A Monte Carlo study of the dependence of the habits of Kossel crystal on dynamic parameters during two‐dimensional growth

Abstract

We present the Monte Carlo simulation results, demonstrating that the habit of two-dimensional growth of Kossel crystals depends on supersaturation and surface diffusion barrier. It is shown that at very small supersaturation, the surface diffusion plays dominant role and controls the resulting growth shapes. At higher supersaturation the growth habit is universal and does not depend on surface diffusion rates. Further increase of the supersaturation leads to unstable growth morphologies. These Monte Carlo results are analyzed using SHAPE package in order to derive the relative growth rates along different crystallographic directions. Using these data the dependence of the growth habit on the energetic parameters: bond energy and temperature and dynamic parameters: supersaturation and surface diffusion is given.

Growth of 2D nuclei–A Monte Carlo study of existence of various habits

“…2 of Ref. [12], for higher supersaturations, i.e. sX10; the shape becomes rectangular, even in the case of the barriers corresponding to the diamond shape for lower supersaturations.…”

“…[12] higher supersaturation leads to the domination of the external flux. Similarly to barrierless results presented in Fig.…”

“…Using those simulations, the growth process of the nuclei may be explained in terms of the relative growth rates of their edges as it was done in Ref. [12] for nuclei grown for isotropic barriers. This is also the subject of our future work.…”