The core conditions of terrestrial planets between one and 10 Earth masses, those most likely to maintain a life-protecting magnetic field, range from a few 100 GPa and several thousand Kelvin to several TPa and over 10,000 Kelvin (Wagner et al., 2011). Because of the great uncertainty of constituent materials at these P-T conditions, we lack understanding of the history and dynamics of the interior of the Earth and other planets, in our solar system and beyond. Astronomers have used ground-and space-based telescopes to discover planets by detecting the transit of a planet across its star, often measuring the mass and radius of these newly discovered planets (