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Monte Carlo analysis of experiments on individual adatoms
Authors:David A. Reed  Gert Ehrlich
Affiliation:Coordinated Science Laboratory and Department of Metallurgy, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
Abstract:Quantitative studies of individual adatom motion using the field ion microscope are difficult in as much as the number of observations is limited. However, simulations by Monte Carlo techniques make it possible to maximize the information obtained from small statistical samples. Questions encountered in studying the diffusion and interaction of adatoms have therefore been examined by simulation, and results are presented for the following topics: (1) Corrections for the finite size of planes on which atomic diffusion is observed. (2) Statistical scatter in the estimation of diffusion parameters from the temperature dependence of the mean-square displacement. (3) Conditions for measuring rates of single- and double-length jumps in atomic diffusion. (4) Uncertainties in the estimation of interaction energies from pair distribution measurements.
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