Improved statistical exchange approximation for inhomogeneous many-electron systems

We have developed an improved exchange approximation for use in self-consistent atomic structure calculations and related problems. By adding an inhomogeneity correction to the Kohn-Sham-Gaspar exchange potential, we are able to obtain total energies for atoms that are consistently closer to the Hartree-Fock values than are those given by other recently proposed exchange potentials. © 1969 The American Physical Society.