CAPTURE-NUMBERS AND ISLAND SIZE-DISTRIBUTIONS IN IRREVERSIBLE HOMOEPITAXIAL GROWTH A Rate-Equation Approach
نویسندگان
چکیده
A fully self-consistent rate-equation approach to irreversible submonolayer growth is presented. This approach explicitly takes into account the correlation between the size of an island and the corresponding average capture zone. It is shown that this leads to capture numbers which depend explicitely on the island-size, and excellent agreement with experimental and Monte Carlo results is found for this size-dependency. Consequently, the predictions for the island-size distributions are in very good agreement with Monte Carlo simulation results over the whole range of coverages in the pre-coalescence regime.
منابع مشابه
Rate-equation approach to island size distributions and capture numbers in submonolayer irreversible growth
We present a quantitative rate-equation approach to irreversible submonolayer growth on a two-dimensional substrate. Our method explicitly takes into account the existence of a denuded ~‘‘capture’’! zone around every island and the correlations between the size of an island and the corresponding average capture zone. The evolution of the capture-zone distributions is described by a set of Voron...
متن کاملRate-equation approach to island capture zones and size distributions in epitaxial growth.
Understanding and predicting the effects of correlations between island size and the rate of monomer capture has been shown to be the central problem in predicting the island-size distribution in submonolayer growth. Here we summarize a method which involves a self-consistent coupling of evolution equations for the capture-zone distributions with rate equations for the island-size distribution....
متن کاملKinetics of Submonolayer Epitaxial Growth
Molecular beam epitaxy is an important method for growing thinlms and nanostructures. One of the scienti c challenges is to understand the fundamental processes that control the evolution of thin lm structure and morphology. The results of kinetic Monte Carlo simulations carried out to study the dependence of the submonolayer scaled island-size distribution on the critical island-size are prese...
متن کاملNucleation, adatom capture, and island size distributions: Unified scaling analysis for submonolayer deposition
We consider the irreversible nucleation and growth of two-dimensional islands during submonolayer deposition in the regime of large island sizes. A quasihydrodynamic analysis of rate equations for island densities yields an ordinary differential equation (ODE) for the scaling function describing the island size distribution. This ODE involves the scaling function for the dependence on island si...
متن کاملUpper critical dimension for irreversible cluster nucleation and growth in the point-island regime.
We compare the results of kinetic Monte Carlo (KMC) simulations of a point-island model of irreversible nucleation and growth in four dimensions (4D) with the corresponding mean-field (MF) rate-equation predictions for the monomer density, island density, island-size distribution (ISD), capture-number distribution (CND), and capture-zone distribution (CZD), in order to determine the critical di...
متن کامل