Equations of State for Cu, Ag, and Au for Wide Ranges in Temperature and Pressure up to 500 GPa and Above

New constraints on the volume dependence of the Grüneisen parameter $(γ(V))$ are derived from a comparison of earlier shock wave data with more recent ultrasonic data for the bulk modulus $K0$ and its pressure derivative $K0′$ in the frame of a rigorous Mie–Grüneisen model. This model uses a specially “Modified pseudo-Debye–Einstein model” for an accurate representation of the thermal energy and pressure. Within this framework, previous discrepancies between shock wave and static data concerning the equations of state for various reference materials (like Cu, Ag, and Au) are resolved, the corresponding pressure scale is refined, and the uncertainties in this scale are estimated.