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Pseudopotential contributions to the quadrupole moment in charged periodic systems

Accepted version
Peer-reviewed

Type

Article

Change log

Abstract

There has been much interest over many years in studying charged systems after the artificial imposition of periodic boundary conditions, and correcting for the resulting divergence of the electrostatic energy density. A correction for cubic cells was derived by Makov and Payne in 1995, and its leading error term is of the form L−5 for a cube of side L. Most modern Density Functional Theory codes use a different treatment of the `Zα' energy term to that used by Makov and Payne, resulting in an error term of the form L−3 if their correction is used unmodified. This paper shows how the Makov and Payne result can be made consistent with modern practice.

Description

Keywords

51 Physical Sciences, 34 Chemical Sciences, 3406 Physical Chemistry

Journal Title

Physical Review B

Conference Name

Journal ISSN

2469-9950
2469-9969

Volume Title

Publisher

American Physical Society (APS)
Sponsorship
Engineering and Physical Sciences Research Council (EP/P034616/1)
EPSRC (EP/V062654/1)