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Stationary States in Inhomogeneous Ordered Binary Alloys : Long-Period Superlattices

Published online by Cambridge University Press:  21 February 2011

M. Avignon  and
B.K. Chakraverty
M. Avignon
Affiliation:
Laboratoire d'Etudes des Propriétés Electroniques des Solides, C.N.R.S., B.P. 166, 38042 Grenoble Cedex, France
B.K. Chakraverty
Affiliation:
Laboratoire d'Etudes des Propriétés Electroniques des Solides, C.N.R.S., B.P. 166, 38042 Grenoble Cedex, France
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Abstract

We examine the nature of all possible stationary states in an inhomogeneous ordered binary alloy. For this purpose, we use a development of the free energy in terms of the gradient of the non linear Euler equations is determined from the nature of its singular points. This method allows us to study these solutions for arbitrary expressions of the free energy of the homogeneous system as well as of the gradient coefficients. In general, periodic solutions which can be identified with long period superlattices are found. In specific cases, analytic solutions can be obtained. Fourier components are calculated and compared with experimental values determined for CuAu II.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 21: Symposium GREECE – Phase Transformations in Solids , 1983 , 259
Copyright
Copyright © Materials Research Society 1984

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References

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