Theory of electron liquids. II. Static and dynamic form factors, correlation energy, and plasmon dispersion

We use the Ceperley and Alder Green's-function Monte Carlo data for the static form factor, S(q), of an electron liquid to calculate the static local-field correction, G(q), to the dielectric function which takes into account short-range electron correlations. The resulting local-field correction in the long-wavelength limit is obtained by smoothly fitting to the results of Iwamoto and Pines, which are exact in this limit. We use the G(q) thus obtained to calculate the static and dynamic form factors, the contribution to the correlation energy from different momentum transfers, plasmon dispersion, and the plasmon-dispersion coefficient. We compare these theoretical quantities with the available experimental data, and use the 3-sum rule (which we also calculate from the Monte Carlo data) to discuss the limitations arising from the use of the static local-field correction.