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Elastic Properties of Superlattices

Published online by Cambridge University Press:  26 February 2011

M. Grimsditch*
Affiliation:
Materials Science Division, Argonne National Laboratory, Argonne, IL 60439
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Abstract

A calculation of the effective elastic moduli of a super-lattice, in terms of the elastic moduli of its constituents, is presented. Contrary to what has been found in many real systems, these calculations show that in the long wavelength limit the effective elastic moduli are independent of the modulation wavelength. A discussion of the experimental results on Nb/Cu, Mo/Ni and Au/Cr shows that the elastic anomalies can be understood on the basis of concomitant changes in lattice spacings.

Type
Articles
Copyright
Copyright © Materials Research Society 1987

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References

REFERENces

[1] Bruggeman, D. A. G., Ann. Phys. (Leipzig) 29, 160 (1937).Google Scholar
[2] Rytov, S. M.. Akost. Zh. 2, 71 (1956) [Sov. Phys.-Acoust. 2, 68 (1956)].Google Scholar
[3] Delph, T. J., Herrmann, G. and Kaul, R. K., J. Appl. Mech. 45, 343 (1978).Google Scholar
[4] Sapriel, J., Djafari-Rouhani, B. and Dobrzynski, L., Surf. Sci. 126, 197 (1983).CrossRefGoogle Scholar
[5] Nizzoli, F. in Proceedings of the 17th International Conference on the Physics of Semiconductors, edited by Chadi, J. D. and Harrison, W. A. (Springer-Verlag, New York, 1985), p. 1145.Google Scholar
[6] Grimsditch, M., Phys. Rev. B31, 6818 (1985).CrossRefGoogle Scholar
[7] Grimsditch, M. and Nizzoli, F., Phys. Rev. B33, 5891 (1986).Google Scholar
[8] For a review see Schuller, I. K., IEEE 1985 Ultrasonics Symposium, edited by McAvoy, B. R. (IEEE, New York), p. 1093.Google Scholar
[9] Khan, M. R., Chun, C. S. L., Felcher, G. P., Grimsditch, M., Kueny, A., Falco, C.M. and Schuller, I. K., Phys. Rev. B27, 7186 (1983).Google Scholar
[10] Kueny, A., Grimsditch, M., Miyano, K., Banerjee, I., Falco, C. and Schuller, I. K., Phys. Rev. Lett. 48, 166 (1982).Google Scholar
[11] Schuller, I. and Grimsditch, M., to be published in the Proceedings of the AVS Symposium on Strained-Layer Superlattices, NJ, June 1986.Google Scholar
[12] Bisanti, P., Brodsky, M., Felcher, G., Grimsditch, M. and Sill, L., (to be published).Google Scholar
[13] Schuller, I. K. and Rahman, A., Phys. Rev. Lett. 50, 1377 (1983).Google Scholar