Abstract
I describe the construction of a theoretical equation of state (EOS) for cerium (IV) oxide, CeO2, that includes low- and high-pressure solid phases and the liquid. After a very brief summary of our procedure, I discuss two challenges with this EOS. The first is the presence of high-frequency optical modes in the material's vibrational spectrum, which is difficult to capture with current modeling capabilities. The second is the difficulty of validating a full-density EOS against highly porous Hugoniot data, which requires additional modeling beyond the EOS itself.
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