Crystal structure optimisation using an auxiliary equation of state

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

doi:10.1063/1.4934716

Crystal structure optimisation using an auxiliary equation of state

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

Department of Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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 Cu2ZnSnS4 and the magnetic metal-organic framework HKUST-1.

Original language	English
Article number	184101
Journal	Journal of Chemical Physics
Volume	143
Issue number	18
DOIs	https://doi.org/10.1063/1.4934716
Publication status	Published - 2015 Nov 14

Bibliographical note

Funding Information:
The authors thank J. M. Frost for useful discussions. We acknowledge our use of the ARCHER computing facility through our membership of the UK's HPC Materials Chemistry Consortium, which is funded by EPSRC Grant No. EP/L000202. J.M.S. is funded by an EPSRC Programme Grant (No. EP/K004956/1). A.J.J. is funded by the EPSRC Doctoral Training Centre in Sustainable Chemical Technologies (Grant Nos. EP/G03768X/1 and EP/L016354/1). A.W. acknowledges support from the Royal Society and the ERC (Grant No. 277757).

Funding Information:
The authors thank J. M. Frost for useful discussions. We acknowledge our use of the ARCHER computing facility through our membership of the UK’s HPC Materials Chemistry Consortium, which is funded by EPSRC Grant No. EP/L000202. J.M.S. is funded by an EPSRC Programme Grant (No. EP/K004956/1). A.J.J. is funded by the EPSRC Doctoral Training Centre in Sustainable Chemical Technologies (Grant Nos. EP/G03768X/1 and EP/L016354/1). A.W. acknowledges support from the Royal Society and the ERC (Grant No. 277757).

Publisher Copyright:
© 2015 Author(s).

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.1063/1.4934716

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title = "Crystal structure optimisation using an auxiliary equation of state",

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 Cu2ZnSnS4 and the magnetic metal-organic framework HKUST-1.",

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note = "Funding Information: The authors thank J. M. Frost for useful discussions. We acknowledge our use of the ARCHER computing facility through our membership of the UK's HPC Materials Chemistry Consortium, which is funded by EPSRC Grant No. EP/L000202. J.M.S. is funded by an EPSRC Programme Grant (No. EP/K004956/1). A.J.J. is funded by the EPSRC Doctoral Training Centre in Sustainable Chemical Technologies (Grant Nos. EP/G03768X/1 and EP/L016354/1). A.W. acknowledges support from the Royal Society and the ERC (Grant No. 277757). Funding Information: The authors thank J. M. Frost for useful discussions. We acknowledge our use of the ARCHER computing facility through our membership of the UK{\textquoteright}s HPC Materials Chemistry Consortium, which is funded by EPSRC Grant No. EP/L000202. J.M.S. is funded by an EPSRC Programme Grant (No. EP/K004956/1). A.J.J. is funded by the EPSRC Doctoral Training Centre in Sustainable Chemical Technologies (Grant Nos. EP/G03768X/1 and EP/L016354/1). A.W. acknowledges support from the Royal Society and the ERC (Grant No. 277757). Publisher Copyright: {\textcopyright} 2015 Author(s).",

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Crystal structure optimisation using an auxiliary equation of state

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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