SCIENTIFIC ABSTRACT ALEKSANDROV, L. N. - ALEKSANDROV, L. N.

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• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

180), 18M, 24(2)
AUTHOR: Aleksandrov, L. N. SOV/126-7-2-2/39
TITLE: -IfEe-oretical Analysis of the Influence of Carbon on the
Kinetics of Isothermal Decomposition of Super-cooled
Austenite (Teoreticheskiy analiz vliyaniya ugleroda na
kinetiku izotermicheskogo raspada pereolchlazhdennogo
austenita)
PERIODICAL: Fizika Metallov i Metallovedeniye, 1959, Vol 7, Nr 2,
pp 169-173 (USSR)
ABSTRACT: The analysis,is based on the work of Aleksandrov and
Lyubov (Ref 5) in which the dependence of the time t.
taken for complete transformation, in a definite portion
of the original volume n of austenite of hypo-eutectoid
composition in carbon and alloy steels, on the
concentration of carbon and alloy additions (in the
temperature range T of the first step) is established.
In the general case W + U + 3 2/5
t 15h 1n ~l - n) exp
312 3 RT
8'IYRTDO
Card 1/6

SOV/126-7-2-2/39
Theoretical Analysis of the Influence of Carbon on the Kinetics
of Isothermal Decomposition of Super-cooled Austenite
3 Q - 3U 2/ 5
51-f 3d 12 (,A F.)' -r4 Y2 (1)
8-36A 3/203 exp -RT - + T
0
where 4 F is the change in free energy on- formation of
-a unit VoLme of the new phase; U is the activation
energy of the transformation of the lattice of the
primary component of the solid solution (iron);
d is the atomic diameter of the primary componenti
h is Planck's constant; W is the work expended in the
formation-of nuclei of the new phase having the critical
dimension
W Cyskp i Skp ~ 4 Iye2
kp
(a is the surface tension ih the boundary between the
two phases, 2o
Card 2/6 (kp ~,6 Fo

SOV/126-7-2-2//39
Theoretical Analysis of the Influence of Carbon on the Kinetics
of Isothermal Decomposition of Super-cooled Austenite
is the root o;C the transcendental.equation (Ref..'5)
CXal* c
rav 0
cnaj~ c
~ rav 1264
co and is the concentration of carbon in the
original austenite and in the new phase (ferrite);
nar
a' is the equilibrium concentration in the boundary
rav
between the austenite and the ferrite phases;
Do and Q are diffusion constants (the diffusion
coefficient of carbon in austenite D = D exp (-Q/RT),
where R is the universal gas constant);o
T is the time taken for the growing centre of the new
phase to reach some limiting dimension it
clarifies the nature of the mechanism detd1mining: the
rate of growth - diffusion or transformation. The
Card 3/6 growth of the grains of the new phase at ? P-tr (i.e. at t5 -r)
it is limited by the rate at which carbon is rejected
from the grains of the new phase (ferrite) in the
austenite matrix. If 7 is small as compared with the
total time of transformation, then Eq (1) can be replaced
by 1. the expression .-2/5 2 (W+U) + 3 Q
t 15h 1n (l 2 0 Xp 3 3 (2)
8JYROTO Do
if, however, T is considerably greater than t, then the
growing centres will not reach the value of P and the
time taken for transformation should bc calculaf1l
Card 4/6 according to:

,"OV/126-7-2-2/39
Theoretical Analysis of the Influence of Carbon on the Kinetics
of Isothermal Decomposition of Super-cooled Austenite
t = 3h. RT is (3)
1Yd3,A Fo 27 in (1 exp W _~_ U)
1 ( -1 IT
The magnitude of T has been calculated (Ref 4) by the
formula 0 (.cnar
x%LY c,, )2
D 0 _ cn..P exp ( R (4)
c
FO)2
The results of calculation of -r lead to the conclusion
that Eq (3) can be used in the analysis of.decomposition
of austenite for the majority of alloy steels as well ag
carbon steels at a transformation temperatuxe-below 650 C.
Eq (1) should be used for carboa,,steels at the trans-
formation temperature above 650 a and for low al;oy
steels at a transformation temperature above 700 C but
Card 5/6 it is also possible to use Eq (2). In Fig 1 the continuous
curves 1 and 2 are characteristic of the transformation

