.qG+l
5.@3+0 5.26+0
1.73+0 1.5q+o
750 11.37+31
2.31+0 z.zq+o
4.30-1 @.71-l
1.58-1 1.66-l
a.lG+o 7.9@*0
1.71*0 1.65+0
s.qs-1 5.15-l
1.70+1 1.65+1
3.58*0 3.@7+0
l.lWO 1.08+0
2.8e+f 2.76+1
6.06*0 5.86+0
1.93+0 1.03+0
800 11.63.3,
2.56+0 z.qa+o
5.61-l 5.20-l
1.7+1 1.62-1
9.05*0 8.79+0
1.89+0 1.83+0
6.07-l 5.69-l
1.88*1 1.83+1
3.97*0 3.Gq*O
l.Zb+O l.lS+O
3.1Wl 3.05*1
6.70+0 6.19+0
2.lWO 2.02~U
850 ll.q8*3)
t.s1*0 2.72rO
5.94-l 5.71-1
1.91-1 1.78-l
9.96+0 9.66*0
2.08+0 2.01+0
6.67-l 6.26-1
2.07+1 2.01+1
4.36+0 4.22+0
1.39+0 1.31+0
3.*6+1 3.36+1
7.37*0 7.1wo
2.35*0 2.22+0
200 ,6.35+2,
2.69-l 2.59-1
250 17.1ErZI
FUHM
FY.lR
SO
5.87-2 5.60-Z
1.32-2 1.75-Z
9.35-1 9.04-l
2.00-l 1.92-1
3.32-l 3.78-l
8.50-Z 8.12-Z
2.77-2 2.53-2
l-36+0 1.32+0
300 17.95+2,
5.31-1 5.12-I
1.19-l 1.03-1
3.73-2 3.*2-z
350 l8.68+21
6.85-l 6.61-1
1.*7-l 1.10-l
*oo 19.38+21
8.52-l 8.22-1
450 ll.o0+3l
FY.111
zo.oc
FYHR
SO
FYHK
15.00 SD
ENERCY ,P c-n,
FY.lK
SO
FYHK
____________________-------------------------------------------------------------------------ANGLE ENERGY IP c-n1
30.00
------
qo.00
SO
FUHK
SO
FWlll
200 ,6.35+2,
6.47+0 6.2GrO
1.43+0 1.38+0
q.65-1 q.36-1
1.03+1 l.OO*l
Z.qO+O 2.32*0
250 ,7.X8.2,
S.bS+O 9.22*0
2.10+0 2.03+0
6.73-l 6.33-l
l.Sl+l 1.@7+1
300 l7.95+21
1.29+1 1.25*1
2.86+0 2.76*0
9.22-1 8.68-l
350 18.6812l
1.67+1 1.62+1
3.63*0 3.57.0
NO0 19.38+2b
2. on+1 2.02*1
150 s1.00+31
50.00 FY.lW
60.00
SO
FYHM
FY.lW
SO
FYIIK
FY.lM
7.82-l 7.36-l
l.q5+1 l.ql+l
3.56+0 3.w+o
1.16+0 1.10+0
l.G6+1 1.a1+1
1.89+0 5.73*0
1.62+0 1.13*0
3.51+0 3.qo+o
l.lq+O 1.07+0
2.12+1 2.07+1
5.21+0 5.0590
1.71*0 1.61+0
2.73+1 2.66+1
7.16+0 6.94*0
2.37*0 2.25*0
2.06rl Z&0*1
W.78*0 9.63*0
1.55+0 1.45+0
2.09+1 Z-81+1
7.10+0 6.88+0
2.32*0 2.20+0
3.71+1 3.61*1
¶.7S+O 9.45*0
3.23*0 3.05+0
1.19+0 1.12+0
2.67+1 2.59+1
6.13.0 5.99+0
2.00+0 1.89*0
3.73+1 3.6@+1
9.18,0 8.90+0
3.01*0 Z.BS+O
l .Gocl q.67+1
1.26+1 1.22+1
q.u*o 3.97+0
@.CO+O ll.qs+o
l.IG+O 1.eo+o
3.33+1 3.21r+1
7.71+0 7.47*0
2.60+0 2.36*0
L65*1 4.53+1
l.lb+l l.llfl
3.75+0 3.56+0
1.57*1 1.52*1
5.22*0 q.95*0
2.52+1 2.45+1
5.5e+o 5.&0+0
1.79+0 1.69+0
e.o3+1 3.33+1
S-36*0 3.07+0
3.03+0 2.87+0
1.38+1 1.3q+1
1.55*0 q.32.0
1.90+1 1.45+1
5.33+0 6.01*0
SOD 11.07+31
2.99+1 2.91+1
6.62+0 6.91*0
2.13*0 2.01*0
q.78+1 q.66+1
l.ll+l 1.07+1
3.60+0 3.@1*0
1.6q+l 1.60+1
s.10*0 5.13*0
2.25+1 2.19+1
7.51*0 7.1wo
550 i1.13+31
3.19+1 3.1)0+1
7.72+0 7.9a*o
2.qGro 2.35+0
1.29+1 l-25+1
q.19+0 3.38+0
l.SP+l l-86+1
6.30+0 5.98+0
2.64+1 2.56+1
8.75+0 8.3WO
600 11.19r3l
').Ol+l 3.91+1
.3..3**0 8.6010
z..Ss*o 2.70+0
1.qa*1 l.*#+l
1.82*0 4.5a+o
2.21+1 2.lWl
7.24+0 6.81+0
3.03+1 2.95+1
1.00*1 9.59*0
650 ,1.25.3,
II.S6+1 q.@qrl
l-00+1 9.78+0
3.21.0 3.07+0
l-63*1 1.6@+1
5.18*0 5.20+0
2.51*1 z.q3*1
8.23+0 7.83+0
3.qee1 3.35*1
l.lWl 1.09*1
700 11.31+3:
1.13+1 1.10*1
3.61)+0 3.45+0
l.SO+l 1.aq+1
6.16+0 5.05+0
z.e2+1 2.7q+1
9.26+0 a.a1*0
3.a7*1 3.76+1
1.2Wl 1.22*1
750 11.37+31
1.26+1 1.22+1
q.06+0 3.*5+0
2.12+1 2.06+1
6.87+0 6.53+0
3.X5.1 3.06+1
1.03+1 S&3*0
q-32+1 q.20+1
1.*3*1 1.37+1
800 11.*3*3,
1.*0*1 1.35+1
q.50+0 4.26+0
2.3@*1 2.28*1
7.61+0 7.23*0
3.*e*1 3.38+1
1.1*+1 1.om1
1.7a+1 4.65+1
1.59+1 1.51*1
850 ll.Y8+31
1.55+1 1.99+1
q-9*+0 4.69+0
2.5**1 2.5011
a.37ro 7.96*0
3.a3+1 3.72.1
1.25*1 1.191
See page 480 for Explanation
FU.lW
FU.ltl
1.75+1 1.67+X
of Tables
491
Atomic Dab md Nuclear Data Tables, Vol. 15, No. 5, MaY 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTON5 TtlR0u5H AWRLE
5.00
EnaRw
SO
l0.W
fYH*
fY.lI(
so
ZR 15.00
fINIn
fY.l)I
so
LO.00
fYW?l
fY.lN
so
fliWM
fY.lN
IPC-ll) 2M l6.35*2#
2.w-1 2.33-l
5.31-r 5.06-2
1.14-2 1.55-2
o.e2-1 l .lS-1
l.w-1 1.73-t
5.56-2 S-Nil-2
1.7110 l.W*O
3.73-l 3.5S-1
1.25-a 1.12-l
2.¶0*0 2.61*0
6.25-l 6.02-l
2.01-l l.W-1
250 l7.19~2~
3.53-l 3.@0-1
1.67-2 7.32-2
2.55-2 2.25-2
1.22+0 1.28+0
2.62-i 2.51-l
8.19-2 7.B6-2
2.5110 2.Q6*0
6.*3-1 5.22-l
1.75-l 1.63-l
l .21*0 @.ll+O
9.11-1 6.76-l
2.93-1 2.71-l
300 17.96*21
@.77-l a.60-1
1.03-l
3.36-2
1.66+0
3.58-l
7.35-l
2.36-l
5.76+0
3.00-P
l.Cl+O
f&O-l
1.14-l 1.05-l
3.*5*0
3.66-2
3.34*0
7.05-l
2d?u-1
5.53+0
1.23*0 1.19*0
3.97-1 3.72-l
6.15-l
l6.69~21
350
5.93-1
1.32-l 1.26-l
Q.31-2 3.95-2
2.15*0 2.06*0
6.56-l 4.39-1
1.@7-1 1.36-I
@.Q6*0 e.32*0
9.48-1 9.13-1
S.OS-1 2.54-l
7.Q6+0 7.23+0
1.59*0 1.53+0
5.12-l e.sa-1
QOO 19.39+21
7.64-l 7.37-l
1.61-l 1.57-l
5.33-2 e.SO-2
2.67*0 2.69+0
5.67-l 5.15-l
1.52-I 1.70-l
5.56*0 5.39*0
1.17*0 1.13*0
3.76-l 3.5b1
9.25+0 S.OZ*O
1.36*0 l.Yl*O
6.36-l 5.93-1
460 ll.00~3)
3.24-1 5.92-1
1.97-1 l.SY-1
6.42-2 5.91-2
3.21*0 3.lWO
6.55-l 6.59-1
2.20-l 2.05-l
6.7WO 6.5*+0
1.@2*0 1.37+0
*.57-1 *.2a-1
1.12*1 l.OY+l
2.*0*0 2.32*0
7.70-l 7.24-l
500 11.07+31
l.OS,O 1.05+0
2.33-l 2.2@-1
7.57-2 6.95-2
3.6VfO 3.72*0
8.11-l 7.61-l
2.60-l 2.@3-1
7.99+0 7.76+0
1.69*0 X.63+0
5.41-l 5.06-l
1.33+X 1.29+1
2.5*+0 2.75+0
3.12-1 6.56-l
560 ll.l3+31
1.27rO 1.23+0
2.71-l 2.60-l
0.70-2 6.12-2
8.47*0 4.36+0
9.14-1 9.09-1
3.03-l 2.63-l
9.32*0 Y.OI+O
1.96+0 1.as+o
6.30-l 5.91-1
1.55+1 1.51+1
3.31+0 3.20+0
1.06+0 1.00+0
600 l1.19r31
1.46+0 1.41+0
3.11-l 2.96-1
1.00-I 9.30-2
5.11*0 @.YO+O
l.OO+O l.OI+O
3.17-l 3.2b1
1.07+1 l.O*+l
2.26+0 2.16+0
7.23-l 6.79-1
1.79*1 1.74+1
3.61+0 3.66+0
1.22+0 1.14*0
650 t1.25+31
1.65+0 1.60+0
3.52-l 3.36-l
1.13-I 1.05-l
5.6*+0 5.66+0
l.tt*O LlO+O
3.93-1 3.68-l
1.21*1
2.56+0
1.16+1
2&7+0
0.29-1 7.71-l
2.03+1 1.97+1
q.3240 W.l6+D
1.3a*o 1.30+0
700 11.31+31
1.86.0 1.00*0
3.95-1 3.73-1
1.27-l 1.16-l
5.56+0 6.37*0
1.37*0 1.33*0
4.@2-1 a.l3-1
1.36+1 1.32+1
Z.66*0 2.76+0
9.21-1 6.66-l
2.26+1 Z.ZZ*l
W.664.70*0
1.55+0 1.46+0
750 11.37+31
2.07.0 2.00+0
,.39-l 2.22-l
1.,1-l 1.31-l
7.32+0 7.10+0
1.53+0 l.W+O
4.92-1 ,.61-l
1.52*1 l.M+l
3.21+0 3.10+0
l.OP+O 3.66-1
2.55+1 2.*6+1
5.42*0 5.29+0
1.73*0 1.63*0
500 l1.@3*3)
2.29+0 2.21+0
4.85-l Q.66-1
1.56-l 1.45-l
O.lO*O 7.66~0
1.69+0 1.63+0
5.@3-1 5.09-1
1.66+1 l.hl*l
3.55*0 3.*3+0
l.lS+O 1.06*0
2.02*1 2.7a+l
5.99+0 5.6O.C
1.91+0 i.ai+o
650 ll.~9*3l
2.52+0 2.*3+0
5.32-l 5.12-l
1.71-l 1.59-1
5.30+0 6.6410
l.OC*O I.BO+O
5.97-1 6.60-1
1.55*1 l.ao+i
3.90+0 3.77+0
1.2WO 1.17+0
3.10+1 3.01+1
6.59+0 6.30+0
2.10+0 1.99~0
FUNN
.____---_.----_--_ .-------SD
FYHN
SO
FUWl
200 16.35+21
5.6640 5.68+0
1.29+0 lIZI*
e.15-1
9.u*o
3.92-1
9.1*+0
2.16+0 2.09+0
260 l7.19*2)
0.57+0 6.32+0
1.a9*0 1.e2+0
6.10-l 5.73-l
1.37*1 1.33*1
300 l7.36+Zl
1.16rl 1.13+1
2.56*0 2.ma*o
0.27-i 7.70-1
350 15.69+21
1.16rl
1.50+1
3.31*0 3.20+0
1.06+0
ENEMY
IP
,--------
-- ------
FM .lN
50.00
60.00
SD
FYHll
FY.lM
SO
7.03-l 6.61-l
1.3241 1.29*1
3.21+0 3.10+0
1.05+0
1.72+1 1.67,1
4.*1*0
3.91-1
,.27*0
1.46*0 1.37*0
3.16+0 3.06+0
l.OZ*D 9.67-1
1.9e+1
4.65*0 Q.Sb+O
1.6310 x.*5*0
2.51+1 2.@5*1
6.46+0 6.25+0
2.13*0 2.02+0
1.07*1 1.52*1
*.30*0 1.16*0
1.39*0 1.31*0
2.6@+1 2.67*1
2.06+0 1.97+0
3.*2+1 3.33+1
6.76+0 5.51*0
2.9WO 2.75+0
1.00*0
2.q2+1 2.35*1
5.56rO 5.30+0
t.ao*o I.7010
3.41*1 3.32*1
6.25*0 a.oo+o
2.69+0 2.55*0
a.e2+1 4.30+1
1.1341 1.10*1
3.75*0 3.56+0
4.25*1
1.02*1 9.91*0
3.36*0 5.15+0
1.41*1 1.37+1
4.67*0 e.*4+0
FY.lW
FY.ln
C-MI
1.09+1
l oo l9.33+2a
1.aa*1 i.az+i
5.13+0 3.93+0
1.32+0 1.25+0
3.02*1 2.3Wl
6.92*0 6.71+0
2.2**0 2.12*0
660 11.00*3)
2.27+1 2.21+1
5.00+0 l .0**0
1.60+0
3.66+1 3.56+1
a.39*0 0.13*0
2.71+0 2.67+0
1.24*1 l-21,1
Q.o7*0 3.66*0
1.7141 1.66+1
5.67*0 5.30+0
500 ll.O7+31
2.70+1 2.63+1
5.93*0 5.7wo
1.90+0 1. no*0
9.36+0 9.66+0
3.2210 3.05+0
1.46,1
4.53+0 ,.59+0
2.03+1
1.*3*1
1.97*1
6.73+0 6.39+0
550 sl.13+31
3.15*1 3.06+1
6.92*0 5*70+0
2.22*0 2*10+0
1.16+1 1*12*1
3.75+0 3.56*0
1.72*1 1.67*1
6.64*0 s-35*0
2.37+1 2.30*1
7.a5+0 7A6+0
600 1L.l9+3l
I&2+1 3.62rl
7.95+0 7.70*0
2.65+0 t.u1*0
1.33+1 1.29+1
4.31*0 4.09*0
1.5a*1 1.32+1
6.@6*0 6.15+0
2.73*1 2.65*1
9.02*0 0.56,D
660 ll.25*3)
4.11+1 *.OO+l
9.03*0 5.7s*o
2.90+0 2.74+0
1.51*1 1.17*1
e.90*0 8.66CO
2.25*1 z.ia*i
7.36*0 7.00+0
3.1011 3.01+1
1.02+1 9.7600
700
Q.St+l l .50+1
1.01*1 Y.YWO
3.26+0 3.05*0
1.70+1 1.65*1
6.51*0 5.23*0
2.63*1 2.t6*1
5.26+a 7.67,0
3.a41 3.31*1
1.09~1
760 11.37*3~
1.x3*1 1.09*1
3.53ro 3.u*o
1.90*1
l.BWl
C.lWO 6.53*0
2.82,1 2.7@*1
9.23rO 5.7I)+o
3.66+1 3.77+1
l.ta+i 1.22*1
a00 Il.w3*3)
l.LS*l 1.21+1
e.o2*0 3.51*0
2.10*1 2.0*+1
5.5O+D 6.46*0
3.12rl 3.03+1
1.02*1 3.72+0
l .29*1 e.17+1
1.4211 1.39+1
B50 ll.~Y*J~
1.37+1 1.33*1
a.QZ+O
2.31+1 2.2Wl
7.40+0 7.11+0
3.*3+1 3.3.a
1.12*1 1.07+1
l .72*1
1.56*1
~.lS~O
*.59*1
1.*9+1
ll.31*3)
See page 480 for Explanation
Atomic
--_
40.00
30.00
AWSLE
.- ----
Data and Nuclei Doblabbr,Vol.
1.52*0
of Tables
15, No. 5, May 1975
492
4.lWl
1.16+1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
TABLE I. Target Thickness (in g/cm’)
Tables
vs. Angular Spread (in mrad)
PROTONS THROUGH 10 ANGLE
5.00
ENERGY IP C-RI
FUHN
SD
10.00 FU.lR
SO
FUHH
15.00 FY.lM
SO
FYHM
20.00 FU.lW
SO
FYHW
FU .lN
200 l6.37+21
2.15-l 2.07-I
4.74-2 4.51-2
1.56-7 1.41-Z
7.45-l 7.19-I
1.60-I 1.53-I
5.22-2 4.81-Z
1.5.rO 1.a9.0
3.31-l 3.17-l
1.07-l
2.57+0
5.58-l
9.93-2
2.,5+o
5.33-l
1.78-l 1.66-A
250 17.20+2)
3.12-1 3.01-I
6.63-Z 6.51-Z
2.24-Z 2.03-2
1.08.0 1.09.0
2.32-l 2.23-l
7.54-2 6.96-2
2.24+0 2.17+0
4.60-l 4.62-l
1.55-1 1.,.-l
3.75+0 3.63.0
5.06-l 7.76-l
2.59-l 2.42-l
300 17.98rZI
4.22-l Q.O6-1
9.17-2 8.75-2
3.00-2 2.73-2
1.47+0 1.92+0
3.14-I 3.01-I
1.01-I 9.90-P
3.04+0 2.95.0
6.,9-l 6.25-l
2.09-L 1.95-I
5.09.0 4.94.0
1.09.0 1.05+0
3.51-l 3.28-l
350 18.71+21
5.43-l 5.23-l
1.17-I 1.12-I
3.83-Z 3.50-2
1.99+0 1.83+0
4.03-l 3.67-i
1.30-I 1.20-I
3.93.0 3.a1+0
8.36-l 8.05-l
2.69-l Z.Sl-1
6.500 5..3n+o
l.,O+D 1.35ro
4.51-l 4.23-l
YOO 6.74-l I9.41.2 1 6.1)9-l
1.45-l 1.38-l
4.73-2 4.34-2
2.35*0 2.28*0
5.00-I
1.61-I 1.@9-1
4.69.0
1.03+0
4.81-l
b79.0
l.OD+O
3.33-l 3.12-1
6.19.0 7.95.0
1.74+@ 1.65+0
5.61-I 5.26-l
"50 11.00+31
8.14-l 7.85-l
1.75-l 1.67-l
5.63-Z 5.23-2
2.86+0 2.76+0
6.04-l 5.81-I
1.94-l 1.81-I
5.93.0 5.75+0
1.25+0 1.21**
4.03-I 3.77-l
9.93+0 9.64.0
2.11.0 2.04+0
6.78-l 6.36-l
500 11.07+31
9.63-l 9.29-l
2.06-I 1.97-l
6.70-2 6.17-2
3.37+0 3.27+0
7.14-l 6.87-l
2.30-l 2.11-l
7.03+0 6.82~0
1.en*o 1.13+0
4.77-l @.46-1
1.17+1 1.14.~
2.50*0 2.41+0
5.02-l 7.54-l
550 ll.13+3)
1.12+0 1.08.0
2.39-l 2.23-l
7.77-z 7.16-2
3.93+0 3.81+0
8.30-I 7.39-l
2.67-l 2.49-1
8.19.0 7.95.0
1.73+0 1.66+0
5.54-l 5.19-l
1.37+1 1.33+1
2.91+0 2.a1+0
9.34-l 0.78-l
600 11.20+31
1.28+0 l-24+0
2.74-l 2.63-l
8.83-2 8.20-2
9.51+0 4.37+0
9.52-l 9.17-l
3.06-l 2.85-I
9.41+0 9.13.0
1.96+0 1.91.0
6.36-l 5.96-l
l-57*1 1.53+1
3.3,+0 3.23+0
2.07*0 1.00+0
650 11.26+31
l.YS+O 1.40+0
3.10-I 2.97-l
1.0s1 9.28-Z
5.1210 4.97.0
1.07+0 1.01+0
3.46-l 3.23-l
1.06+1 1.03.1
2.25+0 2.17+0
7.21-1 6.76-I
1.79+1 1.79.1
3.79+0 3.67+0
1.21ro 1.14.0
700 ll.32+31
1.63*0 1.58.0
3.48-l 3.33-l
1.12-l 1.04-I
5.76+0 5.58+0
1.21to 1.16.0
S.BB-1 3.63-l
1.2011 1.16+1
2.52+0 2.Wb.O
6.09-1 7.60-l
2.01+1 1.95+1
4.26+0 4.12+0
1.36*0 1.20+0
750 11.38+3,
1.a2+u 1.76.0
3.87-l 3.71-I
1.25-l 1.15-I
6.4210 6.22+0
1.34+0 1.30+0
4.32-l 4.01-l
1.33+1 1.30+1
t.n1+0 2.72+0
9.01-l 8.46-l
2.24*1 2.18+1
4.75*0 q.59+0
1.52+0 1.43+0
800 11.13+31
2.01*0 1.94+0
4.27-l 4.10-I
1.38-l 1.27-I
7.1o+u 6.88+[1
1.99+0 1."3+0
4.77-l 4.47-l
l.q8+1 l-43+1
3.11+0 3.00+0
9.95-l 9.36-l
2.48+1 2.,1+X
5.25+0 5.oa+o
I.6810 1.58*0
850 ll.b3+Jl
2.21+0 2.13+0
4.68-l 4.50-I
1.51-l 1.90-I
7.ao+o 7.57+0
1.63*0 1.57+0
5.24-l 4.91-I
1.62.X 1.58+1
3.4210 3.30+0
1.09.0 1.02+0
2.7211 2.65+1
5.77+0 5.59+0
1.a1*0 1.74*0
,__---___ ANGLE ENERGY IP C-III
90.00
30.00 so
FYHH
FY.lti
SO
FUHM
50.00 FU. lfl
SO
FUHM
60.00 FU.lW
SD
FYWM
FU.111
200 16.37.21
5.21+0 5.05+0
1.14+0 1.10+0
3.70-l 3.96-I
1.31+0 1.85+0
6.21-l 5.84-l
I.2011 1.16+1
2..94+0 2.75+0
8.75-l
1.57*1 1.52+x
3.92+0 3.79+0
1.29+0
n.19+0
250 17.20121
7.62+0 7.39.U
1.61+0 1.61+0
5.39-l 5.05-I
1.23+1 1.13+1
2.79.0 2.7010
9.06-I 8.53-l
1.75+1 1.70+1
4.15+0 4.02.0
1.35+0 1.2710
2.29*1 2.23+1
5.72+0 5.54+0
1.88*0 1.7a+o
300 17.3a+21
l-03+1 1.00+1
2.2610 2.1a+o
7.29-l 6.66-l
1.67+1 1.63+1
3.79+0 3.67+0
l-22.0 1.15+0
2.38+1 2.32+1
5.64+0 5.46+0
1.09.0 1.73+0
3.12+1 3.03+1
7.79+0 7.54+0
2.55+0 t.e2+0
350 i8.71+2)
1.33+1 1.3011
2.92+0 2.82,0
3.40-l 8.85-l
2.16+1 2.10+1
9.90+0 9.7e.o
1.5a+o 1.49+0
3.0811 3.00+1
7.29+0 7.06+0
2.37+0 2.21+0
4.03+1 3.92+1
1.00+1 9.74+0
3.30+0 3.13+0
400 l3.41+21
1.66,1 1.62+1
3.63.0 3.51+0
1.16,0 1.10+0
2.70+1 2.62,1
6.1010 5.90+0
1.97+0 1.86.0
3.81.1 3.74+1
9.on+o 8.80+0
2.95.0 2.50+0
1.25+1 1.21*1
4.11+0 3.90.0
150 11.00+31
2.02+1 1.96.1
q.bO+O 4.26.0
1.*1*0 1.33*0
3.27+1 3.1s+1
7.39.0 7.16+0
2.3810 2.25+0
Q.65.1 4.52.1
1.10+1 1.06+1
3.58iO 3.39.0
1.51+1 1.47+1
w.90+0 q.73+0
500 il.07131
2.39+1 2.33+1
5.21+0 5.05+0
1.67+0 1.58+0
3.87+x 3.77+1
8.76+0 a.49+0
2.s3+0 2.67+0
1.30.1 1.26+1
*.29+0 4.02+0
l.bo*l 1.74+1
5.91*0 5.61*0
550 ll.13+31
2.73+1 2.71+1
6.08.0 5.88+0
1.95.0 1.n4*0
e.51.1 4.33+1
1.02+1 9.90*0
3.29+0 3.1210
1.52+1 1.97+1
ll.95+0 b.69.0
2.09+1 2.Lllrl
6.(19+0 6.54+0
600 Il.20+31
3.20.1 3.12+1
6.98+0 6.76+0
2.2410 2.11*0
1.17+1 1.13+1
3.70+0 3.5nto
1.74+1 1.69+1
5.6810 5.39+0
2.Wl.l 2.34+1
7.92+0 7.53+0
650 11.26~31
3.64+1 3.54.1
7.92+0 7.67rO
2.54.0 2.90+0
1.33+1 1.23+1
II. 30.0 4.07+0
1.98.1 1.92.1
6.45+0 6.13+0
2.73+1 2.65+1
a.99+0 9.55+0
700 ll.32+31
9.09.1 3.98.1
8.9lTO 8.63+0
t.as*o 2.7010
1.19.1 1.q5.1
4.a3+0 9.58.0
2.23+1 2.16+1
7.26*0 6.59+0
3.07*1 2.98.1
1.01*1 9.62.0
750 11.38i31
11.5511 9.43+1
9.93*0 9.62+0
3.18.0 3.01+0
l-66.1 1.61+1
5.3*+0 5.11+0
2.118.1 2.91.1
a.o9+0 7.69+0
3.4211 3.33+1
1.12*1 1.07+1
803 11.43+31
1.09.1 1.06+X
3.5210 3.33+0
1.84.1 1.73+1
5.96.0 5.65+0
2.75+1
n-95*0
2.67+1
6.5lSO
3.79.1 3.65+1
1.24*1 l.lWl
850 ll.49*31
1.20+1 1.17*1
x.87+0 3.66+0
2.03+1 1.97+1
6.55+0 6.22+0
3.02+1 2.93.1
9.05+0 9.36.0
4.16+1 4.05.1
1.37+1 1.30+1
See page 480 for Explanation
a.*3+0
9.29-l
1.21+0
of Tables
493
Atomic Data and Nuclear Doto Tables, Vol. IS, No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH CS ANGLE ENERGY IP c-n,
5.00
SD
FUHM
10.00 FU.lM
SO
FYUH
15.00 FY.lPI
FYHN
20.00 FU.lN
SO
FUHR
FU.111
200 16.3612,
2.01-l 1.93-1
4.47-z 4.24-Z
1.47-2 1.33-2
6.35-1 6.70-l
1.50-l 1.43-l
4.90-z 4.49-2
1.43+0 1.3a+o
3.03-1 2.96-1
1.00-t 9.26-2
2.39*0 2.31+0
5.16-l 4.96-1
1.67-1 1.55-l
250 17.22ri1
2.31-1 2.80-l
6.41-Z 6.10-Z
2.11-Z 1.51-2
1.00+0 9.74-1
2.17-l 2.08-l
7.06-Z 6.50-Z
2. os+o 2.02+0
4.47-l q.30-1
1.44-l 1.3q-1
3.49ro 3.39+0
7.50-l 7.21-1
2.62-l 2.25-l
302 l8.00+21
3.53-l 3.76-l
8.59-2 6.18-Z
2.81-Z 2.56-Z
1.36+0 1.31+0
2.92-1 2.80-l
s.*a-2 a-75-2
2.63+0 2.74*0
6.04-l 5.81-l
1.95-1 1.61-l
*.73+0 4.SB~O
l.Ol+O 5.76-l
3.26-l 3.04-l
350 18.73*21
s.o5-1 4.66-l
1.09-1 1.04-I
3.53-2 3.27-2
1.75+0 1.69+0
3.75-l 3.60-l
1.21-l 1.12-l
3.64+0 3.53*0
7.76-l 7.47-l
2.50-l 2.33-l
6.11+0 5.92+0
1.3oa 1.25+0
4.19-1 3.92-1
400 i9.44+2l
6.26-l 6.03-l
1.35-1 1.29-1
4.42-2 *.04-2
2.1.9+0 2.11+0
4.65- 1 c).q6-1
1.50-l 1.39-l
4.53+0 9.39*0
3.63-1 3.27-1
3.10-l 2.85-1
7.60+D 7.37*0
1.61+0 1.56+0
5.20-l 4.87-l
450 11.01+3~
7.55-l 7.28-l
1.63-l 1.55-l
5.31-Z 4.67-2
2.64*0 2.55+0
5.61-1 5.33-1
1.81-l 1.68-l
5.49+0 5.3210
1.16*0 1.12+0
3.74-1 3.49-1
9.20+0 e-93+0
1.95+0 l.a6+0
6.26-l 5.89-1
500 11.07+31
8.93-1 8.61-1
1.32-1 1.63-1
6.25-2 5.74-Z
3.12+0 3.02+0
6.62-l 6.37-l
2.13-l 1.98-1
6.50+0 6.30*0
1.37*0 1.32+0
4.42-1 4.13-1
1.03*1 1.05+1
2.3lrO 2.23.0
7.43-l 6.97-1
550 11.14*31
1.03co 1.00+0
2.22-l 2.13-1
7.24-2 6.66-Z
J-63+0 3.52+0
7.70-l 7.@0-1
2.47-l 2.30-l
7.57ro 7.34+0
l-60*0 1.54+0
5.13-1 4.80-l
l-27+1 1.23+1
2.69*0 2.60+0
8.64-l 8.11-l
600 l1.20*3~
1.18+0 1.14+0
2.55-l 2.44-l
8.27-z 7.62-2
4.17+0 4.oq+o
8.82-l 8.98-l
2.83-l 2.64-l
6.70+0 a-44+0
1.83+0 1.77+0
5.08-S 5.51-l
1.45*1 1.41+1
3.09+0 2.9wo
9.90-1 9.31-l
650 #1.26+31
1.34+0 1.30+0
2.88-l 2.76-l
9.35-2 8.62-2
1.73*0 4.58+0
9.93-1 9.61-1
3.21-l 2.99-1
9. a7+0 9.58ro
2.owo 2.00*0
6.67-l 6.25-l
l.bS+l 1.60+1
3.50+0 3.3wo
1.12+0 1.05*0
700 11.32+31
1.51+0 1.*6+0
3.23-l 3.09-1
1.04-I 5.65-2
5.31+0 5.15+0
1.12*0 1.07*0
3.60-l 3.36-l
1.10+ 1 1.07+1
2.3340 2.25+0
7.48-l 7.01-l
1.66rl 1.no*1
3.93+0 3.60+0
1.26*0 l.lWO
750 11.38*31
1.66+0 1.6210
3.59-l 3.44-l
1.16-1 1.07-l
5.92+0 5.74+0
1.24+0 1.20+0
4.00-l 3.73-l
1.23+1 1.20+1
2.60*0 2.51+0
6.32-l 7.61-l
2.07+1 2.01+1
4.3640 4.24*0
1.40*0 1.32*0
800 11.44+31
1.1)5*0 1.79+0
3.36-1 3.79-1
1.29-l 1.18-l
6.55+0 6.35+0
1.37+0 1.32+0
9.42-l 4.13-I
l-36+1 l.32rl
2. a7*0 Z-77*0
9.28-1 6.63-l
2.29+1 2.22+1
4.05*0 4.66+0
1.55+0 1.46*0
850 ll.50+31
2.04*0 1.97+0
4.34-l 4.16-l
l.#o-1 1.29-1
7.19+0 6.97CD
1.51+0 1.45*0
q.os-1 4.53-l
1. so+1 I.45*1
3.15+0 3.04*0
1.01+0 9.46-l
2.52*1 2.45Cl
9.32+0 5.1510
1.70+0 1.60+0
__ - - - - - - __-----ANELE ENERGY IP c-n1
30.00 SD
FYWM
--------
40.00 FU .lR
SD
FUHII
-------_
.__L-----
60.00
SO.00 FU.ltl
SD
FUWn
.---------I--
FY.ll!
