JOURNAL
OF NUCLEAR
24 (1967)
MATERIALS
ELECTRON
104-106.
MICROANALYSIS
IN PLUTONIUM-GALLIUM M. R. HARVEY The Dow
Chemicd
Company,
Rocky
29 May
(1)
where KA is the measured relative intensity of element A, UAB is a conversion parameter for A in alloy AB and CA is the concentration of A in wt %. Their procedure consists of *
Work
performed
under USAEC
Contract
IRON ALLOYS
Golden, Colorado 80401,
*
USA
1967
determining
+ (1 -aAB)cA,
AND
CO., AMSTERDAM
RIEFENBERG
Flats Division,
Quantitative analysis with an electron probe microanalyzer has been discussed by many authors 1-s). Th ere is general agreement that the most accurate results are obtained by using known standards in the same composition range as the unknown. Frequently however, these standards are difficult and time consuming to prepare. As a result elaborate correction procedures have been developed to convert the observed X-ray intensities into concentrations. Depending on the particular system, fluorescence, adsorption and atomic number corrections have to be applied. These corrections require a knowledge of the mass absorption coefficients, the electron stopping power, backscatter coefficients, and fluorescence properties of the constituent elements. In systems such as Pu-Ga and Pu-Fe, some of these numbers are not well established. In addition, their particular application in systems with widely differing values of the atomic number is not as rigorous as in systems such as Fe-Ni or Cr-Fe. Ziebold and Ogilvie 7) have proposed a method which eliminates the necessity for preparing a large number of standards or applying corrections to observed intensities. They propose the following empirical equation
PUBLISHING
PLUTONIUM-IRON
and D. H.
Introduction
cApA=aAB
NORTH-HOLLAND
OF GALLIUM
AND
Received
1.
0
aAB from
an
alloy
of
known
composition and then applying it to the entire concentration range. Ziebold and Ogilvie’s justification for using this equation is based upon a very good correlation with a large number of systems. In addition they have shown that an equation of this form can be obtained by rearranging Castaing’s complete intensity-concentration expression 8). When this is done the conversion parameter has the following
form
aAB=
[o~BI~AI [f(~~)/f*(~*)l
[1 i ~l-l,
(2)
where &g and &A are the atomic number corrections, f(XA) and f*(x*) are the absorption corrections for pure A and for the alloy; and (1 +x)-l is the secondary fluorescence correction. All these terms are concentration-dependent, however they apparently counteract each other so as to yield a product which is essentially constant. In correlating this expression with twenty
systems Ziebold
aAB=o.g5[(a+X,A)/(o+X~)]
modified
eq. (2) to
[ZA/~B]~=‘~ x
X
[l + O.O71t]-1,
(3)
where rs is a constant dependent on accelerating potential, d and & are the absorption corrections for A in A and A in B ; and .??A and .& are the atomic numbers of A and B. A numerical solution for eq. (3) is readily which allows obtained for most systems comparison with the experimentally determined aAB.
AT(29-l)-1106. 104
ELECTRON
The present project to determine
MICROANALYSIS
was undertaken
if the relative
intensity
in order data for
GaKol and FeKa radiation obtained from various Pu-Ga and Pu-Fe alloys could be correlated with eq. (1). The only published
OF
GALLIUM
AND
105
IRON
plutonium lines. The beam current was held to less than & lo/’ deviation. Intensities were determined
by averaging
the counts on fifteen
separate areas and converted to relative intensities by normalizing with a pure gallium
work done
standard.
on the Pu-Ga system was by Hakkila et al. g), in which a Pu/l.O wt o/o Ga alloy was examined.
averaging
A conversion
Pu-Fe alloys were run in a similar manner.
reported
quantitative
parameter
which
on
a
@a, rU, of 0.33 was relative intensity-
concentration plot gave deviation from linearity.
a
strong
positive
Experimental
3.
was
determined
by shifting
off wavelength
+
and
by
the spectro-
-0.030
A. The
Results and discussion Fig.
Scott and Ranzetta lo), in studying the Pu-Fe system, observed a negative deviation from linearity which is indicative of over-riding absorption effects. This is strange because one would expect a similar behavior to that of the Pu-Ga system. 2.
meter
Background the count
1 shows the data plotted
according
to
eq. (1) for both systems. As can be seen from eq. (l), the ordinate intercept also yields the conversion parameter aAB. The values obtained (@a, pu = 0.806 and aFe, pU= 0.960) are compared with the individually calculated values, and with those calculated from eq. (3) in table 1. + The Pu-Ga data still show a positive deviation
procedure
Six alloys ranging from 0.56 to 2.12 wt y. gallium in the delta-stabilized region 11) and four intermetallic compounds (PusGas, PuGa, PuGaz, PuGas) were prepared by induction and arc melting, respectively. After homogenizing, the specimens were metallographically polished, with the final abrasive being lym diamond paste. Two iron compounds, PusFe and PuFez were arc melted, annealed and prepared for the microprobe in a similar manner. To avoid radioactive contamination of the microprobe, the samples were ultrasonically cleaned in Dow Chlorothene Nu* and rinsed with ethyl alcohol. The alloy surface was then flooded with alcohol and a film of Kodacel A-30** pressed onto it. The film was stripped off and the procedure repeated several times to remove any loose oxide. The surface was masked and the entire mount sprayed with clear lacquer. After removing the masking, the sample was placed in a Materials Analysis Corporation Microprobe, Model # 400. An accelerating potential of 19 kV was used to eliminate interference from the second order LB1 and L#?s * The Dow Chemical Company, Midland, Michigan. **
Eastman
York.
