A simple derivation is given to arrive at an
expression for the Coulomb energy of a polar crystal with
emphasis
on its dependence on the external form of the crystal. It is found
that the existing treatments are incomplete,
since they refer to the central cell in the crystal, which may have an
energy different from the average one.
It is stressed that there is a very simple relation between
results from calculations using a cutoff scheme and
results from Ewald summation. Explicit formulas for the
form-dependent contribution are developed for the
case of a rectangular crystal. However, the usual approach in
which that contribution is neglected appears
to be a reasonable one for practical applications.