SD
FYWI
FM.111
200 l6.38+2J
4.07+0 4.72eD
l-06+0 1.02+0
3.45-l 3.22-l
7.93*0 7.69*0
1.7mo 1.72+0
5.76-l 5.42-l
1.13+1 1.10+1
2.65+0 2.56*0
9.65-l 0.13-1
1.49*1 1.45+1
3.6’3+0 3.53*0
l-20*0 1.13+0
250 ,7.22+2,
7.11+0 6.90+0
1.55+0 1.qs*o
5.01-l 4.63-l
1.15+1 1.12*1
2.60+0 2.51+0
8.42-l 7.91-1
1.66+1 1.61+1
3.a7+0 3.74*0
1.2510 1.18+0
2.13+1 2.13+1
5.33+0 5.16*0
1.75*0 l&5+0
300 18.no~21
S-65+0 s-37+0
2.10+0 2.02+0
6.77-l 6.35-l
1.57+1 1.52+1
3.52+0 3.4010
1.13+0 1.07*0
2.25+1 t.lS+l
5.2400 5.07+0
1.70*0 1.61+0
2.97+1 2.09*1
7.24*0 7.01+0
2.37*0 2.7.4+0
350 18.73+21
1.21)+1 1.2lCl
2.71*0 t-61+0
6.72-l 8.19-1
2.03+1 1.97*1
4.54*0 q.39*0
1.46+0 l-38+0
2.91+1 2.63*1
6.77+0 5.55*0
2.20*0 2.07*0
3.(13+1 3.73+1
9.35*0 9.05*0
3.06*0 2.69+0
400 19.44+21
1.55+1 1.50*1
J-36*0 3.25*0
l.OWO 1.01+0
2.52+1 2.@6*1
S-65+0 5.47+0
1.62+0 1.72*0
3.62+1 3.52+1
8.42*0 I).lb+O
2.73+0 2.50+0
4.77+1 4.65+1
1.1m1 t-12*1
.%.a4*0 3.c4+0
150 11.01r31
l.GWl 1.n2+1
Y.D7+D 3.94*0
1.31+0 1.23+0
3.06+1 2.9a+1
6.64*0 6.62*0
t-20*0 2. oa+o
4.36,). q-27*1
1.02+1 9.8Bw7
3.31*0 3.13+0
X.40*1 1.36*1
4.61*0 4.37*0
500 11.07*31
t-22+1 2.16+1
4.82+0 4.66+0
1.55*0 1.46CO
3.63+1 3.53+1
0.11+0 7. e-3+0
Z-61+0 z.q7+0
1.20*1 1.17+1
3.92+0 3.71*0
1.67+1 1.6211
5.46*0 5.1b*O
550 11.14+31
2.59*1 2.52+1
5.62+0 s.q3+0
1.8010 1.70+0
4.22+1 4.11*1
9.45+0 3.15*0
3.04+0 2.awo
1.+0*1 1.36+1
4.57+0 4.33+0
1.94+1 1.88+1
6.36*0 6.04*0
600 11.20.3,
2.98*1 2.89+1
6.45+0 6.24+0
2.07rO 1.95+0
c.a5+1 4.72+1
1.oar1 l-06+1
3.49*0 3.30+0
l-61*1 l-56+1
5.25+0 4.97+0
Z-23+1 2.16+1
7.31*0 6.94*0
650 11.26+31
3.36+1 3.29+1
7.32+0 7.06,0
2.34*0 2.21ro
1.23*1 1.19.1
3.96+0 3.75*0
1.03+1 1.71)*1
5.95+0 5.6WO
2.55*1 2.46+1
8.30*0 7.86*0
700 (l-32+31
3.80+1 3.69+1
e.22*0 7.56+0
2.63*0 2.49+0
1.36+1 1.3491
4.45+0 4.22+0
2.06+1 2.00*1
6.69+0 6.35+0
2.65*1 2.76+1
9.33*0 8.866,0
750 ‘X.38.3,
q-23+1 4.12+1
3.16+0 6.67+0
2.93+0 2.77*0
1.54+1 1.49*1
4.96*0 4.70+0
2.30*1 Z-23+1
7.46+0 7.09+0
3.17*1 3.01*1
1.04+1 9.8MO
800 Il.44131
4.68+1 4.55*1
1.01+1 9.01*0
3.24+0 3.07ro
1.7011 1.65+1
5.49+0 5.20+0
2.54*1 2.46*1
6.25+0 7.64+0
3.51+1 3.41*1
1.15*1 1.09*1
1.1141 1.07+1
3.56+0 3.37.0
1.97*1 l-81+1
6.03*0 5.72tO
2.79+1 2.71+1
5.07*0 9.62*0
3.96*1 3.75+1
I.2641 1.20*1
650 12.5013,
See page 480 for Explanation
Aton* Dab ad
SO
of Tables
Nuclear Dolo Tables, Vol. 15, No. 5, May 1975
494
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH HF lNGLE
5.00 FYHM
10.00 FY.lM
SO
FYHM
15.00 FY .lW
SO
FYWM
20.00
ENERGY IP c-n,
SO
FM.11
SO
FUH1w
200 1C.Co+21
1.70-l 1.62-I
3.81-2 3.61-2
1.27-i 1.13-z
5.81-l 5.53-l
1.27-1 1.21-L
4.16-2 3.79-2
1.19+0 1.15'0
2.59-l 2.46-1
a.45-2 7.77-2
1.99+0 1.93+0
4.32-l 4.14-l
l.?G-1 1.29-1
250 t7.23+2)
2.44-l 2.34-l
5.44-z 5.16-2
1.80-z 1.62-Z
a.41-1 8.10-i
1.82-i 1.74-t
5.96-2 5.*5-2
1.73+0 1.67+0
3.74-1 3.59-1
1.21-1 1.12-1
2.90*0 2.80+0
6.25-l 6.OC-1
2.02-1 1.87-i
300 I a.92+2>
3.26-l 3.15-1
7.26-2 6.90-2
2.35-2 2.16-2
1.13+0 1.09+0
2.45-l 2.34-l
7.98-2 7.32-2
2.34+0 2.27+0
5.09-l 4.83-l
1.63-l l-51-1
3.92*0 3.8010
8.43-i 8.10-l
2.72-l 2.53-l
350 18.75.2,
4.21-I Y.W-1
3.25-2 8.80-Z
3.04-i 2.75-2
1.*5+0 1.40+0
3.13-l 3.00-l
1.01-l 3.37-2
3.02+0 2.92+0
6.Q6-1 6.20-l
2.06-l 1.93-l
5.06+0 4.90+0
l.OB+C 1.04+0
3.99-l 3.25-l
YOU 5.21-l I s.b6*2 1 5.00-l
1.13-I l.oa-1
3.74-2 3.33-2
t.ao+o 1.7440
3.87-l 3.71-l
1.25-1 1.15-1
3.75+0 3.63+0
a.oo-1 7.69-l
2.58-l 2.39-l
6.2a+o 6.09+0
1.34.0 1.23+0
4.32-l 4.03-l
u5u 11.01+3)
6.27-l 6.03-l
1.36-1 1.30-l
4.48-z s.oa-2
2.ia+o 2.10+0
4.66-l 4.47-l
1.51-l 1.39-1
9.53+0 q.39+0
9.6@-1 9.27-t
3.11-1 2.89-i
7.60+0 7.37+0
1.61*0 1.56+0
5.21-1 4.96-l
500 11.38+31
7.40-l 7.12-l
1.60-I 1.53-1
5.26-Z 4.80-z
2.58+0 2.99*0
5.50-l 5.28-l
1.78-l 1.64-l
5.36+0 5.19+0
1.13+0 1.09+0
3.66-l 3.41-1
s.oo+o a-72+0
1.91~0 1.84+0
6.15-l 5.75-l
550 11.14+3!
8.59-l 8.27-l
1.86-1 1.77-1
6.08-Z 5.56-Z
3.0010 2.90*0
6.38-I 6.13-l
2.06-I 1.31-1
6.2410 6.04+0
1.32+0 1.27+0
4.25-l 3.96-l
1.04+1 1.01+1
2.22+0 2.14+0
7.14-1 6.68-l
600 11.20+3)
9.84-l 9.4.8-1
2.12-l 2.03-l
6.93-2 6.35-Z
3.43+0 3.32+0
7.30-l 7.01-l
2.35-l 2. la-l
7.16+0 6.94+0
1.51+0 1.45+0
4.87-l 4.54-l
1.20*1 1.16+1
2.54+0 z.q5+0
8.28-l 7.66-l
650 Il..z6+31
1.11*0 1.07+0
2.40-1 2.23-1
7.82-z 7.11-Z
3.89+0 3.77*0
8.27-l 7.34-l
2.66-l 2.47-l
a.lz+o 7.8?+0
1.71*0 1.65+0
5.51-l 5.15-1
1.36+1 1.32*1
2.amo z.?a+o
9.26-l 8.68-l
100 I l-32*3)
1.24*0 1.20+0
2.66-l 2.57-l
8.75-z 6.03-t
4.37*0 4.23*0
9.26-l
8.30-1
2.98-l 2.17-l
9.12*0 8.8WO
1.92+0 1.95+0
6.18-1 5.77-l
1.53+1 1.4aq
I.2410 3.12+0
1.03*0 9.74-l
750 1l.38+3t
i.3aro 1.33+0
2.98-1 2.85-l
9.70-2 8.91-2
4.66+0 . . 7140
1.03ro 9.30-1
3.31-l 3.08-i
1.01+1 9. a4+0
2*14+0 2.06+0
6.87-l 6.42-l
1.7011 1.65+1
3.60*0 3.4a+o
1*15*0 i.oa+o
800 11.44+31
1.53+0 1.47*0
3.28-l 3.14-1
I .06-l 9.82-2
5.3810 5.20+0
1.13+0 1.09+0
3.66-l 3.40-l
1.12*1 l.OWl
2.36~0 2.28+0
7.58-l 7.10-l
i.aarl l.a3+i
3.96+0 3.04+0
1.27+0 1.13+0
a50 11.50+31
i.68+0 1.az+o
3.60-l 3.45-1
1.16-l 1.07-l
5.90+0 5.72+0
1.24+0 1.20+0
4.01-l 3.73-1
1.23+1 l.lS+l
2.59+0 2.50*0
6.32-l 7.79-L
2.0?+1 2.01+1
4.37*0 4.2200
1.eo+o 1.31+0
._____^__ ,__-__----------- - --____-___---__.
---------------
30.00
hN6LC
.------
W0.M
50.00
ENEREY CP C-MI
SO
FYHII
200 l6.40+21
4.0?*0 3.94+0
8.91-l 8.57-1
2.88-l 2.68-l
6.67+0 6.46*0
1.4aeo 1.43*0
4.82-l 4.51-l
9.64+0 3.35+0
250 1?.23*2)
5.93+0 5.75rO
1.29*0 1.24ro
4.17-l 3.89-l
5.73*0 9.43*0
2.16+0 z.oa+o
7.00-l 6.55-l
300 la.o2*2t
a.o4*0 7.00+0
1.74*0 l.barO
5.63-l 5.26-l
1.31*1 1.28el
2.92*0 2.82+0
350 la.75+21
1.03+1 x.00+1
2.24*0 2.16-O
7.23-l 6.77-l
1.70+1 1.65+1
400 13.46*21
1.2811 1.25+1
2.78*0 2.66+0
8.96-1 8.40-1
450 dl*O1*3)
1.3&*1 1*51*1
3.36*0 3.24~0
500 tl.oa+3t
1.a4+1 1.7991
550 t1.14+31
FN.lM
SO
FYHW
FY. lI
FY.lM
SO
FYHH
60.00 FY.lll
so
FYIM
FLlW
2.21+0 2.13+0
7.20-l 6.75-l
l.2a+l 1.24+1
3.05+0 2.94+0
3.33-1 9.38-1
l.W*l
3.2lW
1.36*1
3.10+0
l.m*o 3.02-1
1.8?,1 1.52*1
4.44*0 4.29*0
1.45*0 1.36*0
s.a5-1 8.86-l
1.90*1
4.35*0
1.*1*0
1.95+1
4.20*0
1.32*0
2.54*1 2.47rl
6.01+0 5.82+0
l.SS+O 1.05*0
3.76*0 3.63+0
1.21+0 1.14*0
2.46*1 2.39+1
5.61+0 5.42*0
1.8lW 1.71+0
3.28+1 3.19+1
7.7s*o 1.5010
2.52*0 2.38*0
2.11*1 2.05+1
4.67*0 4.51+0
1.50*0
1.e1.0
3.06+1 2.91+1
6.97*0 6.7W0
2.25+0 2.13+0
4.06+1 3.96*1
3.64+0 9.33.0
3.1*+0 2.96*0
1.08+0 1.01*0
2.56+1 2.48+1
5.65+0 5.4600
3.70*1 3.60+X
0.43+0 8.16*0
2.73+0 2.5?+0
e.93+1 4.8011
l.lC*l
1.71+0
1.12*1
3.ao*o 3.59*0
3.96+0 3.84*0
1.27+0 1.20+0
3.03*1 2.34+1
6.69*0 6.47+0
2.03+0
4*39+1 4.26+1
9. sa+o 9.66+0
3.23*0 3.06*0
1.30*1 1.33*1
4.49*0 4.25*0
2.15+1 z.oa+l
4.63*0 4.e7+0
i.4a+o 1.33*0
3.53*1 3.43*1
?.78*0 7.53+0
2.50+0 2.36+0
1.16+1 1.12+1
3.76+0 3.55*0
1.60*1 1.55+1
5.23+0 4.95+0
600 (1.2013)
2.46+1 2.39+1
5.31+0 5.13+0
1.70*0 1.60*0
4.05+1 3.34+1
8.93rO 8.64*0
2.8?+0 2.71+0
1.33*1 1.29+1
4.31*0 4.08*0
1.84*1
l.?Wl
6.0040 5.69+0
650 l1.26rlJ
2.80+1 2.72*1
6.02+0 5.62+0
1.33*0 1.81*0
4.59+1 4.a7*1
1.01~1 9.8010
3.26*0 3.07+0
1.51+1 1.46+1
4.83+0 4.63+0
2.03+1 2.0341
6.8L+O 6.46*0
700 l1.32+3)
3.14+1 3.0511
6.76+0 6.53+0
2.16+0 2.04+0
1.13+1 1.10+1
3.66*0 3.45+0
1.69,1 1.64*1
5.*9*0 5.20+0
2.35*1 2.20*1
7.65+0 ?.26*0
750 ti.3a+3)
3.50*x 3.40+1
7.52+0 7.28+0
2.41+0 2.2?+0
1.26+1 1.22+1
4.07*0 3.86+0
1. as+1 1.83+1
6.12+0 6.79ro
2.61+1 2.5491
8.52*0 8.09+0
800 11.44131
3.87+1 3.76+1
8.32rO 8.05*0
2.66,0 2.51+0
1.40+1 1.35+1
4.50*0 4.26+0
2.09+1 2.02*1
6.?6*0 6.41+0
2.83*1 2.91*1
9.43+0 8.95*0
850 (1.50131
4.25+1 4.13+1
9.13*0 a.a4+0
2.92+0 2.76*0
1.53+1 1.49*1
4.92+0 q.61)+0
2.25*1 2.22*1
7.43+0 7.04+0
3.18*1 3.0811
1.03+1 9.83*0
See page 480 for Explanation
1.52*0 2.15*0
of Tables
495
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PROTONS THROUGH AU ANGLE ENERGY IP c-tll
5.00 SD
FYHH
X0.00 FY.lN
SD
FYNW
15.00 FY.lM
200 16.40+2)
1.60-l l.f5-1
3.61-Z 3.41-Z
1.20-Z 1.07-Z
5.45-l 5.24-l
1.19-l 1.14-I
3.93-2 3.57-2
250 17.24+2)
2.30-1 2.20-l
5.14-2 4.87-2
1.71-Z
7.89-l 1.59-l
1.71-I
1.53-Z
1.64-l
300 16.02*2~
3.08-l 2.96-l
6.85-2 6.50-Z
2.26-Z 2.04-Z
1.06+0 l.DZ*O
350 16.X+21
3.95-l 3.79-l
8.72-2 8.28-2
2.87-2 2.59-2
400 i9.47+21
9.88-l 4.69-l
1.07-1 1.02-l
3.53-2
450 il.O1+31
5.68-l 5.65-1
1.28-l 1.22-l
SOD ll.o9+3)
6.53-l 6.67-l
55D ll.l4+3J 600 l3.20+3)
9.20-l
SD
FYWW
20.00
FY.lR
SD
FYHH
FY.lH
l.lP+O
2.44-l
7.96-2
1.87.0
l.DB+O
2.33-l
7.30-2
1.90+0
5.62-2
1.62+0
5.13-2
1.57*0
3.51-l 3.36-l
1.14-l 1.05-l
2.30-l 2.20-l
1.51-Z 6.88-2
2.19+0 2.12*0
4.72-l 4.53-l
1.53-l 1.81-l
3.67+0 3.55+0
1.90-l
1.36+0 1.31.0
2.94-l 2.81-I
9.58-2 8.80-Z
2.82+0 2.73+0
5.05-l
1.96-l
5.81-l
1.81-l
4.73+0 4.58*0
9.1,-1
1.69+0 1.63+0
3.63-l 3.48-l
1.18-l
3.50+0 3.39*0
7.49-l
2.42-l
1.19-l
2.24-l
S.Gl+O 5.69+0
1.25+0 1.20+0
@.OI-1
1.08-l
4.22-2 3.83-2
2.04*0
4.37-l 4.19-1
1.41-1 1.30-l
4.23*0 4.10+0
9.03-l 8.67-l
2.91-1 2.70-l
l.lO+O 6.88’0
1.51+0 1.45*0
*.81-l 4.54-l
1.51-l 1.41-l
4.95-Z 4.51-2
2.4lrD 2.32+0
5.15-l
l.S?-1 1.59-l
5.01*0
1.05*0
9.85~0
1.02*0
3.43-l 3.19-X
a.*oa 8.14*0
L?s*o 1.72+0
5.754 5.37-1
8.01-l
l.l+1
Z.BO+D 2.7OW
5.82*0 5.6e+O
3.98-l
9.18+0
5.73-l
1.93-l 1.18-l
1.23+0
1.66-I
5.72-2 5.22-2
5.98-l
l.l@-1
1.19*0
3.11-l
9.4810
2.07+0 P.OO+D
6.68-l 6.24-l
1.99-1 1.90-l
6.52-2 5.96-Z
3.21.0 3.10+0
6.84-l 6.56-l
2.21-I 2.04-l
6.68+0 6.47+0
1.41+0
8.86-l
l-36+0
4.56-l 4.2S-1
1.12*1 X.08*1
2.38+0 2.29*0
7.65-l 7.16-1
650 (1.27+3I
1.04+0 1.0000
2.25-l 2.15-l
7.35-2 6.73-2
3.63+0 3.51*0
7.73-l 7.43-l
2.@9-1 2.31-l
7.57+0 l-34+0
1.60+0 1.54+0
5.15-l .&l-l
1.27+1 1.23+I
2.69*0 2.60+0
8.66-1 8.10-l
700 t1.33+31
1.16*0
2.52-1 2.40-i
I). 22-2 7.52-2
4.08*0 3.9e*o
8.66-l 8.32-l
2.59-l
8. SO+0 a.two
1.79+0 1.13+0
5.7a-t
1.12+0
5.93-l
1.42+1 1.38+1
3.02+0 2.91*0
1.19*0 1.25+0
2.79-l 2.67-l
9.11-2 8.35-2
b.Sk*O l .39+0
9.17+0 9.18+0
1.92+0
6.42-l 6.00-l
1.19+1
9.25-l
3.10-l 2.88-l
2.00*0
t1.39+3y
1.54*1
3.36+0 3.24+0
800 (1.4443I
l.C3+0 1.38*0
3.08-l
1.00-I 9.20-Z
5.01*0 4.85*0
1.0600 1.02ro
3.42-l
2.3*-1
3.28-1
l.OWl 1.01*1
2.20+0 2.12*0
1.09-l 6.62-l
1.75*1 1.10+1
3.71*0 S&W0
850 11.50+3)
1.09-l
1.51+0
1.00-l
3.51+0 5.33*0
1.16+0 1.1210
3.75-L 3.49-l
l.lWl x.11+1
2.62+0 2.33*0
7.77-l 7.27-1
x.93*1 1.87+1
hOI* 3.94*0
fY.lH
SO
fY.lU
so
750
1.57+0
3.37-l 3.23-l
3.19-2
1.97*0
4.95-l
9.63-l
2.19-1
1.06-l
1.32-l 1.21-f
2.72+0
5.86-l
.?.62+0
5.63-l
1.30-t 1.76-l
&NQLC
3.99-l
7.59-l l.Ol+O
2.55-l 2.37-l 3.27-l 3.04-l 3.71-1
60.00 FY.Ul
SO
CNUU
ENERQY IP C-HI
SD
200 lS.W0*21
3.82*0 3.69+0
8.36-l 8.03-l
2.71-l 2.51-l
6.26+0 5.07*0
4.53-l 4.22-l
9.07+0 a. 79+0
2.07*0
x.34*0
1.99+0
6.75-l 6.32-L
1.2x*1 1.17*1
2.86*0 Z.?WO
9.36-l a.774
250 (7.2*+21
5.56rO 5.38*0
1.21+0
3.91-l
1.16*0
3.64-I
9.12+0 8.8WO
2.02+0 1.95*0
6.55-1 6.13-I
1.32+1 1.28+1
3.01+0 2.90+0
9.79-l 9.xa-x
l.lS*l 1.71+1
4.16+0 Q.ol+o
1.35*0 1.27+0
300 7.53+0 1a.o2*2 b 7.29*0
1.63+0 1.57+0
5.27-l *.92-1
1.23+1 1.19+1
2.13*0 2.63+0
8.84-l a.29-i
1.79+1
4.07*0 3.93*0
1.32+0 1.2**0
2.39*1
l.lWl
2.32+1
5.63’0 s.w*o
1.83*0 1.72*0
350 18.16+21
9.10+0 9.+1+0
2.09+0 2.02*0
6.77-1 6.33-l
1.59*1 1..9*+1
3.51+0 3.39+0
1.13+0
1.os+o
2.31*1 2.2*+1
5.24*0 5.07+0
1.70+0 1.60*0
3.09+1 3.00+1
7.25*0 7.01+0
2.36+0 2.22*0
900 1.20*1 I9.@7*2 b 1.17*1
2.60+0 2.51+0
8.38-I. 7.85-l
i .9a+i 1.92*1
a.31*0 4.22*0
1.*1+0 1.32+0
2.a7+i 2.79+1
6.51*0 6.30*0
2.11*0 b9a*o
t&4*3 3.73+1
3.01*0 a.72+0
2.43+0 2.77+0
450 11.01+31
3.14+0 3.03+0
1.01+0 9.48-l
2.39+1 2.32+1
5.28+0
1.*1+1
5.10+0
1.70+0 1.60+0
3.47*1 3.30+ 1
7.01+0 l-62*0
2.65+0 t.w*o
@.6Wl l .51+1
t.o3*1 1.05*1
3.54*0 3.35*0
500 ll.O8+3)
1.07*1
3.71*0 3.59+0
1.19+0 1.12+0
2.83+1 2.15+1
6.2WO 6.03*0
2.01+0 1.89+0
4.x1+1 *.00+1
9.32+0 9.02*0
3.01+0 2.awO
1.29*1 l.ZI*l
4.19*0 3.96*0
550 f 1.14131
2.OlCl 1.95+1
4.32+0 4.17+0
1.38+0 1.3040
3.30*1 3.21+1
7.26+0 7.02*0
2.34+0 2.20+0
4.78.1 4.65+1
i.oari 1.05+1
3.50*0 3r31ro
1.50*1 1.Wl*1
a .a8+0 l .52*0
600 11.20+31
2.3011 2.24+1
9.95+0 4.7.8*0
1.59*0
3.79*1 3.98*1
B.33+0 8.06,0
2.68+0 2.53+0
1.24*1 1.20*1
4.02*0 3.80+0
1.7211 1.67+1
5.60*0 5.30+0
650 Il.27~31
2.61+1 2.54+1
5.61+0 5.43*0
..3O.L ..lB.l
9.15+0 9.14*0
3.04+0 2.1)6+0
1.11*1
1.69+0
1.36*1
4.56+0 4.31*0
1.9541 1.89*1
C-35+0 6.01+0
700 t1.33*31
2.93+1
6.30+0 6.03+0
2.02+0 x.90+0
4.82*1
2.85+1
Q.69+1
1.06+1 1.02*1
3.41+0 3.22+0
1.58+1 1.53+1
5.12*0 l . 84+0
2.1941 2.12*1
7.13*0 6.76+0
750 11.39+3)
3.21*1 3.18rl
7.02*0 6.78+0
2.25+0 2.12+0
1.1841 1.14*1
3.80+0 3.58’0
1.76*1 1.71+1
5.70*0 5.39+0
2.44*1 2.37+1
7.94*0 7.s3*0
S.&l+1
1.45+1 1.72+1
1.e9+0 1.80+0
1.39+0
fY.ln
ll.cI+sI
3.51+1
7.75+0 7.50*0
2.48+0 2.34rO
1.30+1 l.P6+1
4.20+0 3.96+0
1.95*1 1.89+1
6.30+0 5.97+0
