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Vacancies and antisite defects in ordered alloys

Published online by Cambridge University Press:  31 January 2011

R.A. Johnson
Affiliation:
Materials Science Department, Thornton Hall, University of Virginia, Charlottesville, Virginia 22903
J.R. Brown
Affiliation:
Materials Science Department, Thornton Hall, University of Virginia, Charlottesville, Virginia 22903
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Abstract

Equations for the concentrations of vacancies and antisite defects in ordered alloys in thermodynamic equilibrium at and near stoichiometry have been derived as functions of defect energies and a Lagrangian parameter. While the resulting equations cannot be solved analytically and in general require iterative calculations, an approximation is given that permits simple numerical evaluation with just a minor loss of accuracy. Using defect energies obtained from an embedded-atom method calculation for Cu3Au, it is found that the adjustment for off-stoichiometric compositions is accounted for primarily by the creation of antisite defects rather than vacancies, and the vacancy concentration on Au sites is orders of magnitude less than that on Cu sites. There is a significant increase in the Au vacancy concentration but a slight decrease in the net vacancy content with increasing Cu fraction.

Type
Articles
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

1Foiles, S. M. and Daw, M. S., J. Mater. Res. 2, 5 (1987).CrossRefGoogle Scholar
2Kim, S. M., J. Mater. Res. 6, 1455 (1991).Google Scholar
3Brown, J. R. and Johnson, R. A., in Defects in Materials, edited by Bristowe, P. D., Epperson, J. E., Griffith, J. E., and Liliental-Weber, Z. (Mater. Res. Soc. Symp. Proc. 209, Pittsburgh, PA, 1991), p. 71.Google Scholar
4Siegel, R.W., J. Nucl. Mater. 69/70, 117 (1978).CrossRefGoogle Scholar
5Krivoglaz, M. A. and Smirnov, A., The Theory of Order-Disorder in Alloys (MacDonald, London, 1964).Google Scholar
6Cheng, C.Y., Wynblatt, P.P., and Dorn, J.E., Acta Metall. 24, 811 (1967).Google Scholar
7Schoijet, M. and Girifalco, L.A., J. Phys. Chem. Solids 29, 911 (1968).Google Scholar
8Keating, D.T. and Warren, B.E., J. Appl. Phys. 22, 286 (1951).CrossRefGoogle Scholar
9Johnson, R.A., Phys. Rev. B 41, 9717 (1990).Google Scholar