Abstract
A model of submonolayer thin film growth is studied, where the attachment of atoms to island edges is hindered by an energy barrier. A novel behavior of the density of islands, N_s, is predicted as a function of flux F and temperature T. For example, N_s scales as F^X with X=2i^*/(i^*+3), where i^* is the critical island size, in contrast with the standard result X=i^*/(i^*+2). The theory is applicable to surfactant mediated growth and chemical vapor deposition. It explains recent experiments, which are inconsistent with the standard theory.

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