2.7041 2.62*1
a.7a*o 8.33+0
850 11.50*3)
3.97rl 3.86+1
8.52*0 8.24+0
2.73+0 2.57+0
1.43*1 1.38.L
4.61+0 4.36+0
2.14+1 2.07+1
6.92+0 6.56+0
2.96+1 2.87*1
9.6510 9.16*0
800
See page 480 for Explanation
of Tables
Atomic Data and Nuclear Dab Tables, Vol. 15, No. 5, May 1975
496
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE I. Target Thickn ess (in g/cm2) vs. Angular Spread (in mrad) PROTONS ANGLE ENERGY IP
so
THROUBH
PB
10.00
5.00
FY.lM
FUHM
SC
15.00 50
FYHM
2o.oc FY.lM
SO
FYHM
cu.111
FUHH
FY.111
3.88-z 3.52-2
1.1010
2.90-l
“.OG-1
2.30-l
7.86-Z 7.20-Z
I.BI+C
1.06+0
1.7a+o
3.83-i
1.20-l
5.55-2 5.06-Z
1.60*0 1. s*+o
3.97-l 3.32-l
1.12-l 1.03-l
2.67W z.sa+o
5.70-1 5.55-l
i-87-i
7.41-Z 6.78-Z
2.16*0 2.05+0
,.66-l
1.51-1 1.39-1
3.621C 3.50*c
7.78-l 7.97-l
2.51-l
2.78*0 2.68*0
5.97-1
1.33-1 1.76-l
b-65+0 *.50+0
3.98-1
3.22-l
9.55-1
2.39-1
5.78TO 5.60*G
l.tS+D
i.la+o
3.98-i 3.71-l
c-n1 200
l6.Pu+21 250 17.21+21 300 l8.02+2l 350 18.76rZt
400 13.97+21
1.58-l 1.51-l
3.57-2 3.37-2
1.19-2
5.38-l
1.18-l
1.06-Z
5.17-1
1.12-l
2.27-l
1.63-2 1.51-2
7.77-l 7.118-l
1.69-1
2.17-1
5.08-Z 4.81-Z
1.61-1
3.0,-l 2.32-1
6.77-2 6.12-Z
Z.ZY-2
1.04+0
2.27-l
2.01-Z
1.00-o
2.17-1
3.83-1
8.61-Z
1.39+0
2.90-1
3.74-l
8.18-Z
z.a+2 2.56-2
l-23+0
2.77-l
9.95-2 8.67-2
4.81-l
1.05-l
1.00-l
1.66+0 1.60,0
3.58-l 3.*3-1
1.16-1 1.07-l
3.*5*0 3.33*0
7.38-l
4.62-1
3.48-Z 3.15-2
7.08-l
2.38-i 2.21-1
5.79-1
5.31-l 5.13-l
1.39-1 1.28-l
2.17*0 Y. 03+0
8.83-1 a.s*-1
2.87-l 2.66-l
6.33.C 6.77+0
1.43+0 1.*3+0
4.ao-1
5.08-i 1.87-l
1.64-l 1.52-l
1).93*0 ..77+0
l.OWO 1.00+0
3.38-l 3.1*-1
a-27+0 a.oi+o
l-76+0 1.69+0
5.66-l
5.89-1 5.61-l
1.90-1 1.76-1
5.73*0 5.55*0
1.21+0 1.17+u
3.92-1 3.65-l
S-62+0 3.32*0
2.0*+0 1.97+0
6.57-l 6.lc)-1
6.73-l 6.*6-l
2.17-l 2.01-l
6.57,0 6.36*0
1.39+0 1.3e+o
N-49-1 8-18-l
1.10+1
3.05*0
1.07*1
t-34*0 2.25+0
7.53-l 7.04-l
3.5a+o 3.46+0
7.62-l 7.31-1
2.*6-l 2.28-l
7.45+0 7.22*0
t-57+0 1.51+0
5.08-l e-73-1
1.25+X 1.21+1
Z-65+0 z.ss+o
8.52-l
2.75-l
1.77*0 1.70+0
5.69-1 5.31-l
1.40+1 l-36+1
2.97+0 z-87+0
9.55-1 8.9b-1
5.56-l
5.72-l
1.3c-1
1.73-1
2.33-l
5.56-1
1.26-l 1.20-l
9.17-Z 3.78-z
2.00*0
(1.01+31 500 ti.na+31
6.83-l 6.57-1
1.49-1 1.*2-1
4.85-2 @.45-2
2.37+0
550 l1.1*+3)
7.92-1 7.62-l
1.72-1 1.64-l
5.65-2 5.14-Z
2.75+0
600 11.20+31
3.06-l 0.72-i
1.96-l 1.87-l
6.45-Z 5.07-Z
3.16+ll
650 ll.27+31
1.02+0 9.87-1
2.22-l 2.12-1
7.26-2 6.65-Z
700 41.33+31
l.lWO 1.10+0
2.*a-1 2.37-l
a.il-2 I.-P-2
l .01*0
3.8810
8.53-l 0.13-l
2.55-l
a-36+0 0.10*0
750 11.39+31
1.27*0 1.23*0
2.75-l 2.63-l
8.38-2 8.23-Z
5.*6+0 6.32*0
s.ea-i 9.11-1
3.05-l 2.83-l
5.31+0 9.02~0
l-36+0 1.89*0
6.32-l 5.90-l
l&6+1 1.51*1
3.31+0 3.19+0
1.06+0 9.95-1
800 l1.%5+3)
1.ao*o 1.35ro
3.03-l 2.90-1
9.69-2 9.07-2
4.93+0 ..77*0
1.oe+o 1.00+0
3.37-l 3.13-l
1.02*1 9.97+0
2.17+0 Z.OS+O
6.97-1 6.52-l
1.72+1 1.6791
3.65+0 3.52+0
1.17*0 1.09*0
as0 11.50+31
1.54~0 1.19+0
3.32-l 3.18-l
1.08-l 3.93-2
5.*1+0 5.24+0
l.lWO 1.10+0
3.69-1 3.93-l
1.13*1 1.09*1
2.38+0 2.29+0
7.65-l 7.15-l
1.a9+1 l-8*+1
e.01+0 3.a7+0
1.2a*o 1.20*0
450
1.93+0 2.23*0
2.66*0
ENERQV IP c-lo
30.00 SO
90.00
FYWll
FY.lM
200 @6.40+21
3.?6*0 3J6@*0
8.2*-l 7.31-1
2.67-l
250 l7.24h21
5.47*0 5.30+0
1.19+0 1.14+0
3.86-I
300 l8.02*21
7.41+0 7.1wo
1.60+0 1.54+0
5.19-l
350 l8.76+21
9.5*0 9.26+0
400 l.ia+i
5.29-1
7.97-1
_-_______-----------------------------------------------------
,---_---_ ANQLE
4.47-l
so
FYHll
50.00 fY.lN
SO
FYHM
60.00 FY.lM
SO
fwan
FY.lM
6.17*0 5.98.0
1.37*0 1.32*0
@.16-l a.16-1
Jl.95+0 B-67*0
2.04+0 1.96*0
6.65-l 6.22-l
1.19+1 1.16,~
2.e.1*0 2.72+0
9.22-1 8.61-l
B.ss*o e.72*0
1.99*0 1.92*0
6.*6-l 6-O@-1
1.3!3+, 1.26+1
2.36+0 2.86+0
9.6*-l 9.01-1
1.7**1 l-69*1
r.os*o 3.35*0
1.33*0 1.25*0
l .ee-1
1.21*1 1.1a+1
2.69*0 2.59+0
a-71-1 8.16-l
l-76*1 1.71r1
q-01*0 3.87*0
t-30+0 1.22*0
Z-36+1 2.29*1
5.54+0 s-35+0
l-80+0 1.70+0
2.06*0 1.99+0
6.66-l 6.23-l
1.57Cl 1.52+1
3.')6*0 3.3@+0
1.11+0 1.04*0
P-27+1 2.21+1
*.sa+o
5.16+0
l-67*0 1.57+0
3.0**1 2.96+1
7.14+0 6.9OW
2.3210 2.19*0
l-38*0 1.30+0
2.03+1 2.75+1
s-111*0 6.20+0
2.07+0 1.96*0
3.73+1 3.66+1
a.87*0 e-58*0
2.8WO Z-72*0
z.ea-1 3.53-1
1.15*1
2.56+0 2.67+0
1).26-l 7.73-l
1.35+1 1.19*1
4.30+0
tS.+lrZl *so 11.01*3~
1.*3*1 1.33+1
3.09+0
z.sa+o
9.96-1 9.33-1
2.36*1 2.23+1
5.19+0
5.02+0
l-67*0 1.57+0
3.62*1 3.3311
7.75+0 7.rs*o
2.50*0 2.36+0
1.07*1 x.03*1
3.49*0 3.29*0
so0 11.0(1*31
X.6%1 1.fi**1
3.55+0 3.53*0
1.17*0 1.10*0
2.73+1 2.71-l
6.18,0 5.9wo
1.99*0 l-86*0
e.o5*1 3.9*+1
3.17*0 a-87+0
2.96*0 2.79*0
l-26*1 1.22*1
4.13-o 3.90*0
550 ll.lW31
1.97*1 1.92*1
*.25+0 ').10*0
1.36+0 1.2mo
3.25*1 3.16+1
7.1e+o 6.31+0
t-30*0 2.16+0
a.7111
l-06+1 1.03+1
3.15*0 3.25+0
1.*7*1 l-es*1
600 81.20+3)
2.26+1 2.20+1
e.97+0 @.71+0
1.66+0 1.47+0
3.73+1 3.62+1
a.zo+o 7.93+0
2.63*0 z.rB+O
1.22*1 l.lWl
3.95*0 3.73*0
1.69+1 l-66+1
t.!X*0 5.21ro
650 t1.27+3)
2.57+1
5.52+0 5.3wo
1.77+0 1.66+0
@.23+1 a.11*1
9.29*0 a.99+0
2.99*0 2.azro
l-36+1 1.3Wl
1.92~1 1.86+1
s-25*0 5.31*0
2.8011
6.20*0 5.99*0
1.99*0 1.a7+0
e.75*1 I.LZ+l
1.oa*1 1.01+1
3.35*0 3.16*0
1.55*1 1.51+1
5.03*0 1.76*0
2.1511 2.09+1
7.01*0 6.6WD
3.21+1 1.1211
6.30+0 6.67*0
2.21*0 2.08+0
l-16*1 1.12*1
s-73*0 3.52*0
x.73+1 1.68rl
5.60.0 5.30+0
2.10*1 2.33+1
7.a1*0 7.40*0
3.5511
7.62+0 7.37*0
z.w+o 2.30*0
1.2Wl 1.24*1
*.12*0 3.90+0
1.91~1 1.8%1
6.20+0 S&6+0
2.s5*1 2.57+X
8.6bO a-19*0
a.37+0 a.10+0
2.68+0 2.53+0
1.e1+1 l-36+1
t.ss+o h.za+o
2.1011 2.04*1
6. a1+0 6.@@+0
2.91+1 Z-13+1
9.*9*0 9.oo*o
700 t1.33+31 750
e1.39*31
a00 ll.e5+3l
2.50*1 2.83+1
3.a5+1
a50 3.50+1 l1.50+31
3.73*1
l .15+0
See page 480 for Explanation of Tables
497
l .59*1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS
5.00
ANGLE ENERBV ,F c-n1
SO
FYHH
TWROUQH HE
10.00
FY.lW
SO
FYHH
15.00 FY.lW
50
FYHW
20.00 tn.111
SO
FUN!,
FY.lN
2.29-1
5.31-Z 5.05-Z
1.79-2
ilrZP*2~
x.58-2
7.99-l 7.70-l
1.78-l 1.70-l
5.0*-2 5.37-2
1.57+0 1.52*0
3.63-l 3.*9-l
1.19-l 1.10-l
z.a7+0 2.39*0
6.00-l 5.77-l
1.98-l 1.a+1
100 l1.83*21
7.37-l 7.10-l
1.61-l 1.54-l
5.28-2 4.83-Z
t.ee+o 2.39+0
5.*9-1 5.27-l
1.78-1 1.65-1
baa+0 e.73+0
1.12+0 t.oa+o
3.67-l 3.@3-1
7.5*+0 7.eo*o
1.56,0 1.79*0
6.1@-1 5.75-l
150 l2.35rZI
1.394 1.3WO
3.02-l 2.89-1
9.86-2 9.07-2
1.68+0 4.53+0
1.03+0 9.97-l
3.36-l 3.13-l
9.19*0 A-92+0
2.12+0 2.05+0
6.91-l 6.50-l
1.~2*1 1.38*x
3.52+0 s.eo*o
1.15*0 1.09*0
200 IZ.Bl~Zl
2.17*0 2.09*0
e-70-1 9.51-l
1.52-l l.Ql-1
1.30+0 7.0810
X.61*0 1.5500
5.21-l
1.*2+1 1.38+1
3.32*0
1.oa*o 1.01*0
2.20*1 2.1341
5.50*0 5.31+0
l-81*0 1.70*0
250 43.30121
3.06,0 2.96*0
6.62-l 6.35-l
2.11-l 1.98-l
1.02+1 9.97+lJ
2.2a+o 2.20+0
7.39-l 6.91-l
1.99+1
@.68W
1.93+1
e.52+0
1.53+0 1.43+0
3.05*1 2.9661
7.75+0 7.e9ro
2.56*0 2.e1+0
300 l3.71+2)
4.06ro 3.9210
B.76-1 8.@1-1
2.83-l 2.63-l
1.35+1 1.3x+1
3.0210 2.91+0
9. ao-1 9.18-i
2.61,1 2.5*+1
6.21+0 6.0010
2.03+0 1.91+0
3.97*1 3.56+1
1.02*1 9.92co
3.40*0 3.21*0
350 16.17*2)
5.1fi+o r.99+0
1.11*0
3.59-l 3.3+1
1.71+1 1.6E+l
3.m*o 3.71*0
1.2q+o
1.06*0
3.28+1 3.19+1
7.89*0 7.62+0
2.5a+o 2.e3+0
*.95+1 11.51+1
1.30*1 1.25*1
1.33*0 b.os*o
400 lS.58+21
6.36+0 6.15+0
1.37.0 1.31*0
1.12-l 9.11-I
2.10'1 2.0*+1
*.00+1
9.71*0
3.88+1
9.39+0
3.18+0 3.00+0
1.59r1 1.5ee1
5.3e+o 5.05+0
150 lY.9W21
7.65+0 7.91+0
1.6*+0 l-58+0
5.32-l 4.95-l
2.52+1 Z.qB+l
5.70+0 5.5010
l.a5+0
1).75+1
1.73*0
q&2+1
1.16*1 1.12+1
3.wro 3.62+0
1.91+1 1.8511
6.13+0 6.0840
500 15.38121
9.OIIO a.75+0
1.91+0
6.28-l 5.85-i
2.96+1 2.aa+1
6.79+0 6.51,0
2.18*0 z.oc+o
1.37*1 1.33*1
@. 54*0 5.2a*o
2.25+1
2.la+l
7.60+0 7.20+0
550 15.76+2)
1.06*1 l.Ol+l
2.26*0
7.31-l
2.ia+o
6.82-l
3.u3*1 3.33*1
7.a*+o 7.5a*o
2.54+0 2.39+0
l.60+1 1.55+1
5.29+0 4.99+0
2.61+1 2.53rl
8.85+0 8.3WO
600 1E..19+21
1.20+1 1.17+1
2.60*0 2.Ll,O
8.10-l 7.a5-1
3.92+1 3.aor1
9.02+0 8.72*0
2.93+0 2.76.+0
i.a3*i x.78+1
6.08+0 5.7SIO
2.99+1 2.90*1
1.0141 9s5+0
650 l6.50+2)
1.37*1 1.33+1
2.96+0 2.85*0
9.56-l
Y.Q3+1 1.30+1
1.02+1 9.92+0
3.33+0 3.14+0
z.oa*i
a.9+i
2.02*1
6.93+0 6.55+0
5.39+1 5.29+1
1.15*1 1.09+1
700 16.87+2)
1.5411 1.50*1
3.3*+0 3.22+0
1.07*0 1.00+0
1(.96*1 Y.az+l
1.15+1 1.11*1
3.76+0 3.55*0
z-3*+1 2.27+1
7.a2+0 7.ao+o
3.80,1 3.69*1
1.30*1 1.23+1
50
2.38-l
l.a7+0
b.a9-1
1.16+0 x.53+0 l.baro
___--__-.___---__ lNGLE ENERGY ‘P c-n1
~O.OU
30.00 SO
FYHH
,_--__-
FY.lM
FYHW
3.20+0
-- --------
--------
60.00
50.00 FY .lU
SD
FYHM
SD
FYRR
FY.ll4
e.za+o
1.19*0
e.i5+0
1.15+0
11.06-l 3.80-x
1.9140 l.a**o
6.71-l 6.30-L
2.59+0
9.55-l 9.27-l
3.@7,0
~l.zzrz*
3.36+0
1.33*0 1*2c*D
100 ,l.83+2,
1.31+1 1.27+1
3.72+0 3.59*0
1.26*0 l.lB*o
5.93+0 5.79+0
2.09+0 1.97+0
8.31*0 8.05+0
3.06+0 2.9010
l.OWl 1.03+1
@.16*0 3.94*0
150 12.35+2!
2.*2+1 Z-35*1
7.02+0 6.79+0
2.39+U 2.25+0
1.11*1
3.96+0 3.79*0
1.55+1
l.oa+i
1.50+1
5.00+0 5.50+0
1.9tl+1 1.92*1
7.17+0 7.4c*o
tz.ac+zn
1.09+1 1.05+1
3.7340 3.53*0
1.7211 1.67+1
6.la*o 5.85+0
2.38+1 2.31+1
9.05*0 5.55+0
3.03+1 2.94*1
1.2241 l.lC*l
25U 13.30121
1.53+1 1.*8+1
5.2a+o q-99*0
2.40+1
8.72+0 a.27+0
3.30*1 3.20*1
1.27+1 1.20+1
*.17*1 4.05*1
1.71+1 l&3*1
300 l3.7*+21
2.01+1
7.0010
3.111+1
1.95rl
6.63+0
3.0511
1.15+1 1.09+1
*.29*1 i).17+1
1.6511 1.59*1
2.25*1 2.14*1
2.EWl
8.a9+0 a.w*o
3.911*1 3.82+1
1.96+1 1.38+1
2.12*1 2.02*1
2.8Wl 2.70*1
1.79+1 1.70+1
2.60+1 z.q7+1
3.47*1 3.30*1
50
200
350
2.33+1
2.68+0
Fll.lIl
Ib.l7+2)
2.16+1
400 qe.sa+zl
3.1011
1.09+1
h.7a+l
3.01+1
1.03*1
Y.68+1
l1.18*2)
3.7011 3.59+1
1.31+1 1.2541
2.15*1 2.05+1
3.11+1 2.96*1
*.13*1 3.9a*1
500 15.38+21
u.53+1 4.21+1
1.55*1 1.47*1
2.53+1 2.1)1+1
3.6Wl 3.*7+x
q.s3*1 4.51*1
550 l5.76+21
I.8011 1.71+1
2.99+1 2.79*1
e.21*1 *.a*1
600 16.1Y121
2.07*1 1.97+1
3.36+1 3.20+1
e.5011 *.5a*1
650 16.5O+Zl
2.35*1 2.23'1
3.81*1 3.63*1
700 l6.a7*21
2.64+1 2.51+1
11.27+1 *.07+1
b50
See page 480 for Explanation
of Tables
Atomic Data and Nuclsor Data Tables, Vol. 15, No. 5, May 1975
498
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS 5.00
ANGLE
fhwl
THROUGH C
10.00 SC
FY .lH
FYHII
15.00
ENERGY IP c-n,
SO
50 t1.25*21
9.02-2 8.69-Z
2.0X-2 x.91-2
6.71-3 6.00-3
3.06-I 2.95-1
6.73-2 6.*3-2
2.20-Z 2.01-2
6.27-l 6.05-l
100 11.9U.Z~
2.7@-1 2.63-I
6.03-Z S.?(-2
1.98-2 1.79-2
3.43-1 9.10-1
2.04-l 1.95-1
6.61-Z 6.12-2
15b 12.9?+2#
5.13-1 Y.SP-1
1.11-l 1.06-l
3.65-2 3.33-Z
1.77+0 1.71.0
3.82-l 3.66-l
200 13.OU*Zl
7.37-1 7.68-l
1.72-t 1.64-l
5.62-Z 5.15-Z
2.76.0 2.67+0
250 13.51+2)
1.11+0 l.OG.0
2.41-l 2.30-l
7.8*-2 7.21-Z
300 lY.ol+zJ
1.18.0 1.42+0
3.17-1 J.OC-1
350 fY.19.2)
1.a7*0 l.%liD
900 1*.97.2~
2o.co SO
1.37-l 1.31-l
q-18-2 @.13-2
1.03+c 9.98-i
2.28-I 2.19-l
7.*5-z 6.90-Z
1.93*0 l.a6+0
4.20-l 4.03-l
1.36-1 1.26-I
3.19.0 3.08*0
7.02-I 6.75-l
2.27-l 2.12-1
1.23-l 1.14-l
3.69.0 3.52.0
7.80-l 7.58-I
2.5*-1 2.37-l
6.00*C s.ar+o
1.32.0 1.27+0
9.26-l 3.33-1
5.32-l 5.69-1
1.91-1 1.77-l
5.66.0 5.*a+o
1.22+0 l.la.0
3.95-l 3.69-1
9.32.0 S.CY.0
2.05.0 1.9a.o
6.63-l 6.21-1
3.8810 3.76+0
a.3i-1 a.OO-1
2.68-l 2.13-1
7.96.0 7.72.0
1.72+0 1.66,0
5.55-1 5.20-I
1.30.1 1.27+1
2.as.o 2.73.0
9.33-l 8.76-l
1.03-l 3.50-2
5.x4.0 q.sa+o
1.09+0 1.05*0
3.54-l 3.30-l
1.05.1 1.02*1
t.za*o 2.20.0
?.3C-1 6.88-i
1.72.1 1.67.1
3 .at+o 3.69*0
1.23.t 1.16.0
4.01-l 3.85-l
1.30-t 1.20-l
6.52.0 6.32*0
1.39*0 1.3e.O
@.*a-1 hia-1
1.33.1 1.29.1
2.89.0 2.79*0
9.31-1 8.74-i
2.17+1 2.11+1
6.85.0 4.69.0
1.56.0 1.e7+0
2.3010 2.23*0
4.33-1 11.73-l
1.59-1 1.17-l
8.02.0 7.78.0
1.71*0 1.6510
5.51-1 5.15-l
1.63.1 1.51*1
3.56.0 3.Q3.0
1.1e.o 1.07.0
2.66.1 2.59.1
5.97.0 5.77*0
1.52*0 1.01*0
950 15.44+21
2.77*0 2.68+0
5.91-1 5.67-l
1.51-1 1.77-l
3.66.0 9.35.0
2.0510 i.sa*o
6.61-l 6.19-1
1.96+1 1.90.1
4.2a.o 4.13.0
1.37.0 X.29*0
3.ia+l 3.10.1
7.ia.o 6.9Q.0
2.32+0 2.19+0
500 l5.91+21
3.27*0 3.17+0
6.37-1 6.65-1
2.24-l 2.08-1
1.13*1 1.10.1
2.e3.0 2.3..0
7.80-x 7.31-l
2.31*1 2.2y*1
5.05.0 e.aa.0
1.62~0 1.53*0
3.76.1 3.6@+1
a.c7+0 a.2010
2.7WO z.sa+o
550 16.37+21
3.a1+0 3.6810
8.09-1 7.76-l
2.61-l z.ez-1
1.32.1 1.28.1
2.82+0 2.72*0
5.07-1 8.51-l
2.67.1 2.60.1
5.87.0 5.68,0
l.as*o 1.7a.o
@.32+l 4.20.1
s.as+o s.s*.o
3.19.0 3.01*0
600 16.82*21
@.37+0 Y.23+0
3.29-1 8.93-l
2.99-1 2.78-1
1.51*1 1.47.1
3.21.0 3.13+0
l.O~.O 9.79-1
3.06.1 2.95*1
6.75.0 6.53*0
2.17*0 2.05*0
6.93.1 l .ao+l
1.13.1 1.03+1
3.66+0 3.46+0
650 17.27+21
e.97+0 @.aZ+O
1.05*0 1.01.0
3.39-1 3.16-l
1.72.1 1.67+1
3.63.0 3.56+0
1.x8.0 1.11.0
3.47*1 3.3a*l
7.68.0 7.*3+0
Z&7*0 2.33.0
1.2G.l 1.2**1
*.17*0 3.9’).0
700 17.71+2)
5.61+0 5.*3+0
1.18.0 l.l*+O
3.82-I 3.56-l
l.SQ*l x.aa+i
e.16.0 4.02.0
1.33+0 1.25.0
?.so*l 3.ao.i
a.65+0 a.37+0
2.7%*0 2.63*0
1.92*1 1.10.1
4.70+0 e.45.0
--^-----
-_-----
ANGLE
I-----30.00 FYHN
-----
--___ ,--------
SO
FUHII
FY.lM
-------------------_----------.
