2-DIMENSIONAL MODEL OF GEOMETRIC EFFECTS IN THIN-FILM CRYSTAL ORIENTATION

A simple two-dimensional model is employed to derive the fraction of o riented crystalline area in thin film crystallization processes, and t o assess the influence of various physical parameters upon the extent of orientation. The final expressions, which are given as averages ove r probability distributions, are shown to be precise via comparisons w ith numerical calculations. We find that for a given film thickness th e seed (nucleus) density and nucleus orientation probability distribut ion have a dramatic influence upon the extent of orientation, while th e crystal growth rate anisotropy has a smaller effect.