Some new lattice sums including an exact result for the electrostatic potential within the NaCl lattice

Abstract

The electrostatic potential at point (1/6, 1/6, 1/6) in the unit cell of side length 2 of the NaCl lattice is found to be square root 3. An n-dimensional generalisation of a dipole sum, evaluated exactly by Glasser and Zucker (1980) in the case n=2, is given.