Sov/126-7-2-2/39
Theoretical Analysis of the Influence of Carbon on the Kinetics
of Isothermal Decomposition of Super-cooled Austenite
of 5% austenite in such steels according to data
obtained by Kogan and Entin (Ref 9). The dashed curves
11 and 21 correspond to calculations according to formula
(3) - l' for a steel containing 0.05% C 21 for a 0.4%
carbon steel. In carbon steels the abso'lute decrease in
the activation energy of transformation with increase in
carbon content is smallbut the grovith of surface tension
reaches a considerable absolute magnitude. If the kinetics
can be described by Eq (2), then the retarding action of
diffusion processes play a deciding role and the
decomposition of austenite proceeds to completion. The
influence of carbon on the kinetics of isothermal decomposi-
tion of super-cooled austenite in hyper-eutectoid steels
can be analysed by a similar method. There are 1 figure
and 9 referencesl 8 oT which are Soviet, 1 Englisih.
ASSOCIATION: Mariy-skiy pedagogicheskiy Institut (Mari. P~dagogia Insiitute)
SUBMITTED: June 18, 1957
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SOV/126-8-2-10/26
AUTHORS: Aleksandrov, L.N. and Lyubov, B.Ya.
TITLE: Contribution on the Influence of Alloying on the
Kinetics of the Pearlite Transformation
PERIODICAL: Fizika metallov I metallovedeniye, 1959, Vol 8, Nr 2,
pp 216 - 224 (USSR)
ABSTRACT: Considerable differences of opinion exist (R.I. Entin
et al - Refs 1-4) on the reasons for the Influence of
alloying elements on the kinetics of the pearlite trans-
formation in austenite. This transformation, the
authors point out, is important not only in eutectoidal
but also in hyper- and hypo-outectoidal steels since
the excess ferrite (or cementite) liberated in the early
stages of the tran formation leads to the attainment of
the eutectoidal state. To elucidate the influence of
alloying elements the relation between the rate of
formation of-centres of the new phase, the lateral rate
of growth of the pearlite grain, the alloying element
concentration and the transformation temperature were
studied. The authors use available-information (Ya. S.
Cardl/4 Umanskiy et al - Refs 6-8) to discuss these relations.

Contribution on the Influence sov/126-8-2-10/26
Pearlite Transformation of Alloying on the Kinetics of the
They consider the movement of the austenite/pearlite
boundary, ignoring its curvature, obtaining an equation
from which the rate of growth of a pearlite grain in the
eutectoldal transformation of both unalloyed and alloyed
steel; the equation, unli-ke previous ones (Refs 4,9)
has no constants determined from rates found experimentally.
As a first approximation, the authors assume that the
change of activation energy for the y ---I, a iron
transformation on alloying corresponds to the change
of that of the self-diffusion. From their equation the
authors conclude that alloying can reduce the rate of
rearrangement of the iron lattice to such an extent that
it becomes rate-controlling. To calculate the rate of
growth of pearl1te grzid_ns depending on diffusion of carbon
in alloyed austenite, the authors use their previous
(Ref 12) results, allowing for the considerable influence
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SOV/126-8-2-lo/26
Contribution on the Influence of Alloying on the Kinetics of the
Pearlite Transformation
of concentrating strains on diffusion. Calculated values
of pearlite-transformation rate are close to or considerably
higher than experimental for unalloyed or chromium steel,
respectively. A form of the diffusion equation is solved
by the authors in their previous manner (Ref 12) to give
relations for pearl�te-growth rate in the formation of
ferrite-carbide mixture where this is limited by
cUffuslonal redistribution of the alloying element in
austenite. They conclude that this could not be the rate-
controlling factor for chromium, nickel, manganese and some
other alloying elements with a high activation energy of
diffusion, but could be for elements such as molybdenum.
The authors then deduce kinetic equations for the pearlite
transformation for control by iron-lattice rearrangement,
by carbon diffusion and alloying element diffusion. They
calculate kinetic curves for 5090 transformation of austenite
in unalloyed (Figure 1) and alloyed (0.4% C, 8.550' Cr) steel
and consider a steel with 0.50% Cr and 0.4% C; then compare
Card3/4

