Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-19T06:46:42.770Z Has data issue: false hasContentIssue false
  • English
  • Français

Electronic Energy and Short-Range Order in Binary Alloys

Published online by Cambridge University Press:  15 February 2011

Mark O. Robbins  and
L.M. Falicov
Mark O. Robbins
Affiliation:
Department of Physics, University of California, Berkeley, California 94720
L.M. Falicov
Affiliation:
Department of Physics, University of California, Berkeley, California 94720
Get access

Abstract

An electronic theory for the total energy of binary alloys is presented. It treats the entire range of concentration and short-range order. The method in not ab initio, but requires only information about the pure elemental constituents of the alloy. Results for two very different metal series, monovalent metals and 4-d transition metals, are calculated and compared to experiment and other models. The model calculation allows us to examine the physical basis for experimental trends.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 19: Symposium E – Alloy Phase Diagrams , 1982 , 53
Copyright
Copyright © Materials Research Society 1983

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. Williams, A.R., Gelatt, C.D. Jr. and Moruzzi, V.L., Phys. Rev. Lett. 44, 429 (1980).CrossRefGoogle Scholar
2. Gautier, F., van der Rest, J. and Brouers, F., J. Phys. F 5, 1884 (1975).Google Scholar
3. van der Rest, J., Gautier, F. and Brouers, F., J. Phys. F 5, 2283 (1975).Google Scholar
4. Pettifor, D.G., Phys. Rev. Lett. 42, 846 (1979).Google Scholar
5. See however, Bieber, A., Gautier, F., Tréglia, G. and Ducastelle, F., Solid State Commun. 39, 149 (1981).CrossRefGoogle Scholar
6. Miedema, A.R., de Châtel, P.F. and de Boer, F.R., Physica (Utrecht) 100B, 1 (1980).Google Scholar
7. Brewer, L. and Lamoreaux, R.H., Atomic Energy Review, Special Issue No. 7 (International Atomic Energy Agency, Vienna, 1980) secs. I and II.Google Scholar
8. Machlin, E.S. in Theory of Alloy Phase Formation, Bennett, L.H. ed. (The Metallurgical Society of AIME, Warrendale, Penn., 1980) pp. 127–193.Google Scholar
9. Kittler, R.C. and Falicov, L.M., Phys. Rev. B 18, 2506 (1978); 19, 527 (1979).Google Scholar
10. Robbins, M.O. and Falicov, L.M., Phys. Rev. B 25, 2343 (1982).Google Scholar
11. Elliot, R.J., Krumhausl, J.A. and Leath, P.L., Rev. Mod. Phys. 46, 465 (1974).Google Scholar
12. Charge transfer fluctuations are generally small: D.D. Ling and C.D. Gelatt, Jr., IBM, Yorktown Heights, NY, to be published.Google Scholar
13. Williams, A.R., IBM, Yorktown Heights, NY, private communication.Google Scholar
14. Bethe, H.A., Proc. Roy. Soc. A 150, 552 (1935).Google Scholar
15. Haydock, R. in Solid State Physics, Ehrenreich, H., Seitz, F. and Turnbull, D. eds. (Academic, New York, 1980) 35, 216 (1980).Google Scholar
16. Schwartz, L.M., Phys. Rev. B 7, 4425 (1973).CrossRefGoogle Scholar
17. Brouers, F., Holzhey, Ch. and Franz, J. in Excitations in Disordered Systems, Thorpe, M.F. ed. (Plenum Press, New York, 1982) pp. 263–285.Google Scholar
18. Moore, C.E., Atomic Energy Levels (U.S. Government Printing Office, Washington, D.C.) Vol. I (1949), Vol. II (1971) and Vol. III (1958).Google Scholar
19. Ham, F.S., Phys. Rev. 128, 82 (1962).CrossRefGoogle Scholar
20. Burdick, G.A., Phys. Rev. 129, 138 (1963).Google Scholar
21. Christensen, N.E., Phys. Stat. Sol. (b) 54, 551 (1972).Google Scholar
22. Christensen, N.E. and Seraphin, B.O., Phys. Rev. B 4, 3321 (1971).Google Scholar
23. Moruzzi, V.L., Janak, J.F. and Williams, A.R., Calculated Electronic Properties of Metals (Pergamon Press Inc., Elmsford, NY, 1978).Google Scholar
24. Andersen, O.K., Physica (Utrecht) 91B, 317 (1977).Google Scholar
25. Slater, J.C. and Koster, G.F., Phys. Rev. 94, 1498 (1954).Google Scholar
26. Ho, K.M., Louie, S.G., Chelikowsky, J.R. and Cohen, M.L., Phys. Rev. B 15, 1755 (1977).Google Scholar
27. Harrison, W.A. and Froyen, S., Phys. Rev. B 21, 3214 (1980).Google Scholar
28. Pickett, W.E. and Allen, P.B., Physics Letters 48A, 91 (1974).Google Scholar
29. Singhal, S.C. and Worrell, W.L., Metall, Trans. 4, 1125 (1973).Google Scholar
30. Myles, K.M., Trans. Metall. Soc. AIME 242, 1523 (1968).Google Scholar
31. Moffatt, W.G. ed., Handbook of Binary Phase Diagrams, (Business Growth Services, General Electric Co., Schenectady, NY 1977).Google Scholar
32. Hansen, M., Constitution of Binary Alloys (McGraw-Hill, New York, 1958);Google Scholar
32a Elliot, R.P., Constitution of Binary Alloys McGraw-Hill, New York, First Supplement (1965);Google Scholar
32b Shunk, F.A., Constitution of Binary Alloys McGraw-Hill, New York, Second Supplement (1969).Google Scholar