Kodak
Company,
Rochester,
New
Pu-Fe
n
0 Pu-Go
Go” - 0
”
”
S
0.5
”
’
’
1.0
Ga, Fe CONCENTRATION (wt.%)
Fig.
1.
Ziebold
plot of GaKa
and FeKn
radiation
for Pu-Ga and Pu-Fe alloys and compounds. left point
on Pu-Ga
alloys between t
line represents 0.56
Values of a~~(l.0
overriding indicative
Extreme
average
and 2.12 wt
are usually attributed
fluorescence
of six
o/o Ga. to an
effect while values > 1.0 are
of strong absorption
effects. This however
is not the entire picture because e simple calculation will
show
dominant
that
the
atomic
in the Pu-Ga
number
and Pu-Fe
correction
systems.
is
106
M. 'PABLE
Comparison Sample
HARVEY
wt O/oGa
parameters.
1
GAB
1
0.56
0.811
2
0.76
0.773
3
1.15
0.796
4
1.53
5
1.85
6
2.12
RIEFENBERG
3.90 wt o/o iron. This difference in concentration yields a variation in C/K of 0.02 whereas the
same
error
certainty
in PuFez
in
the
is negligible.
composition
The
of
the
un-
PuGFe
resulted in using the PuFez point for the extraempirical
0.807
relating
to concentration
0.795
followed
gallium and plutonium-iron alloys. Therefore, accurate quantitative analyses of gallium and
0.819
PuGa
22.6
0.813
PuGaz
36.8
0.827
PuGas
46.7
0.828
Intercept (determined by least-squares)
0.806
Calculated from eq. (3)
0.750
~
H.
0.806
14.9
wt %Fe
D.
polation in fig. 1. In summary, Ziebold’s
PusGas
Sample
ARD
1
of conversion
1
R.
aAB
PusFe
3.9
0.930
PuFe2
31.9
0.964
Intercept
0.960
Calculated from eq. (3)
0.814
iron
relative
intensity
for gallium
equation is
and iron in plutonium-
in unknown
alloys, through the entire can be obtained by composition range, determining the Ziebold conversion parameter from a single standard. If however, the standard is in the low concentration range, several other standards should be run and the parameter determined by extrapolation.
References on an intensity-concentration plot although the amount is much less than the data reported
1) R. Castaing, Thesis (University of Paris, 1951) 2) L. Marton (ed.), Advances in Electronics and
by Hakkila. The data reported here seem more reasonable since a calculation of the conversion
7
parameter using eq. (3) yields: UGa, pu= 0.750. Contrary to the data of Scott and RanzettalO), the Pu-Fe data also show a positive deviation from linearity although this is reduced even further from the Pu-Ga data because of the higher mass absorption coefficient of iron in plutonium. Again these results are predicted by use of eq. (3) which yields a&, ~,=0.814. The agreement of the data with eq. (1) in the Pu-Fe system is not as good as in the Pu-Ga system. This results from the extreme sensitivity of the function to concentration errors at low concentrations. For example, chemical analysis showed that the PusFe intermetallic (theoretical composition -3.79 wt o/o iron) was closer to
9
ElectronPhysics T.
0.
Ziebold
35 (1963)
13 (Academic Press, 1960) p. 317 and R.
E.
Ogilvie,
Anal.
Chem.
621
P. M. Thomas,
UKAEA
Report,
National
Lead
AERE-R-4593
(1964)
5,
J.
E.
Colby,
NLCO-929
9
W.
M.
Mueller,
Advances
(USA)
Report,
(1964) 0.
in X-ray
Mallet
and
Analysis
M.
Fay
7 (Plenum
(ed.), Press,
1964) p. 395
7)
T.
0.
Ziebold
36 (1964)
9
T. D. McKinley, Wittry
9)
(ed.),
)
K.
Chem.
Report,
(Wiley,
and C. F. Metz,
LA-3125
(1964)
J. Inst. Met.
160
F. H. Ellinger, Mat.
and D. B.
Microprobe
V. D. Scott and G. V. T. Ranzetta,
J. Nucl.
Anal.
F. J. Heinrich
G. R. Waterbury
(USA)
90 (1961-62)
11)
Ogilvie,
The Electron
1964) p. 378 E. A. Hakkila, Los Alamos
10
and R. E.
322
C. C. Land and V. 0. 12 (1964)
226
Struberg,