Accurate orbital-independent density-functional potential including self-interaction correction

A new method of constructing approximate Kohn-Sham exchange-correlation potentials, vxc, from the orbital-dependent potentials vxc⁽ⁱ⁾={δ}Exc[{nᵢ}]/{δ}nᵢ is proposed in which vxc is obtained from integrating the weighted average of electric (WAE) field produced by the v_xc⁽ⁱ⁾. Application of the WAE method to atoms with closed subshells employing exchange-only local-spin-density self-interaction correction and gradient-expansion-approximation self-interaction correction energy functionals yields vₓ and n(r) which closely approximate the OPM potentials and Hartree-Fock electron densities, respectively.