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Electronic Theory of Phase Stability in Substitutional Alloys: A Comparison Between the Connolly-Williams Scheme and the Generalized Perturbation Method

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Alloy Phase Stability

Part of the book series: NATO ASI Series ((NSSE,volume 163))

Abstract

A detailed analysis of the tendencies toward ordering and phase separation and more generally the stability properties at T ≠ 0 K in substitutional alloys is carried out using the presciption proposed by Connolly and Williams and the Generalized Perturbation Method. This enables a discussion of the viability and the basic assumptions of both approaches. The effective cluster interactions which enter such a study are derived from a simple but realistic tight binding model.

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References

  1. R. Kikuchi, Phys. Rev. 81, 998 (1951).

    MathSciNet  ADS  Google Scholar 

  2. J.M. Sanchez, F. Ducastelle and D. Gratias, Physica 128A, 334 (1984).

    MathSciNet  ADS  Google Scholar 

  3. D. de Fontaine, Sol. St. Physics 34, 73 (1979).

    Article  Google Scholar 

  4. K. Binder, J.L. Lebowitz, M.H. Phani and M.H. Kalos, Acta Metall. 29, 1655 (1981).

    Article  Google Scholar 

  5. K. Binder in ‘Monte Carlo Methods in Statistical Physics’, Springer-Verlag, Topics in Current Physics Vol.7, ed. K. Binder (1986).

    Google Scholar 

  6. V. Heine and D. Weaire, Sol. St. Physics 24, 249 (1970).

    Article  Google Scholar 

  7. B.L. Gyorffy and G.M. Stocks, Phys. Rev. Lett. 50, 374 (1983).

    Article  ADS  Google Scholar 

  8. A. Gonis, X.G. Zhang, A.J. Freeman, P. Turchi, G.M. Stocks and D.M. Nicholson, submitted to Phys.Rev. B.,and refs. therein.

    Google Scholar 

  9. F. Ducastelle and F. Gautier, J. of Phys. F 6, 2039 (1976).

    Article  ADS  Google Scholar 

  10. A. Bieber and F. Gautier, J. of the Phys. Soc. of Jap. 53, 2061 (1984).

    Article  ADS  Google Scholar 

  11. P. Turchi, Thesis, University Pierre et Marie Curie, Paris, France (1984), (unpublished).

    Google Scholar 

  12. A. Bieber and F. Gautier, Acta Metall. 34, 2291 (1986) and refs therein.

    Article  Google Scholar 

  13. P. Turchi, M. Sluiter and D. de Fontaine, Phys. Rev. B 36, 3161 (1987).

    Article  ADS  Google Scholar 

  14. C. Sigli, M. Kosugi and J.M. Sanchez, Phys. Rev. Lett. 57, 253 (1986).

    Article  ADS  Google Scholar 

  15. J.W.D. Connolly and A.R. Williams, Phys. Rev. B 27, 5169 (1983).

    Article  ADS  Google Scholar 

  16. A.A. Mbaye, L.G. Ferreira and A. Zunger, Phys. Rev. Lett. 58, 49 (1987).

    Article  ADS  Google Scholar 

  17. K. Terakura, T. Oguchi, T. Mohri and K. Watanabe, Phys. Rev. B 35, 2169 (1987).

    Article  ADS  Google Scholar 

  18. T. Mohri, K. Terakura, T. Oguchi and K. Watanabe, submitted to Acta Metall. A.E. Carlsson, Phys. Rev. B 35, 4858 (1987).

    Article  Google Scholar 

  19. R. Haydock, Sol.St. Phys. 35, 215 (1980).

    Article  Google Scholar 

  20. J. Kanamori and Y Kakehashi, J. de Phys. 38, Colloq. C7-274 (1977).

    Google Scholar 

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© 1989 Kluwer Academic Publishers

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Sluiter, M., Turchi, P. (1989). Electronic Theory of Phase Stability in Substitutional Alloys: A Comparison Between the Connolly-Williams Scheme and the Generalized Perturbation Method. In: Stocks, G.M., Gonis, A. (eds) Alloy Phase Stability. NATO ASI Series, vol 163. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0915-1_32

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  • DOI: https://doi.org/10.1007/978-94-009-0915-1_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6901-4

  • Online ISBN: 978-94-009-0915-1

  • eBook Packages: Springer Book Archive

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