“…Previously, the EOS for silicate liquids at high pressures relevant to the Earth's upper mantle and transition zone was mainly constrained using the density data obtained by static compression such as sink‐float (e.g., Agee, ; Agee & Walker, ; Ghosh et al, ; Jing & Karato, ; Matsukage et al, ) and X‐ray absorption experiments (e.g., Malfait et al, ; Sakamaki et al, ; Seifert et al, ). However, the obtained EOS often have large uncertainties due to the scarcity of data from sink‐float measurements and the limited pressure range for X‐ray absorption method (e.g., Agee, ; Agee & Walker, ; Malfait et al, ): There exists a large trade‐off between the fitted bulk modulus ( K ) and its pressure derivative ( K′ ) due to the strong correlation between these two EOS parameters (Bass et al, ; Jing & Karato, ). Hugoniot data obtained by shock compression (e.g., Asimow & Ahrens, ; Rigden et al, ; Thomas & Asimow, ) can help place tighter constraints on K and K′ due to the wider pressure range in the measurements, but the reduction of shock‐wave data requires assumptions on high‐pressure thermal properties since shock temperatures were not determined directly in these experiments.…”