The same n=2, 16 atom, 64 electron system of diamond-structure silicon that was used in the Coulomb finite size calculations described in section was used to calculate a series of energy gaps using the prescription given in Eq.() within the VMC framework by the method of addition and subtraction of electrons. Calculations were performed using the new electron-electron interaction designed to remove the effects of the periodic images of the additional (removed) electrons as described in Eq.().