Application of the Tripathy-Mandal dielectric function to the study of some properties of an electron liquid

Using the expression for the dielectric function derived by Tripathy and Mandal in a previous paper, the pair correlation function $g(r)$ and the correlation energy of the electron liquid are calculated in the range of metallic densities. It is observed that the $g(r)$ in this case exhibits an oscillatory behavior for rₛ≥2. This establishes the similarity in the behavior of the electron liquid with that of the classical liquids. Our calculated values of $g(0)$ are found to be positive up to rₛ4.