First-principles equation of state database for warm dense matter computation

We put together a first-principles equation of state (FPEOS) database for matter at extreme conditions by combining results from path integral Monte Carlo and density functional molecular dynamics simulations the elements H, He, B, C, N, O, Ne, Na, Mg, Al, Si as well compounds $\mathrm{LiF}, {\mathrm{B}}_{4}\mathrm{C}, \mathrm{BN}, {\mathrm{CH}}_{4}, {\mathrm{CH}}_{2}, {\mathrm{C}}_{2}{\mathrm{H}}_{3}, \mathrm{CH}, {\mathrm{C}}_{2}\mathrm{H}, \mathrm{MgO}, \mathrm{and} {\mathrm{MgSiO}}_{3}$. For all these materials, we provide pressure internal energy over density-temperature range $\ensuremath{\sim}0.5$ to 50 g ${\mathrm{cm}}^{\ensuremath{-}3}$ $\ensuremath{\sim}{10}^{4}$ ${10}^{9}$ K, which are based on $\ensuremath{\sim}5000$ different simulations. compute isobars, adiabats, shock Hugoniot curves in regime $\mathrm{L}$- $\mathrm{K}$-shell ionization. Invoking linear mixing approximation, study properties mixtures high temperature. derive water alumina carbon-oxygen, helium-neon, CH-silicon mixtures. predict maximal compression ratios ${\mathrm{H}}_{2}\mathrm{O},$ ${\mathrm{H}}_{2}{\mathrm{O}}_{2},$ ${\mathrm{Al}}_{2}{\mathrm{O}}_{3}, \mathrm{CO}, {\mathrm{CO}}_{2}$ be 4.61, 4.64, 4.89, 4.83, respectively. Finally use FPEOS determine points maximum available binary identify that reach higher than their end members. discuss trends common pressure-temperature particle-shock velocity spaces. In Supplemental Material, tables computer codes interpolation, calculations, plots various thermodynamic functions.