Da. Liberman, MODIFIED EXCHANGE POTENTIAL FOR LOCAL-DENSITY CALCULATIONS OF ATOMS, Journal of physics. B, Atomic molecular and optical physics, 31(12), 1998, pp. 2681-2688
The local density exchange potential which is used in most atomic calc
ulations is based on the degenerate electron gas. It is proposed that
it should be augmented by a term that has the correct large radius beh
aviour and which contains an adjustable parameter. The parameter is de
termined by minimizing the total energy. Better calculations of severa
l physical quantities are obtained.