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Rate Equation Theory for Island Sizes and Capture Zone Areas in Submonolayer Deposition: Realistic Treatment of Spatial Aspects of Nucleation

Published online by Cambridge University Press:  11 February 2011

J.W. Evans
Affiliation:
Department of Mathematics, and Ames Laboratory-USDOE, and Iowa State University, Ames, Iowa 50011
Maozhi Li
Affiliation:
Institute of Physical Research & Technology, Iowa State University, Ames, Iowa 50011
M.C. Bartelt
Affiliation:
Department of Chemistry and Materials Science, Lawrence Livermore National Laboratory, Livermore, California 94550
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Abstract

Extensive information on the distribution of islands formed during submonolayer deposition is provided by the joint probability distribution (JPD) for island sizes, s, and capture zone areas, A. A key ingredient determining the form of the JPD is the impact of each nucleation event on existing capture zone areas. Combining a realistic characterization of such spatial aspects of nucleation with a factorization ansatz for the JPD, we provide a concise rate equation formulation for the variation with island size of both the capture zone area and the island density.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

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References

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