Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-29T23:44:36.175Z Has data issue: false hasContentIssue false
  • English
  • Français

Coexisting Ordering and Phase Separation in Binary Fcc Alloys

Published online by Cambridge University Press:  21 February 2011

P.L. Rossiter  and
P.J. Lawrence
P.L. Rossiter
Affiliation:
Department of Materials Engineering, Monash University, Clayton, Victoria, 3168, Australia
P.J. Lawrence
Affiliation:
Department of Materials Engineering, Monash University, Clayton, Victoria, 3168, Australia
Get access

Abstract

Consideration of only nearest neighbour pairwise interactions Vij in a binary alloy leads to the classification of the system as ordering (unlike near neighbours) or clustering (like near neighbours), depending upon the sign of Vij However, this simple classification loses meaning when multi-atom correlations, many-body interactions or a longer range interaction are considered. For example, the first nearest neighbour interaction may favour ordering while the second, which may be of comparable magnitude, may favour clustering. By extending the Bragg-Williams model to include second near-neighbour interactions in fcc alloys, it is shown that a miscibility gap may form in the region of the orderdisorder solvus, leading to a complicated sequence of atomicrearrangement upon slow cooling. Despite the well-known failings of the point approximation when applied to fcc alloys, the results are shown to be consistent with the unusual behaviour exhibited by some systems.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 21: Symposium GREECE – Phase Transformations in Solids , 1983 , 481
Copyright
Copyright © Materials Research Society 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Shockley, W., J.Chem.Phys., 6, 130 (1938).Google Scholar
2. Bragg, W.L. and Williams, E.J., Proc.Roy.Soc., A 151, 540 (1935).Google Scholar
3. Williams, E.J., Proc.Roy.Soc., A 152, 231 (1935).Google Scholar
4. de Fontaine, D., Solid St.Physics, 34, 73 (1979).Google Scholar
5. Ino, H., Acta Met., 26, 827 (1978).Google Scholar
6. Richards, M.J. and Cahn, J.W., Acta Met., 19, 1263 (1971).Google Scholar
7. Clapp, P.L. and Moss, S.C., Phys.Rev., 171, 754 (1968).Google Scholar
8. Khachaturyan, A.G., Prog.Mats.Sci., 22, 1 (1978).Google Scholar
9. de Fontaine, D., Acta Met., 23, 553 (1975).Google Scholar
10. Golosov, N.S., Popov, L.E. and Pudan, L.Ya., J.Phys. Chem. Solids, 34,1149 (1973).Google Scholar
11. Sanchez, J.M., deFontaine, D. and Teitler, W., Phys.Rev.B, 26, 1465 (1982).Google Scholar
12. Binder, K., Lebowitz, J.L., Phani, M.K. and Kalos, M.H., Acta Met.,29, 1655(1981).Google Scholar
13. Kubo, H. and Wayman, C.M., Acta Met., 28, 395 (1980).Google Scholar
14. Higgins, J., Nicholson, R.B. and Wilkes, P., Acta Met., 22, 201 (1974).Google Scholar
15. Allen, S.M. and Cahn, J.W., Acta Met., 24, 425 (1976).Google Scholar
16. Kubo, H., Cornelis, I. and Wayman, C.M., Acta Met., 28, 405 (1980).Google Scholar
17. Rossiter, P.L. and Lawrence, P. (to be published).Google Scholar
18. Laughlin, D.E. and Cahn, J.W., Acta Met., 23, 329 (1975).Google Scholar
19. Laughlin, D.E., Acta Met., 24, 53 (1976).Google Scholar
20. Ardell, A.J. and Nicholson, R.B., Acta Met., 14, 1295 (1966).Google Scholar
21. Manec, J., Acta Met., 7, 124 (1959).Google Scholar
22. Ditcher, B. and Schwartz, L.H., Acta Met., 28, 807 (1980).Google Scholar
23. Semenovskaya, S.V., Phys.Stat.Sol.(b), 64, 291 (1974).Google Scholar
24. Hasaka, M., Trans Japan Inst.Metals, 21, 660 (1980).Google Scholar
25. Katsnelson, A.A. and Dazhaev, P.S., Isv.Vuz.Fiz., 4,23 (1970).Google Scholar
26. Iveronova, V.I. and Katsnelson, A.A., Order-Disorder Transformations in alloys (ed. Warlimont)(Berlin: Springer-Verlag), p306 , (1974).Google Scholar
27. Moss, S.C., J.Appl.Phys., 35, 3547 (1964).Google Scholar
28. Sinclair, R., Schneider, K. and Thomas, G., Acta Met., 23, 873 (1975).Google Scholar
29. Bardhan, P., Chen, H. and Cohen, J.B., Phil.Mag., 35, 1653 (1977).Google Scholar
30. Katsnelson, A.A., Alimov, S.A., Dazhaev, P.S., Silinov, V.M. and Stupina, N.N.,Fiz.Metall.Metalloved, 26 987 (1968).Google Scholar