FY.lM
eo.00
ENERGY IP c-H1
SO
50 ll.26+21
2.03+0 1.97*0
4.68-l 4.51-l
1.53-l 1.*2-l
3.ia*o 3.00*0
7.75-l 7.#7-1
100 ll.SO+Z)
6.28+0 6.09+0
l.li)*O 1.33+0
,.70-l @.NO-1
3.78*0 3.50+0
150 I2.47+2)
1.17.1 1.14.1
2.71.0 2.62*0
a. 85-l 8.31-l
200 13.00.21
1.8X.1 1.76.1
a-23+0
4.09.0
250 t3.51+2,
2.50+1 2.&6+1
300 14.01+21 350 14.e9.21
so
FYHM
FY. 1H
FY .ln
60.00
SD
FYH”
FY.lll
SO
2.55-l 2.33-l
4.36.0 4.23.0
1.1a.o 1.10+0
3.80-1 3.56-l
5.ea.o 5.32.0
1.55*0 1.e9.0
5.25-l e.93-1
2.39.0 2.31*0
7.87-l 7&O-1
1.33.1 1.29*1
3.52.0 3.eo*o
1.17.0 1.10.0
1.67*1 1.62*1
@.7%*0 Q.63+0
1.62+0 1.53*0
1.02.1 1.77+1
4.51.0 l .36*0
l.aa+o 1.39.0
Z.k7*1 2.40*1
6.62*0 6Al*O
2.21*0 2.09.0
a.ss+o a.71*0
3.06+0 2.90*0
1.37.0 1.29+0
2.79.1 2.71.1
7.01.0 6.7B.O
2.31*0 2.la.o
3.76*1 3.65.1
1.02.1 3.96*0
3.es*o 3.26*0
1.39*1 1.35*1
k.77+0 @.52*0
5.35.0 5.76+0
1.911.0 1.83.0
3.86.1 3.76+1
s.a5*0 3.5e.o
3.26*0 3.oa*o
1.4*+1 1.39+1
e.86.0 e.Sl*O
1.91.1 1.89.1
6.72+0 6.38*0
3.31.1 3.22.1
7.87.0 7.62.0
2.57.0 2.~2.0
1.30.1 1.26.1
Q-32.0 l .09.0
1.90.1 i.aq+l
6.S4*0 6.11*0
2.56*1 2.Q5.1
a.so+o a.45+0
4.15.1 @.01.1
S.SG+O 9.67.0
3.26.0 3.08.0
l-6*+1 1.59.1
s.ea*o 5.20*0
2.39.1 2.32.1
a.17+0 7.76*0
3.22.1 3.12.1
1.12*1 1.07*1
900 14.97+21
1.22.1 x.18.1
I.oz*o 3.80.0
2.02+1 1.95.1
6.75*0 [email protected]
2.33*1 z.ae.1
1.00.1 3.56.0
3.93*1 3.81.x
x.38+1 1.32*1
450 l5.44.2l
1.47+1 1.42.1
4.83+0 4.58.0
2.42*1 2.34*1
5.12+0 7.71.0
3.50*1 3.QO.l
1.20.1 1.15.1
4.68+1 e.5*+1
1.66.1 1.50*1
500 l5.91+21
1.73.1 1.68.1
5.71.0 5.t1.0
2.81.1 2.76*1
3.59.0 3.11+0
*.11*1 3.99.1
1.*2*1 1.35*1
l-96*1 1.07*1
550 16.37.21
2.01.1 1.95+1
6.65+0 6.30.0
3.23.1 3.20*1
1.11*1 1.06.1
4.7a.1 1.61*1
1.65.1 1.57*1
2.2G.l 2.17.1
600 lc.G2+2,
Z-31+1 2.24+1
7.F,*+o 7.25rO
3.77.1 3.66.1
l.za+i 1.21.1
1.90*1 i.al*l
2.61+1 2.QWl
650 l7.27+21
2.62.1 2.59+1
8.69.0 a.25*0
*.27*1 4.12*1
l..S.l x.38.1
2.16.1 2.06+X
2.96+1 z.a3*i
700 17.71+21
2.35+1 2.86.1
3.80.0 9.31.0
4.79*1 Y.65+1
1.64.1 1.56.1
2.43+1 2.32.1
3.33+1 3.18.1
See page 480 for Explanation
FY.ltI
50.00
FYHM
FUHM
FY.lIl
of Tables
499
Atomic Dota and Nuclear Dota Tables, Vol. 15, No. 5, Mcq 1975
HUNGERFORD
and MAYES
Proton, F’ion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIDNS ANGLC
THROUGH AL
10.00
5.00
15.00
FY.lH
SD
1.06-Z 1.00-2
J.S6-3 3.15-3
1.59-l 1.52-1
3.50-2 3.33-2
1.90-l 1.35-l
3.12-2 2.96-Z
1.03-2
*.*9-1 l&.66-1
1.05-l 1.00-l
3.112-2
1. on+0
9.31-3
3.1@-2
9.66-l
2.62-1
ENERGV IP C-HI
SD
50 11.27*21
1.68-Z s.*a-2
100 l1.92rzl 150
FUHM
FYHU
FU.lM
SD
I. 15-2
3.26-l
l.OI-2
3.14-l
FUHU
2a.oc
FY.lM
SO
FUWI
FY.lR
7.13-2 6.81-Z
2.33-2 2.13-2
5.43-l 5.211-l
1.1a-1 1.13-l
3.95-2 3.55-2
2.15-l 2.06-l
6.99-2
1.65*0
6.q6-2
1.61+0
3.60-l 3.*6-1
1.08-i
4.02-1 3.86-l
1.30-1 1.20-l
3.11+0 Lc**D
6.7@-1 649-l
2.17-I 2.02-l
3.19-l
1.16-l
2.52-l
5.76-Z 5.98-2
X.89-2 1.71-2
9.08-l 9.76-l
1.95-l 1.87-l
6.3q-2 s*aq-2
1.97*0
t2.50*21 200 l3.05*2)
9.05-I 3.90-l
a.aq-2 8.93-2
2. BY-2 2.63-2
1.q1+0
3.01-l
2.92*0 2.92*0
2.01-1
2.69-l
9.77-2 9.03-2
6.21-1
1.36+0
6.00-l
1.87-l
l .Ga+o 4.73ei
1.0**0 1.00*0
250 13.58+21
5.69-l
1.23-l 1.17-l
q.oz-2 3.68-t
1.9a+Ll 1.91*0
*.22-1 4.05-l
1.36-l 1.26-l
9.11+0
a. 75-1
9.*3-1
2.82-l 2.63-l
6.85*0 6.66+0
1.47*0
3.99*0
300 14.09421
7.50-l 7.23-l
1.61-l
5.27-2 9.83-2
2.62*0 2.53*0
5.57-1 5.35-l
1.79-l 1.67-l
5.*3+0
1.15*0
1.54-l
5.27+0
1.11+0
350 19.60421
9.50-I 9.17-1
2.01-l 1.95-1
6.63-2 6.10-2
3.32*0
7.05- 1 6.78-l
2.27-l 2.11-l
5.69*0 6.69,0
,.rc+o
2.15+0
1.4140
4.70-1 q.ao-1
1.15*1
3.21*0
1.11+1
2.3610
7.91-l 7.43-l
NO0 15.10+21
1.16+0
2.50-l 2.39-l
8.11-2 7.48-2
q.oa*o 3.96+0
8.66-l 8.33-l
2.78-l
a.qG+o
1.*1+1
2.59-l
9.23+0
l.Go*o 1.73*0
5.78-1
1.12+0
5.42-l
1.37*1
3.03*0 2.9210
9.73-l 9.154
q50 ~5.59*2l
2.99-l 2.87-I
9.71-2 8.96-2
q.91+0
3.34-1 3.12-l
1.0141 9.89+0
6.94-l
1.69*1
3.6WO
4.76*0
1.oe+o 1.0040
2.16+0
1.xi+o
2.08+0
5.51-l
1.5441
3.52*0
1.15+0 l.lWO
500 tC.O8*21
1.6510 1.59*0
3.52-l 3.38-l
1.11-l
5.80+0
1.22*0
1.05-L
5.52+0
l.lG+O
3.93-1 3.68-l
1.16*1
2.55*0 t.lC+O
6.19-1 7.59-l
x.9941 1.9441
4.3mo 4.1540
1.30*0
55D 16.57*21
1.92+0 1.85+0
4.09-l 3.92-l
1.32-l
6.7440 5.54*0
1.42*0
*.57-1 4.27-l
1.39*1 1.35*1
2.9740
9.52-l 8.94-l
2.32’1 2.25*1
5.00*0 4.93*0
1.50*0
2.96+0
600 17.05121
2.20*0 2.13*0
4.68-l 4.50-1
1.5x-1
7.75*0 7.51+0
l-63*0 1.57*0
5.21-l
1.50*1 1.55*1
3.e1*0 3.29+0
1.09*0 1.02*0
2.55*1 2.50*X
5.71+0 5.55*0
1.oqro 1.7440
650 l7.53+2I
2.5040 2.@2+0
5.32-l 5.11-l
1.71-l
G.Gl+O 9.5**0
1.95*0 1.79*0
5.95-l 5.58-l
l.a2+1
3.87+0 3.7Q*o
1.2wo
3.01*1 2.93*l
5.53*0 6.32*0
2.09*0
1.59-l
700 18.01*21
2.82+0
5.98-1
1.93-l
9.93*0
5.71-l
2.05*1
5.75-l
1.79-l
9.6340
6.29-l
1.9941
q.3740 *.22*0
1.*0*0
2.73*0
2.09*0 2.02+0
3.39*1 3.30*1
7.36,0 7.13*0
2.300 2.23*0
SD
FYHR
5.48-l
1.40+0
lNGLE
1.22-l
l.@O-1
30.00
ENERBY IP C-M>
SD
50 11.27*21
1.10*0
2.43-l
1.0640
2.33-l
100
3.40*0 3.29*0
7.44-l
11.92*2)
150 #2.50*21
zoo lS.OS*Zl 260 13.59*21 300
lq.o9*2l 350
14.60+21 400
1.37*0
*.91-1
f.Gl*n
1.20+1
1.77*1
40.00 FM .lN
FUHR
SO
1.91-2 7.33-2
l.Go*o 1.7wo
7.16-l
2.40-l 2.24-l
FYHM
4.05-l
3.71-l 3.e7-1
1.15*0 1.31*0
50.00 FY .lM
3.37-l
1.q1*0
9.73-l 4.43-l
1.9440 1.07+0
5.05-1
5.24-l
i-38+0
1.51*0
1.91*0
50.00 FM.11
SD
FYWR
FY.lH
5.01-l 5.90-l
1.96-l 1.93-l
3.*5*0 3.35*0
8.29-l 7.99-l
2.72-l 2.55-l
7.911+0
1.1)4*0
7.75*0
1.70+0
5.02-l 5.55-1
1.05*1 1.02*1
2.55*0 2.45+0
8.36-l 1.87-l
4.7940 4.54*0
1.57*0
745*0 7.22*0
2.45*0
l.OWl
3.45*0 3.27*0
3.90-l
1.32-l 1.22-l
2.50*0 2.52*0
5.55*0
1.24*0
4.03-l
5.3840
1.20*0
3.77-l
5.39*0 6.20*0
1.39*0
4.50-l
2.33*0 2.25*0
7.57-l 7.11-l
3.49*0
1.13*0
1.97*1
4.22-l
1.01*1 1.01+1
1.49*1
1.3440
1.e5+1
3.36*0
1.05*0
1.91*1
9.9210 9.54+0
2.17*0 2.09*0
7.00-l 5.57-l
l.Cl+l l.S6*1
3.53*0 3.51*0
1.17*0
2.29*x
1.76*0
I.U2*1
1.10*0
2.23*1
5.41*0 5.23+0
1.55*0
2.94*1
1.39*x
9.84-L
q.9540
1.55*0 1.55*0
3.1941
9.26-l
2.25*1 t.lC*l
5.11+0
1.35*1
3.0510 2.95*0
3.11*1
7.51*0 7.37+0
2..1*0 2.36*0
4.lWl q.o7*1
1.1)3*1 1.70*1
q.OI*O 3.90*0
1.30*0 1.22*0
2.95+1 2.07*1
5.77*0 5.95*0
2.19*0 2.07*0
S.ll*l
1.0041 9.7**0
3.26*0 3.11*0
l-36*1 1.3Wl
4.57*0
4.05*1
2.31*1 2.25+1
5.12*0 4.9540
1.65+0 1.55*0
3.71*1 3.51*1
G.sG*o 0.31*0
2.76*0 2.53*0
1.27*1 1.23*1
4.17*0
1.75*1 t.s9*1
5.10*0
z.m*1
2.03*0
1.05*1 1.02*1
3.4240
5.lNO
3*2e*o
x.55*1 1.51*1
4. I?*0
2.lWl 2.om1
7.lWO 5.18+0
3.91*0
1.0141
l&MO 2.31*0
4.33*0
5.SO*0
15110+2I
Z-75*1
6.30*0 5.10*0
4so
3.3941 1 3.30*1
7.5a*o 7.3q+o
1.25*1 1.22*1
4.1240 3.90*0
1.97*1 1.02*1
5.18*0 5.96*0
2.57*1 2.4Nl
a.59*0
2.31*0
500 l6.09*21
3.90*1 3.m•l
9.94*0 G.C6*0
2.66*0 2.72*0
1.4941 1.44*1
4.97*0 4.51*0
2.21*1 2.1441
7.30*0 5.93*0
3.02*1 2.93+1
1.01*1
550 l6.57*21
4.5141 4.49rl
1.04*1 1.00+1
3.35*0 3.17*0
1.73*x l.CG*l
5.cs*o 5.37*0
2.56*1
2.49%
0.49*0 6.07*0
J.lO*l 3aoa
1.x7*1 1.1211
600 lI.D5*2)
1*19*1 1.15*1
3.96CO 3.55*0
1.99*1 1.93*1
c.s1*0 6.1940
2.9Wl 2. as*1
9*75*0 9.26*0
4.os*1 3.99*1
1.3s*1
650 17.53*21
1.35*1 1.31*1
q.3940 q-16*0
2.25*1 2.19*1
7.41+0 7.03*0
3.33*1 3.21*1
1.11*1 1.05*1
4.54*1 bll*l
l.SWl 1.45+1
700 l6.01+21
l.Ct*l
4.95+0 4.6940
2.51*1
o.s5*0
2.47*1
7.93*0
I5.59*2
See page 480 for Explanation
Atomic Oatmand Nwl+ar DotaTd.,,Vd.
1*91*0 2.6440
l.qG*l
of Tables
15,No. 5,May
,975
500
1.25’1 1.19*1
I).15*0 9.CWO
1.29*1
1.73*3
1.55*1
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS
5.00
ANGLE
FY .lM
SO
FU.lH
SO
50 l1.27+21
3.77-2 3.60-2
8.61-3 8.12-3
2.90-3 2.55-3
1.27-l 1.22-l
2.82-2 2.68-Z
9.32-3 0.41-3
2.61-l z.s2-1
5.73-2 5.aS-2
1.87-2 1.71-2
9.36-l *.21-1
9.51-2 9.09-Z
3.10-2 2.m-2
100 11.93*21
1.12-l 1.07-l
2.51-2 2.38-2
8.35-3 7.98-3
3.86-l 3.71-1
8.40-2 8.02-Z
2.74-2 2.51-2
7.98-l 7.70-1
1.72-1 1.6(1-l
5.59-2 5.15-2
1.33*0 1.29*0
2.87-i 2.75-l
9.30-2 8.61-Z
15u 12.51+2)
2.09-l 2.00-l
9.61-2 5.38-2
1.52-2 1.37-2
7.22-l 6.96-l
1.55-1 1.19-l
5.07-2 I.65-2
1.19ro 1. w+o
3.20-l 3.07-l
1.03-l 9-60-P
2.50+0 2.u2*0
5.36-l 5.15-l
1.73-l 1.61-l
200 13.06+2)
3.22-l 3.10-l
7.06-2 6.72-2
2.31-2 2.10-Z
1.12+0 1.oa+o
2.bO-1 2.30-l
7.79-2 7.18-2
2.32+0 2.25*0
e.ss-1 1.76-l
1.60-l 1.*a-1
3.89*0 3.77+0
8.31-l
8.00-i
2.67-l 2.49-f
25u 13.59tz1
9.52-l Y.35-1
9.82-2 9.37-2
3.21-2 2.93-2
1.57+0 L.Sz+o
3.36-l 3.22-l
1.08-l 1.00-l
3.27+0 3.16+0
6.95-l 6.68-l
2.22-1 2.08-1
s.qe+o 5.31+0
1.16,0 1.12*0
3.75-l 3.50-l
300 14.11*21
5.96-1 5.74-l
1.28-l 1.23-1
9.20-2 3.85-2
2.07+0 2.01*0
o.q2-1 4.25-l
l.Q2-l 1.32-l
4.32+0 *. 19*0
9.17-1 8.83-i
2.95-l 2.75-l
7.24*0 7.03+0
1.59-o 1.4BIO
q.91-1 *.63-l
350 lb.63+2l
7.53-l 7.26-l
1.62-1 1.55-l
5.29-2 1.85-2
2.63+0 2.55+0
5.59-l 5.37-l
1.80-l 1.67-l
5.9a*o 5.31*0
1.16*0 1.11+0
3.73-l 3.98-l
S.lWO a.91+0
1.9510 1.m*o
6.27-l s.ua-1
400 15.13*21
9.25-l 8.92-1
1.98-l 1.90-l
6.46-2 5.99-2
3.2910 3.13*0
6.66-l 6.60-l
2.21-l 2.05-1
6.79+0 6.59+0
1.&?*0 1.37*0
1.58-I *.28-l
1.12+1 1.091
2.4010 2.32+0
7.70-l 7.23-l
es0 l5.63+2)
1.11+0 1.07+0
2.38-l 2.27-l
7.72-2 7.11-2
3.us*o 3.77*0
B.ZQ-1 7.92-l
2.65-l 2.47-l
u.10*0 7.86+0
1.7190 1.65+0
5.50-l 5.15-l
1.35+1 1.31+1
z&.8*0 2.78*0
9.25-l 8.70-l
500 16.13*21
1.30+0 1.26+0
2.80-I 2.68-l
9 .o 7-2 0.37-Z
1.59+0 *.*5+0
9.71-l 9.3+1
3.12-l 2.91-l
3.56-O 9.2mo
2.0210 1.95+0
6.N&1 6.07-I
1.60+1 1.55+1
3.eo*o 3.29+0
1.09~0 1.02+0
550 16.63*21
1.5210 1.,6+0
3.24-l 3.11-l
1.05-l 9.70-Z
5.3wo 5.1a+o
1.12+0 l.OWO
3.62-l 3.38-l
1.11*1 1.07*1
2.35+0 2.26+0
7.53-l 7.06-1
1.85+1 1.00*1
3.96+0 3.1)3*0
1.26+0 1.19+0
600 1.74+0 t 7.1212 I 1.68+0
3.71-l 3.56-l
1.20-l 1.11-l
b-14+0 5.91+0
1.29*0 l.ZWO
l .15-1 3.80-1
l-27*1 l.ZWl
2.69+0 z.QI+o
E-6*-1 8.12-l
2.13+1 2.07+1
4.55*0 *.a0+0
l&5*0 1.37*0
650 I7.61*21
1.sa+o 1.91+0
4.21-l *.o*-1
1.36-l 1.26-1
6.98+0 6.77+0
1.e7*0 1.,1*0
6.71-l @.*1-l
1.45*1 1.*1+1
3.06+0 2.96+0
9.82-l 9.23-l
2.42*1 2.35+1
5.17*0 5.00*0
1.65*0 1.56*0
700 16.Dsctl
2.23+0 2.x*0
4.74-I l .55-1
1.53-L 1.*1-t
7.07+0 7.63*0
1.65*0 1.59*0
5.30-E 4.97-l
l.bl*l 1.59+1
3.w+o 3.3u+o
1.10*0 1.0*+0
2.72+1 2.65+1
S.BDO S.KhO
1.86+0 1.76+0
FY.lI(
SO
FYHW
FY.lM
SO
-0.00
30.00
FUllI!
SO
50.00
FYHN
FY.lM
60.00
SO
50 tb27*2l
8.93-1 8.62-l
1.95-t 1.87-l
6.3*-2 5.86-2
1.e7+0 1 .qz+o
3.25-l 3.12-l
1.05-1 9.82-Z
Z.lWO 2.07+0
5.83-l @.65-l
1.57-1 l&6-1
t.aa+o 2.79+0
6.67-l 6.a3-1
2.17-t 2.03-l
100 11.93r2)
2.73+0 2.65+0
5.93-l 5.70-l
1.91-I 1.78-l
4.51+0 q.37*0
9.93-1 9.57-l
3.21-l 3.00-l
6.57+0 6.38rO
1.17+0 1.*2+0
8.79-l U.QS-1
8.0*+0 a.59*0
2.04*0 1.97*0
6.66-l 6.26-l
350 42.51*21
s.14+0 e.ss+o
1.11*0 1.07*0
3.58-l 3.35-l
e.47+0 8.22+0
1.8WO 1.79+0
6.01-l s.m-1
1.23+1 1 .I 9+1
2.78W 2.6810
9.00-l 6.57-l
1.65+1 1.60+1
3.m*o 3.71*0
1.25*0 1.17*0
200 t3.06+21
7.99+0 7.76+0
1.72*0 1*66+0
5.55-l 5.20-I
1.31+1 1.27+1
2.8WO 2.79+0
s.u-1 8.79-l
1.90+1 1.1)5+1
l .32*0 4.11*0
1.39+0 1.31*0
2.5Q+l Z&7*1
5.97*0 5.71*0
l.YwO
250 13.59+2)
1.12+1 l.O%rl
2.e2.0 2.34+0
7.80-l 7.33-I
1.9**1 1.7Wl
e.o7*0 3.9wo
1.31+0 1.2340
Z-65+1 2.ser1
6.07+0 s.m+o
1.97*0 l&6*0
3.53*1 3.w+1
s.eo+o 8.1WO
2.76+0 t.s9*0
300 t4.ll*tl
1.w+1 1.41+1
3.20*0 3.10*0
1.03*0 9.70-I
z.e2*1 2.35*1
5.39+0 5.2lW
1.73*0 1.6*+0
3.9Wl 3.39*1
8.03*0 7.7mo
2.60+0 Z&6+0
*.61+1 l .*9*1
1.11+1 1.07*1
3.62*0 3.*3*0
350 tY.63.2)
1.a7r1 l.EZll
e.07*0 3.93*0
1.30+0 1.23*0
3.05*1 2.97*1
6.83+0 6.61+0
2.20+0 z.oa+o
l .37+1 @.26+1
1.01.1 s.a7*0
3.30*0 3.13+0
l.@OTl l-36+1
l .60*0 4.36+0
900 ,5.13*2,
2.30+1 2.23+1
5.00+0 4.84*0
1.6010 1.51*0
3.73*1 3.63*1
a.Io+o 8.1WO
2.71*0 2.56+0
1.25*1 1.21*1
a.o7+0 3.a5+0
1.7201 1.67*1
5.57+0 s.3wo
q50 15.63+21
2.75*1 2.68+1
s.01+0 5.62*0
1.93+0 1.n2+0
q.*s+1 *.3w1
1.01+1 9.7810
3.26*0 3.oa+o
1.5ml 1.15+1
a. as*0 4.64+0
2.07+1 2.01*1
6.82*0 6.@7*0
500 l6.13*21
3.2111 3.15+1
7.10*0 6.87+0
z.za+o 2.15+0
l.lWl 1.15+1
3.s5*0 3.65+0
1.77*1 X.72*1
s-71+0 SAW0
2.**+1 2.3611
8.05+0 2.65~0
550 16.63+2)
3.7511 3.65+1
%.26*0 7.99*0
2.65+0 2.51+0
1.3Wl 1.3*+1
e.W+O 1.25*0
2.05~1 1.991
6.73+0 6.39*0
2.83+1 2.7511
9.36+0 a.so*o
600 17.1242)
4.30+1 b.lG.1
9.18+0 9.19+0
3.05+0 2.8WO
1.59+1 1.5**1
5.15+0 e.sa+o
2.3601 2.29+1
7.73*0 7.3wo
3.2@*1 3.15*1
1.07*1 1.02*1
650 t7.61.+21
*.u7+1 l .76*1
1.0701 1.04+1
3.97+0 3.28+0
l-80,1 1.75*1
5.86*0 5.56+0
2.68+1 2.60+1
0.79*0 8.36*0
3.6b+l 3.57*1
1.22*1 l-16+1
1.21+1 1.17+1
3.91*0 3.70*0
2.03+1 1.97*1
6.61+0 6.27+0
3.01+1 2.93+1
9.92+0 s.q3+0
a.13*1 e.o2*1
1.37+1 1.31*1
See page 480 for Explanation
SO
FY.lH
ENEREY tP c-n,
700 16..09*21
FY.IW
FYHH
20.00
SD
FYtlM
FYHH
15.00
ENERGY ,P C-H,
ANGLE
FYHH
THROUGH AR
10.00
of Tables
501
FMJIM
FY.l(I
1.a3*0
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm*) vs. A .ngular Spread (in mrad) PIONS ANGLE
5.00
ENERGY IF c-n,
SO
50 ll.z7+zl
J-11-2 2.96-2
100 ll.vJ*z~
1HROUGH C1
10.00 FY.lM
SO
7.12-3 6.71-3
Z.PD-3 2.11-3
1.05-l 1.00-l
9.26-2 8.87-Z
2.07-2 1.96-2
6.89-3 6.16-3
150 l2.51*21
1.71-l 1.64-l
3.79-2 3.60-2
200 l3.06+21
2.Q5-1 2.54-l
250 13.59+21
2.33-2 2.21-2
7.70-3 6.94-3
2.15-1 2.07-l
1.72-2 4.50-2
l-54-2 l-41-2
3.59-l 3.@6-1
7.83-z 7.48-2
2.55-2 2.34-2
3.17-l 3.05-I
6.91-2 6.59-2
2.26-2 2.06-2
6.55-l 6.32-l
1.41-1 1.35-1
P-60-2 9.23-2
1.09+0 1.06+0
2.36-l 2.26-l
7.64-t 7.07-2
1.25-2 1.13-2
5.93-l 5.71-l
1.28-l 1.22-I
W-17-2 3.82-2
1.22*0 1.18+0
2.63-l 2.52-l
8.52-2 7.88-2
2.05+0 1.99+0
*.10-1 e-23-1
1.*2-1 1.32-l
5.81-2 5.53-2
1.90-Z 1.73-2
9.19-1 8.87-l
1.97-1 1.88-l
6.40-2 5.90-z
1.90+0 1.84+0
4.07-l 3.90-l
1.31-t 1.21-1
3.20+0 3.1010
6.82-l 6.56-l
2.19-l 2.04-l
3.71-1 3.57-l
8.08-2 7.7022
2.61-2 2.91-2
1.29+0 1.24*0
2.75-l 2.64-l
8.93-Z 8.25-Z
2.68+0 2.59*0
5.70-1 5.@8-1
1.83-t 1.71-l
*.50+0 4.36+0
9.57-1 9.22-t
3-08-l 2.87-l
300 1*.12*21
w-as-I 9.70-l
1.05-l 1.01-l
3.@6-2 3.16-2
1.70+0 1.66*0
3.63-l 3.@8-1
1.17-1 1.08-l
3.54+0 3.113+0
7.52-l 7.2@-1
2.42-l 2.25-l
5.95+0 5.77+0
l-26+0 1.21*0
1.06-l 3.80-l
350 l9.63*21
6.18-l 5.95-l
1.53-1 1.27-l
1.35-2 3.90-2
2.16+0 2.09+0
4.59-l P-91-1
1-a-1 1.37-l
*.@v+o b-36+0
9.52-l 9.17-l
3.06-l 2.05-1
7.54+0 7.32+0
l-60*0 1.54+0
5.14-l 4.82-l
100 15.13+21
7.59-I 7.32-l
1.63-I 1.56-l
5.31-2 Q-88-2
2.65+0 2.57+0
5.63-l 5.41-f
1.91-l 1.68-l
5.53*0 5.36*0
1.17+0 1.12*0
3.75-l 3.51-1
s-28*0 s.oo+o
1.97+0 1.90+0
6.32-l 5.93-l
I50 15.63+21
3.11-1 8.79-l
1.95-I 1.87-l
6.35-2 5.84-2
3.19*0 3.09+Ll
6.75-l 6.50-l
2.17-1 2.02-l
6.65+0 6.*5+0
1.*0+0 1.35+0
e-51-1 1).22-l
1.11*1 l.OBll
2.36+0 2*20+0
7.58-l 7.12-l
500 16.13*21
1.07+0 1.03+0
2.29-L 2.20-l
7.&5-2 6.87-2
3.77*0 3.6510
7.96-l 7.66-l
2.56-l 2.39-l
7.85,0 7.61*0
1.65+0 1.59+0
5.31-l e.se-1
1.31*1 1.27+1
2.79+0 2.69*0
8.95-l 8&1-l
550 16.63+21
l-21+0 I.ZO+O
2.66-l 2.55-l
8.63-2 7.96-2
*.SG+O 2.2@+0
9.25-l 8.90-I
2.97-1 12.77-l
V-12*0 8.85+0
1.92+0 1.a5+0
6.17-l 5.79-l
1.52*1 1.1)8+1
3.2P+O 3.13+0
1.oeeo 9.79-l
600 i7.12*21
l-83+0 1.38+0
3.05-l 2.92-l
9.87-2 9.12-t
5.03+0 *.88*0
l-06*0 1.02+0
3.@0-1 3.18-l
l.OWl 1.01+1
2.21+0 2.x3+0
7.08-1 6.65-1
1.7511 1.70+1
3.73+0 3.6a+a
1.19+0 1.z2*0
650 f7.61*21
l-62+0 1.57+0
3.46-l 3.32-l
1.11-l 1.03-l
5.72+0 5.55+0
l-20*0 l.lb*O
3.86-l 3.61-l
l-19+1 1.15+1
2.51*0 2.*2+0
8.05-l 7.56-l
1.99+1 1.93*1
l .211+0 e.1010
1.35ro 1.27*0
700 l8.09+21
1.834 1.77+0
3.89-l 3.73-l
1.25-l 1.16-l
6.45+0 6.25+0
l-35+0 1.30+0
4.35-l q-07-1
1.3Wl 1.30+1
2.83+0 2.73+0
9.06-1 8.52-l
2.24+1 2.17+1
l .7a+o -.62+0
1.53+0 l.qWO
SD
FYNH
SD
FNNH
FY.lIl
SO
FYWI
30.00 SD
*o-o0
FYNM
FY .l#
FUHM
20.00
SO
ANGLE
FUHM
15.00 FU.lU
ENERGY IP c-w7
FYHU
FY.lU
SO
50.00 FY.lH
FUHU
FY.IM
60.00 FU.lN
50 I1.27+21
7.36-l 7.10-l
1.60-I 1.54-l
5.21-2 4.82-2
1.21+0 1.17*0
2.67-l 2.57-l
8.69-2 8.07-2
1.77*0 1.71*0
3.98-l 3.83-l
1.29-l 1.20-l
2.39*0 2.32+0
5.@9-1 5.29-l
1.79-l 1.67-1
100 ll.93*21
2.25+0 2.18+0
r).a7-1 6.66-l
1.57-l 1.46-l
3.72+0 3.61+0
8.15-l 7-B&1
2.63-l 2.16-l
