Ov. Gritsenko et al., DENSITY APPROXIMATION TO THE AVERAGE HARTREE-FOCK EXCHANGE POTENTIAL FOR ATOMS, Proceedings of the Indian Academy of Sciences. Chemical sciences, 106(2), 1994, pp. 91-102
A non-local density-based approximation to the average Hartree-Fock (H
F) exchange potential is developed. The new potential is formulated wi
thin the spin-dependent version of the weighted density approximation,
and is based on a novel form of the (exchange-only) pair-correlation
function for electrons in finite systems. The results for total energi
es and one-electron orbital energies of atoms are reasonably accurate
in comparison with those obtained using the exact average HF potential
, or the exact orbital-dependent HF potential.