A Mie-Gruneisen Equation of State for ICF Applications

We develop and test a relatively simple Mie-Grunesen equation of state (EOS) that incorporates a condensed matter -- vapor change of phase for possible application in inertial confinement fusion (ICF) calculations. The pressure and energy equations are polynomial functions of temperature and volume that self-consistently model molecular repulsion and attraction. These EOS are uniquely characterized by only four parameters (e.g., critical point, and coherence energy); additional data provides self-consistency tests. Characterizing parameters and self-consistency tests are collected for a variety of materials with special attention to the metal Beryllium and the molten salt Flibe (LiF-BeF$_{2})$.