JOURNAL
OF NUCLEAR
44
MATERIALS
DECOMPOSITION
(1972)
OF GAMMA
207-214.
0 NORTH-HOLLAND
PUBLISHING
PHASE IN A URANIUM-g.5
CO.,
AMSTERDAM
wt O/0 NIOBIUM ALLOY
B. DJURIC “Boris
KidriC”
Institute of Nuclear Sciences, Received
The
isothermal
solution
decomposition
of a U-9.5
of
wt O/bNb
the temperature
interval
diffraction
metallography.
proceeds
and in two
precipitation composed gamma
The
The
first
solid
solution
librium
at
given
~+YZ
modification
phase of the
a
in
During lamellar
constante
Apr&
prolong4
recuit
eutecto’ide l+yz.
de
Der isotherme
this process
zwischen
a
microstructure
Zerfall
450
und
metallographisch sich in zwei
place.
d&omposition
d’un
alliage
suivie
dans
isotherme
U-Nb
l’intervalle
600 “C en utilisant l’examen poursuit tation
de
la diffraction
en deux stades. discontinue
la
solution
d’un
d’une
de Nb
temperatures
m&allographique.
phases compose
1.
de
it 9,576 en poids
La agrbgat
solution
de
des rayons
zweiphasigen
a 6th
und einer
X
k
alpha
ce
se produit lamellaire
hat.
se
eutektoidisch
Nach
Phasen
B deux
eine
et d’une
Schritten.
2.
Der mit
Zerfall
erste
besteht
einem
y-Phase,
in
die
Gleichgewicht
7%. Wiihrend der
dieses
urspriinglich
aus einer
cx-Mischkristall
die eine
Wiirmebehandlung im
und
vollzieht
in einer lamellaren
bei einer bestimmten
liingerer
o( und
U-9,50/, Nb wurde
Der
Ausscheidung
Anordnung
Bnderung
struktur
der y-Phase
600 “C! rijntgenographisch
metastabilen
et
Introduction The decomposition
processus
microst,ructure
untersucht.
Zusammensetzung
est une prbcipi-
lamellaire
solide
solide 450
d&omposition
Le premier
la
par
de phases
longer
into the equi-
diskontinuierlichen La
tempbrature
dans le melange
Durant
modification
& une
elle se d&ompose
initiale.
a metastable gamma has a constant
mixture. original
une
La phase gamma mbtastable
composition
d’hquilibre
and
After
une
un processus
is a discontinuous aggregate
eutectoidally
1972
don&e.
decomposition
temperature.
it decomposes
Yugo&via
Beograd,
phase gamma mhtastable.
solid
two-phase
phase. The metastable
annealing
gamma
was followed
450 to 600 “C, using X-ray
lamellar
a
of alpha
composition
takes
steps.
of
the
alloy
21 March
Vi&a,
konstante
Temperatur zerfiillt
sie
befindlichen
Prozesses
lamellaren
findet Mikro-
statt.
Previous
work
of the U-Nb gamma solid
Gamma solid solution in uranium alloys with
solution in the a+ yz phase region has been investigated by many authors. However, the exact course and mechanism of this process is not elucidated yet. According to the equilibrium diagram, the gamma phase should decompose eutectoidally into the ol+ yz phase mixture. Since previous work has shown that the reaction is not so simple, we have undertaken this study as an attempt to contribute to the better understanding of the decomposition process. We investigated the isothermal transformation of a U-9.5 wt o/o Nb alloy in the temperature interval 450 to 600 “C, using metallography and X-ray diffraction.
niobium contents between 6 and 9 wt o/0 undergoes a transformation to a tetragonal structure on quenching l-3). In alloys with higher niobium content the gamma phase is retained at, room temperature. According to Wilkinson 4), gammaquenched samples of U-10 wt y. Nb alloys, exposed to an anneal below the eutectoid temperature, transform into a metastable phase which later decomposes into the a+ y2 equilibrium structure. Jackson and Miley5) observed, in samples of a U-10 wt o/o Nb alloy annealed 1 h at 500 and 575 “C, gamma phase with lattice parameter somewhere between the parameters characteristic of the starting and equilibrium gamma phases. No details about,
207
208 the nRture aid
B.
the f~rrnat~~~l kinetics
DJURId
of the
quantities
of niobium
in the form of carbides.
