STATIC LOCAL-FIELD FACTOR FOR DIELECTRIC SCREENING FUNCTION OF ELECTRON-GAS AT METALLIC AND LOWER DENSITIES

A simple parametric form for the static local field factor G(q) which appears in the dielectric screening theory of an electron gas is propo sed. A very accurate fit of Ceperley-Alder data of electron correlatio n energy in the entire density range using Levin-Weniger interpolant i s obtained and used for the calculation of G(q). Both the short- and l ong-wavelength limits of G(q) are satisfied exactly in the present for mulation which ensures fulfilment of a number of other legitimate crit eria and produces some interesting results. A comparative study of the various static local field factors derived so far vis-a-vis the prese nt work is made. Even within the approximations of a static self-consi stent theory, reasonable prediction regarding Wigner Crystallization i s obtained in the present work.