sov/126-8-2-lo/26
Contribution on the Influence of Alloying on the Kinetics of the
Pearlite Transformation
calculated and experimental results. With over 2.57' Cr,
jo
the pearlite transformation rate is governed by the poly-
morphic transformation. Their results show that the
views of Fr-ye, Stansbury, McElroy (Ref 9) that the
rearrangement mechanism is rate controlling in eutoctoidal
unalloyed steel are incorrect. There are 2 figures and
18 references,- of which *14 are Soviet and 4 English.
ASSOCIATION% Mordovskiy gosudarstvennyy universitet (Mordovskiy
State University)
Institut metallcredeniya i fiziki metallov TsNIIChM
(Institute of Metallurgy and Metal Physics of TsNIIChM)
SUBMITTED: June 14, 1958
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311481(Y-VO0010061005,10 1.0
AUTHOR; Aleksandrov, L. N.
TITLE: On Methods of Investigating Recrystallization
PERIODICAL: Izvestiya vysshikh uchebnykh zavedeniy, Chei-nay!i- metallurgiya,
1960, No. 6, pp. 103-105
TEXT; Recrystallization kinetics Is characterized by the --,~tlvation
energy of re crystallization (U) which can be approximately determir.,-d from, th4~
time of reorystallization beginning or from the time of atta-ln:Lng a ~,6rtaln
state by the alloy studied at a given temperature. This method xr-equires th-2
calculation of tg d- which Is the inclination angle of the tangent to tbe ---ux---e L
of relationship between the logarithm of time and inverse. temperaturA.. Th.:
given method is founded and G. K. L'vov1s equations (Ref. 2) are specified
in this article. An equation describing the dependence between temperatu.re,
time and activation energy of recrystallization can be dcrived frcm the
general theory of phase transformations or from the approx-Imate Avrami
of recrystallization. The equation derived from the general theory of pha.-Fi-
transformations is based on the known expression for a corTain fraction C.."
the re crystallization volume described through the rate of recrystall'.zation,
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On Methods of Investigating Recrystallization S/14,9/60/000/006/005/010
nucleation and the rate of grain growth for the case of their-spherical shape.
Tt appears however, that this method determines not U but Uef, exceeding the true
hLetivation energy of recrystallization by 1/4 of the nucleation work. Data
given in Reference 5 for recrystallization in carbon steel with 0.08% C,
deformed to 8% (activation energy of grain growth U - 68 kcal/mole; activation
energy of nucleation U + W - 76 kcal/mole) justify for a namber of cases, the
identification of U and Uef. For this steel grade the difference between U and
Uef is 2 kcal/mole, An analysis of methods show that the use of Avramfls
equation may yield different data on the activation energy of recrystallization.
This may explain the difference of values obtained for the activation energy of
recrystallization and grain growth in Reference 4 and 7. There are 7 references
4 Soviet and 3 English. I/C
ASSOCIATION: Moskovskiy gosudarstvennyy universitet (Moscow State University)
SUBMITTED: November 13, 1959.
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r-DL)
AUTHOR
-TTLE- Or the 'Theory of Perlite Growth
S/148/EO/000'/Oo~/016/018/xx
A 16 I/AC~-~'19
PERIODICAL% izvestlya vysshl.kb uohebPykh zavedeniy.. - Chan-iaya metallurgiya,
1960, No. 8, pp. 11o - n4
TEXT: The available data of 29 works (Refs. I - 29), including seven in
which the author participated, are briefly reviewed and analyzed; omissions made
by different authors in their investigationa'are pointed Out, The author consid-
4rs that the solution of the problem by B.Ya. Lyuboy 'Ref. ?1) is nearer to the
true mechanism of perlite growth than that obtained by ". U3dek (Ref. 4) and
Brandt (Ref. 20). A further development of 1-yubov's method is a theory t&kJ-ng
into account the 3oncentration stresses. Calculation data of works (Refs. 20, -2L
28) and of experimental results of, works (Re-fs. 22, 23) are f?ompared. A formula
is suggested for the approximate calculation of the diff'Usion acti-,ration energy
(q) calculated for carbon steel, q = 1 kctal/mole (W= 0.2; C = 0.03 alloomic parts.
The author considers ff"urther perlite growth studies necessarT to clar�-4'N, by t1heo-
retical analysis the causes of the Inhibiting effect of molybdenum, chrome and
tungsten. The conoentration stresses forming during peflite growth in alloy steel
Card 1/2
jc~