metastahle phase were given in the Is& two referencss. The most detailed investigation of the gamma phase de;aamposition in the B + yz field was
Rogers et a1.s) and Ivanov and Terehov 3) have found the r~lationsbip between the niobiu~~~ content and gamma lattice parameter in quenched alloys. Comparing their results wit,h
undertaken by Soviet authors. Ivanov and Virgiliev 61 followed this process by X-ray rli~raGtio~ in uranium alloys cont,aining 23 at 0/O (10.4 w% ye)* 26.3 at % (12.2 wt %f, 30 at 74 (14.3 wt, %f, 40 at % (20.7 wt “/;,f, and 50 at “i;, (27.8 wt %) niobium. In the first alloy, the quenched-in gamma soiid solution undergoes a ho~~oge~~~o~~sde~ompositio~l into the :Xf yz phase mixture on annealing at 500 “C. During this process, the lattice parameter of the gamma component continuously decreases with increasing annealing time. With increased niobium content the decomposition becomes heterogeneous : the starting gamma phase decomposes first into a mixture of alpha ph,ase and an intermediate gamma phase. During this transition the gamma lattice parameter ohanges abruptly. The intermediate gamma decomposes into the equilibrium ct-t-y2 structure, homogeneously in the U-26.3 at1y0 Nb alloy, and heterogeneously in the niobium-richer alloys. Kishinevskii et a1.7) examined the isothermal decomposition of the gamma phase in a U-20 at “4 (8.9 wt %) Nb alloy in the a--cy~ field. They concluded that the decom~ositioi~ of t*he initiaf gamma phase starts by grai~l-boundar.~ precipitations of the alpha phase. The gamma
the lattice parameters given in Soviet papers, the concentration of niobium should amount to 26.5 at ‘lib (12.5 wt y$) in Kishinewkii’s aIIoy and 19.5 and 24.5 at y0 (8.5 and t I .2 wt *&)
phase gradually changes into a metastable intermediate gamma, whose lattice parameter decreases progressively wit,h is~ther~~al treatment. Subsequently the yz phase is heterogeneously nucleated in the presence of the mtermediate phase. After longer annealing the of both gamma phases lattice parameters line intensity of the decrease. The X-ray m~tast‘able phase decreases and that of the y”; phase i~~oreases until equilibrium is attained. When considering the results obtained on different U-Nb alloys one should keep in mind the fact that the exact composition depends on the purity of starting materials, I~a~~~eularly on the aasbon content, which can extra& large
respectively in the nomillal1~ 23 and 26.3 at $$ alloys of Ivanov and Virgiliev. That can probably explain the discrepancy in their findings. 3.
Experimental
For our experiments, a uranium-g.5 wt “/o (2 1.2 at %) niobium alloy was used. The starting materials were uranium of technical purity with about 500 ppm of metallic impurities, and niobium of purity 99.9%. The alloy was produced by argorl-ark melt~ing, followed by vacuum-homogenisation at 950 “C for one week and wat.er-quenching. In order to eliminate the effect of x~iobi~l~l carbide forrn~t,i~~~, the composition was determined not only by chemical analysis but also by electron probe microanalysis and X-ray diffraction. During the experiments, the samples 10 mm in diameter and 3 mm high were reheated for 24 Yt at 9OO “C and then transferred to a tin bath held at the isothermal treating temperature, and finally water-quenched. For longer holding times the samples were treated in a double-stage vacuum furnace, where the upper part was held at 900 “C and bhe lower at the temperature of isothermal treatment. A specimen holder enabled the transfer of a series of samples from the upper to the lower part, of the furnace and successive quenching of the sampfes. After met,allographi~ ~~re~aratioll the q~le~lched under an optical samples were examined microscope and by X-ray diffraction (a diffractometer coupled with a Geiger counter a,nd ohart recorder was used), Attention was mainly directed to the interval between 20=35°-400,
DECQMIPt3SITION
the
where
characteristic
Iines af
alpha
OF
GAMMA
209
PHASE
and
phases appear. The gamma f&&ice parameter was de&rmixled. Using the resr&s of Rogers et aP) we were able to oaTculate the niobium content in the gamma phase on tht3 basis of the Iattfce param&er. gamma
4, 4,1,
Results METALLOGRAPHIC
EXAMINATION
By direct quenching from the gamma region the gamma solid solution is retained at roomtemperature. The isothermal decomposition of the gamma phase in the temperature interval 4.50 to 600 “C begins by nuclea;tion 0-f 8 twophase product at the grain buundaries and inctusions. It spreads gradualtlfy over the whole sample in the form of a Iamell~ aggregate, The lamellae are relatively coarse at higher temperatures (fig. l), their size decreasing with decreasing temperature, At 450 "C the lamellae oan.nat be resolved under the optical microscope,
F&a 3. 24 h at 500°C.
