Temperature dependence of the liquid structure factor of dense monatomic fluids in the long wavelength limit in relation to thermal expansivity

The temperature dependence of the liquid structure factor S(k) of dense monatomic fluids, and especially a variety of liquid metals, is studied by combining thermodynamics and fluctuation theory in the long wavelength limit k -> 0. Emphasis is placed on the connection of partial derivative S(0)/partial derivative T with thermal expansivity. Reference here is then made to recent semiempirical work of Lawson, who advocated an approximate relation, but at the melting temperature T-m, between [S(0)](Tm) and the Gruneisen constant.