S/14~/00/000/00/016/018/Xx
On the Theory of Perlite Growth A161/AO29
are explained by heterogeneity of the carbon concentration in steel, as well as
,meven distritpation of the alloy-'ng elemment. There is 1 figt-re and 29 references.-
20 So7le~, 7 aiglish, 1 Polish and I noi. identiffled,
ASSOCIATION; Mordovskiy gosudaratvemnyy untver,,,1!,c-,f, (Mordva Univeraity)
SUBMUTED.- October 21, 1959
Card 212

0 J~S-D/ 11S_3
AUTHOR: Aleksandrov, L. N.
86232
S/032/60/026/008/030/046/XX
B02O/B052
TITLE: Radiometric Determination of Thorium in Tungsten and Molyb-
denum
PERIODICAL: Zavodskaya laboratoriya, 1960, Vol. 26, No. 8P PP. 975-977
TEXT: The above method is based on the measurement of the natural a-ra-
diation intensity of the isotope 90 Th232 for -i7hich no standards of specipl
samples are necessary. The thorium content in the different stages during
the preparation of products from tungsten and molybdenun can thus be easi-
ly determined. Fig. 1 gives the block diagram of the retiording device.
The sample was fixed at a certain distance from the scrtien and parallel
to it. A standard plate coated with ZnS and activated with silver, was
used as screen. Screen and photoelectric multiplier of the-type T)3y-lg
(FEU-19) were installed in the lighttight casing of the high-voltage
rectifier type "Orekh". Noise impulses were eliminated by the method
of amplitude selection by using a discriminator or by changing the anode
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86232
Radiometrio Determination of Thorium in S/032/60/026/008/030/046/XX
Tungsten and Molybdenum B02O/BO52
voltage of the FEU, and the amplification coefficient of the amplifier.
The impulses were recorded by the device fIC-10000 (PS-10000), or the E5-2
(B-2) radiometer with an a-scintillation chamber of the type n -349-2
(P-349-2). The width of the active part of the sample X has to be determin-
ed for each direction 9 in dependence on the distance R of the sample from
the screen (Fig. 2). The examples given in the table are the results of
the thorium determination in tungsten wire of different types, batches,
and diameters, and the results of chemical analysis. They show that the
maximum error in the thorium determination with a sample length of
200 mm in wires more than 0.15 mm thick, is 5%. This warrants an accuracy
of thorium determination of up to 0.05~6. The results can be rendered more
exact by using longer samples with diameters of 10 - 15 jum and by extend-
ing the time of impulse counting. The thorium determinat:ion by the method
suggested here, takes 5 - 10 minutes. The sample is consorved, and the
change of the thorium content during annealing and sintering can be con-
trolled. There are 2 figures, 1 table, and 2 Soviet refei4ences.
ASSOCIATION: Gosudarstvennyy nauchno-issledovatel'skiy institut istochni-
kov sveta (State Scientific Research Instil~ute of Light
Sources)
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ALEKSANDROV, L.N.
Theory of the recrystallization of metals and alloys. Izvevysouchebo
zave; fiz. no.2:77-84 161. (MIRA 14:7)
1. Mordovskiy gosuniversitet.
(~~tal crystals-Growth)

