ACTA
170
Short
range
Several
order
in aluminium
investigators
measurements
METALLURGICA,
have
bronze*
recently
by u
from which short range
order
used filings
containing
and Averbach
14.5 at. y0 Al, Kagan et aZ.@) used filings or
solid alloy (unspecified)
containing
18.6 at. o/o Al, and
Boriec3) examined a single crystal with about 15 at. y0 Al.
After anneal at 700°C Kagan et a,l., claimed an cur
SRO parameter admission
as high as (-) 0.43 (though
that
Houska
and
this
might
Averbach
Kagan et al. attempted the
heat-treatment,
of the electrical resistivity at various temperatures
found
that
However,
temperature,
and
heating
z a b
measurements
to the
suggestion
has
recently been reinforced by resistivity measurements due to Kiister and Rave’s). Again, the phenomenon of anneal hardening of some copper-base
from
OYenched
fra
35O’C
quenched
from
25OT
quenched
from
200°C
quenched
from
15OT
i .E
0.5
-
E 2
28. FIG.
solid solutions,
degrees
1. Corrected diffuse scattering various heat treatments.
250, 200 and equilibrium
150°C
order.
respectively,
profiles
so as to achieve
All profiles show clearly the presence of a SRO peak near 20 = 28-30’;
this angle is close to that found
by the other investigators (allowing for the different The height of the peak, and wavelength used). consequently
the
degree
of
SRO,
increases
annealing temperature from below 400°C. but reproducible, feature is the anomalous,
This was also found by Houska and Averbach
In the light of these considerations,
2 years ago by the authors. Fine-grained 15 at. y0 Al,
sheet ground
of
a Cu-Al
flat
examined in an evacuated
and
Co KK X-rays
crystal were used,
containing was
diffuse scattering apparatus
provided with a proportional analysis.
alloy
electropolished,
counter with pulse height
monochromated
by a bent
Rough correction for Compton and
thermal scattering was achieved by measuring the scattering profiles from pure copper and aluminium and weighing
these appropriately.
atomic scattering
The variation
factor and polarization
convergence
of the profiles
may be due to simultaneous
it is of interest to present briefly some results obtained
proportionality
intensity
in electron
constant
was not
correct for long term fluctuations profiles
were normalized
at small Bragg and compensating
angles. and changes
in SRO and the size effect factor due to the displaceIn Fig. 2, ment of atoms from lattice points. uncorrected
scattering
profiles
are reproduced
for a
sample which was partly disordered, first by quenching and later by cold rolling.
After
each disordering,
(The low-angle
tail of the profile of the rolled sample
was lower than for the sample disordered by quenching, or for the ordered sample;
this again is anomalous.)
of
factor with
units, though
the
determined.
(To
A
quenched
from
6OO’C
B C
quenched quenched.
from then
600°C+165h rolled 46%
01 15Z°C
in incident intensity,
at 20 = 40”, since it was
observed that at this angle scattered intensity almost independent of previous heat treatment.)
a
prolonged heat treatment at 150°C re-established very substantial order which was the same in both cases.
Bragg angle f3 was also allowed for; the corrected scattering profile was then at all angles proportional to the scattered
with
decreasing
attributed
the deformation.
diffuse
scattering profiles obtained after these heat treatments.
An
of SRO destroyed by
after
Fig. 1 shows the corrected
including Cu-Al, (hardening due to a low temperature anneal following heavy deformation) has by some been to there-establishment
400-700
1.0 -
at
and Kernohant4))
this
qusnched
B
z
Only
of Cu-AI alloys heat treated (Wechsler
n C
1.5-
overestimate).
tcl = -0.14.
that SRO might be quite sensitive
annealing
o : 3
at.% AL
with an
the anneal at 7OO”C, made very
little difference to the SRO.
suggested
an
h-15
to relate the degree of SRO to and
300~5OO”C, following
be
found
1962
-_
solid solutions of aluminium in copper, they inferred the presence of substantial Houska
10,
published
of the diffuse scattering of X-rays
(SRO).
VOL.
was
A sample was heat-t,reated at 350,250,20Oand 150°C in each case following a brine quench from 550°C; further heat treatments were given at 600°C and 700°C (followed by the brine quenches). Annealing times of 3 hr, 1 week, 1 month and 2 months were used at 350,
I
30 28,
I
I
40
50
degrees
FIG. 2. Uncorrected scattering profiles, showing effects of quenching, rolling and annealing.
