Electron correlation effects on the dielectric function of liquid metals

The acoustic excitations of the expanded metal solutions Li-NH$_3$ have been measured by inelastic X-ray scattering as a function of the electron density by changing the Li concentration. The dielectric functions of these model metals with very low electron density have been derived from the high frequency sound velocity using the one component plasma approach corrected for screening. Their values, when combined with those from other metals, suggest that the electron correlation induced departure of the dielectric function from the random phase approximation follows a universal behavior whose main parameter is the electron density.