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Phase Diagrams and Diffuse Neutron Scattering

Published online by Cambridge University Press:  21 February 2011

Rene Caudron ,
Maurice Sarfati ,
Alphonse Finel  and
Francine Solal
Rene Caudron
Affiliation:
ONERA and Laboratoire Leon Brillouin, CEN Saclay, 91191 Gif sur Yvette Cedex, France
Maurice Sarfati
Affiliation:
ONERA and Laboratoire Leon Brillouin, CEN Saclay, 91191 Gif sur Yvette Cedex, France
Alphonse Finel
Affiliation:
ONERA, B.P. 72, 92322 Chatillon Cedex, France
Francine Solal
Affiliation:
Lawrence Livermore Laboratory Dept. of Materials Science, L-268, PO BOX 808 Livermore, CA 94550, U.S.A
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Extract

The order or segregation properties of compounds or solid solutions are important ingredients of the phase diagrams. If the order can be described as an atomic distribution on an underlying lattice, and if the interactions can be expressed in terms of pairs and other multiplet potentials between the atomic species, phase diagrams should be deducible from these potentials, along with other properties, such as antiphase boundaries, core structures of the dislocations in ordered compounds&; This approach, i.e. the very existence of the potentials, is legitimated by electronic structure calculations for or alloys of normal [1] and transition metals [2]. The G.P.M. (General perturbation Method) allows indeed to develop the order energy in terms of interatomic potentials, the reference state, namely the random alloy, being calculated within the C.P.A. (Coherent Potential Approximation).

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 166: Symposium J – Neutron Scattering for Materials Science , 1989 , 243
Copyright
Copyright © Materials Research Society 1990

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References

REFERENCES

1. Hafner, J., From hamiltonians to Phase Diagrams, n°70 of Solid State Science series, Springer 1977 Google Scholar
2. Ducastelle, F. et Gautier, F., J. Phys. F., 6, 2039 (1976) A. Bieber et F. Gautier, Acta Metall., 34, 2291 (1986) A. Bieber et F. Gautier, Acta Metall., 35, 1889 (1987) F. Ducastelle : La Recherche Aérospatiale 4,11 (1986)Google Scholar
3. Solal, F., Caudron, R., Finel, A., Physica B 156–157, 75 (1989) F. Solal, R. Caudron, F. Ducastelle, A. Finel and A. Loiseau, Phys. Rev. Lett. 58, 2245 (1987)Google Scholar
4. Clapp, P.C. et Moss, S.C., Phys. Rev. 171 (1968) 754 Google Scholar
5. A complete analysis shows that the conditioning of the inverting procedure is so poor in the Pd3 V case that the J's are exceedingly sensitive to small errors on the α's. However, the antiphase energy is not sensitive at all to the a errors. So, we can safely compare the antiphase energies of the two alloys.Google Scholar
6. Schonfeld, B., Reinhardt, L. and Kostorz, G., Phys. Stat. Solidi (b) 147, 457 (1988) W. Schweika and H.G. Haubold, Phys. Rev. B37 9240 (1988)Google Scholar
7. Turchi, P. A., Thesis, Paris (1984)Google Scholar