x600
4.2. X-IthY EXAMINATION
Prolonged isothermal. annealing of the trsnsformed samples brings about a change in the microstructure. A new two-phase aggregate is nucleated at various points of the original lamellnr structure, forming a network throughout t.hc sample in the initial stage (fig. 2). The rcesotion proceeds by thickening of the netwurk (fig. 3) nntiH *‘he whole snmplc is transformed to the new structure.
The lattice parameter of the gamma phase retained at room-temperature by quenching corresponds to ~2content uf 9.5 wt Q/0niobium. The cuursc of the isothermal decurn~os~~~o~~ at 450, !%I@, and 550 “C is similar and wilX be described in more detail by taking the ox~mple of samptes treated at 450 “C. After 20 min at 450 “C the X-ray diffraction pattern shows only sharp peaks of the starting yl phase with lattice parameter o+== 3,448 A, After 45 und 90 min the pattern is the same, except that! in the latter, traces of alpha lines are visible. In the sample held 3 h at, 450 “C, beside the ye and a-lines, traces of two other cubic phases are present, with fat&ice param&ers N 3-41 and 3% w. The first is design&d y’
. -t--
Fig. 4.
t
I
I
Diffraction
I
I
I
,
,
,
t
t
t
t
t
pattern of samples held various times at 450 “C. (a) 45 min; (b) 10 h; (c) 20 h; (d) 24 h; (e) 72 h;
(f) 144 h.
DECOMPOSITION
and the second t#he equilibrium 50 wt %
Nb.
OF
GAMMA
211
PHASE:
yz, because it corresponds to y2 phase containing about In
the
further
course
of
TABLE
the
reaction t,he intensity of the yl lines decreases, and that of the y’ lines increases. The yz lines remain weak, while the intensity of the alpha lines continuously increases with time. After 15 h the yi lines completely disappear, and the y’ lines are very strong, They correspond to a lattice parameter ay’=3.407 A. In the to the equinext, stage, a gradual t ran&ion
1
Lat.tice ~aramwters of the gamma phases (A) and the intensity
I 450
lines
of X-ray
Y’
Yl
72
CK
-
-
“C
20 min
3.448 (s)
-
45 min
3.447 (s)
-
90 min
3.448 (9)
’
-
/_
3h 3.446 {s) I 3.41 librium nr+ya structure takes place. The first 6h : 3.447 (8) / 3.41 step of this process is aceompa~lied by 10 h 3.446 (m) 3.403 broadening of the y’ lines. For example, after 15h / / 3.407 20 h the (110) line of the y’ phase becomes j diffuse ‘20h / i 3.407 ’ broad enough to cover the (110) line of the 3~2 24h _ I 3.405 4s h phase. The intensity maximum lies between 72h 3.404 the positions of the y’ and ys lines. This 144 h 3.404 broadening happens in a relatively short time 500 “C , interval. Soon afterwards y’ and progressively 20 min / 3.448 (8) more intense ys lines become visible. The 30 min / 3.446 (6) 3.41 transition proceeds in such a way that the 60 min / 3.417 intensity of y’ lines decreases and ys lines 120min j 3.414 become more intense and sharp. The lattice 340 min 3.413 ! diffuse parameters of the y’ and yz phases do not change. 7h ! diffuse 24h j The amount of alpha phase steadily increases. 48 h 3.415 In all samples the lattice parameters of the 550 “C : alpha phase correspond to those of almost pure 15 min / 3.449 (9) _ uranium. 40 min 3.446 (R) 3.42 In fig. 4 a-f some characteristic diffractograms lh ~3.445 (s) ~ 3.424 are shown. Table 1 gives details of the course 3h _ / 3.426 of reaction. 6h ! 3.425 At 600 and 550 “C the reaction path is almost diffuse 10 h diffuse 24 h identical, only the rate of the decomposition 48h 3.42 : process is changed. The value of the y’ lattice ! paramet.er changes with temperature, but 600 “C remains constant during the course of the lh 3.444 (9) j 3h 3.444 (6) I isothermal reaction. Details can be seen from / 3.445 (s) 9h table 1. 3.447 (6) ’ 24 h At 600 “C the process is different. We did 40 h diffuse not observe lines corresponding to the y’ phase. 137 h After a few hours beside the yl lines broad diffuse peaks appear, which resemble the lines (w) - weak intensity preceding the y’ ++yz transition at lower (m) - medium intensity (sf - strong intensity temperatures. Later, the y2 lines appear and after about 140 h the reaction is accomplished. Using the relationship between lattice para-
