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Evolution of Surface Roughness of a Strained Epitaxial Film Due to Interface Misfit Dislocations

Published online by Cambridge University Press:  15 February 2011

F. Jonsdottir
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912
L. B. Freund
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912
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Abstract

The appearance of misfit dislocations at the interface between a strained layer and its substrate induces a nonuniform chemical potential along the surface of the layer. Under the assumption that the resulting chemical potential gradient will drive coherent mass rearrangement by surface diffusion, a model of evolution of surface shape is considered which leads to estimates of the surface roughness induced by this mechanism.

Type
Research Article
Copyright
Copyright © Materials Research Society 1994

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References

REFERENCES

1. Fitzgerald, E. A., Ast, D. G., Kirchner, P. D., Pettit, G. D. and Woodall, J. M., J. Appl. Phys. 63, 693 (1988).Google Scholar
2. Harvey, S. E., Angelo, J. E., and Gerberich, W. W. in Thin Films: Stresses and Mechanical Properties IV, edited by Townsend, P. H., Weihs, T. P., Sanchez, J. Jr., and Borgeson, P. (Mater. Res. Soc. Proc. 308, Pittsburgh, PA, 1993) pp. 433438.Google Scholar
3. Mullins, W. W. and Sekerka, R. F., J. Chem. Phys. 82 5192 (1985).Google Scholar
4. Orr, B. G., Kessler, D., Snyder, C. W. and Sander, L., Europhys. Lett. 19, 33 (1992).CrossRefGoogle Scholar
5. Herring, C., in Structure and Properties of Solid Surfaces, edited by Gomer, R. and Smith, C. S. (Univ. of Chicago Press, Chicago, 1953), p. 5.Google Scholar
6. Rice, J. R. and Chuang, T. J., J. Amer. Ceramic Soc. 64, 46 (1981).CrossRefGoogle Scholar
7. Freund, L. B., Beltz, G. E. and Jonsdottir, F., in Thin Films: Stresses and Mechanical Properties IV, edited by Townsend, P. H., Weihs, T. P., Sanchez, J. Jr., and Borgeson, P. (Mater. Res. Soc. Proc. 308, Pittsburgh, PA, 1993) pp. 383394.Google Scholar
8. Bruinsma, R. and Zangwill, A., Europhys. Lett. 4, 729 (1987).CrossRefGoogle Scholar
9. Larche, F. and Cahn, J. W., Ada Metall. 21, 1051 (1973).Google Scholar
10. Leo, P. H. and Sekerka, R. F., Acta Metall. 37, 3119 (1989).CrossRefGoogle Scholar
11. Freund, L. B., in Advances in Applied Mechanics, Vol. 30, edited by Hutchinson, J. W. and Wu, T. Y. (Academic Press, Boston, 1994), p. 1.Google Scholar
12. Gao, H., J.Mech. Phys. Solids to appear.Google Scholar
13. Freund, L. B. and Jonsdottir, F., J. Mech. Phys. Solids 41, 1245 (1993).Google Scholar