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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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).
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’, Springer-Verlag, Topics in Current Physics Vol.7, ed. K. Binder (1986).
V. Heine and D. Weaire, Sol. St. Physics 24, 249 (1970).
B.L. Gyorffy and G.M. Stocks, Phys. Rev. Lett. 50, 374 (1983).
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.
F. Ducastelle and F. Gautier, J. of Phys. F 6, 2039 (1976).
A. Bieber and F. Gautier, J. of the Phys. Soc. of Jap. 53, 2061 (1984).
P. Turchi, Thesis, University Pierre et Marie Curie, Paris, France (1984), (unpublished).
A. Bieber and F. Gautier, Acta Metall. 34, 2291 (1986) and refs therein.
P. Turchi, M. Sluiter and D. de Fontaine, Phys. Rev. B 36, 3161 (1987).
C. Sigli, M. Kosugi and J.M. Sanchez, Phys. Rev. Lett. 57, 253 (1986).
J.W.D. Connolly and A.R. Williams, Phys. Rev. B 27, 5169 (1983).
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).
R. Haydock, Sol.St. Phys. 35, 215 (1980).
J. Kanamori and Y Kakehashi, J. de Phys. 38, Colloq. C7-274 (1977).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
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
Download citation
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