Symmetry-based crystal structure enumeration in two dimensions

Published

March 16, 2020

Author(s)

Evan Pretti, Vincent K. Shen, Jeetain Mittal, Nathan Mahynski

Abstract

The accurate prediction of stable crystalline phases is a long-standing problem encountered in the study of conventional atomic and molecular solids as well as soft materials. One possible solution involves enumerating a reasonable set of candidate structures and then screening them to identify the one(s) with the lowest (free) energy. Candidate structures in this set can also serve as starting points for other routines, such as genetic algorithms, which search via optimization. Here, we present a framework for crystal structure enumeration of two-dimensional systems that utilizes a combination of symmetry- and stoichiometry-imposed constraints to compute valid configurations of particles that tile Euclidean space. With mild assumptions, this produces a computationally tractable total number of proposed candidates, enabling multicomponent systems to be screened by direct enumeration of possible crystalline ground states. The python code that enables these calculations is available at https://github.com/usnistgov/PACCS.

Citation

Journal of Physical Chemistry A

Pub Type

Journals

Download Paper

https://doi.org/10.1021/acs.jpca.0c00846

Local Download

Keywords

Colloidal crystal, structure prediction, symmetry

Citation

Pretti, E. , Shen, V. , Mittal, J. and Mahynski, N. (2020), Symmetry-based crystal structure enumeration in two dimensions, Journal of Physical Chemistry A, [online], https://doi.org/10.1021/acs.jpca.0c00846, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=929427 (Accessed April 27, 2024)