ALEKSANDROV, L.N.
Kinetics of the diffusive decomposition of oversatue-ated sol-id
solutions, Izv.vys.ucheb*zavej fize n0-4:102--109 i61. Mu 14:10)
1. bbrdovskiy gosudarstvennyy universitat,
(Diffusion) (Solutions, Solid)

S/137/62/000/012/034/085
A006/A101
AUTHOR: Aleks'androv. LN.-
TITLE: On the problem of the effect of admixtures upon the activation
energy of recrystallization in tungsten and molybdenum
PERIODICAL: Referativnyy. zhurnal, Metal urgiya, no. 12, 1962, 54,
abstract 12221 ClUct- --trdovsk. un-t", 1961, no. 18,
3 - 13)
TEXT: On the basis of literature data, the conclusion is drawn that the
magnitude of recry6tallization activation energy may sel-tre as an indicator of
the content of impurities and, consequently of the quality of W and Mo wires.
According to data, given in literature sources- the author calculates the mag-
nitudes of recrystallization activation energy of W and Mo wireswith a-different
content of impurities and at different compressi6n degrees. There are 19 referen-
ceIs. P. Zubarev
(Abstracter's note: Complete translation]*
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Al
StatiV a elf difftsion"In so2lds vith alpl ~a

S/07o/6i/oo6/ooi/on/oii
E032/E514
AUTHORS: Lyubov. B.Ya. and Aleksandrov, L.N.
TITLE.- First Symposium on the Growing of Cryatals of Various
Metals
PERIODICALt Kristallografiya, 1961, Vol.6, No.1, PP-150-151
TEXT: The Scientific Committee of the Academv of Sciences
USSR concerned with the formation of crystals is currently organiz-
ing a series of sections dealing with the more important aspects of
the problem. So far, the following sections have been set upt
growth of crystals of metals, semiconductors,and piezo and ferro-
electrics. A further section is concerned with the theory of the
growing of crystals. It is intended to promote regular symposia on
these topics. The present note reports a sum ary of the proceed-
ings of the first symposium organized by the above conunittee. The
symposium took place on October 24-26, 1960 at the Iniititut
Kristallografii AN SSSR (Institute of Crvatallography, AS, USSR),
MOSCOW. Fifty representatives of the institutes'oi the AS,USSR,
scientific research establishments and institutes of higher
education in Moscow, Leningrad, Kiyev, Sverdlovsk, Khar1kov and
others took part. - Eleven papers and a number of other communications
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5/070/61/006/001/011/011
First Symposium on the Growing ..... E032/E5i4
were read. The symposium was opened by N~ N. Sheftal'(deputy
-chairman of the above scientific committeQ and by the chairman of
the se:~tion concerned with the growing of crystals of metals,
P.,._ja___j,yub~oy. The following papers were among those! read:
Academician A. V. Shubnikov~spoke on investigations of' the crystall-
ization process of ammonium chloride in a drop. V. T. Borisov and
A. 1. Dukhin (Institut metallovedeniya i fiziki metallov TsNIIChM,
In5titute of Metal Science and Physics of Metals of the Central
Sclentific Research Institute of Ferrous Metallurgy) reported on
studies of the kinetics of the growth of crystals of cadmium.
Ye. 0. Esin and A. A. Kralina reported on the growth end the sub-
structure of tin wh:Lch was Investigated at the Institut f'iziki metallov
AN SSSR (Institute.of.Physics of Metals, AS,USS,R) at Sverdlovsk.
L. Ye. Ovsiyenko, Ye. 1. Sosnina,and 1. 1. Usimchuk, Instiluut
metallofiziki AN UkrSSR (Institute of Metals Physics, AS, UkrSSR)
discussed the conditions under which aluminium crystals are grown
and the effect of these conditions on the degree of perfection of
these crystals. They also considered effects such as diffusion and
creep in these crystals. A. I. Bykhovskiy, L. N. Larikov and
D. Ye. '.~vsiXenko discussed the connection between the rate of
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S/07o/6i/oo6/ool/oii/oii
First Symposium on the Growing E032/E514
crystallization during the a~2p transformation Of PELradichloro-
benezene and the super-coo *ling on the separation boundary between
the phases. Further discussion of this work was given by.-
A. A. Chernov (Institute of Crystallography,AS, USSR). V. G. Borisov
spoke on the simultaneous solution of the thermal conductivity and
diffusion problems in the case of the crystallization of a binary
alloy in the absence of diffusion super-cooling. V. A.Timofeyeva,
T_
L. D. Prokhorov, A. I. Malyshe and N. A. Anisimov Institute of
Crystallograf>1fy9,AS,USSR) reported on single crystals of copper,
aluminium and nickel having a weight greater than 10 kS,, which they
had grown in a special high temperature furnace. The apparatus can
be used to grow pure single crystals of any metals with melting
points below 16000C. L. M. Soyfer and V. 1. Startsev (IREA,
Khar1kov) discussed the zone methoas of purificdtion and growing
of high-purity single crystals of antimony and bismuth.
N. A. Brilliantov and L. S. ~tarostina (Institute of Crystallography)
reported on a similar method used to grow molybdenum crystals.
V. F. Miuskov (Institute of Crystallography, AS, USSR), read a paper
on the growing of single crystals of molybdenum in vacuum, using
high heating rates. Direct heating of the specimen by an electric
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S/070/61/006/001/011/011
First Symposium on the Growing .... E032/E514
current was used. L. N. Aleksan -0 (Saransk) reported on the
kinetic parameters 'i~-Ffo'!G-ati63 if- single crystals of tungsten.
A film on the growing of crystals was shown by Academician
A. V.-Shubnikov and V. F. Parvov. The next symposium is planned
ior 19b1.
Card 4/4