5.4e+0 5.2e+o
1.21*0 t.l7+0
3.93-1 3.69-l
7.35+0 7.13co
l-68+0 l.bZ*O
5.-6-l 5.13-t
150 t2.sL*Pb
4.23+0 4.1010
9.12-l 0.79-1
2.9w-1 2.71-l
6.99*0 6.78+0
1.53*0 1.47+0
a-93-1 a.55-1
1.02*1 9.91+0
2.2810 2.29*0
7.38-l 6.91-l
1.37+1 1.33*1
J.lWO
1.02*0 9.67-l
200 13.06*21
6.58+0 6.38+0
1.*1+0 l-36+0
1.55-l e-27-1
1.08*1 1.05*1
2.37+0 2.29*0
7.66-l 7.20-l
1.57+1 1.53+1
3.55+0 3.q3*0
l.lWO
2.11+1 2.05+1
b-91*0 1.75+0
1.59+0
l.OWO
250 13.59*27
9.21+0 8.97+0
1.99*0 1.92+0
6.*0-l 6.00-l
1.52+1 1.*7*1
3.3**0 3.23*0
1.07+0
l.ol*a
2.20+1 2.1Wl
*.99+0 l .03*0
1.6140 l-52*0
2.9Wl 2.86+1
1.91*0 6.69+0
2.2wo 2.12+0
300 8*.12*21
1.22r1 l-18+1
2.63+0 2.54*0
8.45-l 7.95-1
2.00.1 1.9Wl
l .42*0 4.27+0
1 .et*o 1.3,*0
2.19*1 2.01+1
s.so*o s-39+0
2.X3+0 2.02+0
3.1)5*1 3.75*1
350 14.63+21
1.51*1 l-50+1
s-33+0 3.22*0
1.07+0 1.00+0
2.52*1 2.e5*1
5.s1+0 s-*3+0
1.eo+o 1.70'0
3.63+1 3.9+1
8.37+0
&LO*0
2.71*0 2.56+0
*.lii?*1 q-70*1
15.13+21
1.89+1 l-81+1
*.10*0 5.97va
3.3x+0 1.2e*o
3.09*1 3.00+1
5.90+0 6.6WO
2.22*0 2.10'0
Q&3+1 4.32+1
1.02*1 9.97+0
e50 15.63+2)
2.27*1 2.21*1
4.93+0 1.77+0
1.5mo 1.19*0
3.69+3 3.59+1
a.29*0 o-03+0
t-67+0 P-53+0
500 t6.13*27
2.67+1 2.60*1
5.02+&i 5.63*0
1.07*0 l.TE+O
e-33+1 I.22+1
9.7wo 9.*mo
3.15*0 2.99+0
550 16.63*2)
3.10+1 3.01*1
6.77*0 6.5510
2.1700 2.05+0
1.13*1
1.10*1
3.67+0 3.49*0
600 17.12r21
3.55+1 3.*5+1
7.7e.+a 7.53*0
2.5010 2.36*0
1.3001 l-26+1
650 l7.61+21
I).02+1 3.91*1
8.8WO a-57*0
P.BQ*o t-69*0
700 18.09~21
4.5111 *.*0+1
9.96*0 9.66+0
3.20*0 3.03*0
400
See page 480 for Explanation
3.05+0
i.sa+o
2.97*0 2.aleo 1.15*1 1.12*1
3.77*0 3.57*0
3.33+0 3.16*0
1.a2*1 1.37+1
q-65*0 q.u*o
l-23+1
4.01+0
1.19+1
3.ao+o
1.70*1 l-65+1
s.ss*o 5.30*0
1.45+1 i.e1*1
k-TWO l .*s+o
2.00*1 1.95*1
6.60*0 f.27*0
l-69+1
l-66*1
5.61+0 5.23*0
2.33*1 2.2Wl
7.68*0 7.30*0
4.22+0 *. 00'0
1.9Wl l-W+1
6.3WO 6.0200
2.67+1 Z.S9+1
a.es*o .9.39*0
l.bMl l.Q3+1
@.80*0 9.55*0
2.20*1 Z-1*+1
7.21*0 6.15*0
3.03*1 2.91*1
z.v0*1 s.ss+o
l-67+1 l-62*1
s.el*o 5.1**0
2.4a+1
LI.13+0
z.e1+1
7.73+0
3.*1+1 3.31*1
1.13+1 1.07*1
of Tables
502
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PI :ONS T”R0 IUQH FE ANGLE
3.00
10.00
ENERGY IP c-n,
FY.lM
SD
50 t1..?7*2)
2.67-Z 2.54-Z
6.18-3 5.81-3
2.10-3 1.82-3
8.93-2 8.61-2
100 l1.33+2)
7.90-Z 7.56-2
1.78-2 1.66-2
5.94-3 5.28-3
13lJ l2.52+21
1.116-l 1.~0-1
3.24-2 3.08-2
zoo 13.07+21
2.24-l 2.16-l
250 t3.61+2)
FYHM
50
20.011
FY.ltI
SO
2.00-Z 1.30-2
6.66-3 5.97-3
1.84-l 1.77-l
4.03-Z 3.86-2
1.33-2 1.20-2
3.07-l 2.93-1
6.71-2 6.40-2
2.19-2 2.00-2
2.65-1 2.53-l
3.90-z 5.62-2
1.93-2 1.76-2
5.37-l 3.37-l
1.20-l 1.13-1
3.32-2 3.60-2
9.32-l 9.00-1
z.oc-1 1.92-l
6.31-2 6.01-2
1.07-2 3.66-3
5.0?-1 4.84-l
1.08-l 1.04-l
3.55-2 3.23-2
1.oe+o 1.00+0
2.23-l 2.14-l
7.23-2 6.69-2
1.74+n 1.68+0
3.73-l 3.38-1
1.20-l 1.12-1
4.35-2 4.71-2
1.63-2 1.47-2
7.10-l 7.30-l
1.67-l 1.60-l
5.44-2 3.00-2
1.61’0 1.36+0
3.#3-1 3.31-1
1.11-1 1.03-1
2.71*0 2.62+0
3.77-l 5.35-1
1.86-1 1.73-1
3.14-l 3.02-l
6.67-2 h.SS-2
2.23-2 2.05-Z
1.09+0 1.03+0
2.33-i 2.24-l
7.58-2 6.99-2
2.27+0 2.19+0
4.83-l 4.64-l
1.53-1 1.44-1
3.81+0 3.69+0
8.10-1 7.79-1
2.60-1 2.43-l
300 14.13+21
4.13-1 3.98-l
9.00-z 8.59-2
2.93-2 2.68-2
1.44+0 1.39+0
3.07-l 2.95-1
9.36-2 9.20-2
3.00*0 2.9010
6.36-I 6.12-1
2.05-l 1.90-1
6.C4.0 4.8a+o
1.06+0 1.03+0
3.43-l 3.21-1
350 I4.64+2)
3.23-l 3.03-l
1.13-l 1.08-l
3.70-2 3.38-Z
1.82*0 1.76+0
3.88-l 3.73-l
1.25-l 1.16-l
3.8010 3.68+0
8.03-l 1.73-1
2.59-l 2.41-1
6.39*0 6.190
1.33+0 1.30+0
4.35-l 4.06-l
400 16.15*21
6.91-l 6.16-l
1.38-l 1.32-1
4.51-2 4.13-2
2.24+0 2.17+0
*.76-l 4.57-l
1.33-1 1.42-1
4.67*0 4.53+0
9.83-1 3.52-1
3.17-1 2.96-l
7.86+0 7.62*0
l-66,0 l-60*0
5.33-1 3.00-l
430 l3.56+21
7.69-1 7.42-l
1.66-1 1.38-1
5.33-2 4.96-2
2.69*0 2.61+0
5.71-l 3.19-l
1.84-l 1.71-1
3.62+0 3.43+0
l.lWO 1.14*0
3.81-1 3.36-l
9.44+0 9.16+0
1.99*0 1.92*0
6.40-l 6.01-l
500 16.16+21
9.07-1 8.74-l
1.94-1 1.86-1
6.33-2 5.81-2
3.18+0 3.0810
6.72-l 6.47-l
2.16-1 2.01-l
6.63+0 6.43+0
1.39+0 1.34+0
4.49-l 4.20-l
1.11+1 1.oa+1
2.33*0 2.27*0
7.53-l 7.09-l
350 16.66+21
1.05+0 l.Ol+O
2.23-l 2.16-1
7.32-2 6.74-2
3.63+0 3.3n+o
7.81-1 7.31-1
2.31-1 2.34-l
7.71*0 7.40*0
1.62+0 1.36*0
3.21-l 4.88-l
1.29+1 1.23+1
2.74*0 2.64*0
0.77-l 8.24-l
600 17.16+2~
1.20+0 l-16+0
2.38-l 2.47-l
8.37-2 7.72-2
..24+0 4.11+0
8.36-l 8.62-l
2.88-l 2.68-l
8.86~0 a. 39*0
1.86+0 l.BOIO
3.98-1 3.60-l
1.@8+1 1.44*1
3.x4+0 3.04*0
t.oo*o 9.47-l
650 l7.63+21
1.37+0 l-32+0
2.92-1 2.80-l
9.48-2 8.75-2
4.8210 4.68+0
1.01*0 9.79-l
3.26-l 3.03-l
1.00*1 9.77*0
2.1210 2.04*0
6.79-l 6.37-l
1.68+1 1.64*1
3.37*0 3.43+0
1.1400 1.07*0
700 I8.14+2)
1.54+0 1.43ra
3.29-l 3.13-l
1.06-l 9.84-2
3.44+0 3.27+0
1.14*0 1.10+0
3.67-l 3.43-l
1.13+1 1.10+1
2.38*0 2.30+0
7.64-l 7.18-l
1.30+1 1.l)4*1
4.03+0 3.89*0
1.2n+o 1.21+0
-_____--
___---_.
_--____ANGLE ENEREY IP c-lo
--------
--------
30 .DO SO
FYHM
15.00
---___--
__- ----_
- -------.
40.00
FYHtl
FN.l)I
so
FUHM
FYHM
FY.11
SO
_-------.
so .oo FY. 111
so
FYHN
FYHM
_------_
FY .lll
._-_-_
6O.DC FY.lN
so
FYWN
FY11ll
SO t1.2742)
6.30-l 6.08-l
1.37-l 1.31-1
1.46-2 4.11-2
1.04*0 1.00+0
2.26-l 2.19-1
7.43-2 6.88-2
1.53*0 1.40+0
3.40-l 3.27-l
1.10-i 1.02-l
2.08w2 2.02+0
4.70-1 4.32-l
1.52-1 1.42-1
100 #1.93+27
1.92~0 1.86*0
e-la-1 3.98-1
1.33-1 1.24-l
3.19+0 3.09*0
6.93-l 6.67-l
2.23-l 2.08-l
4.69*0 4.3310
1.03+0 9.96-1
3.3*-1 3.12-l
6.38+0 6.19*0
1.43*0 1.3wo
4.64-l e.33-1
130 l2.32*27
3.60+0 3.49+0
7.73-l 7.44-l
2.43-1 2.32-l
3.98,0 3.81+0
1.29*0 1.23+0
4.18-l 3.31-1
5.79+0 e.54+0
1.93*0 1.57*0
6.25-l S&7-1
1.19+1 1.16+X
2.65*0 2.53+0
t.1a-1
200 13.07+27
3.6010 3.QSrO
1.19+0 1.13+0
3.85-l 3.60-l
9.23+0 9.02+0
2.01*0 1.94*0
6.48-l 6.08-l
1.36+1 1.32+1
3.00*0 2.30+0
9.79-l 9.13-l
1.8Wl 1.73+1
4.17*0 4.03+0
1.35*0 1.27*0
230 13.61+2)
7.s7ro 7.64+0
1.68+0 1.62+0
5.41-l 3.07-l
1.30+1 1.26+1
2.83+0 2.73*0
9.10-l 6.56-l
1.90*1 a.a5+1
4.23+0
~*os+o
1.36*0 1.28+0
2.57*1 2.30+1
5.85*0 3.68+0
1.30*0 1.7940
300 14.13*21
l.ow l.Ol+l
2.22*0 2.14*0
7.14-1 6.70-l
1.71+1 1.67+1
3.74+0 3.61rO
1.20+0 1.13+0
2.30+1 2.44+1
5.59+0 3.41eo
1. ao+o 1.70+0
3.37+1 3.28+1
7.73+0 7.31*0
2.51*0 2.37+0
330 (4.64*21
1.31*1 1.27+1
2.82,0 2.72+0
9.05-1 8.31-1
2.17+1 2.11*1
4.7**0 4.33*0
l.st*o 1.93*0
3.16+1 3.07+1
7.09+0 6.86+0
2.25+0 2.16+0
4.2401 l .13+1
9.83+0 9.52*0
3.10*0 3.01*0
405 l3.13+21
1.61rl x.37+1
3.46*0 3.35+0
1.11+0 1.04*0
2.66*1 2.59+1
s.a3*0 5.63*0
1.8740 1.77+0
3.86*1 3.76+1
8.72+0 11.43+0
2.81*0 2.66+0
1.20+1 1.17*1
3.92+0 3.71+0
430 l5.66+2)
1.94*1 1.88rl
@.16*0 *.03*0
1.33+0 1.23*0
3.18,1 3.10+1
7.01'0 6.79+0
2.25+0 2.13+0
4.61+1 4.49+1
1.04+1 1.01+1
3.3a+o 3.2D+O
1.43*1 1.40+1
4.72*0 4.47*0
300 16.16+2)
2.2811 2.22+1
e.91+0 4.75.0
1.37+0 1.40+0
3.74+1 3.69,1
8.27*0 8.01*0
2.66+0 2.51+0
1.23*1 1.1911
4.00+0 3.79*0
1.71+1 1.63rl
3.57*0 3.29*0
530 16.66+21
2.6641 2.58*1
3.72+0 3.33*0
1.L)3*0 1.73+0
4.33+1 4.22*1
3.62.0 9.32*0
3.09+0 2.93+0
1.43+1 1.39+1
4.63*0 4.41+0
1.98Tl 1.92*1
6.48+0 6.16*0
600 17.X6+2)
3.04*1 2.95rl
6.57+0 6.36+0
2.1010 1.39+0
4.93*1 4.02+1
1.10*1 1.07r1
3.56.0 3.37+0
l-64*1 1.6001
3.3e*o 3.07*0
2.27rl 2.21+1
7.45+0 7*05*0
635 17.63+2:
3.4421 3.3511
7.57+0 7.23+0
2.33*0 2.26+0
1.2Wl 1.21*1
4.04*0 3.8300
l-87*1 1.01*1
6.08+0 3.77*0
2.55*1 2.51*1
a.47+0 8.OVO
705 tB.ln+zl
3.a7+1 3.77*1
a.41+0 8.15.0
2.63+0 2.33IO
1.41*1 1.37*1
4.36+0 4.32+0
2.11+1 2.Ll4+1
6.83*0 6.31+0
2.31*1 2.5211
9.55*0 s.oI*o
See page 480 for Explanation
8.69-l
of Tables
503
Atomic Dab and Nvclcor Data Tables, Vol. 15, No. 5, Mq
1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PI ONS YHROIUGH ZN ANGLE
5.00
10 .oo
15.00
20.0t FL11
so
3.65-2 3.47-Z
1.20-Z 1.09-2
2.76-l 2.65-l
6.04-Z 5.76-Z
1.98-2 1.80-z
Y. 38-1 s.ao-1
1.DB-1 1.03-l
3.52-2 3.23-2
8.35-I a.cs-1
r.ao-i 1.72-i
5.84-z 5.38-2
3.15-2 2.31-2
9.31-1 8.38-i
2.00-l 1.91-1
6.50-Z 5.98-2
1.56+0 1.51*0
3.34-l 3.20-l
1.08-l 1.00-l
1.50-l 1.43-l
4. an-2 4.48-z
1.*4+0 1.39+0
3.08-l 2.36-1
9.98-2 9.23-2
2.42+0 2.34*0
5.16-l 11.96-l
1.66-l 1.54-1
9.75-l 3.*1-1
2.03-1 2.00-l
6.73-2 6.25-2
2.02+0 l-96+0
4.31-1 Q.l@-1
1.39-l 1.29-1
3.401.0 3.23+0
7.23-l 6.96-1
2.33-l 2.17-l
2.64-2 2.40-z
1.2810 1.24*0
2.75-l 2.63-l
8.91-2 a.22-2
2.6710 2.59*0
5.68-1 5.46-l
1.83-l 1.70-l
~.so+cl 4.36+0
9.54-1 9.19-1
3.06-l 2.96-l
1.01-l 9.68-2
3.32-2 3.03-Z
1.62+0 1.57+0
3.*7-1 3.33-l
1.12-I 1.03-l
3.33+0 3.2810
1.13-1 6.91-1
2.31-l 2.x5-1
5.70+0 5.53*0
1.2o*n X.16+0
3.86-l 3.62-l
5.73-l 5.52-l
1.24-l 1.18-l
4.05-Z 3.70-Z
z.oo*o 1.93*0
4.25-l Q.O8-1
1.37-l 1.27-l
a.1740 4.04+0
8.02-l B.@S-1
2.63-l 2.69-l
7.0t+c 6.90+0
1.5a+o 1.43*0
9.76-l 4.*5-1
450 15.67+21
6.87-l 6.62-l
1.48-1 1.41-l
4.a3-2 4.42-2
2.10+0 2.32+0
5.10-1 W.YO-1
1.64-l 1.52-1
5.01+0 4.06+0
1.05*0 1.02+0
3.40-l 3.17-l
9.43+0 8.19+0
1.78+0 1.71+0
5.71-1 5.35-l
500 (6.17*21
8.09-1 7.60-I
1.74-1 1.66-l
5.66-Z 5.20-Z
2.83+0 2.7wo
6.00-l 5.77-1
1.33-1 1.79-l
5.92*0 5.73+0
1.2**0 1.20+0
*.oo-1 3.74-l
9.95*0 9.65+0
2.10+0 2.02+n
6.73-l 6.32-1
550 16.67+2)
9.35-1 3.06-1
2.01-l 1.33-1
6.55-Z 6.02-Z
3.29+0 3.12+ll
6.97-l 6.70-l
2.24-1 2.06-l
6.aa+o 6.6740
1.*5+0 1.35+0
4.65-l 4.35-l
1.15+1 1.12*1
z.w+o 2.35+0
7.62-l 7.31-l
600 t7.17*21
1.07rO 1.oe+o
2.30-l 2.21-l
7.49-2 6.90-2
3.7wo 3.66*0
7.99-I 7.69-1
2.57-l 2.39-1
7. so*0 7.66+0
1.66,0 1.60-O
5.33-l 1.99-1
1.32+1 1.29+1
2.aooo 2.70+0
8.98-1 a.*@-1
650 17.67*2l
l.tP+O 1.18+0
2.61-1 2.50-l
8.46-2 7.82-2
4.30+0 4.17*0
9.07-1 8.73-l
2.91-1 2.72-l
a.swo 6.71,0
1.89+0 1.02+0
6.05-L 5.67-l
1.50*1 l&6*1
3.19+0 3.06+0
1.02*0 9.59-1
700 t6.16*2)
1.37+0 1.330
2.9*-i 2.61-L
5.52-2 a-75-2
e. 85+0 e.70*0
1.0240 3.83-1
3.26-l 3.06-l
1.01*1 9.a2*0
2.12+0 2.05*0
6.81-l 6.39-1
1.7011 1.65*1
3.59*0 3.47+0
1.14*0 l.OWO
FUHM
SO
50 (1.27+2)
2.41-2 2.29-2
5.62-3 5.27-3
1.31-3 1.66-3
6.09-Z 7.75-2
l.ai-2 1.71-2
6.03-J 5.39-3
1.65-l 1.59-1
100 11.33+21
7.10-Z 6.78-Z
1.60-Z 1.51-2
5.33-3 4.76-3
2.41-l 2.32-l
5.30-Z 5.05-Z
1.74-Z l.sa-2
150 l2.52+21
1.30-l 1.25-l
2.32-2 2.76-2
3.70-3 8.66-3
1).42-l 4.33-l
9.76-2 3.32-2
200 l3.07+21
2.01-I 1.93-1
4.45-2 4.22-2
1.46-Z 1.32-Z
6.95-l 6.70-l
250 13.61+21
2.81-1 2.70-1
6.17-2 5.87-z
2.03-Z 1.83-i:
300 l4.13+2)
3.69-1 3.55-l
a-07-2 7.69-2
350 14.65+21
4.67-l 9.49-1
SOD 15.16*2>
.-----meANBLE
FY.lH
SD
FYHH
ENERGY iP C-MI
._-__---_.__---- -- .-_---___
SD
SD ll..?7*2~
5.66-l 5.46-l
100 l1.93*21 150 tt.SP+Z)
FYWM
._-------
-------
-----__
FYHM
FYHM
FY.lH
-------60.00
FM .lH
SD
1.23-l 1.18-I
@.02-2 3.70-Z
9.40-l 9.08-1
2.05-l 1.97-1
6.66-Z 6.18-2
1.39+0 1.3wo
3.05-l 2.93-1
5.93-2 9.21-2
1.83+0 1.1)3+0
4.22-l 4.06-l
1.37-l 1.27-l
1.72*0 1.66+0
3.70-l 3.56-l
1.19-1 1.11-l
2.66*0 2.77+0
6.20-l 5.97-1
2.00-L 1.86-l
@.22+0
9.25-1
@.OWO6.92-1
2.39-1 2.79-1
5.76+0 5.59+0
1.21*0 1.23+0
4.15-l 3.89-1
3.22+0 3.12+0
6.91-1 6.65-l
2.23-i 2.07-1
5.37*0 5.21*0
1.16+0 1.11+0
3.73-l 3.#9-1
1.31*0 7.6WO
l-73,0 1.67+0
5.58-l 5.21-l
1.07*1 1.0**1
2.*0-o 2.32+0
7.76-l 7.30-l
200 5.01*0 I3.07*2 I Q.86+0
1.07+0 1.03*0
3.w-1 3.22-l
8.33*0 a.os+o
1.79+0 1.73*0
5.78-1 5.*3-1
1.22+1 1.19*1
2.690 2.59*0
6.66-l O.lS-1
1*66*1 1.62*1
3.73*0 3.6OCO
1.2wo 1.13*0
tso I3.6112,
7.0**0 6.83+0
1.50*0 1.15+0
9.63-l 4.52-l
1.17'1 1.13+1
2.52+0 2.44*0
6.12-l 7.63-l
1.71*1 1.6711
3.7aro 3.65*0
i .2f+a l.lWO
2.33+1 2.26*1
5.2410 5.07+0
1.6$*0 1.60*0
300 I b.13rt)
9.31+0 9.03+0
i.sa+o 1.91~0
6.37-l 5.98-1
1.5**1 1.50*1
3.31+0 3.22+0
1.07+0 1.01+0
2.26*1 2.20+1
~.99*0 1. as+0
1.61*0 1.51*0
3.06*1 2.97*1
6.%3*0 6.71*0
2.2410 2.11*0
350 ;4.65*2)
1.17*1 l.l**l
2.5110 2.4300
6.07-l 7.96-l
x.95+1 1.ss+1
q.23+0 4.DYrO
1.36+0 i-28+0
t.ll5+z 2.77+1
6.33+0 6.13,0
2.01~0 1.92*0
3.8Wl 3.7Wl
a.7w 8.31@
2.6WO 2.69+0
so0 t5.16+21
1.e4*1 l.qO*l
3.09+0 2.98*0
3.92-1 3.33-1
2.35+1 2.32+1
5.20*0 s.o**o
1.67+0 1.57+0
3.42*1 3.39+1
7.79+0 7.s4*0
2.51+0 2.37-O
e.CS+l *.57*1
1.09*1 1.01*1
3.50*0 3.31*0
kE.0 15.67+2)
1.73*1 1.6601
3.71+0 3.59*0
1.19+0 1.12*0
2.86+1 2.79*1
6.26+0 C.OS+O
2.01+0 1.03~0
l .17+1 4.06*1
9.36+0 9.07~0
3.02*0 2.8WO
1.29+1 1.25+1
4.20*0 3.96*0
500 16.17+2)
2.04*1 1.99*1
4.38+0 *.24+0
1.+0+0 1.32+0
3.37+1 3.2811
7.3640 7.1590
2.37CO 2.2wo
l .119.1 4.76+1
1.10*1 1.07*1
3.56*0 3.37*0
1.53*1 1.ew1
#.SL*O 4.71*0
550 16.67rZl
2.37+1 2.31+1
5.10+0 4.93+0
1.63+0 1.54+0
3.90*1 3.00+1
8.59+0 a.32+0
2.76*0 2.61+0
1.21*1 1.21+1
*.1e*o 3.93*0
1.77+1 1.72+1
5.71)*0 5.*(1*0
600 17.17+21
2.72+1 2.65rl
S.Ci+O 5.67+0
1.67*0 1.77+0
l .a7+1 4.35+1
9.86*0 3.55+0
3.17+0 3.00*0
1.e7+1 1.*2+1
@.76*0 a.51*0
2.03+1 1.97+1
6.6WD 6.30+0
650 17.67+21
3.09*1 3.01*1
6.66iO 6.4krO
2.13+0 2.01+0
x.12+1 l.OWI
3.60+0 3.@1,0
1.67+1 1.62*1
5 .e2*0 5.1,+0
2.31+1 2.24*1
7.55+0 7.17+0
700 18.16+21
3.P6*1 3.38+1
7.50*0 7.26+0
2.40*0 2.27+0
1.26*1 1.22+1
M.O6+0 3.a5+0
1.1)8*1 l.a3+1
6.11*0 5.79*0
2.60*1 2.53+1
8.51*0
See page 480 for Explanation
FYHW
.__------
SO
IO.00
30.00
ENERBV IP C-Ml
FY. 1U
FY.lW
of Tables
504
SD
FY.IH
SD
FYW))
FU.U(
a.os+o
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS ANGLE
5.00
THROUGH GE
10.00
FYHM
2.38-Z 2.27-2
5.57-3 5.23-3
1.90-3 l-64-3
7.99-2 7.65-Z
1.75-2 1.69-2
5.98-3 5.33-3
1.63-l 1.56-l
3.61-2 3.*3-Z
1.19-2 1.07-Z
2.72-l 2.61-l
5.96-Z 5.69-2
1.95-z 1.78-2
100 l1.94*2l
7.00-Z 6.69-2
1.58-z 1.19-2
5.32-3 9.71-3
z.sa-1 2.28-l
5.23-Z 4.98-2
1.72-2 1.56-Z
*.91-l e. 73-l
1.06-l 1.01-l
3.&a-2 3.18-z
8.22-l 7.93-l
1.77-l 1.69-l
5.76-2 5.30-Z
150 l2.52+2~
1.28-l x.23-1
2.88-2 2.73-2
9.58-3 8.57-3
4.12-l 5.26-1
9.62-2 S.la-2
3.1e2 2.87-z
9.16-l 8.81-l
1.97-1 1.88-l
6&O-2 5.89-2
1.53*0 hea+
3.29-l 3.15-l
1.06-l 9.%-2
200 i3.oa+zt
1.98-l 1.40-1
*.3a-2 1).16-Z
1.45-2 1.30-Z
C.ES-1 6.59-l
l.Q7-1 1.*1-1
4.81-z *.41-2
l.@l,O 1.37+0
3.03-l 2.91-l
9.1)3-2 9. on-2
2.38eO 2.30+0
6.08-l *.w-1
1.69-l 1.52-l
250 13.61+21
2.76-l 2.65-l
6.08-Z 5.78-z
2.00-2 l-al-2
9.55-1 5.25-l
2.06-l 1.97-1
6.69-Z 6.15-Z
1.94ro 1.9210
9.21-l @.07-1
1.37-l 1.27-l
3.31*0 I.ZI*O
7.11-1 6-84-l
2.29-l 2.13-L
300 IY.l**zl
3.63-l 3.49-l
7.95-2 7.57-2
2.61-2 2.37-2
l.zS+D 1.22+0
2.70-l 2.59-I
a.77-2 a.os-2
2.63+0 2. SW0
5.59-l 5.37-t
1.80-l 1.67-1
l .42*0 e.28+0
9.38-1 9.03-l
3.01-l 2.01-l
350 14.65*21
*.s9-1 4.*2-l
1.00-l 9.53-Z
3.2-1-Z 2.90-2
1.60*0 1.5**0
3.41-l 3.27-l
1.10-l 1.02-l
3.33+0 3.23rO
7.01-l 6.80-L
2.27-1 2.11-1
5.61*0 5.4**0
l.lWO 1.1e*o
3-81-l 3.56-l
500 I5.17+2)
5.63-l 5.@2-1
1.22-l 1.16-l
3.59-2 3.64-Z
1.96+0 1.90*0
*.18-l U.Ol-1
1.35-l 1.25-l
5.10*0 3.97+0
1.67-l 8.35-L
2.79-l 2.60-l
6.90*0 6.69+0
1.45*0 1.1)0*0
9.66-1 4.38-l
950 I5.67rZl
6.75-l 6.50-l
1.45-l 1.39-l
e-76-2 8.35-2
Z-36*0 2.28,0
5.01-l W.81-1
1.61-I 1.50-l
4.92*0
l .77+0
1.0**0 1.00+0
3.w-1 3.12-l
B.tS*O G.OVO
1.75*0 1.68+0
5.61-l 5.26-l
500 16.16*27
7.95-l 7.67-l
1.71-1 1.63-l
5.58-2 5.12-z
2.70+0 2.69*0
5.90-1 5.67-l
1.90-l 1.76-l
5.a1*0 S.63*0
1.22*0 l.lWO
3.93-1 3.68-l
9.7wo s.*s+o
2.06+0 1.99*0
6.62-l 6.20-l
550 16.68*21
9.23-l 8.90-l
1.98-l 1.89-l
6.45-Z 5.93-2
3.2WD 3.13*0
6.65-l 6.56-l
2.20-l 2.05-l
6.76+0 6.55*0
1.e2*0 1.37*0
l .57-1 *.27-1
1.x3*1 1.10*1
2.*0*0 2.31+0
7.60-1 7.21-l
600 1?.18*2l
1.0510 1.02*0
2.27-l 2.17-t
7.37-Z 6.78-Z
3.72*0 3.60*0
7.85-l 7.55-l
2.52-l 2.35-I
7.76*0 7.53*0
1.63*0 1.57*0
5.2@-1 4.=-1
1.30*1 1.26*1
2.75+0 2.66*0
a.az-1 a.zs-1
CSO i7.60*2~
X.20+0 1.16*0
2.57-l 2.@6-1
8.35-z 7.69-Z
1.22.0 b09*D
8.52-1 8.561
2.86-I 2.67-l
a.azw 8.56*0
1.a5*0 1.79+0
5.%-l 5.67-l
l&8*1 lAWI
3.13+0 3.02+0
l.OWO 9.42-1
700 I8.17*27
1.35*0 l.I)*O
2.89-1 2.77-l
9.31-2 8.61-2
1.76*0 e.s1+0
l.omO 9.%-l
3.22-l 3.00-l
9.9*+0
2.09*0 2.01*0
6.70-f 6.2S-1
1.67*1 1.62+1
3.52*0 3.*0*0
1.12*0 1.06+0
FUWI
FY.lI(
SO
30.00 SO
FY.11
SO
9.65*0
40.00
FYWI!
