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Stress Driven Patterning of Epitaxial Films

Published online by Cambridge University Press:  21 February 2011

Michael A. Grinfeld
Michael A. Grinfeld*
Affiliation:
Rutgers University, Department of Mathematics, New Brunswick, NJ 08903
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Abstract

We study possible morphologies of epitaxial films atop attractive substrates appearing as a result of competition of misfit stresses, van der Waals forces and surface energy. Corresponding formula for the critical thickness of the dislocation-free Stranski-Krastanov pattern is established for the isotropic deformable films and substrates. If the film thickness exceeds the critical magnitude the layer-by-layer pattern switches to islanding. At the first stage the islands have a shape of striae (i.e. long parallel trenches with periodic spacing). We discuss also i)the circumstances in which surface morphology of the film corresponds to a two-dimensional superlattice of islands rather than a one dimensional lattice of striae and ii)the influence of a buffer inter-layer.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 318: Symposium Ca – Interface Control of Electrical, Chemical, and Mechanical Properties , 1993 , 685
Copyright
Copyright © Materials Research Society 1994

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References

REFERENCES

1 J Asaro, R. and Tiller, W.A., Metall. Trans. 3, 1789 (1972).Google Scholar
2 Grinfeld, MA., Sov. Phys. Doklady, 31, 831, (1986).Google Scholar
3 Grinfeld, MA., Fluid Dynamics 22, 169, (1987);.J. Nonlinear Sci. 3, 35 (1993).Google Scholar
4 Noziéres, P., unpublished lectrures (1988); In: Solids Far From Equilibrium, edited by C. Godréche (Cambridge University. Press, Cambridge, 1991).Google Scholar
5 Srolovitz, D.J., Acta Metall. 37,621, (1989).CrossRefGoogle Scholar
6 Freund, LB. and Jonsdottir, F., J. Mech. Phys. Solids, 41, 1245, (1993).Google Scholar
7 Grinfeld, MA., Phys. Rev., B, 1993 (accepted).Google Scholar
8 Grinfeld, MA. and Srolovitz, D., 1993 (submitted).Google Scholar
9 Spencer, B.J., Voorhees, P.W. and Davis, S.H., Phys. Rev. Lettr., 67, 3696, (1991).Google Scholar
10 Grinfeld, M.A., Thermodynamic Methods in the Theory of Hete rogeneous Systems. (Longman, Sussex, 1991).Google Scholar