The electrostatic energy of a lattice of point charges

Abstract

The limit electrostatic energy per cell E of ionic lattice of point charges is defined as the limit value of the energy of a finite crystal divided by its number of cells (when this number tends towards+∞). The explicit value of E is calculated and related to the Ewald energy. This energy E depends on the sequence of the increasing finite crystals (more precisely, on the sequence of the increasing finite sets of ions). In other words, and briefly: E is a volumic energy which depends on the surface L'energie electrostatique limite par paille d'un reseau ionique est definie comme la valeur limite de l'energie d'un cristal fini divisee par son nombre de mailles. Calcul de sa valeur que l'on relie a l'energie d'Ewald