1
LETTERS
The
Russian
considerable
workers(2)
were also able
TO TKE
to produce
The increase of order as the annealing temperature
with the resistivity
still higher quenching begins to increase, measurements; vacancies
measurements.(5)
this was attributedt4)
which accelerate
diffusion
to quenched-in during the later
did not go high enough to test this; interesting
For
temperatures the order again according to the resistivity
stages of the quench. Our heat-treatment
The
Further
SRO by annealing at 260°C after rolling.
is lowered below 35O”C, and its insensitivity to annealing temperature in the range 400-7OO”C, is consistent
EDITOR
temperatures
it would
171
evidence for the atomic size effect in dilute binary liquid metal solutions*
A knowledge
of the parameters
the factors which control corrosion and mass transfer in nuclear power plants employing
of any
pronounced
as working
fluids.
between alloys annealed at 700,500 Russian workers@) is consistent
to fit experimental
solubility
in
expression
metals
employed
A T
B,
+
(1)
SRO
with the observations quoted
metals as
data is:
be an
and 300°C by the
of our Fig. 1, and with the conclusion
A common
log,,, N =
difference
liquid
heat transfer media and boiling and condensing
theme for future examination.
lack
which determine
the absolute solubility and its temperature coefficient is an important prerequisite to an understanding of
in the
where N is the atomic fraction of solute in the saturated solution
T”K, and A and B are
at the temperature
assumed
to be constants.
In a previous
a
order one
was presented
must either anneal below 250°C or quench from above
coefficients
of solubility-2.303
800°C.
gas constant-in
The creation of substantial short range order at low temperatures is consistent with a dilatometric anomaly below 265°C discovered by Chevenard(6), and also with
the ratio of the atomic radius of the solvent atom divided by the atomic radius of the solute atom. A
a calorimetric
further
preceding
paragraph.
To get substantial
anomaly
found by ~asumoto
in the range 17&33O”C
et o1.‘7) and confirmed
and Zenkova(8);
this calorimetric
t,o that recently
explored
anomaly
by Clarebrough
first
described
RA
where R is the
dilute binary liquid metal solutions
and the atomic
size factor,
analysis
is’, which was defined as
of the solubility
data,“)
including
by Panin is similar
between B in equation (I) and S, and the results are given in the present communication.
et CL(~) in
The present investigation
desirable that future measurements
the temperature
more recently reported data:t2-@ yielded a correlation
their study of a brass. In view of the observations
between
paper(l)
correlation
above,
it is
of SRO in alloys
was restricted
mainly
to
dilute binary metallic systems in which the phase in equilibrium with the saturated solution is essentially
should be made on samples which have been subjected
pure solute in the concentration
to well defined heat treatments.
a few systems
One of us (R. G. D.) is indebted to Her Majesty’s Department of Scientific and Industrial Research for
also considered.u)
a maintenance
the solutes in the systems designated by squares are for 6-fold co-ordination and all other atomic radii are
grant.
R. G. DAVIES
Department of Physical Metallurgy
R. W. Carry
University of Birmingham Birmingham
15, U.K.
containing
region considered;u’
carbon
Figure 1 is a plot of B vs. 8.
for
12-fold
previously,(i)
co-ordination.(l)
as the solute were The atomic radii for
For
reasons
discussed
certain systems are represented in Fig. 1
by both circles and squares. References
1. C. R. HOUSKA and B. L. AVERBACH,J. Appl. Phys. 30,
1525 (1959). 2. A. S. KAG~N, V. A. SOMENGOVand Y-4. S. UMANSKII, ~~~~~~~g~~~yu 5, 540 (1960); (English version) i%vi& Phys. Cry&. 5, 519 (1961). 3. B. S. BORIE, private communication. 4. M. S. WECNSLERand R. H. KERNOHAN,Aeta Met. 7, 599 (1959). 5. W. KBSTBX and II. P. RAVE, 2. Metallic. 52, 158 (1961). 6. P. CHEVENARD,J. Inst. Met. 38, 39 (1926). 7. H. MASU~~OTO,H. SAITO and M. TAKARASHI, Sci. Rept. Res. In&s. To?wku Univ. A7, 465 (1955). 8. V. E. PANIN and E. K. ZENKOVA, DoleI. Akad. Nauk SSSR 129, 1024 (1959); (English version) Soviet Phys. Dokl. 4, 1368 (1960). 9. L. M. GLARESROUGH, M. E. HARGREAVES and M. A. LORETTO, Proe. Roy. 2%. (London), A257, 326, 338, 363 (1960). * Received August 21, 1961.
Although
the total
number
of plotted
points
in
Fig. 1 is not very large, especially in the region of atomic size factor less than unity, and there is some scatter in the data,t
a general trend is still indicated.
The data suggest two concave-upward
curves which
are quite similar to those shown in Fig. 1 of Ref. 1. Thus,
for the systems
studied,
the disparity
in the
atomic radii of solvent and solute atoms appears to be an important factor which determines the value of each of the two unknown parameters, A and B, in t The scatter in Fig. 1 may be attributed in part to the fact that atomic radii we not constantc) and that liquid metal solubil~ty data available in the literature frequently lack the precision and reliability typical of data for systems involving less serious experimental difficulties.