Calculation of Sound Velocities of Liquid Metals at their Melting Point via the Percus-Yevick Theory of Melting

Abstract

In this brief note, we utilize the 3N collective coordinate theory of liquids of Percus and Yevick¹ as applied to the phenomenon of melting by Omini² to calculate the sound Velocities in various simple liquid metals at their melting temperatures. We perform this calculation by taking derivatives of Omini's² calculated Percus-Yevick dispersion relations for their “liquid phonon” collective coordinate elementary excitations of the liquid. We compare these calculated sound velocities with experimental data, where possible, to ascertain the validity of the liquid phonon dispersion relation as a source of sound velocities.