Abstract
The electrostatic energy of electrons in a lattice has been calculated by the Rayleigh-Schrödinger perturbation method. This method gives a value which becomes logarithmically infinite for a metal. For an insulator, however, the gap in energy above the first occupied zone leads to a finite result. Numerical values have been found for the three cases in which the gap is one-half the width of the first zone, equal in width, and twice as wide.

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