Maximum compression ratios of elemental solids and corresponding thermodynamic quantities on shock adiabat

A three-term equation of state for elemental solid materials is established, in which the cold energy and pressure are approximated by a fraction of the numerical solution of Thomas-Fermi theory at absolute zero-temperature, the thermal energy and pressure of ions are obtained from Cowan model, and the thermal energy and pressure of electrons are built on the basis of the screened hydrogenic average-atom model of Faussurier. Numerical results show that this model is applicable for elemental solid materials when their compression ratios of density are greater than 2. Moreover, the maximum compression ratios, the corresponding temperature and pressure on the shock adiabat are calculated and compared with other models for elemental solid materials with nuclear charge from 3 to 70. These results can be used to contrast with strong shock wave compression experiments.