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Self-Consistent Rate-Equation Approach to Nucleation and Growth in Point/Extended Island Models of 1-D Homoepitaxy

Published online by Cambridge University Press:  10 February 2011

Jacques G. Amar ,
Mihail N. Popescu  and
Fereydoon Family
Jacques G. Amar
Affiliation:
Department of Physics and Astronomy, University of Toledo, Toledo, OH 43606
Mihail N. Popescu
Affiliation:
Department of Physics, Emory University, Atlanta, GA 30322
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 on a one-dimensional surface is presented. This approach explicitly takes into account the existence of gaps between clusters and can successfully predict the coverage dependence of the average densities of monomers N1, and clusters, N. It also implies an unusual dependence for the monomer-monomer capture number σ1 as a function of monomer density. To obtain the island size-distribution, a second set of mean-field equations is used describing the evolution of the size-dependent capture zones and leading to explicit size- and coverage-dependent capture numbers. The solution of this fully self-consistent RE approach is then compared with kinetic Monte Carlo results

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 570: Symposium V – Epitaxial Growth , 1999 , 3
Copyright
Copyright © Materials Research Society 1999

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References

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