FY.lM
so
FYHII
FYHM
20.00
50 l1.27+2)
ANGLE
FYHW
15.00
SD
ENERGY tP C-R)
FY.lM
SD
ENERGY IP C-MI
FY.lM
SO
50.00 FY.lll
SO
FYHM
FU .llI
6O.M FUNN
F&III
so l1.27*21
5.59-l 5.39-1
1.21-l 1.16-l
3.97-2 3.65-2
S.Za-1 8.36-1
2.02-l 1.9+1
6.59-2 6.09-Z
1. x6*0 1.32Io
3.01-l 2.89-1
9.79-2 3.08-2
1.&6*0 i.ao*o
@.16-l boo-1
1.35-l 1.26-l
100 #l.3@+21
1.63*0 1.61*0
3.66-t 3.50-l
1.18-l 1.09-l
z.Gz*o 2.73-O
6.11-l 5.87-1
1.97-1 l&3-1
4.17+0 4.0**0
9.11-l a.7e1
2.9b1 2.?5-1
5.63*0 s.sz*o
1*2s+o 1.21*0
1.08-1 3.12-l
150 (2.52*21
3.17*0 3.07rO
6.80-l 6-W-l
2.19-l 2.06-l
s.zs*o 5.13*0
l.lWO 1.10+0
3.67-l 3.@3-1
t.r1*0 7.5a.o
1.70*0 l&W0
s.*s-1 5.16-l
l.OC*l 1.03+1
2.36*0 2.2mo
7.6+1 7.11-l
200 13.08+2l
@.%CO h.78+0
1.05*0 1.01+0
3.39-l 3.16-L
a.21*0 7.97+0
1.76*0 1.70+0
5.69-1 5.33-l
1.21*1 1.17*1
2.68*0 2.55*0
G-52-1 G.EIl-1
1.6Wl l&o*1
3.67*0 3.5**0
1.18*0 1.11*0
250 #3.61*21
6.93rO C.RP*O
1.47*0 l&2*0
1.15*1 1.11*x
2.2wo trlO*O
7.99-1 7.50-l
1.6-l l.&Wl
3.71*0 3.53*0
1.19+0 1.12*0
2.30*1 2.2**1
5.19*0 * .s¶*O
l&6+0 1.17+0
300 t11.15*21
S-16*0 8.~5*0
1.95*0 1.fm*o
6.26-l 5.87-l
1.52*1 1.e7*1
3.28+0 3.17+0
1.05*0 9.92-1
2.23+1 2.17*1
Q.sl+o e.75*0
3.02*1 2.3~*1
6.82+0 i.LO*O
t.zo+a t.owo
350 [email protected]+2l
lrf6eL l.ltel
2.17+0 2.38*0
7.93-l 7.a5-1
1.92*3 1.a741
*.X6*0 e .oz*o
1.33+0 1.22*0
z.e*1 Z.?Wl
l .Ot*O
z.m*o 1.99*0
3ra1*1 3.70*1
S.M*O e.37*0
2.?9+0 2.6.*0
so0 l6.17+21
1.*2*1 1.38*1
3.owo 2.33+0
9.75-1 9.16-l
2.35*1 2.29+x
5.12*0 a.ss+o
l.CI*O 1.55*0
3.***1 3.35*1
7.66*0 7.e1*0
t.*C*O 2.33*0
*As*1 *.52*1
l.OC4 1.02*1
3.43*0 3.25*0
as0 15.67rtl
1.71*1 1.66+1
3.65+0 3.53*0
1.17*0 1.10+0
z.a2+1 2.75+1
S.LS*O 5.95*0
1.%7+0 l&6+0
a. 12*1 a-01*1
9.20~0 0.31*0
2.95+0 z.eo*o
1.27+1 1.23*1
1.13*0 s&l*0
500 t6.la+2l
2.01*1 l.SLel
4.31+0 a.l6*0
1.3a+o 1.30+0
3.32*1 3.23*1
7.26*0 7.02*0
2.33*0 2.20*0
*.a3*1 4.11*1
l.OWl 1.05*1
3.50*0 3.31*0
1.50+1 1.45*1
l .U*O
550 16.68+21
2.3@+1 2.27+1
5.01*0 @.BWO
1.60+0 1.51.0
3.wir1 3.75+1
B.W*O a.17*0
2.71*0 Z&6*0
&.26*1 1.22*1
l .07*0
1.7**1 1.53*1
S.67,0 s.31*0
600 17.18etl
2.6~rl 2.61+1
5.7510 5.56*0
1.e**o 1.73*0
b.l.1
9.69*0 9.3sro
3.11*0 2.91+0
2.00*1 l.SWl
c.s2*0 C.ls*O
650 17.68+21
3.0141 2.96+1
6.SWO 6.33+0
2.09*0 l.sl+o
a.93*1
1.10+1 l.OC+l
3.54*0 3.35+0
1.6**1 1.53*1
5.32*0 5 .o**o
2.27*1 2.21+1
7 AZ+0 7.owo
700 ta.i7+2i
s.e2*1 3.3341
7.37*0 7.13+0
2.36+0 2.23*0
l.ZWl 1.20+1
3.99*0 3.7mo
l.Gs*l 1.79+x
6.0010 5.69*0
2.5601 z.Qs*l
8.36*0 7.95*0
l .29*1 4.06*1
6*22W
s.as*o
I.CZ*O
See page 480 for Explanation of Tables 505
Atomic
Data and Nuclear Doto bbhr,
Vol. 15, No. 5, MT
1975
and MAYES
HUNGERFORD
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS ANGLE ENERGY IP C-MI
FNHN
FY.lH
SO
FYHH
15.00 Fu.111
SO
FYHN
2o.ocl
FY.lM
SO
FYIIN
FV.ltl
50 11.21+21
2.23-2 2.12-Z
5.25-3 @.92-3
1.80-3 1.59-3
1.*5-2 1.13-2
1.68-Z
1.59-Z
5.62-3 4.99-3
1.52-l 1.*6-l
3.37-2 3.20-Z
1.11-z 1.00-Z
2.53-l Z&3-1
5.57-2 5.30-Z
1.83-2 1.66-2
100 ~l.SYctl
6.52-2 6.22-2
1.58-Z l.lO-2
9.99-3 q.qo-3
2.21-l 2.12-1
@.a?-2 4.63-2
1.60-Z
q.ss-1 @.38-l
9.91-Z 9.46-Z
3.2k-2 2.96-2
7.62-l
1.6(1-l
1.45-2
7.35-l
1.51-1
5.36-Z 4.93-z
150 t2.52+2)
1.19-l 1.14-1
2.68-2 2.55-z
8.95-3 1.98-3
1).10-1 3.91-l
8.94-Z 8.53-Z
2.93-2 2.66-2
G.@9-1 8.18-l
1.83-l 1.15-l
5.95-2 S&7-2
1.qt*o 1.37ro
3.05-l 2.92-1
9.88-Z 9.13-r
200 13.05121
1.83-l
9.08-Z 3.81-2
1.35-2 1.21-Z
6.33-l 6.10-l
1.31-l 1.31-l
a.@?-2 4.09-z
1.31+0
2.81-l
1.16-1
1.26+0
2.69-l
9.12-2 8.12-Z
2.20+0 2.13+0
k.lO-1 q.52-1
1.52-l 1.41-l
1. a*+0
3.93-1
1.18+0
3.71-l
1.27-1 1.11-l
3.09+0 2.99+0
6.51-l 6.33-l
2.12-L 1.97-1
1.50-Z
z.q3+0 2.35*0
5.11-1 4.91-l
1.67-l 1 AS-1
q.o9*0 3.96+0
8.60-l 8.35-l
2.79-l 2.60-l
3.16-1 3.03-l
1.02-l 9.@6-2
3.omo 2.9a+o
6.51-l 6.29-l
2.10-1 1.96-1
5.1a+o 5.02+0
1.09+0 1.05+0
3.53-l 3.29-l
3.81-L 3.11-l
1.25-l 1.16-l
3.79+0 3.61+0
a.oz-1 1.72-l
2.55-l 2&O-1
6.30+0 6.18*0
1.3wo 1.30+0
4.33-l k.O5-1
250 t3.a+21
2.56-l
2.46-l
5.65-2 5.31-t
1.86-Z 1.68-2
6.81-1 8.55-l
1.91-l 1.82-l
6.21-Z 5.10-Z
300 11).14*2l
3.31-l 3.24-l
1.39-2 7.03-Z
2.12-z 2.20-Z
1.11*0
2.50-l 2.@0-1
8.11-2
1.12+0
350
@.25-l 1.09-l
9.29-Z 8.84-Z
3.0&Z 2.76-2
l.qG*o t.q3*0
5.21-l
l&.66+21 qoo 15.11+2)
5.02-l
1.13-l 1.08-l
3.10-Z 3.38-2
1.a2+0 1.15+0
450 #5.68+2l
6.25-l 6.02-l
1.35-l 1.29-1
q.qt-2 q .01-z
2.1a+o
1.6k-1
1.50-1
Z.ll+D
@.kS-1
1.39-l
k. SW0 k.qleo
9.62-l 9.26-l
3.09-1 2.11-l
7.66*0 1.*3*0
1.61+0 J.56+0
5.19-l 1.06-l
500
1.36-l 1.09-l
1.58-l 1.51-l
5.18-Z 4.1*-z
2.57+0 t.a9*0
S.q6-1
(6.19+21
5.25-l
1.76-l 1.63-1
5.37+0 5.21ro
1.13*0 1.09*0
3.64-l 3.40-l
s.oq*o 9.17*0
1.90*0 1.EI1+0
6.12-l 5.73-l
550 16.69*2J
0.51)-l 5.23-l
l.G@-1 1.15-l
5.99-2 S*I9-2
2.99*0 2.09+0
6.31-l 6.09-l
Z.Ok-1 l.G9-1
6.2S+O 6.0510
1.3i*o 1.26+0
*.22-1 3.95-l
1.05*1 1.02*1
2.21+0 2.14+0
7.10-l 6.66-l
600 t1.19+21
9.19-l 9.w-1
2.10-l 2.01-I
6.Gk-2 6.28-Z
3.q3*0 3.32+0
7.26-l 6.98-l
2.34-l 2.11-l
7.17*0 6.96+0
1.51*0 l&9*0
q.Gk-1 @.53-1
1.20+1 1.11*1
2.54*0 2.45*0
8.15-l 7.65-l
650 ll.69*2#
l.ll*O
2.38-l 2.28-l
1.1*-z 1.12-t
3.90+0 3.10+0
8.2F1 1.93-I
2.65-l Z.Q?-1
a.15*0 7.91ro
L?i+O 1.65+0
5.90-l 5.19-I
1.31+1
l.Ol*O
1.33*1
2.69+0 2.79*0
9.26-l 8.70-l
100 ca.ts*zJ
1.25*0 1.20*0
2.61-l 2.56-l
0.69-Z 8.00-Z
k.ko+o 1.26+0
9.28-l
2.98-t 2.70-l
9.29*0 0.91*0
1.93*0 1.96+0
6.19-l 5.10-l
1.5q*1 1.50*1
5.25*0 3.14*0
l.ok*o 9.00-l
30.00
4NRLE
50.00
kO.00
FY.111
so
SO
FYHR
FY.lR
SO
FWR
50 tl.27+27
6.20-l 5.01-l
1.13-l 1.00-l
3.70-Z 3.ko-2
G.Ok-1 6.39-l
I.%-I 2.01-l
C.lb2 5.61-Z
1.27*0 1.23*0
2.60-l 2.69-l
9.12-Z 6.U-2
l.?WO 1.66*0
3.67-l 3.72-l
X.26-l 1.17-l
100 t1.9q+21
1.57*0 lo52*0
3.39-l 3.25-l
1.09-l 1.01-l
2.62+0 2.53*0
5.66-l 5.kC1
1.83-l 1.70-l
3.66*0 3.76*0
6.66-l 6.16-l
2.73-l 2.oI-1
5.31*0 5.15*0
1.17*0 1.x2*0
3.16-l 3.66-l
150 12.52*21
2.swo 2.05*0
6.30-l 6.06-l
2.03-l 1.09-1
q.91+0 ..76+0
l-06+0
1.01*0
3.10-I 3.18-1
2.26+D 7.oI*o
1.97*0 l.5246
S.OS-1 k. 77-1
9.93*0 9.6WO
2.19W 2.11+0
7.01-l 6.64-l
200 l3.S6+2l
4.51+0
q.qz*o
9.79-l 9.39-l
3.14-l 2.93-l
7.62+0 7.39*0
1.63*0 1.57*0
6.27-l 6.93-l
1.12*1 LOW1
2.6WO 2.36*0
7.66-l 7.a-1
1.93*1 l&9+1
3.39*0 3*26*0
1.0~0 1.03+0
250 l3.61+2)
6.k2*0 6.22+0
1.36+0 1.31+0
k-39-1 &11-l
1.06+1 1.03+1
2.29+0 2.21+0
7.39-l 6.93-l
1.51+1 1.93*1
3.*3*0 3.32+0
1.10*0 l.OWO
2.15+1 2.091
l .77*0 &Cl*0
l&W0 l.kWO
300
G.kWO 6.23+0
l.GO10
5.19-l
Il.llrLl
1.11+0
S.k3-1
1.41+x 1.37+1
3.03+0 2.93*0
9.75-l 9.17-l
2.07*1 2.02*1
6.9WO e.39*0
l&6*0 1.37*0
2.02*1 2.7Wl
6.3¶+0 C.lO*O
2.03+0 1.93+0
350 16.66+2l
1.07*1 l.Ok*l
2.2wo 2.20*0
7.33-l 6.88-I
1.19*1
3.9~*0 3.72*0
l-23+0
1.73+1
l.tS+O
Z-62*1 2.51*1
6.76+0 s.57*0
1.65*0 1.76,0
3.66*1 3.96*1
6.00*0 7.7wo
2.86+0 2.66*0
400 l6.17*2)
1.32+1 1.28el
2.01*0 2.71*0
9.01-l 0.16-1
t.lS+l 2.13*1
q-73+0 q.57*0
1.51*0 1.13*0
3.21*1 3.12*1
7.06*0 6. GS*O
2.26*0 2.15*0
l .35*1 9.23*1
9.6-O S&2+0
3.17*0 3.00~0
uo lS.68*21
1.5ar1 l.Skel
3.37*0 3.26*0
l.OL+O 1.01*0
2.62+1 2.59+1
s.m*o 5.59+0
x&2*0 1.72+0
3.66*1 3. I** l
6.91*0 6.2110
2.7HO 2.59*0
1.16*1 1.11*1
3.61*0 3.61+0
500 16.19~2)
1.96*1 l.Glrl
3.9aro 3.05*0
1.27+0 1.20*0
3.09*1 3.00*1
6.71+0 6.eS+O
2.15.0 2.03+0
e.51+1
l.Ol+f 9.7210
3.23+0 3.06*0
1.39*1 1.36*1
6.50*0 6.27+0
550 16.69+21
2.17+1 2.11+1
+.63+0 k.k7+0
l.ks+o 1.39+0
3.50*1 3.*a*1
1.90*0
7.95+0
2.50+0 2.36*0
1.16*1 1.13*1
3.76*0 3.56*0
l.Cl+l l.SC+l
5.2wo 6.97*0
600 ~1.19*21
2.4811
5.31+0 5.14*0
1.70+0 1.60+0
k.lo*l 3.99*1
8.96+0 8.67*0
Z&7*0 2.12+0
I.%*1 1.29*1
6.32*0 k-09*0
1.65*1
2.*2+1
1.80*1
6.02*0 s.71*0
650 l7.69eZl
2.1*+1
6.OWO s.m+o
1.93*0 1.02+0
q.65+1 q.52*1
1.01+1 9.86+0
3.21*0 3.09+0
1.52+1 1.47*x
q.¶l*o k.69,0
2.1191 2.01*1
6.6WO 6.5OcO
700 18.19+2)
3.1711 3.09+1
6.81+0 6.59*0
2.1mo 2.05+0
IrlWl 1.11*1
3.68+0 3.w*o
1.71*x 1.66,1
s&6*0 5.25*0
2.37*1 2.30~1
7.72*0 7.33+0
of Tables
Data and Nuclear Data Tables, Vol. 15, No. 5, May 1975
506
SO
*.39+1
FUR!!
60.00 FY.lR
2.82+1
FYWM
8.93-l
ENERBY IP C-MI
See page 480 for Explanation
Atomic
10.00
5.00 so
1HROUSH KR
FM.111
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS 5.00
ANGLE ENERGY IP C-MI
SO
50 Il.za+zl
2.02-Z 1.92-Z
100 11.94r21
FY.lN
SO
15.00
4.77-3 4.47-3
1.64-3 1.40-3
6.71-2 6.42-2
1.52-2 1.43-2
5.66-P 5.59-2
1.34-2 l-26-2
4.52-3 3.97-3
1.36-1 1.90-l
150 lz.s2+2l
1.07-l 1.02-l
2.42-2 2.29-2
8.08-3 7.19-3
200 13.06+21
1.64-l 1.56-l
3.67-2 3.48-2
250 13.62+2)
2.29-1 2.20-l
300 Iq.14czl
20.00
SO
FYHtl
FY.lI(
so
FYHll
FM .lI
5.10-3 4.51-3
1.36-l 1.31-l
3.04-2 2.89-2
1.01-2 9.05-3
2.27-l 2.18-l
5.02-2 4.78-2
1.65-2 1.49-2
4.39-2 4.1?-2
1.45-2 X.30-2
4.08-l 3.93-l
8.91-2 8.49-Z
2.91-2 2.66-2
6.83-l 6.58-l
1.47-l 1.41-f
4.02-2 4.42-2
3.67-l 3.53-l
8.03-2 7.65-2
2.63-2 2.39-2
7.60-l 7.32-l
1.64-l 1.56-l
5.34-2 4.90-2
1.27+0 1.23*0
2.73-l 2.62-l
8.06-2 8.18-2
1.21-2 1.09-2
5.67-l 5.46-l
1.23-l 1.17-l
4.01-2 3.67-2
1.17+0
1.13*0
2.52-l 2.41-l
0.18-2 7.54-2
1.97+0 1.90+0
4.21-l 4.04-l
1.36-l 1.26-1
5.08-2 4.82-2
1.67-2 1.51-t
7.33-l 7.65-l
1.72-l 1.63-l
5.67-2 5.11-t
1.6400 1.59*0
3.52-l 3.37-x
1.13-l I. OS-1
2.76+0 2.68+0
5.59-1 5.66-l
1.90-L 1.76-1
3.01-L 2.89-l
6.63-2 6.31-2
2.18-2 l.i37-2
1.04+0 1.00*0
2.24-l 2.1s-1
7.30-2 6.71-2
2.17+0 2.10*0
4.63-l 4.4.-1
1.49-l 1.38-1
3.65+0 3.54+0
7.76-l 7.46-l
2.50-l 2.32-l
350 14.66+21
3.60-l 3.66-l
8.32-2 7.93-2
2.73-2 2.48-2
l-32*0 1.27*0
2.83-l 2.71-l
9.18-2 8.47-2
2.75+0 2.66*0
5.85-f 5.62-l
1 .ee-1 1.75-1
4.63*0 4.49*0
9.82-1 9.45-l
3.15-l 2.94-l
*DO 15.17+2)
4.66-l 4.68-l
1.01-l 9.69-2
3.33-2 3.03-Z
1.62*0 1.57+0
3.46-l 3.32-l
1.12-l 1.03-l
3.3a+o 3.27+0
7.17-l 6.90-l
2.31-l 2.15-1
s-70+0 s.s2+0
1.2oe 1.16+0
3.a7-1 3.61-l
450 l5.68*21
5.59-l 5.38-l
1.21-l 1.15-l
3.96-2 3.62-2
1.95+0 1.sa*o
4.15-l 3.9&1
1.34-1 1.24-l
4.06+0 3.94+0
8.W-1 8.27-l
2.76-l 2.57-l
6.84*0 6.64+0
1.44+0 1.39*0
4.64-l 4.34-l
500 ,6.19+2)
6.58-l 6.33-l
1.42-L 1.36-l
4.64-2 4.25-P
2.30+0 2.22+0
4.08-l 4.69-l
1.57-l 1.46-l
4.79+0 4.55+0
1.01*0 9.75-l
3.2S-1 3.03-l
a.o7*0 7.03*0
1.70+0 1.64+0
5.46-1 5.12-l
550 16.69*2)
?.sf-1 7.36-l
1.64-l 1.67-l
s-37-2 4.92-2
2.67*0 2.50*0
5.66-l 5.44-l
3.*2-1 1.63-l
5.57+0 5.40*0
1.17*0 1.13*0
3.76-l 3.u-1
9.39*0 9.11*0
1.99*0 1.91*0
6.35-l 5.36-l
600 17.20*21
8.75-l 8.43-l
1.58-l 1.50-1
6.13-2 5.62-2
3.06+0 2.97*0
6.49-l 6.24-l
2.09-l 1.94-l
6.40+0 5.21*0
1.35*0 i.3a+o
4.33-l 4.04-i
1.07*1 1.04*1
2.27*0 2.19*0
7.28-l 6.13-l
650 l7.70*21
9.93-1 9.59-l
2.13-1 2.04-l
6.94-2 5.37-2
3.4a+o 3.37*0
7.37-l 7.oS-1
2.37-l 2.20-1
7.2WO 7.06*0
1.53*0 1.47*0
4.91-l l .w-1
1.22*1 l.lS*l
2.smo 2.49+0
8.27-t 7.76-l
700 :8.19+21
1.11+0 1.07*0
2.33-l 2.29-l
7.78-2 7.16-2
3.92*0 3.1)0*0
8.29-L 7.37-1
2.66-l 2.48-l
a.2oa 7.9sw
1.7249 i.CSW
5.53-l 5.18-l
l-38*1 1.34+1
Z.SO+O 2.aoco
3.31-l 8.74-l
_---_--_
-----------
so
FYHH
FY.lH
_-__---_
30.00
ANOLE ENEREV IP C-RI
FYHH
THROUBH ZR
10.00
SD
FYHM
50.00 FY.lI
so
FV.lM
so
FYNW
60.00 FM.111
SO
FWIM
CU.11
4.67-l 4.50-l
1.02-t 9.76-2
3.34-2 3.05-2
7.77-l 7.50-l
1.65-L 3.62-l
5.53-2 5.09-2
1.14+0 1.10+0
2.92-1 2.41-l
1.20-2 7.Sh2
l.S7+0
lLzm2) 100 tl.S4*2l
1.4lCO 1.36*0
3.04-I 2.91-l
9.05-2 9.11-2
2.35*0 2.27+0
5.05-l 4.88-l
1.64-L 1.52-l
3.4mo 3.37*0
7.57-1 7.21-l
2.44-l 2.26-l
15a l2.52+2)
2.53*0 2.55+0
5.64-l 5.42-l
1.a2-1 1.69-l
*.4e*o 4.26?0
!J.w-1 9.11-l
3.05-l 2.84-l
6.51*0 6.32*0
1.41*0 1.3mo
4&S-1 4.26-l
200 l3.08+2#
4.08*0 3.96*0
8.72-l 8.33-l
2.81-l 2.61-l
s.e2*e 5.52+0
1.4c+o 1.w+o
4.71-l q&l-2
1.00*1 3.80+0
2.1a*o 2.11*0
7.04-l 6.61-l
1.30*1 1.34+1
3.04*0 2.93*0
s.ee-1
250 13.62*21
s-74*0 S.SC*O
1.22+0 1.17*0
3.93-l 3.67-l
s.ss*o 9.30+0
z.os*o 1.se*o
6.60-l 6.19-l
1.41*1 1.37*1
3.07*0 2.97*0
S.W-1 9.29-I
1.93*1 l.at*l
4.2Seo 4.12*0
1.37W
300 l4.14+21
7.!68+0 7.36+0
l.Cl*O 1.55+0
5.1a-1 4.05-1
1.26~1 1.22+1
2*71*0 2.62*0
8.71-l 1.18-I
1.ew1 l&l*1
4.as*o 3.92*0
1.3a*e 1.23+0
2.54*1 2.47*1
S.C~*O S.QS+O
l-U*0
350 t4.66+2)
9.61*0 9.32*0
2.04+0 1.97*0
6.55-l 6.14-l
1.60+1 1.55*1
3.43*0 3.32*0
1.10*0 1.03*0
2.3191 2.29*1
s.14*0 4.97*0
1.65+0
1.!s*o
3.20+1 3.1201
7.15+0 6.¶2+0
2.3o+a 2.17-O
boo 15.X7+2)
1.1a+1 1.14+1
2.51*0 2.4210
5.06-1 7.55-l
1.9fi*1 1.30*1
4.22*0 4.01+0
1. I%*0 1.27*0
z.m*1 2.8lwl
6.3210 s.12*0
2.03*0 1.92*0
3.92*1 3.a1*1
8.79*0 e.s1*0
2.03*0 Z.CWO
450 (5.6812)
l.41*1 l-37*1
3.01*0 2.91+0
9.66-l 9.08-l
2.35*1 2.21+1
s.07*0 4.9x*0
1.52*0 1.53*0
3.45*1 3.3601
T.W*O 7.36*0
2.44+0 2.31*0
4.68*x 4.55*1
1.05*1 1.02*1
3.40010 3.22*0
500 f6.19+21
1.67+1 l&2+1
3.55+0 3.4390
1.13.0 1.07*0
2.77*1 2.6Wl
s.ss*o s-79+0
1.92+0 l&l+0
l .os*1 3.95*1
l . %*o 8.6WO
2.SSCO 2.72+0
1.24+1 1.20*1
4.02+0 3.a1*0
550 i6.69+21
1.94*1 1.5841
4.13+0 3.99+0
l-32+0 1.24*0
3.21*1 3.12+3
6.9600 6.74+0
2.23*0 2.11*0
4.70*1 4.57*1
l.ewl 1.01*1
3.35+0 3.17*0
1.44*1 r.q0*1
4.cmo 1.43*0
600 t7.20*21
2.2211 2.16+1
4.74*0 4.59+0
1.52*0 1.43+0
3.68*1 3.SWl
e.oo*o 7.74+0
2.55+0 t.q2+0
1.13.1 l.lWl
3.SVO 3.690
l-66*1 1.61*1
s-37*0 s-09*0
650 t7.70+21
2.52*1 2.4Srl
5.39*0 5.21+0
1.72+0 1.62~0
4.17+1 4.06rl
3.09~0 a.eo.0
2.91+0 2.75*0
1.36*1 1.31*1
4.3wo 4.1s*o
1.00+1 1.03*1
C.ll+O s.so*o
700 tB.lS+tl
2.84tl 2.76+1
6.07*0 5.8WO
1.91+0 1.83,0
1).59+1 9.56*1
1.02*1 9.92+0
3.28*0 3.11+0
1.53+1 1.4m1
*.SQ*0 *.6e+o
2.12*1 2.06*1
6.89*0 6.SWO
See page 480 for Explanation
of Tables
507
3.46-l 3.34-1
1.33-l
4.77*0 4.53*0
1.0410
3.35-l 3.17-l
6.93+0
1.w*o
8.Wyl
1.m*o
1.52+0
1.01*0
l-OS-1
6.32-l 3.93-1 9.21-l 1.29*0 1.71*0
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS THROUGH A6 ANGLE ENERQV 4P c-n, so
10.00
5.00
SD
FUHll
1.80-Z
FY.111 1.50-3
SD
w.o3-3
1.21-1 1.16-l
2.71-Z 2.57-Z
9.0@-3 6.08-3
2.01-l 1.93-1
4.46-Z 4.21-Z
1.47-Z 1.33-Z
7.88-Z 7.50-Z
2.55-Z 2.35-2
6.01-l 5.79-l
1.30-l 1.24-l
1.26-Z 3.90-t
FY.lN
1.29-Z
3.59-l
1.15-2
3.w5-1
2.15-Z 2.03-Z
7.21-3 6.38-3
3.23-l 3.10-l
7.10-Z 6.75-2
2.33-2 2.11-2
6.67-l 6.83-l
l.W-1 1.36-l
*.72-2 @.32-2
1.11+0 1.07+0
2.40-l 2.30-l
7.62-Z 7.20-2
3.25-2 3.06-2
1.03-Z 9.67-3
4.97-l e.79-1
1.08-l
3.55-Z 3.23-2
1.03*0
2.21-L 2.12-l
7.21-Z 6.63-2
1.73*0
9.94-l
1.67*0
3.70-l 3.55-l
1.19-L 1.10-l
1.00-l 9.25-Z
2.*2*0 2.34*0
5.17-l *.96-l
1.67-l 1.5+1
3.20+0
6.60-l 6.5+1
2.19-l 2.0@-1
1.19-2 1.12-Z
150 12.52+21
9.Y9-7.