--
1w
(w)
3.35
(w)
(w)
(w) (m) fs)
3.347 (w) 3.348 (w)
(m) (m)
_
I
i:i
lines (9)
3.353 (w)
(8)
(m)
j 3.352 (m)
(S)
(m)
3.353 (m)
(w)
3.353 (s)
I 1 (w)
-
(8)
~ b) -
3.35
(w)
(w)
, 3.35
(w)
(m)
(s)
3.35
(w)
(s)
: 3.35
(w)
(m) / (b) ’ fs)
(s)
lines lines
(s)
(m)
3.349 (m)
/ (8)
(m) (s) (s) (m) lines
3.352 (w) 3.353 (w)
i 3.353 (w) ’
lines (w)
’ 3.346 (m)
i
3.349
(w)
/ 3.348 (w) ! 3.350 (w) diffuse lines lines 3.348 (a)
(w) (m) (m)
j j (9) (4 fs) (s)
i (w) / (w) (w)
i (m) / (4 (8)
212
B.
meter and niobium content solutions) we calculated the tration in the y’ phase. The into the phase diagram, fig. 5.
DJURIC:
in gamma solid niobium concenresults are drawn 5.
Discussion
According to the X-ray examination it is possible to conclude that during the transformation of the original yi phase into the equilibrium LX+ ys phase mixture an intermediate y’ phase appears, having a nearly constant composition at a given temperature. The transitions yi+‘x+y’ and y’+~~+ys are continuous in the sense that the amount of the starting phase gradually diminishes and amount of products increases. However, neither is there a continuous decrease of the yi lattice parameter, nor do the lattice parameters of the y’ and ys phases change with time. We suppose that in this respect our results obtained on a diffractometer are more precise than results obtained earlier by film-recording 637). The position of the points which denote the compositions of the y’ phase in the phase diagram (fig. 5) gave us the idea for a possible explanation of the yi + y’ +n transition and
Fig. 5.
Part of the U-Nb
phase diagram
the nature of the y’ phase. The curve which connects these points (the dashed curve in the diagram) may be the continuation of the (01-tyr)/yi phase boundary. According to this view, y’ is metastable yi of composition appropriate to the temperature of anneal, whereas yi in the quenched alloy has the same composition as the alloy itself (vertical line in fig. 5). In this case, the free-energy principles which govern the shape of phase-diagrams can be applied to this boundary of metastable equilibrium. We may suppose that the freeenergy curves for the U-Nb system at the eutectoid temperature, 647 “C, should approximately have the shape given in fig. 6a. (Quite arbitrarily, the common tangent to the OL:,yr and ys phase free energy curves at 647 “C is taken to be horizontal). By lowering the temperature, the free energy curves of the phases which are nearer to the equiatomic composition (yi and ys) rise quicker than the alpha-phase curve, so that at lower temperatures we should have free energy diagrams as given in fig. 6b-d. In these figures the common tangent to the 01 and yi phase curves is also given (dashed line). We suppose that during
with the compositions
of the y’ phase.
DECOMPOSITION
OF
GAMMA
213
PHASE
of the y’ phase during
the decomposition
at
600 “C: assuming that fig. 6b corresponds to 600 “C, the tangent touches the yl free energy curve near the composition of the examined alloy. After the first stage of the reaction, when practically only alpha and y’ phases are present in the sample, further lowering of the free energy
L 5ooc
F
I
0 Fig. 6.
10
20
30
Hypothetical
LO
50
60 wt%Nb
free energy versus composition
curves for the U-Nb
system.
