  There has been much interest over many years in studying charged systems
after the artificial imposition of periodic boundary conditions, and correcting
for the resulting divergence of the electrostatic energy density. A correction
for cubic cells was derived by Makov and Payne in 1995, and its leading error
term is of the form $L^{-5}$ for a cube of side $L$. Most modern Density
Functional Theory codes use a different treatment of the `Z$\alpha$' energy
term to that used by Makov and Payne, resulting in an error term of the form
$L^{-3}$ if their correction is used unmodified. This paper shows how the Makov
and Payne result can be made consistent with modern practice.
