Advertisement

Concentration Dependent Effective Cluster Interactions in Substitutional Alloys

  • A. Gonis
  • P. E. A. Turchi
  • X.-G. Zhang
  • G. M. Stocks
  • D. M. Nicholson
  • W. H. Butler

Abstract

In attempting to understand the thermodynamic properties of substitutional alloys, and specifically to construct alloy phase diagrams, it is natural to seek recourse in the vast body of knowledge acquired with respect to magnetic (spin) systems, in particular the 3D Ising model.

Keywords

Ising Model Alloy Phase Diagram Effective Interaction Coherent Potential Approximation Substitutional Alloy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. Kubo, “Statistical Mechanics”, North Holland, Amsterdam (1965).Google Scholar
  2. 2.
    V. Heine and D. Weaire, Sol. St. Physics 24:249 (1970).CrossRefGoogle Scholar
  3. 3.
    J.W.D. Connolly and A.R. Williams, Phys. Rev. B, 27:5169 (1983).CrossRefGoogle Scholar
  4. 4.
    F. Ducastelle and F. Gautier, J. of Phys. F, 6:2039 (1976).CrossRefGoogle Scholar
  5. 5.
    A. Gonis, X.-G. Zhang, A.J. Freeman, P.E.A. Turchi, G.M. Stocks, and D.M. Nicholson, Phys. Rev. B, 36:4630 (1987), and references therein. See also, P.E.A. Turchi, A. Gonis, X.-G. Zhang, and G.M. Stocks, Proceedings of NATO/ASI on “Alloy Phase Stability”, A. Gonis and G.M. Stocks, eds., KLUWER Publications, (1989).CrossRefGoogle Scholar
  6. 6.
    B.L. Gyorffy and G.M. Stocks, Phys. Rev. Lett. 50:374 (1983).CrossRefGoogle Scholar
  7. 7.
    W. Schweika, private communication.Google Scholar
  8. 8.
    R. Kikuchi, Phys. Rev. 81:998 (1951); J.M. Sanchez, F. Ducastelle and D. Gratias, Physica, 128A:334 (1984); D. de Fontaine, Sol. St. Physics, 34:73 (1979).Google Scholar
  9. 9.
    K. Binder, J.L. Lebowitz, M.H. Phani, and M.H. Kalos, Acta Metall., 29:1655 (1981); K. Binder, in: “Monte Carlo Methods in Statistical Physics”, Topics in Current Physics, Vol. 7, K. Binder, ed., Springer-Verlag (1986).CrossRefGoogle Scholar
  10. 10.
    A.A. Mbaye, L.G. Ferreira, and A. Zunger, Phys. Rev. Lett. 58:49 (1987); K. Terakura, T. Oguchi, T. Mohri, and K. Watanabe, Phys. Rev. B, 35:2169 (1987); T. Mohri, K. Terakura, T. Oguchi, and K. Watanabe, submitted to Acta Metall.; A.E. Carlsson, Phys. Rev. B, 35:4858 (1987).CrossRefGoogle Scholar
  11. 11.
    M. Sluiter and P. Turchi, NATO/ASI summer institute on “Alloy Phase Stability”, G.M. Stock and A. Gonis, eds., Maleme, Greece, June 14–27, 1987, KLUWER Publications (1989).Google Scholar
  12. 12.
    P. Soven, Phys. Rev. 156:809 (1967).CrossRefGoogle Scholar
  13. 13.
    B. Velicky, S. Kirkpatrick, and H. Ehrenreich, Phys. Rev. 175:747 (1969).CrossRefGoogle Scholar
  14. 14.
    B.L. Györffy and G.M. Stocks, in: “Electrons in Disordered Metals and Metallic Surfaces”, P. Phariseau, B.L. Györffy, and L. Scheire, eds., Plenum, New York, p. 89 (1978); G.M. Stocks and H. Winter, in: “Electronic Structure of Complex Systems”, P. Phariseau and W.M. Temmerman, eds., Plenum, New York, p. 463 (1985); J.S. Faulkner, in: “Progress in Materials Science”, J.W. Christian, P. Hassen, and T.B. Massalski, eds., Pergammon, New York, Vols. 1 and 2 (1982).Google Scholar
  15. 15.
    J. Korringa, Physica, 13:392 (1947).CrossRefGoogle Scholar
  16. 16.
    W. Kohn and Rostoker, Phys. Rev. 94:1111 (1954).CrossRefGoogle Scholar
  17. 17.
    B.L. Györffy and M.J. Stott, in: “Band Structure Spectroscopy of Metals and Alloys”, D.J. Fabian and L.M. Watson, eds., Academic, New York, p. 385 (1973).Google Scholar
  18. 18.
    J.S. Faulkner and G.M. Stocks, Phys. Rev. B21:3222 (1980).Google Scholar
  19. 19.
    W.H. Butler, Phys. Rev. B31:3260 (1980).Google Scholar
  20. 20.
    D.D. Johnson, D.M. Nicholson, F.J. Pinski, B.L. Gyorffy, and G.M. Stocks, Phys. Rev. Lett. 56:2088 (1986).CrossRefGoogle Scholar
  21. 21.
    B.L. Györffy and G.M. Stocks, J. de Phys. (Paris), Colloq. 35:C4–75 (1974).Google Scholar
  22. 22.
    P.E.A. Turchi, G.M. Stocks, W.H. Butler, D.M. Nicholson, and A. Gonis, Phys. Rev. B, 37:5982 (1988).CrossRefGoogle Scholar
  23. 23.
    J. Kanamori and Y. Kakehashi, J. de Phys. Collog. 38:C7–274 (1977).Google Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • A. Gonis
    • 1
  • P. E. A. Turchi
    • 1
  • X.-G. Zhang
    • 2
  • G. M. Stocks
    • 3
  • D. M. Nicholson
    • 3
  • W. H. Butler
    • 3
  1. 1.Department of Chemistry and Materials ScienceLawrence Livermore National LabLivermoreUSA
  2. 2.Department of Physics and AstronomyNorthwestern UniversityEvanstonUSA
  3. 3.Metals and Ceramics DivisionOak Ridge National LaboratoryOak RidgeUSA

Personalised recommendations