Reduction of shock-wave data with mean-field potential approach

Based on ab initio calculated 0 K results for the assumed face- or body-centered-cubic ground state, the thermal volume expansion of the principal Hugoniot relative to the 300 K isotherm is calculated using the recently developed mean-field potential approach for Cu, Ta, Mo, Pt, and Au. Neglecting shock melting and phase dependence of the high-temperature equation of state, shock-reduced 300 K isotherms at pressures up to 1 TPa (10 Mbar) are derived for these metals by substracting the calculated thermal volume expansion from the experimental shock-wave data. This approach does not invoke any empirical assumptions regarding the Grüneisen parameters or heat capacities. The excellent agreement between such shock-reduced data and the normal standards or empirical reductions by other authors shows that the reduced results can be used as pressure standards for the widely employed static diamond-anvil-cell experiments.