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

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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.

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Authors and Affiliations

  1. Department of Mathematics, and Ames Laboratory-USDOE, Iowa State University, 50011, Ames, Iowa, USA

    J. W. Evans

  2. Institute of Physical Research & Technology, Iowa State University, 50011, Ames, Iowa, USA

    Maozhi Li

  3. Department of Chemistry and Materials Science, Lawrence Livermore National Laboratory, 94550, Livermore, California, USA

    M. C. Bartelt

Authors
  1. J. W. Evans
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  2. Maozhi Li
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  3. M. C. Bartelt
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Evans, J.W., Li, M. & Bartelt, M.C. Rate Equation Theory for Island Sizes and Capture Zone Areas in Submonolayer Deposition: Realistic Treatment of Spatial Aspects of Nucleation. MRS Online Proceedings Library 749, 22 (2002). https://doi.org/10.1557/PROC-749-W2.2

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  • DOI: https://doi.org/10.1557/PROC-749-W2.2

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