Valence electron correlation energy embracing the diamond-lattice materials C through Sn
Abstract
By combining a recent result of March and Matthai for the energy gap G with a model
of Rey and Savin, the correlation energy ec of the valence electrons embracing C, Si, Ge and Sn can be estimated. While Sn is thereby predicted to have ec near to the Ceperley-Alder jellium result corresponding to G = 0, diamond exhibits a dramatic reduction in correlation energy due to its large band-gap.