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Nucleation and Growth of Adsorbed Layer Self‐Consistent Approach Based on Kolmogoroff‐Avrami Model
Author(s) -
Dubrovskii V. G.
Publication year - 1992
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221710206
Subject(s) - nucleation , supersaturation , coalescence (physics) , condensation , kinetic energy , thermodynamics , adsorption , monolayer , chemistry , crystallization , chemical physics , materials science , classical mechanics , physics , biochemistry , astrobiology
The kinetic model for the growth of adsorbed monolayer is developed in order to describe the growth process beginning from the initial stage of nucleation up to the formation of a continuous film. The nucleation of clusters on the uncovered substrate region is studied within the frame of kinetic theory of condensation. Direct coalescence of clusters is described by means of Kolmogoroff‐Avrami model for two‐dimensional crystallization. The basic self‐consistent equation for the dynamics of adatom supersaturation is derived. Numerical solutions for supersaturation, mean substrate coverage, boundary perimeter, and total number of clusters are obtained. Depending on the numerical value of the governing parameter, three known experimental growth modes are determined. In the regime of incomplete condensation the analytical solutions for the basic kinetic and morphological characteristics of the growing layer are obtained, which are in agreement with numerical results.