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Transitions in Critical Island Size in Metal (100) and (111) Homoepitaxy: A Self-Consistent Rate Equation Approach

Published online by Cambridge University Press:  10 February 2011

Mihail N. Popescu ,
Jacques G. Amar  and
Fereydoon Family
Mihail N. Popescu
Affiliation:
Department of Physics, Emory University, Atlanta, GA 30322
Jacques G. Amar
Affiliation:
Department of Physics and Astronomy, University of Toledo, Toledo, OH 43606
Fereydoon Family
Affiliation:
Department of Physics, Emory University, Atlanta, GA 30322
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Abstract

A self-consistent rate equation (RE) approach to submonolayer growth for a restricted pair-bond model that is relevant to low and intermediate temperature metal (100) and (111) homoepitaxy is introduced. In contrast to previous standard rate equation results, the transition temperature from i = 1 to a higher critical island size is well predicted along with the average island and monomer densities. It is shown that the method's implicit introduction of short-range correlations between attachment/detachment rates, together with a careful estimate of the escape rates for small clusters, are important factors for a good agreement with the kinetic Monte Carlo simulation results.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 528: Symposia AA – Mechanisms & Principals of Epitaxial Growth in Metallic Systems , 1998 , 125
Copyright
Copyright © Materials Research Society 1998

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