\-.ALEKSANDROVt L.N.
Thermodynamics of isothermal transformationd in three,-co%kDonent
systems. Piz. met. i metalloved 11 no.3:1+35-442 Mr 161.
(MIRA 14:3)
1. Mordovskiy gosudarstvannyy univerqitet.
(Alloys-Thermal propertieo)(Phase rule and equilbrium)

S/126/61/012/002/009/019
6 E202/E435
AUTHORSt Aleksandrov, L*N. and Mordyuk, V.S.
TITLEs a kinetics of ihe recrystallization o'! tungsten
PERIODICAW Fisika metallov i metallovedeniye, 196i, Vol.12, No.2,
pp.249-254
TEM The kinetics of the recrystallization of thoriated and
pure tungsten wires of 50 to 200 p diameter were studied in terms
of the changes in their mechanical properties and microstructure
in relation to the annealing temperature and ageing. Heating was
carried out directly by passing an electric current through the
wires and the temperature of annealing ranged from 1300 to 26oo*c
with an accuracy of + 20'C. The temperature was measured by
means of a milliammeTer calibrated by an optical pyrometer.
Samples were subjected to various durations of annealing from
20 see to 30 min. Since it was impossible to calculate the rate
of growth of grain@ in the tungsten wire during the
recrystallimation from direct measurement, the kinetics of
recrystallization were studied indirectly by finding the change in
the tensile strength at ambient temperature in relation to the
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16559
The kinetics of the see
S/126/61/012/1)02/009/019
E202/E435
temperature and duration of annealing, and also by i3tudying the
microstructure and X-ray diffraction, Values of tansile strength
were plotted vs. temperature of annealing for each duration of
annealing and the resulting curves showed two characteristic
regions - the first one corresponding to the primary
recrystallimation due to the heat treatment and the second one due
to the coalescing recrystallization. It was also found that the
relation between the log * of the time of completion of the
primary recrystallization and the temperature of annealing was in
each case linear. The latter plots were used to evaluate the
activation energy of the primary recrystallization Us and the
coefficient A, which in turn were used to solve the equation for
the time of rtcrystallization t, vizt
t Sts A exp ( )
RT
Evaluated in this manner, coefficients A for the 50 IL dia wires
were in good agreement with the corresponding valules obtained on
the basis of the general theory of phase transition assuming three.-
dimehsional growth of the rearystallization centres. On the other
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-06559 S/126/61/012/002/009/019
The kinetics of the ... E202/E435
handq values of A for the 250 Ii dia wires were in better
agreement with a theoretical value based on the linear growth of
the recrystallization centres, rather than the three-dimensional
one. The curves of thoriated tungsten wires did not exhibit the
characteristic displacement, from which it was concluded that the
