Crystal structure optimisation using an auxiliary equation of state

Adam J. Jackson, Jonathan M. Skelton, Christopher H. Hendon, Keith T. Butler, Aron Walsh

Research output: Contribution to journalArticle

  • 6 Citations

Abstract

Standard procedures for local crystal-structure optimisation involve numerous energy and force calculations. It is common to calculate an energy-volume curve, fitting an equation of state around the equilibrium cell volume. This is a computationally intensive process, in particular for low-symmetry crystal structures where each isochoric optimisation involves energy minimisation over many degrees of freedom. Such procedures can be prohibitive for non-local exchange-correlation functionals or other 'beyond' density functional theory electronic structure techniques, particularly where analytical gradients are not available. We present a simple approach for efficient optimisation of crystal structures based on a known equation of state. The equilibrium volume can be predicted from one single-point calculation, and refined with successive calculations if required. The approach is validated for PbS, PbTe, ZnS and ZnTe using nine density functionals, and applied to the quaternary semiconductor Cu$_{2}$ZnSnS$_{4}$ and the magnetic metal-organic framework HKUST-1.
LanguageEnglish
Article number184101
JournalJournal of Chemical Physics
Volume143
Issue number18
Early online date9 Nov 2015
DOIs
StatusPublished - 14 Nov 2015

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Equations of state
equations of state
Crystal structure
crystal structure
optimization
functionals
magnetic metals
curve fitting
Curve fitting
Electronic structure
Density functional theory
energy
degrees of freedom
Metals
Semiconductor materials
density functional theory
electronic structure
gradients
symmetry
cells

Keywords

  • cond-mat.mtrl-sci

Cite this

Jackson, A. J., Skelton, J. M., Hendon, C. H., Butler, K. T., & Walsh, A. (2015). Crystal structure optimisation using an auxiliary equation of state. DOI: 10.1063/1.4934716

Crystal structure optimisation using an auxiliary equation of state. / Jackson, Adam J.; Skelton, Jonathan M.; Hendon, Christopher H.; Butler, Keith T.; Walsh, Aron.

In: Journal of Chemical Physics, Vol. 143, No. 18, 184101, 14.11.2015.

Research output: Contribution to journalArticle

Jackson, AJ, Skelton, JM, Hendon, CH, Butler, KT & Walsh, A 2015, 'Crystal structure optimisation using an auxiliary equation of state' Journal of Chemical Physics, vol. 143, no. 18, 184101. DOI: 10.1063/1.4934716
Jackson AJ, Skelton JM, Hendon CH, Butler KT, Walsh A. Crystal structure optimisation using an auxiliary equation of state. Journal of Chemical Physics. 2015 Nov 14;143(18). 184101. Available from, DOI: 10.1063/1.4934716
Jackson, Adam J. ; Skelton, Jonathan M. ; Hendon, Christopher H. ; Butler, Keith T. ; Walsh, Aron. / Crystal structure optimisation using an auxiliary equation of state. In: Journal of Chemical Physics. 2015 ; Vol. 143, No. 18.
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