Formulae concerning the evaluation of the total electrostatic energy per supercell in an infinitely extended system made up of identical atoms are developed in a consistent manner, which emphasizes and takes care of several delicate points connected with the occurrence of divergent and spurious constant terms. The treatment is carried out within a k-space formulation of density functional theory and special attention is devoted to a consistent re-derivation of the Madelung energy result of the Wigner solid associated with a realistic identical atom system. Two formulae of practical interest for computer applications are obtained and discussed.
Electrostatic Energy of A Complex and Infinitely Extended Electronic System
TOIGO, FLAVIO
1991
Abstract
Formulae concerning the evaluation of the total electrostatic energy per supercell in an infinitely extended system made up of identical atoms are developed in a consistent manner, which emphasizes and takes care of several delicate points connected with the occurrence of divergent and spurious constant terms. The treatment is carried out within a k-space formulation of density functional theory and special attention is devoted to a consistent re-derivation of the Madelung energy result of the Wigner solid associated with a realistic identical atom system. Two formulae of practical interest for computer applications are obtained and discussed.Pubblicazioni consigliate
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