energy of activation of recrystallization in the region is
infinitely large. Estimation of the beginning of the
recrystallization according to the m~-thod of change in the
me,~-hanical properties gave lower temperature values than the
!:uatomary estimation by inspection of 'Elie microstructure. In the
opinion of the authors, the former mothod is capable of detr-cting
the presence of grains which are not vieible by inspection !~f the
microstructure. The study of the co~ilnscing (tiltimate)
re,::rystallization was not attempted. Acknowledgments are
expressed to Yu.M.Aleksandrova and ll,,V.Pc)tal)nv for assistance.
There are 6 figures, I table and 7 "eferenc es. 4 Soviet and
3 non-Soviet. The three reference. to English language
publications read as followsi Burke J.E., Ttirnbull A.D.
Progr. Metal. Phys., 1952, 3, p.220; Davis C.L. Metallurgia,
1958, 58, No.349, 228; Robinson C.S. J.Appl. Phys., 1942~ 13,
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�65,qq S/1"6/61/012/00-"/009/019
The kinetics of the E202/E435
No.io, 627.
ASSOCIATION2 Nauchno-issiedovatellakiy institut istocimikov sveta
(Scientific Research lnstilut,~- for Light Sources)
SUBMITTEDa May 17, 1960 (initially)
January 4, 1961 (after revision)
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AUTHORS:
TITLE:
27485
S/053/61/075/001/003/003
B125/3108
Aleksandrov, L. Not and Lyubov, B. Ya.
Theoretical analysis of the kinetics of decomposition of
supersaturated solid solutions
PERIODICAL: Uspekhi fizicheskikh nauk, v- 75, no. 1, 1961, 117 - 150
TEXT: The present theoretical. survey is based on experimental investigaticna
by G. V. Kurdyumov (Problemy metallovedeniya i fiz. metallov, M.,,
Metallurgizdat,,Sb. za 1949, 1951, 1952, 1955t 19.58 99.), So So Shteynberg
(Metallovedeniye:, to I., M., Metallurgizdat, 1952), So To Konobeyevskiy,
and their teams. In ono-component systems (e. go, in metals with poly-
morphism), regions with the structure of a new modification appear after
cooling below the stability range of the high-temperature phase. These
regions increase in size for thermodynamical reasons, and finally take
possession of the whole volume of the system. Per unit time and unit
volume, I = (a/v 0) (RT/h) exp (-u/kT) exp (-w/kT) (13), "germs" are trans-
2
formed into centers, w = (1/3)aSor , SCr = 4119cr,qc.r ~2a/Wo.l Here,
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Theoretical analysis of the kinetics... B125/B108
the regions smaller and larger than some critical dimensions are called
-3 11germs" and "centers", respectively. a is the surface tension at the
Phase boundary, AF0 - the variation of the free energy corresponding to the
production of one unit volume of new phase, Q__ - the radius of the
critical germ, h - Planck's constant, vo - the specific volume, u - the
activation energy of the transition of atoms through the boundary between
the two phases. a, (1 /,a 410), is a structural parameter. For
JAFO 0 - ~-cr)j,