Abstract
Our results of in situ diffuse scattering of neutrons in Ni3V and Pt3V are presented. In the Ising model framework, effective pair interactions (EPI) up to the 9th neighbor were extracted from the data. These EPI were used to explain successfully the transition temperature of both compounds, the core structure of the dislocations in Ni3V, and the occurrence of long periods in Pt3V. The need of approximations yielding long-range EPI is stressed. We give a description of the Gamma Expansion Method (GEM). Because of its mean field nature, we expected the GEM to fail in the highly degenerate case of Pt3V. We tested it in that case, and found it completely successful. This gives more confidence in the mean field approximations.
This is a preview of subscription content, log in via an institution to check access.
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
F. Ducastelle, Order and Phase Stability in Alloys, edited by F. R. de Boer and D. G. Pettifor, Cohesion and Structure Vol. 3 (North-Holland, Amsterdam, 1991).
M. Asta, C. Wolverton, D. de Fontaine, and H. Dreysse, Phys. Rev. B 44, 4907 (1991); 44, 4914 (1991)
W. Schweika and A. E. Carlsson, Phys. Rev. B 40, 4990 (1989).
F. Solal, R. Caudron, and A. Finel, in Alloy Phase Stability, edited by G. M. Stocks and A. Gonis, NATO ASI series, series E: applied sciences, (Kluwer Acad. Publ., 1989), Vol. 163, p. 107.
A. Finel, M. Barrachin, R. Caudron, and A. François in Metallic alloys, Experimental and Theoretical Perspectives, edited by J. S. Faulkner and R. G. Jordan, Nato ASI series, series E: applied sciences, (Kluwer Acad. Publ., 1994), Vol. 256, p. 215.
V. I. Tokar, Phys. Lett. 110A, 453 (1985).
I. V. Masanskii, V. I. Tokar, and T. A. Grishchenko, Phys. Rev. B 44, 4647 (1991).
L. Reinhard and S. C. Moss, Ultramicroscopy 52, 232 (1993).
R. Caudron, M. Sarfati, M. Barrachin, A. Finel, F. Ducastelle, and F. Solal, J. Phys. 12, 1145 (1992).
J. C. Sparks and B. Borie, in Local Atomic Arrangements studied by X-Ray Diffraction, edited by J. B. Cohen and J. E. Hilliard (Gordon and Breach, 1966).
C. L. Lawson and R. J. Hanson, Solving Linear Least Squares Problem, (Prentice- Hall, Englewood-Cliffs, New-Jersey, 1974).
A. Finel, Ph.D. thesis, Paris VI, 1987.
M. Barrachin, Ph.D. thesis, Paris XI-Orsay, 1993.
M. Barrachin, A. Finel, R.Caudron, A. Pasturel, and A. François, Phys. Rev. B 50, 12980 (1994).
C. Wolverton and A. Zunger, Phys. Rev. B 52, 8813 (1995).
A. François, Ph.D. thesis, Paris VI, 1992.
E. Cabet and A. Loiseau, J. Phys. (France) IV colloque C7, Supp. III 3, 2051 (1993).
A. Finel, in Statics and Dynamics of Alloy Phase Transformations, edited by A. Gonis and P. E. A. Turchi, NATO ASI series B: Physics, (Plenum Press, New York, 1994), Vol. 319, p. 495.
W. L. Bragg and E. J. Willams, Proc. Roy. Soc. London, Ser. A 145, 699 (1934); 152, 231 (1935).
M. A. Krivoglaz, Theory of X-Rays and Thermal Neutron scattering by Real Crystals, (Plenum, New York, 1969).
R. H. Brout, Phase Transitions, (Benjamin, New York, 1965).
P. G. de Gennes and J. Friedel, J. Phys. Chem. Solids, 4, 71 (1958).
P. C. Clapp and S. C. Moss, Phys. Rev. 142, 418 (1966); 171, 754 (1968)
S. C. Moss and P. C. Clapp, Phys. Rev. 171, 764 (1968).
S. Lefebvre, F. Bley, M. Fayard, and M. Roth, Acta Metall. 29, 749 (1981).
J. B. Staunton, D. D. Johnson, and F. J. Pinski, Phys. Rev. B 50, 1450 (1994).
D. W. Hoffman, Met. Trans. 3, 3231 (1972).
W. Schweika and H. G. Haubold, Phys. Rev. B 37, 9240 (1988).
B. Schönfeld, I. Reinhard, G. Kostorz, and W.Bührer, Phys. Status. Solidi B 148, 457 (1988).
V. Gerold and G. Kern, Acta Metall. 35, 393 (1987).
F. Solal, R. Caudron, F. Ducastelle, A. Finel, and A. Loiseau, Phys. Rev. Lett. 58, 2245 (1987).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Plenum Press, New York
About this chapter
Cite this chapter
Caudron, R., Le Bolloc’h, D., Finel, A., Barrachin, M. (1996). Diffuse Scattering of Neutrons in Ni3V and Pt3 V: Test of the Gamma Expansion Method Approximation in a Degenerate Case. In: Morán-López, J.L., Sanchez, J.M. (eds) Theory and Applications of the Cluster Variation and Path Probability Methods. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0419-7_13
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0419-7_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-8043-6
Online ISBN: 978-1-4613-0419-7
eBook Packages: Springer Book Archive