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Phase Stability of the Sigma Phase in Fe-Cr Based Alloys

Published online by Cambridge University Press:  10 February 2011

Marcel Il. F
Affiliation:
Institute for Materials Research, Tohoku University., Sendai 980-77, Japan
Sluiter. Koivan Esfurjani
Affiliation:
Institute for Materials Research, Tohoku University., Sendai 980-77, Japan
Yoshiyuki Kawazoe
Affiliation:
Institute for Materials Research, Tohoku University., Sendai 980-77, Japan
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Abstract

The FeCr sigma phase is a good example of a complex structure: it. has 30 atoms in the unit cell and 5 inequivalent lattice sites, and it belongs to the class of tetrahedrally close packed structures, also known as Frank-Kaspar structures. So far. such structures have riot been treated within a first-principles statistical thermodynamics framework. It will be shown that dtlme to advances in algorithms and hardware important features of the phase stability of complex phases can be computed. The factors which affect the stability of the sigma phase have been studied using carefully selected supercells for electronic total energy calculations. cluster variation calc:ulations in the tet.rahedron approximation were performed to evaluate the effect of partial disorder and of finite temperature. The preferred occupancy of the 5 lattice sites has been investigated and is compared with experimental determinations.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

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References

1. Stocks, G.M., Nicholson, D.M., Shelton, W.A.. Gyorffy, B.L., Pinski, F.J., Johnson, D.D., Staunton, J.B., Ginatempo, B., Turchi, P.E.A. and Sluiter, M., “First-Principles Theory of Disordered Alloys and Alloy Phase Stability”, in “Statics and Dynamics of Alloy Phase Transformations”, eds. Turchi, P.E.A. and Gonis, A., NATO ASI Series B: Physics - Vol.319 (Plenum, NY, 1994) p. 305.Google Scholar
2. Sluiter, M., Fontaine, D. de, Guo, X. Q., Podloucky, R. and Freeman, A. J., Phys. Rev B 42, 10460 (1990).Google Scholar
3. Lu, Z. W., Wei, S.-H., Zunger, Alex, Frota-Pessoa, S., and Ferreira, L. G., Phys. Rev. B 44, 512 (1991).Google Scholar
4. Daams, J.L.C., Villars, P. and Vucht, J.H.N. van, “Atlas of Crystal Structures for Intermetallic Phases”, (ASM International, Materials Park OH, 1991), p. 3804.Google Scholar
5. Shoemaker, C.B. and Shoemaker, D.P., in Developments in the Structural Chemistry of Alloy Phases ed. Giessen, B.C. (Plenum, New York, 1969) p. 107.Google Scholar
6. Yakel, H.L., Acta Cryst. B 39, 20 (1983), and references therein.Google Scholar
7. Yakel, H.L., Acta Cryst. B 39, 28 (1983).Google Scholar
8. Gupta, A., Principi, G., Paolucci, G.M., Hyperfine Interactions 54, 805 (1990).Google Scholar
9. Dubiel, S.M. and Costa, B.F.O., Phys. Rev. B 47, 12257 (1993).Google Scholar
10. Skriver, H.L., “The LMTO Method”, (Springer, Berlin, 1984).Google Scholar
11. Connolly, J.W.D. and Williams, A.R., Phys. Rev. B 27, 5169 (1983).Google Scholar
12. The 10 additional structures, in contrast to the earlier set of 32 structures, have lower symmetry than the sigma phase and hence are superstructures.Google Scholar
13. Kikuchi, R., Phys. Rev. 81, 988 (1951); J.M. Sanchez, F. Ducastelle and D. Gratias, Physica A128, 334 (1984).Google Scholar
14. An order-disorder transformation from sigma to some lower symmetry structure is possible. The 10 superstructures considered in this study did not break the convex hull of the ground states. However, there might be other superstructures that do break the convex hull.Google Scholar