Crystal potentials under invariant periodic boundary conditions at infinity

TL;DR

This paper proves the definiteness of bulk electrostatic potentials in solids with periodic boundary conditions of any triclinic symmetry, highlighting the implications of a universal potential correction.

Contribution

It establishes a general proof of potential definiteness under invariant periodic boundary conditions for triclinic solids, extending previous results.

Findings

Proved the definiteness of electrostatic potentials in triclinic solids.

Discussed consequences of the universal potential correction.

Extended theoretical understanding of electrostatic boundary conditions.

Abstract

The definiteness of bulk electrostatic potentials in solids under periodic boundary conditions defined in an invariant manner has been proved in the general case of triclinic symmetry. Some principal consequences following from the universal potential correction arising are discussed briefly.