9.07-z
1.03-l
a.sa-3
FVWW
3.59-Z 3.69-2
5.19-t 4.95-z
2.02-l
FY.lN
1.67-l
ion t1.9**21
250
FYIW
1.75-1
1.26-3
1.39-1
za.ac
SD
11.[16-3 3.54-3
@.31-3 @.03-3
i.es-i
15.00 FM.lH
1.36-Z l.PS-2
1.71-Z
too
FYHII
5.96-2 5.69-Z
11.2WZl
13.08+2)
so
1.93-l
@.@9-2 a.26-2
1.e5-2 1.33-2
6.96-l 6.70-l
1.90-l
t3.62*2)
1.@3-1
e.91-2 ,.50-z
1.4e*o 1.39+0
3.09-L 2.96-l
300 lt,.15*2l
2.65-1 2.5&l
5.65-Z 5.56-2
1.93-2
9.17-l 8.94-l
1.97-1 1.69-1
6.13-2 5.90-t
1.90-0 l.Sk*O
l .06-1
1.7@-2
3.90-l
1.31-1 1.21-l
3.10*0
350 lc).66*2l
3.34-i 3.21-l
7.3b2 6.99-2
z.e1-2 2.16-Z
1.15*0 1.11+0
2.4&1 2.36-l
5.05-Z 7.*@-2
z.e1+0 2.33+0
5.13-l 4.92-l
1.65-l 1.53-l
3.92*0
6.60-l 6.27-l
2.77-l 2.56-l
baa ts.lB*tl
4.09-1 3.93-l
0.95-2 8.53-Z
2.9b2 2.67-2
1.42*0 1.37*0
3.M-1 2.91-1
9.06-Z 9.10-z
2.96*0 2.66+0
6.29-l 6.01-l
2.02-1 1.80-l
4.98-O 4.03*0
1.osco 1.01*0
3.39-l 3.16-1
es0 (5.69*2)
e-90-1 6.71-l
1.06-l
1.01-l
3.50-Z 3.18-t
1.70+0 1.6@+0
3.64-l 3.@9-1
1.11-l 1.09-l
3.5510 3.eero
7.54-1 7.21-l
2.42-1 2.25-l
5.99*0 5.10*0
1.26+0 1.21*0
4.064 3.79-l
500 16.20*2t
5.76-l 5.55-l
1.25-l 1.19-1
Q.lo-2 3.7a-2
2.01*0 1.9aa
8.26-l
4.11-l
1.36-1 1.25-l
a.19*0 6.06*0
6.87-1 0.54-l
2.855-L 2.66-l
7.06*0 6.05*0
1.*9*0 1.e3*0
4.79-l @&7-l
550 i6.70+21
6.69-l 6.84-l
l.W-1 1.38-l
*.73-2 l .sz-2
2.33*0 2.26*0
4.97-l Q.77-1
1.60-l l&S-l
*.ll7*0 (1.72-o
1.03*0 9.91-t
3.31’1 3.08-l
1.21*0 7.96*0
1.73*0 1.67*0
5.56-l 5.20-l
600 (7.21*2#
7.67-l f.W-1
1.65-l
5.*0-2 +.9@-2
2.60*0 2.59*0
5.69-l 5.46-l
1.03-l 1.70-l
s.fio*o s.*t*o
1.18-O 1.13*0
3.79-l
s&3*9
1.38-l
s.st-1
9.15+0
1.sa*o 1.91*0
6.37-l 5.97-l
660
8.76-l 9.39-I
1.57-l 1.79-1
6.11-Z 5.60-Z
3.owo 2.95+0
6.46-l 6.20-I
2.01-l 1.93-l
6.36+0 6.17*0
1.3Q*0 1.29+0
l .30-1 1.02-I
1.07+1 l.OWl
2.25*0 2.17*0
7.23-i 6.76-l
9.79-l
Z.lS-1 2.01-l
6.65-Z 6.29-7
3.83+0
7.26-l 6.96-l
2.3@-1 2.17-l
7.17*0 6.95+0
1.51*0 1.u*o
l .m-1 e.s2-1
1.20*1 1.17*1
2.seo z.w*o
a.t*-1 7.61-l
l7.71*2) 700
t6.21*2B
9.Q3-1
3.32*0
.__________-------------------AllelE
30.00
l o.00
ENEREY IP e-lo
SO
FlM(
FY.lM
SO
50 11.21*2)
l .13-1 3.97-l
¶.06-2 L.bS-2
2.97-Z 2.71-Z
6.17-l 6.62-l
1.90-l l.u-1
100 11.9W2~
l.ta*O l.19*0
2.67-l 2.56-l
5.69-Z 6.02-2
2.07+0 z.oo*o
150 (2.52.2,
2.31*0 2.23*0
a-96-1 @.76-l
1.60-l l.W-1
200 I3.Os*PI
3.55*0 3.17*0
7.65-l 7.36-l
Z&6-1
250
S&3+0
FYWM
@.05-a
.-----_--------------60.00
50.00
FU.lM
SO
FY)(II
CU.111
SO
FYMI!
FY.1)1
4.90-Z
l.OlW
7.26-2 6.70-Z
3.01-1
9.61-l
2.23-l 2.13-l
1.39*0
@.50-z
1.34*0
2.96-1
1.00-l 9.26-2
1.17-l 6.29-l
1&4-l 1.36-l
3.07*0 2.97*0
6.66-l 6.40-l
2.15-l z.oS-1
l .tt*o l .oR+o
9.23-l 8.88-l
2.9~1 2.784
3.56*0 3.7**0
a.304 7.99-i
2.66-l f.Q9-1
5.73*0 S.SC*O
1.24*0 l.l%+%
Q .00-l 3.73-l
7.m*o 7.6**0
l-72*0 l.CS*O
6.55-1 5.20-l
5.¶9*@ 5.111*0
1.25*0 1.23*0
a.13-1 3.66-l
8.19*0 8.62-O
1.11*1
2.66*0 2.57+0
R&1-1
1.05-0
6.16-I 5.79-l
1.21*1
2.29-l
3.45-l
(IAl*
5.76-l s.ez-1
1.24*1 1.20*1
2.69*0 2.60*0
6.66-l
3.7+*0 3.61*0
1.2040
1.91-o
0.05-l
$3.62*2Z
4.87*0
1.07*0 1.03*0
3.21-l
S.lS*O
L80*0 1.7t*o
6.134
1.70*1 l.CS*l
300 I~.lS*Z)
6.cI*O 6.W+O
l.Zl+O l-36*0
l .51-1 Q.tl-1
1.11-l 1.07*1
2.31+0 2.29*0
7.63-t 7.16-1
1.6@+1 1. SW1
3.55*0 3.43*0
l.ZWO 1.07*0
2.2**1 2.1a*1
4.91*0 l .77*0
1.59*0 l.QS40
350 l1.66*2l
a.u*0 S.lt*O
1.7mo 1.72+0
5.71-l 5.37-l
l.Qo*l
3.00*0 2.90*0
9.66-l 9.07-i
2.07*1 2.01*1
4.90+0 Q.ss*o
l.@WO 1.36*0
2.63*1 2.75*1
C.ZS*O 6.05*0
2.01*0
1.36*1
a00 15.16*21
1.03*1
l.OO+l
2.19+0 2.11*0
7.01-l 6.60-l
1.72+1 1.67+1
3.69*0 3.57*0
l.lWO 1.12*0
2.54*1 2.47*1
5.53*0 5.35-0
1.77*0 1.67+0
3.W*l 3.37*1
7.6%*0 7.w*o
Z&7*0 2.36*0
hS0 l5.69*2)
l.Zl*l 1.20+1
2.63+0 z.se*o
S.@5-1 7.93-1
2.06+X 2.01*1
l&2*0
3.OWl 2.96*1
6.6WO C.-J*0
2.13+0 2.01*0
Q.lI*l 4.03*1
s.tQ*O 9.95*0
2.97-o 2.u*o
500 ‘6.2012,
1.16+1 1.W2.1
3.11*0 3.00*0
9.96-1
2.43*1 2.36+1
5.23*0 S.Ob*O
I.6640
t.sa*o
3.SWl h-6*1
7.m*o 7.59*0
t.sz*o z*sS*o
Q.66*1 l .73*1
1.09*1
9.36-l
l.O!iCl
3.51*0 3.32*S
550 16.70*2I
1.70*1 l.65*1
3.61*0 3.49*0
1.15*0 l.OB*O
Z.SZ*l 2.7Wl
6.09+0 5.59*0
1.95*0 l.l@*O
,.15*1 6.03,1
9.12*0 6.63+a
2.93*0 2.77*0
l.tC*l 1.22*1
u.01*0 3a7*0
600
1.95*1 l.W+1
a.lS*O 4.01-O
1.32*0 1.25*0
3.24*1 3.15+1
6.99*0 6.76*0
2.21*0 2.11*0
4.7Wl Q.St*l
l.OWl 1.01*1
3.36*0 3.15*0
1.15*1 1.*0*1
Q.69*0 *A@*0
17.71*21
2.21*1 2.15+1
4.71*0 @.SS,O
1.51.0 1.e2*0
3.67*1 3.57*1
7.9wo 7.69+0
2.5WO 2.10*0
l.lS*l
3.83*0 3.62*0
l.CS*l 1.60*1
5.3@*0 S.OC*O
700 lB.Zl*t~
2.19*1 z.e2*1
5.31+0 5.1390
1.70*0
4.13+1
4.01*1
1.95+0 6.67+0
2.01*0 2.71*0
1.3Wl 1.29+1
@.Jl*O
1.60*0
l .O(I*O
1.06*1 1.so*1
C.Ol*O 5.70*0
I7.21*21 650
See page 480 for Explanation
Atomic Oato od Nuclwr Data Tdbr,Vol.
1.3e*o
of Tables
15,No. 5,May
1975
508
1.19-1
1.13*0
1.w*o
HUNGERFORD
ar,,~ MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS 5.00
ANGLE ENERGY (P c-a,
SD
THROUGU CS
10.00
FYHM
FY .lM
SD
FYHM
15.00 FY.lY
SO
FYHM
20.00 FY.111
SD
FYWM
FY.llI
so ll.zB*zl
1.10-Z 1.61-2
4.12-3 3.63-3
1.9&-3 1.20-3
5.56-2 5.32-2
1.26-Z 1.21-Z
4.36-3 3.80-3
1.13-l 1.08-I
2.55-2 2.@1-2
6.53-3 7.59-3
1.67-l 1.80-l
@.18-Z 3.97-2
1.38-Z l.ZY-2
100 tl.SQ+Z)
Y.6S-2 Y-62-2
1.12-z 1.05-Z
3.6*-3 3.33-3
1.62-l 1.55-1
3.6,-2 3.15-Z
1.21-2 1.06-Z
3.33-l 3.20-l
7.34-z 6.96-2
2.*1-z 2.19-2
5.56-l 5.36-l
1.21-l 1.15-1
3.97-2 3.62-2
150 12.53+21
6.63-2 6.43-Z
2.01-2 1.90-2
6.79-3 5.91-3
2.99-1 2.67-l
6.61-2 6.28-2
2.16-Z 1.97-2
6.17-l 5.91-l
1.34-l 1.26-l
9.33-z 4.01-Z
1.03*0 9.96-l
2.23-l 2.13-1
7.26-2 6.67-2
200 13.06+21
1.34-l 1.28-l
3.01-Z 2.67-Z
1.01-Z 9.02-3
c1.60-1 Y..Z-1
1.00-l 9.59-2
3.30-2 3.00-Z
9.51-l 9.17-1
2.05-l 1.96-1
6.69-2 6.14-t
2.5SW 1.5**0
3.42-l 3.26-l
1.11-l 1.02-l
250 13.6212)
1.67-l 1.73-1
9.16-2 3.96-2
1.39-2 1.26-Z
6.+3-l 6.19-l
1.39-1 1.33-1
4.57-2 4.17-Z
1.33+0 1.28~0
2.86-l 2.71-l
3.30-2 6.56-Z
2.23+0 Z-16*0
4.78-l b-56-1
l.S&-1 1.43-l
300 11.15+21
2.35-l 2.35-l
5.e5-2 5.17-Z
1.60-Z 1.62-Z
6.a6-1 6.15-l
1.83-1 1.78-l
5.97-2 5.@6-2
1.75+0 1.69*0
3.75-l 3.60-l
1.21-l 1.12-l
2.95*0 2.65+0
6.26-l 6.03-l
2.03-l 1.66-1
350 :11.67+21
3.09-1 2.96-1
6.63-2 6.19-2
2.25-2 2. OJ- 2
1.06+0 1.03+0
2.30-l z.zD-1
7.50-Z 6.86-2
2.22+0 2.19.0
4.7a-1 @.54-l
1.53-l 1.*1-1
3.73+0 3.61+0
7.9e-1 7.63-l
2.56-l 2.37-l
l OO 15.16+21
3.70-l 3.63-l
6.32-2 1.31-z
2.74-t 2.17-Z
1.31+0 1.26+0
2.61-l 2.63-l
9.15-2 8.12-2
2.72+0 2.63+0
s.ao-1 5.57-l
1.67-l 1.73-1
*.59+0 *.a*+0
9.73-l 9.36-1
3.13-l 2.91-l
a50 15.70*2)
,.52-l 9.35-l
9.31-2 S.W-2
3.25-2 2.95-2
1.57+0 1.51+0
3.37-l 3.22-l
1.09-l LOO-1
3.27*0 3.16*0
6.95-1 6.68-L
2.2a-1 2.06-l
5.51+0 s.3*+0
1.16+0 1.12+0
3.75-l 3.50-I
500 16.2012)
5.32-l 5.12-l
1.16-l 1.10-l
3.61-2 3.16-Z
i.as+o 1.79+0
3.96-1 3.79-l
1.28-l 1. m-1
3.66+0 3.73+0
8.18-l 7.117-L
2.63-l 2.*5-l
6.50*0 6.30+0
1.37+0 1.32~0
1.a1-1 *.12-1
550 (6.71+21
6.17-1 S.W-1
1,3+1 1.26-1
4.39-Z a-00-2
2.X5+0 2.06+0
e.59-1 @.40-l
1.48-l 1.37-1
*.esro 4.3wo
9.49-1 3.13-1
3.05-I 2.64-l
7.55+0 7.32+0
1*53*0 1.53*0
5.12-l 4.78-l
600 I7.21+2~
7.07-l 6.01-I
1.53-l 1.46-1
5.01-Z *.56-z
2.17+0 2.36+0
5.25-l 5.02-l
1.63-1 1.57-1
5.15+0 ~.ss+o
l.OB*o 1.04.0
3.50-l 3.26-l
B.67+0 a.*1*0
1.03+0 1.76+0
5.67-l 5.*9-1
650 17.72+21
8.02-l 7.72-l
1.73-f 1.65-1
5.67-Z 5.16-2
2 .I)o*o 2.71+0
5.96-1 5.72-l
1.92-1 1.7(1-1
5.65IO 5.67+0
1.2340 1.1a*o
3.97-1 3.70-l
9.86+0 9.56+0
2.07*0 2.00*0
6.66-l 6.24-l
700 18.22+21
9.02-l 6.69-I
l.Sb1 1.86-l
6.35-2 5.52-z
3.15*0 3.05*0
6.70-l 6.#3-1
2.16-1 2.w-1
6.59+0 6.39*0
1.39*0 1.33*0
1&6-l Q.lC-1
1.11+1 1.07+1
2.34+0 2.25*0
7.50-l 7.02-l
--______
,--------
FY.Ill
so
ANELE CNERBV tP c-n1
SO
50 11.26+21
3.6r)-1 3.63-l
100 ~l.SW21
50.00
eo.00 SO
6.47-t 8.07-2
2.70-Z 2.53-2
6.3S-1 6.15-I
l.W-1 1.31-l
*.50-2 *.20-z
9.*6-1 9.12-1
2.07-L 1.96-1
6.76-2 6.23-2
1.29+0 1.25*0
2.86-l 2.7+1
9.35-2 5.62-Z
1.1a*o 1.10+0
2.68-l 2.37-l
8.06-Z 7.W-2
1.91+0 1.15+0
*.1*-l 3.97-1
1.38-1 1.2+1
2. GWO 2.75+0
6.17-l 5.92-1
1.99-1 1.65-l
3.91+0 3.79*0
6.56-1 6.22-l
2.76-l 2.57-I
1% t2.53+2~
2.13+0 2.06rO
e.59-1 4.40-l
l.w-1 1.37-l
3.57*0 3.e5*0
7.68-1 7.31-l
2.Q1-1 2.30-P
5.30+0 5.1ero
t.1**0 1.16*0
3.6S-1 3.w-1
7.30*0 7.oa*o
l.SWO 1.5340
5.12-l *.7S-1
200 t3.06r21
3.30+0 3.20*0
7.07-1 6.79-1
2.26-l 2.12-1
5.53+0 5.36+0
l.lEaO l.lWO
3.81-1 3.56-l
a.21*0 7.36+0
1.77+0 1.70+0
5.70-L 5.33-l
1.12*1 1.09*1
2.45+0 2.37+0
7.92-1 7.42-l
250 l3.62+2)
W.6*+0 4.*9*0
S.GS-1 9.51-l
3.16-l 2.96-I
7.76+0 7.52+0
L-66*0 1.59*0
5.3w1 9.99-1
1.15+1 1.11*1
2. u*o 2.39+0
T.Sa-1 7&S-1
1.50*1 1.53+1
3.4e*o 3.32+0
1.11+0 LOW0
300 l4.15+21
6.12+0 5.33+0
1.30*0 1.25*0
4.19-l 3.91-l
1.02+1 s.swo
2.lWO 2.11*0
7.03-1 6.59-1
1.51*1 1.e7*1
3.27+0 3.16+0
1.05*u 9.89-1
Z.OWl 2.02~1
*.55*0 Q.3SW
l&6*0 1.37*0
350 1*.67+21
7.76~0 7.52+0
1.6@+0 1.5mo
5.23-l l .95-1
1.29+1 1.2511
2.77*0 2.67-O
O.%-1 6.35-l
1.51*1 l&6*1
*.lQ*o *.00*0
1.33*0 1.25+0
2.62+1 2.55+X
5.76*0 5.57~0
1.85*0 I-IWO
600 15.X6*21
9.53ro 9.2WO
2.02*0 1.95+0
6.@9-1 6.06-l
1.59*1 1.5Wl
3.eo*o 3.26*0
1. oswt 1.02*0
2.35+1 2.2a*1
5.03*0 *.92*0
1.63*0 1.5wo
3.22*1 3.13*1
7.owo 6.65*0
2.28ea 2.15+0
e50 t5.70+21
l.llll l.llrl
2.*2*0 2.3WO
7.79-l 7.30-l
1*91*1 1.05*1
&.08+0 3.9HO
1.31+0 1.23*0
z.a2+1 2.7@*1
6.12+0 5.92+0
l.%,O 1.05*0
3.8W1 3.71+1
a.5o*n 8.23*0
2.73# 2.50*0
so0 t6.20+21
1.35+1 1.31rl
2.66*0 2.76+0
9.18-l 8.61-l
2.25*1 2.10+1
4.(Iz+o 5.6500
1.5a*o l&5+0
3.31*1 3.22+1
7.22*0 6.96+0
2.31*0 2.lWO
l .s2+1 e.e0*1
1.00~1 9.71*0
3.23+0 3.05*0
550 Ib.71*2I
1.56+1 1.5211
3.32+0 3.21+0
1.05+0 1.00*0
Z-61+1 2.53+1
5.60+0 5.*1+0
1.79*0 l.bS*O
3.8Wl 3.7-a
6.39+0 6.12*0
2.69*0 2.5WO
1.16+1 1.12+1
3.75+0 3.55*0
600 17.21+2)
1.79rl 1.74+1
3.01+0 3.61*0
1.22*0 l.lWO
2.99*1 2.91*1
6.43+0 6.22+0
2.06*0 l.SWO
4.*0+1 b.tb*l
9.63+0 9.32*0
3.09.0 2.92*0
1.33*1 1.29+1
*.31*0 4.owo
650 (7.72121
2.Okel l.%+l
l .33*0 *.19+0
1.3a*o t.30+0
3.3941 3.30*1
7.31+0 7.07+0
2.34*0 2.21*0
l .9sr1 e.05+1
1.03*1 I.0641
3.51*0 3.32*0
1.12+1 1.4791
a.%+0 4.64*0
700 $8.22121
2.10+1 Z-23+1
b.BB+O b-72+0
l.S6+0 3.e7+0
3.a1*1 3.71*x
6.23+0 7.97+0
2. LI*O 2.49+0
1.23*1 1.19*1
3.95*0 3.75*0
1.71*1 l-66+1
5.52*0 5.23+0
FYHII
FL 1I
59
FUN,,
60.00
FU.ltl
See page 480 for Explanation
FYYN
--------
_--_-___
30 .oo
FUHM
F&II4
of Tables
509
Atomic Ddo and Nucle.ar Data Tables, Vol. 15, No. 5, May 1973
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm2) vs. Angular Spread (in mrad) PIONS
5.00
ANGLE CNERQV IP c-)0
SO
50 l1.2W2)
1.46-2 1.38-2
3.63-3 3.37-3
1.30-3 1.01-3
4.73-2 Q.50-2
100 ll.SI*Zl
4.09-2 3.89-2
3.10-3 9.07-3
3.35-3 2.65-3
150 l2.53+21
7.90-2 7.05-2
1.71-2 1.61-2
200 13.08+21
1.12-l 1.07-l
250 13.62+2)
20.00
3. u-3 3.21-3
9.51-2 9.10-2
2.18-2 2.05-2
7.36-3 6.*7-3
1.51-l
1.50-l
3.55-2 3.36-2
1:u-2 1.05-Z
1.36-l 1.30-l
3.08-2
1.03-Z 9.15-3
2.17-1 2.66-l
6.17-P 5.86-2
2.04-2 1.83-Z
4.62-l *.q3-1
1.01-l
2.91-z
9.68-2
3.34-t 3.03-Z
5.83-3 5.06-3
2.b8-1 2.38-l
5.55-2 5.26-2
,.a*-2 1.65-2
5. IO-1 *.90-I
1.12-l
3.66-Z 3.3+2
8.53-l 8.21-l
1.85-l 1.71-1
6.07-2 5.5e-2
2.51-2 2.*2-2
8.66-3 7.61-3
3.81-l 3.65-l
8.92-2 8.00-2
2.18-2 2.50-2
7.85-l 7.55-l
1.10-1 1.63-l
5.59-2 5.10-2
1.31*0 1.26+0
2.03-l 2.11-l
9.21-Z 8.66-2
1.55-l l-.48-1
3.52-2 3.33-2
1.18-2 l.D@-2
5.30-L 5.10-l
1.16-l 1.10-I
3.63-2 3.5-l-2
1.09+0 1.05*0
2.37-l 2.26-l
7.7@-2 7.03-2
1.83a 1.17+0
3.95-l 3.18-1
1.28-l l.lP1
300 14.15+21
2.03-l 1.95-l
@.57-2 4.33-2
1.52-2 1.36-2
6.97-1
1.52-l 1.45-l
1.98-2 4.53-2
I.*@+0
3.11-1
1.39+0
2.97-1
1.01-l 9.29-2
2.42*0 2.33+0
5.10-l
6.10-l
l .97-1
1.68-l 1.55-I
350 811.67.21
2.96-I 2&5-l
5.11-2 5.92-t
1.90-2 1.70-2
6.80-l a.~?-1
1.91-l 1.82-l
6.25-2 5.70-2
1.n2*0 1.16+0
3.31-l 3.75-l
1.27-l 1.17-l
3.06+0 2.36*0
6.54-l 6.27-l
2.11-l 1.95-l
e00 15.19*21
3.13-l 3.00-l
6.95-2
6.59-2
2.30-2 2.06-2
1.07+0 l.o3*D
2.33-l 2.22-l
1.61-2 6.36-2
2.23+0 2.16+0
@.ls-1 6.59-l
1.55-1 x.*3-1
3.16iO 3.63*0
0.01-l 7.69-l
2.58-l 2.39-l
*so t&70*2)
3.11-l
0.21-2 7.66-2
2.13-2 2.46-2
1.29+0
9.06-2 8.32-2
2.6WO 2.59+0
5.13-l 5.49-l
1.05-1 1.71-l
9.59-1
1.2e+o
2.78-l 2.66-l
*.a*0
3.59-l
N.36+0
9.22-l
3.09-i 2.87-l
4.%-l @.22-l
9.68-P 9.20-Z
3.;S-2 2.66-2
l.SZ~O l-46+0
3.27-l 3.13-l
1.06-l
3.X6*0 3.05*0
5.78-1 6&6-l
2.17-1 2.01-l
5.32*0 5.15+0
1.12+0
t6.21*2)
1.oa*o
3.53-l 3.38-l
550 l6.72*21
5.03-l @.69-l
1.11-L
3.68-Z 3.33-2
1.16*0 l.lo+o
3.16-1 3.62-l
1.23-1
1.06-l
1.13-l
3.6710 3.55+0
7.81-l 1.50-i
2.52-1 2.33-l
6.18+0 5.9R~O
1.31*0 1.26*0
4.21-l 3.32-l
600 17.23+21
5.82-l 5.60-l
1.21-l 1.21-I
4.19-2 3.80-2
z.ot+o 1.95*0
9.33-l *.15-l
1.-o-1 1.23-l
u. 21+0 0.07*0
a. 95-l 6.60-l
2.(1(1-l 2.56-l
7.09*0 6.8710
1.30*0 l.*WO
*.63-l 8.50-l
650 l7.73+21
6.60-l 6.35-l
l.W-1
U.lJ-2 W.30-2
2.29+0 2.21+0
*.91-1
1.59-l 1.46-l
b. TWO *.53w
l.oI*o 9.75-1
3.21-l 3.01-l
0.05*0
@.70-l
?.81*0
1.10+0 1.6WO
5.W-1 5.11-l
700 ~6.23+21
7.42-l 7.14-l
1.61-l
5.30-2 4.62-2
2.51*0 2.ea+o
5.52-l 5.29-l
1.70-1 1.65-l
5.39*0 5.21*0
1.11+0 1.09+0
3.57-1 3.*2-l
s.oa*o o.ao+o
1.91*0 1.m*o
6.16-l 5.75-l
AWLE
9.76-2
FUHt4
FU.lN
1.11-Z 1.01-2
1.5Q-I
CD
15.00 SD
1.37-L
FU.11
FYHW
FY.ltl
500
FYWH
THROUI~H HF
10.00
1.06-l
SD
FYWtl
FY.lM
50.00
30.00
50
3.21-l 3.08-l
7.1@-2 5.73-2
2.36-2 2.13-Z
5.33-l 5.12-l
1.17-l 1.12-l
3.87-t 3.52-2
7.19-l 7.59-l
1.7+-l 1.65-l
5.70-Z 5.21-Z
l.OWO
lI.LB+Z)
l.OWO
2.40-l 2.29-l
7&b-2 7.20-Z
100 11.9*+21
9.50-l 9.15-l
2.07-l
6.76-2 6.19-Z
1.50+0 1.53*0
3.14-l 3.291
1.12-I 1.03-l
2.35rO 2.27*0
5.11-l e.sO-1
1.56-l 1.53-l
3.2wo 3.13+0
1.07-l 6.73-l
2.29-l
1.31-1
150 lt.SS*Zt
1.75*0 l.tO+O
3.80-l 3.6+1
1.23-l 1.13-l
2.9~~0 2.awo
5.3&l 6.09-l
2.05-l 1.90-L
l .37+0 4.23+0
3.~54 9.08-l
3.05-l 2.86-1
6.03*0 5.m•0
