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Abstract

The classical Lifshitz, Slyozov, and Wagner (LSW) theory has been modified by several authors to take account of a finite volume fraction of particles. Somewhat different dependencies of the coarsening rate constant on the volume fraction are predicted by these modified theories. To resolve these discrepancies, coarsening rates in the Fe–Cu and Co–Cu systems are measured and the interfacial energy was determined from the classical coarsening equation, volume fraction modified equations, and an equation containing additional thermodynamic factors. These values are compared with independently measured interfacial energy values and good agreement is found with volume fraction modified theories containing the thermodynamic factor. The dependency of the rate constant on volume fraction predicted by these theories is also found to be in good agreement with experiment. The volume fraction and thermodynamic factor modified models are applied to the analysis of coarsening data in the literature for the Ni–Al system and an improved γ/γ′-interfacial energy value of 19 mJ m⁻² is obtained.

MST/864

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References

LIFSHITZ

I. M.

and SLYOZOV

v. V.

: J. Phys. Chem. Solids, 1961, 11, 35–50.

WAGNER

: Z. Electrochem., 1961, 65, 581–591.

ARDELL

A. J.

: Acta Metall., 1972, 20, 61–71.

BRAILSFORD

A. D.

and WYNBLATT

: Acta Metall., 1979, 27, 489–497.

DAVIES

C. K. L.

, NASH

, and STEVENS

R. N.

: Acta Metall., 1980, 28, 179–189.

STEVENS

R. N.

: personal communication, Queen Mary College, University of London, 1980.

VOORHEES

P. W.

and GLICKSMAN

M. E.

: Metall. Trans., 1984, 15A, 1081–1088.

MARQUSEE

J. A.

and ROSS

: J. Chem. Phys., 1984, 80, 536–543.

TOKUYAMA

and KAWASAKI

: Physica, 1984, 123A, 386–411.

10.

JAYANTH

C. S.

and NASH

: submitted to J. Mater. Sci.

11.

VOORHEES

P. W.

: J. Stat. Phys., 1985, 38, 231–252.

12.

CHAIX

J. M.

, EUSTATHOPOULOS

, and ALLIBERT

C. H.

: Acta Metall., 1986, 34, 1589–1592.

13.

CHAIX

J. M.

and ALLIBERT

C. H.

: Acta Metall., 1986, 34, 1593–1598.

14.

KANG

C. H.

and YOON

D. N.

: Metall. Trans., 1981, 12A, 65–69.

15.

KANG

S. S.

and YOON

D. N.

: Metall, Trans., 1982, 13A, 1405–1411.

16.

UNDERWOOD

E. E.

: in ‘Quantitative microscopy’, (ed. Dehoff

R. T.

and Rhines

F. N.

), 162-200; 1968, New York, McGraw-Hill.

17.

DARKEN

L. S.

: Trans. AIME, 1948, 175, 184–201.

18.

EJIMA

and KAMEDA

: J. Jpn Inst. Met., 1969, 33, 96–103.

19.

HENDERSON

and YANG

: Trans. AIME, 1961, 221, 72–73.

20.

HOFFMAN

R. E.

, PIKUS

F. W.

, and WARD

R. A.

: J. Met., May 1956, 8, 483–486.

21.

SWALIN

R. A.

and MARTIN

: J. Met., May 1956, 8, 567–572.

22.

ALLEN

B. C.

and KINGERY

w. D.

: Trans. AIME, 1959, 215, 30–37.

23.

MASUDA

, WATANABE

, and HINATA

: J. Jpn Inst. Met., 1970, 34, 65–70.

24.

SERVI

I. S.

and TURNBULL

: Acta Metall., 1966, 14, 161–169.

25.

HARKER

and PARKER

E. R.

: Trans. ASM, 1945, 34, 156–201.

26.

SMITH

C. S.

: Trans. AIME, 1948, 175, 15–51.

27.

EUSTATHOPOULOS

: Int. Met. Rev., 1983, 28, (4), 189–210.

28.

NEMI

and COURTNEY

T. H.

: personal communication, 1983, cited in Ref. 7.

29.

S.S. and YOON

D. N.

: Acta Metall., 1983, 31, 1151–1157.

30.

ARDELL

A. J.

and NICHOLSON

R. B.

: J. Phys. Chem. Solids, 1966, 27, 1793–1804.

31.

KUBASCHEWSKI

, SMITH

J. F.

, and BAILEY

D. M.

: Z. Metallkd., 1977, 68, 495–499.

32.

NISHIZAWA

and ISHIDA

: Bull. Alloy Phase Diagrams, 1984, 5, 161–165.

33.

SINGLETON

M. F.

, MURRAY

, and NASH

: Submitted to Bull. Alloy Phase Diagrams.

Application of thermodynamic factors in analysis of particle coarsening kinetics in Fe–Cu and Co–Cu

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