Abstract
A high-throughput approach to determine the equilibrium shape of a crystal by brute force is impractical due to the vast number of density functional theory (DFT) calculations required along just a single crystallographic direction. We propose a screening method that allows the bypass of performing DFT calculations for each candidate surface. Using a series of physically-motivated simplifications, we are able to consider the relative surface energy of each of the large number of candidate surfaces required to solve the surface energy minimization problem in 3 dimensions. Application of this technique to calculate the surface energy landscapes of a set of well-known crystal structures demonstrates high accuracy in the prediction of stable planes and validates its potential as a valuable tool in ab initio determination of equilibrium crystal shapes.
Funder
Extreme Science and Engineering Discovery Environment
National Science Foundation
United States Army Research Office
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference37 articles.
1. Kurz, W., and Fisher, D. (1989). Fundamentals of Solidification, Trans. Tech.
2. Jamtveit, B., and Meakin, P. (1999). Growth, Dissolution and Pattern Formation in Geosystems, Kluwer.
3. Colloidal nanocrystal synthesis and the organic–inorganic interface;Yin;Nature,2005
4. Trends of the surface relaxations, surface energies, and work functions of the 4d transition metals;Methfessel;Phys. Rev. B,1992
5. Surface energies of elemental crystals;Tran;Sci. Data,2016
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