the decomposition of the yl solid solution below the eutectoid temperature, the 01+ yl phase mixture, corresponding to this tangent, is still formed. Of course, being metastable, in the further course of the reaction it transforms to the equilibrium 8 + ys. On decreasing the temperature, the freeenergy curve of the alpha phase sinks more and more with respect to the gamma curves. This explains the experimentally established variation of the composition of the y’ phase with temperature. Assuming this explanation, we can simply describe the yl + OL + y’ reaction as a discontinuous precipitation. The hypothetical free-energy diagrams in fig. 6 are drawn so as to explain the absence
demands the decomposition of the y’ ol+yz phase. phase into the equilibrium According to the free energy diagrams, this should be a typical eutectoidal transformation, y’ +01+ ys. By means of the X-ray diagrams one can follow the gradual decrease of the intensity of y’ lines and increase of the intensity of ys lines without change in lattice parameters. There is an interesting point in this process: this is the transition period preceding the intensive y’ + (x+ y2 transformation. At all temperatures, in a relatively short time interval, broad diffraction lines appear, covering the whole region between the positions of the yl and the yz lines. It is difficult to determine the exact position of these diffuse peaks, but they approximately correspond to a concentration of 30 to 40 wt o/o niobium. A possible explanation for this phenomenon could rely upon Cahn’s 9) theoretical argument that during eutectoid decomposition the equilibrium composition of the product phases can be achieved only in the ideal case when the reaction rate approaches zero. The deviation from the equilibrium composition depends on the position of the free energy curves of the present phases. For example, in our case the composition of the ys phase before reaching the equilibrium niobium content can have all the values which lie to the right of the intersection of the n/y1 tangent with the ys free energy curve in fig. 6. Another possibility could be derived from the work of Strelova et al.ls), who found a pronounced tendency to short-range ordering in the equiatomic U-Nb alloy. This tendency could lower the free energy of the system and allow another, intermediate, state during the decomposition of the gamma phase. Elucidation of these phenomena lies outside the scope of
214
B.
DJURIC:
the present work because it demands other techniques to be applied to alloys of near equiatomic composition. On the basis of the X-ray results it is possible to interpret the metallographic findings. The formation of the primary lamellar structure corresponds to the discontinuous precipitation of this of a+y’ phases. The modification structure is a result of the eutectoid y’ + o(+ ya A similar structural change was reaction. metallographically observed in copper 1~12) and uranium la) alloys: there also a two-phase structure is nucleated in the original pearlite and grows at its expense. According to Spencer and Mack 14) this process seems to be possible in two-phase systems where at least one of the supersaturated. The phases is appreciably secondary reaction then leads to the equilibrium structure. Having in mind our X-ray results, this applies to our case very well. 6.
Conclusions
Our conclusion is that the yl+ #x+ ya transition takes place in two steps. The first is a discontinuous precipitation of a two-phase structure consisting of alpha solid solution and a metastable gamma phase. The second step is a eutectoidal decomposition of the metastable phase into the 0~+ ys phase mixture. During this latter step the equilibrium is not obtained immediately. The appearance of the metastable gamma phase and its composition are determined by the free energy curve of the yl solid solution. Acknowledgements The author is grateful to Prof. A. Mihajlovic
for valuable discussion and comments. Thanks are also due to S. MalEi for help in X-ray work, and P. Saponjic for help in metallography.
References ‘1 A. E. Dwight and M. H. Mueller, Argonne (USA) Report,
ANL-5581
(1957)
K. Tangri and D. K. Chaudhuri, J. Nacl. Mater.
‘) 15 (1965) 278 3) 0. S. Ivanov and G. I. Terehov, splavov (Alloy
nekotoryh
sistem
Const,itution
of
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in Strcenie s uranom i toriem
Some
Systems
(Moscow,
with
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1961) p. 20
“1 W.
D.
Wilkinson,
Uranium
science
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(New
Met,allurgy,
York,
1962)
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p. 1231
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“1 0.
S.
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336 Ivanov
ant1 Yu.
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B.
Kishinevskii,
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S.
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i tugoplavkikh
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Tretyakov,
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i
and
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*) B. A. Rogers, D. F. Atkins, E. J. Manthos and M. E. Kirkpatrick,
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Cahn, Acta
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18
S. V. Strelova, Ya. S. Umansky and 0. S. Ivanov, J. Nucl.
“1
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160
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1229
12) C. VI’. Spencer and D. J. Mack, J. Inst. Metals 82 (1953354)
81
13) G. H. May, J. Nucl. Mater. 7 (1962) 72 ‘4) C. W. Spencer and D. J. Mack, in Decomposition of Austenit,e by Diffusional Processes, Interscience Publishers
(New York,
1962) p. 549