1.31*0 1.25*0
6.23-l 3.~1
200 $3.08*21
2.72*0 2.62*0
5.63-l 5.60-l
1.69-l 1.76-l
1.55+0 l .eo+o
9.76-1 3.361
3.15-l 2.93-l
6.76ro 6.55*0
1.15*0 l.*O*O
4.70-l l .38-1
3.32~0 9.01*0
2.02*0 1.9*0
5.52-l 6.09-f
250 (3.62*2)
3.8x*0 3.68*0
LI.ie-1
2.63-l z.w-1
6.37+0 6.17*0
l-36*0 x.31*0
e&O-l *.10-t
S&R+0
1.62-l
9.19*0
2.03*0 t.a6*0
6.57-l 6.LI-1
1.30*1 A.ZC*l
Z.@WO 2.73rO
a .12-l 8.%-l
300 lb.l5*2)
5.02*0 @.86+0
1.03*0
3.*5-1 3.21-l
6.*lro a.15+0
1.79+0 1.73+0
5.70-1 5.60-l
l-25+1 1.21+1
2.66+0 2.59+0
0.65-l 6.10-l
1.71*1 1.66*1
3.73*0 3.50+0
LZWO 1.12+0
350 46.67rZl
6.36+0 6.16+0
1.35+0 1.30+0
l .36-1 4.06-l
1.06+1 1.03*1
2.27*0 2.19+0
1.31-1 6.63-l
1.5a*1
s.ea*o f.ZWO
l.Oa+O
l.SS*l
1.02*0
2.17+1 2.10+1
4.72*0 l .56+0
1.52*0 l&240
a00 15.19r21
?.Bl*o 7.57*0
1.66+0 1.59*0
5.3*-1 1.98-1
I.3011 1.26cl
2.79*0 2.63*0
‘.%6-l 9.39-1
1.93+1 1.58*1
l .17*0 4.03*0
1.3WO 1.26+0
2.65*1 2.50*1
5.to+o 5.60*0
l.OWO 1.75+0
150 t5.70~21
9.37*0 9.09~0
1.99*0 1.91+0
6.40-l 5.98-l
1.5691 1.52*1
3.3ero l-23*0
1.07*0 1.00*0
2.32*1 2.29+1
5.01+0 *.m*o
1.51+0 1.51*0
3.10*1 3.09*1
6.%6*0 6.73+0
2.2wo 2.11*0
500 15.21*2)
1.10+1
1.07+1
2.3WO 2.26+0
7.53-l 7.01-l
l.GWl 1.79*1
3.swo 3.91+0
l-26*0 1.18+0
2.73+1 2.65*1
5.90+0 5.71*0
LOS*0 1.18+0
a.21*0 7.9wo
t.CI*O t.*S+o
550 16.1212)
1.28+1 l.Zi)+l
2.72+0 2.62*0
8.7@-1 8.26-l
Z.lWl 2.01)+1
l .SWO Q.*z*o
1.e7*0 1.38*0
3.17*1 3.08+1
c.%*o 5.63*0
z.zo*a 2.07*0
4.33*1 9.21*1
9.5**0 9.23*0
3.07*0 Z.&S+0
600 1?.23+2Y
1.47*1 1.*3+1
3.12+0 3.01ro
1.00*0 3.39-l
2.45+1 2.36+1
5.26+0 s.owo
1.6640 1.51)*0
3.63*1 3.53+1
7.17-O 7.52+0
Z&3*0 2.3110
4.95*1 l .I)2+1
1.09+1 1.05*1
3.52*0 3.32*0
650 17.13+2)
1.67+1 1.62*1
3.5*+0 3.@2+0
1.13+0 1.os+o
2.79*1 2.71+1
5.97ro 5.77*0
1.91+0 1.ao*o
e.11*1 hOO+l
#.SS*O 1).66*0
Z.Bl+O 2.71*0
1.2Wl 1.20*1
4.00*0 3.7mo
700 l8.23+2)
1.8811 1.82Cl
3.99*0 3.05+0
1.2wo 1.20+0
3.1**1 3.05*1
6.73+0 6.50*0
2.15*0 t.OJ*O
1.62el l .50+1
l.OO*l
3.23+0 3.05*0
1.ao+1 1.35+1
e.51*0 4.26*0
of Tables
Atomic Data ond Nuclear Data Tables, Vol. 15, No. 5, May 1975
510
SD
FYkM
9.75+0
FY.lN
FY.11)
FWHN
See page 480 for Explanation
FY.lM
SD
SO
1.01+0
FY.111
SD
ENERGY IP C-Ml
2.124
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thickness (in g/cm”) vs. Angular Spread (in mrad) PIONS lNDLE
5.00
THROCOH A”
10.00
FUHH
FUHII
15.00 FY.lC(
20.00 FY.lN
SO
50 ll.ZBtZl
1.39-2 1.31-2
3.43-3 3.22-3
1.26-3 9.96-U
8.47-2 4.21-2
l-05-2 9.a6-3
3.64-3 3.11-3
8.93-2 8.57-2
2.07-2 1.96-2
7.01-3 6.13-3
1.48-i l-al-1
3.36-2 3.17-2
l-12-2 9.99-3
100 11.94121
3.06-2 3.66-2
9.22-3 8.61-3
3.20-3 2.70-3
1.27-l 1.22-1
2.91-2 2.7#-2
9.81-3 8.64-3
2.60-l 2.49-l
5.81-2 5.51-2
1.93-2 1.73-2
9.32-l a.151
9.56-2 9.09-2
3.15-2 2.85-2
150 l2.53+21
6.96-2 6.62-2
1.62-2 1.52-Z
5.54-3 4.79-3
2.33-l 2.23-l
5.22-2 1.95-2
1.71-2 1.55-2
9.77-l 9.59-l
1.05-l 1.00-l
3.47-2 3.14-2
1.97-l 7.67-l
1.74-t l-66-1
5.70-2 5.19-2
200 l3.09*2)
1.05-l 1.00-l
2.92-Z 2.28-Z
8.21-3 7.18-3
3.56-l 3.42-l
7.91-2 7.51-2
2.62-2 2.35-2
7.33-l 7.05-l
1.60-l 1.52-l
5.25-2 k-78-2
1.22*0
t.ta+o
2.66-l t.sq-I
8.67-2 7.99-t
250 13.62+21
1.46-l 1.39-I
3.32-2 3.13-2
1.11-Z 9.85-3
*.96-1 4.76-l
1.09-l l-O@-1
3.60-2 3.25-2
1.02+0 9.86-l
2.22-l 2.12-l
7.26-2 h-S+-2
1.71*0 l-65+0
3.69-1 3.53-l
1.20-1 1.10-L
300 14.15+21
1.91-1 1.82-1
4.31-2 5.07-2
1.44-2 1.27-2
6.51-1 6.26-l
1.42-1 1.35-I
q-68-2 ..25-2
1.34+0 l-29+0
2.91-1 2.78-l
9.49-2 8.69-2
2.26+0 2.ia+o
1.85-l 1.64-l
1.57-l 1 .qs-1
350 14.68121
2.33-l 2.23-l
5.36-2 5.09-2
1.79-2 1.59-2
4.22-l 7.91-1
1.79-l 1.70-l
5.87-2 5.34-2
1.70+0 1.stro
3.66-l 3.50-l
1.19-l 1.09-l
t-85+0 2.76*0
6.11-l 5.86-l
1.98-l 1.82-l
'400 15.19*2)
2.93-1 2.80-I
6.53-2 6.19-2
2.17-2 1.94-2
1.00a 9.69-l
2.18-1 2.08-l
7.14-2 6.52-2
2.00+0 2.01*0
*.+a-1 4.29-f
1.45-1 1.33-l
3.50+0 3.33*0
7.48-l 7.18-L
2.42-l 2.24-l
950 15.70+21
3.30-l 3.35-l
7.77-z 7.37-2
2.57-2 2.31-2
:.zo+o l-16*0
2.61-l f.b9-1
8.51-2 7.79-2
Z-50+0 2.41*0
5.35-a 5.13-l
1.73-l 1.60-l
4.20*0 4.07*0
8.96-l 8.60-l
2.89-l 2.68-l
500 t6.22127
9.11-l 3.9q-1
9.03-2 8.63-2
3.00-2 2.70-2
1.42+0 1.36*0
3.06-l 2.92-l
9.97-2 9.15-2
2.9**0 2.04+0
6.29-l 6.04-I
2.03-l 1.851
1.95+0 4.79+0
1.05+0 1.01+0
3.40-l 3.15-1
550 :6.72+21
4.76-l ,.57-l
l.O@-I 9.97-2
3.46-2 S-12-2
1.64+0 1.58+0
3.51)-l 3.39-l
1.15-l l-05-1
3.42+0 3.31+0
1.30-l 7.00-l
2.36-1 2.18-1
5.76*0 5.57ro
1.22+0 1.17*0
3.94-l 3.66-l
600 17.23+2)
5.**-1 5.23-l
1.19-l 1.13-l
3.94-2 3.56-2
l.GG*o l-82+0
4.05-l 3.88-l
1.31-I l-21-1
3.9200 3.75*0
8.36-l 8.02-l
2.70-l 2.50-1
S-61*0 6.@0*0
1.*0*0 1.34+0
Q-51-1 4.20-l
650 l7.7Sb27
6.17-1 5.93-l
1.35-1 1.28-l
4.44-2 4.03-2
2.1400 2.06*0
4.59-1 4.39-l
l.@S-1 1.37-1
4.46+0 4.31+0
9.48-1 9.10-l
3.05-l 2.83-l
7.50*0 I-27+0
x.59*0 1.53*0
5.11-l 4.76-l
700 18.2c+2~
6.93-l 6.66-l
X.51-1 1.44-1
e-97-2 4.52-2
2.41*0 2.32*0
5.15-l q-w-1
1.67-X I.%-1
s.oz*o I. 86*0
l-06*0 1.02*0
3.43-1 3.19-1
8.45,0 a.19*0
1.78+0 l-72+0
5.75-l 5.36-l
4UGLE
__---_--
.--- --___
30.00 SO
FWN
50.00 FM. 1N
FY -111
--m-_-e_
10.00 FY. ltl
FYWN
so
FYWN
60.00
ENERQY IP C-N,
SD
50 l1.28*21
3.01-l 2.83-l
6.73-2 6.39-2
2.23-2 2.00-2
LLISO-1 @.80-l
l-m-1 1.05-l
3.65-t 3.31-2
7.39-l 7.12-l
1.63-l 1.56-l
5.37-2 4.90-t
l-01*0 9.80-l
2.28-l 2.15-l
7.38-2 6.?6-2
100 t1.94+21
8.89-1 8.56-l
1.94-l 1.85-L
6.36-2 5.80-2
l-48*0 X.,3.0
5.22-l 3.08-l
1.05-x 9.66-2
2*20*0 2.12*0
Q-79-1 4.59-l
1.55-l 1.43-l
J-03+0 2.93+0
5.62-l 6.3f-1
2.15-l 1.90-l
1SQ 12.53*21
1.64rO 1.6810
3.56-l 3.40-l
1.15-l 1.06-l
2.75W 2.6500
5.93-l 5.59-l
1.92-1 1.77-l
4.09*0 3.95*0
8.83-L 8.49-l
2.86-1 2.65-l
5.53*0 5.490
1.22*0 1.17*0
3.96-l 3.68-l
208 t3.09*2#
P.I3+0 t-45+0
5.46-1 5.23-t
1.77-l 1.63-1
4.24+0 e-10*0
9.12-l 8.76-l
2.95-l 2.73-l
6.31+0 6.11*0
l-36*0 1.30*0
4.3%-l 4.0¶-1
8.71+0 8.44*0
1.88+0 l-81+0
LOO-1 5.68-l
250 13.62+21
3.65,O 3.@3rO
7.61-1 7.30-l
2.46-l 2.28-l
5.95.0 5.76+0
L.27*0 1.22*0
4.11-L 3.82-l
8.84W 8.57+0
1.%0*0 1.8-O
6.13-l 5.72-l
x.21+1 1.18*1
2.64*0 Z-54*0
8.Sl-1 7.)6-l
300 14.15+2)
4.68~0 4.53+0
1.00*0 9.61-1
3.23-l 3.00-r
7.84*0 7.60+0
l-67*0 l-61+0
5.48-l 5.04-l
l-16*1 x.13*1
z-m*0 2.91*0
8.07-l 7.55-l
l-60*1 1.55*1
3.48+0 3.3s*o
l.li?+O 1.05*0
350 (9.68121
s-93*0 5.74*0
l-26*0 1.21*0
4.07-l 3.79-1
9.92+0 9.62+0
z-12+0 2.04+0
6.82-1 6.37-l
b47Pl 1.43*1
3.L7W 3.05*0
t.m*o 9 -65-l
2.02+~ 1.96+1
4.40*0 4.2SW
x.4140 1.33*0
400 fs.l3+2l
7.28.0 7.05ro
1.5*+0 1.45+0
1.99-1 6.65-l
1.21+1 X.18.2
2.60*0 2.50*0
8.36-l 7.82-l
l-80+1 1.75+1
3.a9*0 3.75*0
1.25*0 1.17*0
2.48*1 2.41*1
S-40*0 S-22+0
1.74*0 l&W0
OS0 t5.70+27
8.74.0 8.46*0
l-85+0 1.74+0
5.97-l 5.57-l
l-46+1 1.41*1
3.12*0 3.01*0
l.QmO 9.39-1
2.16+1 2.10*1
e.57*1 4.6X*0
1.10+0 1.41*0
2.97*1 2.8%*1
c.4*0 6.27+0
L&o+0 I.%*0
500 16.22*21
l-03+1 9.9BeO
2.18*0 2.10+0
7.03-l 6.57-l
l-72+1 l-67+1
3.67*0 3.54+0
l-18*0 1.10+0
2.55+1 2.47+1
s.sn+o 5.3140
l-76+0 1.66rO
3.49*1 3.4091
I.bS*O 7.3%*0
2.4mo 2.31+0
550 16.72+21
i.ia+i X.16.1
2.53+0 2.44+0
8.15-l 7.63-l
2.00*1 1.94*1
q.27+0 s.12*0
1.37+0 l-28*0
z-95*1 2.87*X
6.39*0 6.18*0
2.05*0 1.93*0
-OS*1 3.94*1
8.8%*0 8.5¶+0
2.8wo 2.69*0
600 ‘7.23+2)
l-37+1 l-33+1
2.*1*0 2.00+0
9.35-l 8.75-l
2.29*x 2.22*1
l .90+0 4.73+0
1.57*0 t.47*0
3.3%., 3.29*1
7.33-o 7.09*0
2.35*0 2.22+0
4.63+1 4.61-l
3.02+1 9.87*0
3.28*0 3.09+0
650 t7.73+21
l-55.1 1.51+1
3.30+0 3.19*0
1.05+0 9.94-l
2.60*1 2.5211
S-56+0 5.37*0
l-78*0 l-67+0
3.8..1 3.73*1
8.33+0 8.06+0
L-67*0 2.52+0
l.l!%l 1.12*1
3.73*0 3.62+0
700 ta.zq*zI
1.75.1 1.70+1
3.72*0 3.59+0
1.19*0 1.12+0
2.92+1 2.84*1
6.27+0 6.05*0
2.01*0 l-89*0
4.32*1 .-to*1
9.38+0 9.08.0
3.01*0 2.84*0
1.30*1 l-26*1
4.20~0 3.95*0
See page 480 for Explanation
FURlI
so
FUHN
SD
,---_---_
FU .lM
SO
ENERGY IP c-n1
FY.lN
so
FYHN
FV.lR
of Tables
511
Atomic Data and Nvchr
Doto Tables, Vol. 15. No. 5, May 1975
HUNGERFORD
and MAYES
Proton, Pion Target-Thickness-Angular-Spread
Tables
TABLE II. Target Thick~ness (in g/cm2) vs. Angular Spread (in mrad) PIONS ANGLE
5.00
ENERGY fP c-Nl
SD
50 Il.28121
1.37-2 1.23-2
3.17-3 3.21-3
100 ,1.94+2,
3.82-2 3.62-2
150 fi.53+2)
THROUGH PB
10.00 FY.lW
15.00
FYtfIf
FY.ltl
SO
1.26-3 3.84-4
4.41-2 4.13-2
l.Oe-2 9.79-3
3.62-3 3.08-3
8.67-2 8.*6-2
2.04-t 1.92-2
6.95-3 6.06-3
l.W6-1 1.39-l
3.32-2 l.ll)-2
1.11-2 S.OG-3
9.14-3 8.53-3
3.18-3 2.68-3
1.26-l 1.20-l
2.88-2 2.71-2
9.71-3 8.59-3
2.56-l 2.*5-l
5.74-2 5.46-Z
1.31-z 1.70-2
l .26-1 4.03-l
9.1+2 0.97-2
3.11-P 2.81-Z
6.87-2 6.53-2
1.60-Z 1.50-2
5.50-3 4.74-3
2.23-1 2.20-l
5.16-2 &.B6-2
l-72-2 1.53-2
9.70-l 4.52-1
1.03-L 9.68-2
3.e2-2 3.09-2
7.95-l 7.55-l
1.71-l 1.63-l
5.63-2 5.12-Z
200 13.09+21
1.04-l 9.93-2
2.39-2 2.25-2
8.13-3 7.10-3
3.51-l 3.36-l
7.31-2 7.Pl-2
2.58-2 2.32-2
7.22-l 6.96-1
1.58-1 1.50-l
5.18-t @./l-Z
1.20*0 l.L6+0
2.62-l 2.50-l
8.55-P 7.82-Z
250 13.62r2)
1.44-l 1.37-1
3.28-P 3.09-Z
1.10-Z 9.73-3
4.88-l 9.63-1
1.07-l 1.02-l
3.55-2 3.21-t
1. oo*o 9.70-1
2.19-1 2.09-l
7.16-Z 6.56-Z
f.SWO 1.62*0
3.64-l 3.45-1
1.18-l 1.06-1
300 iY.l5*21
1.88-1 1.73-1
*.25-2 4.02-t
1.42-2 1.26-2
6.111-l 6.16-1
1.40-l 1.33-l
4.62-t 4.19-Z
1.32*0 1.27+0
2.86-l 2.74-l
9.35-Z 8.56-Z
2.22+0 2.11*0
1.77-l Q.57-1
1.55-l 1.42-l
350 l&.68+21
2.36-l 2.26-l
5.31-2 5.02-Z
1.77-2 1.57-2
8.03-l 7.70-l
1.76-l 1.68-l
5.70-2 5.26-2
1.67+0 1.61+0
3.60-l 3.*5-1
1.17-1 1.07-l
2.01+0 2.71*0
6.01-l 5.76-l
1.95-l 1.80-l
400 15.19+2l
2.88-l 2.76-l
6.#4-2 6.11-2
2.1*-2 1.91-2
9.90-l 5.53-1
2.15-l 2.05-l
7.01-2 S.e2-2
2.05+0 1,9a*o
4.*1-t 4.22-l
1.43-i 1.31-l
3.w+o 3.33+0
7.36-l 7.06-l
2.30-l 2.20-l
450 (5.71+21
3.4e1 3.30-l
7.66-2 7.27-2
2.51-P 2.28-2
1.1t3+0 1.1*+0
2.57-1 2.65-l
a. 39-2 7.67-2
2.46+0 2.37+0
5.27-l 5.05-l
1.71-l 1.57-l
l .13+0 ~.OO~O
6.81-1 5.*6-1
2.6@-1 2.66-l
500 16.2212)
4.04-l 3.85-1
8.97-2 0.51-2
2.96-2 2.66-2
1.33+0 1.3e*o
3.01-l 2.88-l
9.83-2 9.01-2
2.90*0 2.5oe
6.20-Z 5.9*-1
2.09-L 1.85-l
*.67*R u.71+0
1.113*0 9.96-l
3.36-l 3.10-l
550 l6.72*21
1.68-l 4.49-l
1.03-l 9.83-2
3.41-2 LOB-2
1.62*0 1.56+0
3.49-l 3.33-l
1.13-1 1.04-l
3.36*0 3.25+0
7.18-l 6.09-1
2.32-l Z.lb-1
5.66+0 5.*a+o
1.20*0 1.15*0
3.97-l 3.60-l
600 f?*23*2l
5.36-l S.lY-1
1.18-l 1.12-l
3.08-t 3.51-Z
,.a5+0 1.79+0
3.93-l 3.82-L
1.29-1 1.19-l
3.(16+0 3.73*0
&22-i 7.83-l
2.65-l 2.86-l
6.49*0 6.23*0
1.37*0 1.32*0
4 .a+1 4.13-l
650 17.73*21
6.07-I 5.83-l
1.33-l 1.26-1
b.38-2 3.97-2
2.10*0 2.03+0
4.52-l @.32-l
1.46-l 1.35-l
k.JWO a.21+0
9.32-l B.96-1
3.01-l 2.79-l
7.33+0 7.14+0
1.56+0 1.50*0
5.03-l I .6S-1
700 t5.211+21
6.82-l 6.56-l
1.85-1 1.42-l
4.91-2 4.45-2
2.37+0 2.2840
5.07-l 1.06-1
l.%-1 1.51-l
4.93*0 4.77+0
1.04+0 i.ama
3.38-1 3.1,-1
5.31+0 5.05*0
x.75+0 1.6%*0
5.65-l 5.27-l
SO
FWM
------
--_ ._------_
ANBLE
.------_
.-------
FYWM
20.00
SO
----
FYHH
FY.lH
SO
FYYN
FU.11
_________--_------_-----------------------------
30.00
40.00
50.00
60.00
FV.lW
so
6.65-2 6.31-Z
2.20-2 1. se-2
4.93-l 6.73-1
1.03-l l.OC1
3.61-2 3.27-2
7.23-1 7.01-l
1.61-1 l.H-1
5.31-2 1.03-P
1.00*0 9.65-l
2.22-l 2.12-l
7.28-2 6 46-Z
8.75-l 5.*2-1
1.91-l 1.82-1
6.27-2 5.72-2
1.*6*0 1.*0+0
3.17-l 3.01-l
1.03-i 9.51-2
2.16*0 2.09*0
6.71-l 6.52-l
1.53-l l.U-1
z.m*o 2.m*o
6.52-l 6.25-l
2.11-l 1.%-l
150 l2.53+2)
I.6240 1.56+0
3.50-l 3.35-l
1.1*-1 1.01-l
2.7010 2.61+0
5.m-1 5.60.1
l.BS-1 1.15-l
e.azuJ 3.wa
6.63-l 0.35-l
Z.Bl-1 2.61-t
5.5**0 5.37*0
1.2010 1.15*0
3.89-l 3.62-l
200 13.09*21
2.15*0 2.*1+0
5.37-l 5.15-l
1.74-l 1.60-l
Q.lT+O *.o*+o
8.30-1 0.62-l
2.90-l 2.69-l
6.21+0 6.01+0
1.3-o i.zma
k.32-1 6.02-l
B.56*0 B.3WO
1..5*0 1.7wo
5.99-1 5.66-l
250 f3.62+21
3.49*0 3.3740
7.#9-1 7.19-1
2.*2-1 2.20-L
5.6540 5.66CO
1.25+0 l.za+o
l .oe-1 3.76-l
8.7O+a 8.*3*a
1.07*0 l.atwO
6.03-l 5.63-l
1.13*1 1.1641
2.5wa 2.60*0
6.31-l 7.63-l
300 4.6040 16.15*2 1 4.@5*0
9.85-1 9.46-1
3.18-l 2.95-1
7.71+0 7.*7+0
1.65+0 1.5B+a
5.32-l Q.95-1
l.lWl 1.11+1
Z&6*0 2.37+0
7.96-1 7.62-l
1.5711 1.53*1
3.42*0 3.30+0
l.lWO 1.03*0
350 fS.68+2)
5.83,0 5.51rO
1.2*+0 1.19+0
4.01-l 3.72-l
9.76+0 9.*5*0
z.oo+a 2.00*0
6.71-3 6.27-l
1.@5*1 i.4a*i
3.11*0 3.owa
l.OWO 9.39-l
1.99*1 1.33*1
l .33+0 u.17*0
1.39*0 ia+a
400 l5.19+21
7.1540 6.93+0
1.52+0 1.#6+0
a .91-l 8.57-l
1.19*1 1.16+1
2.55*0 2.46*0
8.23-l 7.69-l
1.77*x 1.72+X
3.a2+0 3.69*0
1.2340 1.15*0
Z.WWl 2.37+1
5.31*0 5.13+0
1.71+0 l.M~O
l 50 B.5WO I5.71+2 I B. 32+0
1.52*0 1.75*0
5.60-1 5.18-l
1.e3+1 1.39*1
3.06*0 2.95+0
9.56-l 9.23-l
2.13*1 t.a7*i
4.53*0 6.63*0
1.*7*0 1.30*0
2.92*1 2.8Wl
6.36*0 S.lCcO
z.os+o 1.93eo
500 t6.22+21
1.01.1 3.61*0
2.15+0 2.07*0
6.91-1 6.66-l
l-63*1 1.64+1
3.6110 3.*mo
1.1690 r.lu*o
2.50+1 2.,3+X
5.*1+0 5.22+a
1.73*0 l-63*0
3.***1 3.3**1
7.52*0 7.27*0
2.42*0 2.21m
550 #6.72+2J
1.17+1 1.14+1
z.es+o 2.*0+0
8.02-l 7.56-l
1.96+1 1.90+1
*.20*0 *.05*0
L.34.0 1.26-
2.31+1 2.62*1
S.ZB*O 6.07W
2.02+0 l.BS+O
3.95*1 3.87*1
8.73+a 8.%*0
2.61*0 2.Heo
600 17.23*21
1.3e*l 1.30+1
2.06+0 2.76*0
9.19-1 5.60-1
2.25+1 z-18*1
4.51+0 @.65*0
1.5wo l.#S,O
3.33*1 3.2Wl
7.2i+a 6.97*0
Z.Jl+O 2.16*0
l .56*1 4.43*1
1.00*1 9.69+0
3.22*0 3.OIea
650 f 7.73*21
1.53*1 1.48bl
3.25+0 3.13ro
1.04*0 9.77-1
2.55*1 P.eB+l
5.a7+a 5.21*0
1.75*0 1.65*0
3.71*1 3.6711
2.63*0 z.eo*o
1.13*1 1.10*1
3.66*0 3.66+O
700 #8.24+2)
1.72*1 1.6711
3.66+0 3.53*0
1.17*0 1.10*0
2.07+1 .?.79+1
6.16+0 5.95*0
1.97+0 1.05+0
* .2@+1 *. 13*1
2.9600 2.79*0
l.ZWl 1.24*1
4.13*0 3.Bwa
ENERGV tP C-WI
SO
50 ,1.28+2,
2.37-l 2.55-l
100 ll.s4*2~
See page 480 for Explanation
FYHM
FYiiff
FY.11
50
FYlfM
FU.lM
FU.UI
of Tables
Atomic Data ad Nvclwr Data Table,, Vol. 15, No. 5, May 1975
512
Atomic
Data and Nuclear Data Table%,Vol. 15, No. 5, May 1975