Equation of state of MgSiO3 post-perovskite

Abstract:

Super-Earths which have a few times of the Earth’s mass have been found in the extra solar system one after another. MgSiO₃ post-perovskite (PPv) is an abundant silicate phase in such huge terrestrial planet’s mantle (Tsuchiya and Tsuchiya, 2011). For preliminary internal structure estimation, the mass-radius relation was used (Zeng et al. 2013). Above 120 GPa, the mass-radius relation for MgSiO₃ end-member is calculated from the equations of state (EoS) of PPv. Although the pressure condition of super-Earth’s mantle reaches several hundreds GPa, the previously reported EoSs of PPv by the diamond anvil cell (DAC) experiment were limited up to around 150 GPa. These EoSs were extrapolated to multi-megabar condition for the calculation of the mass-radius relation. The large extrapolation yields uncertainty. The direct determination of the compression behavior of PPv at multi-megabar pressure is, therefore, important to understand the super-Earth’s interior.
 Here we report PPv EoS up to 275 GPa based on DAC experiment and up to 1 TPa and 6000 K by ab initio calculation based on the density-functional theory in the same manner as Tsuchiya et al. (2004).　Volume data were obtained up to 275 GPa by the DAC experiment and fitted to the third order Birch-Murnaghan EoS and the Vinet EoS. The experimental EoS agrees excellently with the calculated ab initio volume data within 0.5 % up to 500 GPa and 3000 K. The volume differences between the present result and those calculated by Caracas and Cohen (2008) were about 2.0-2.6 % in pressure range of 100-500 GPa at room temperature, while the volume differences were only 1 % with respect to the EoS based on shock experiment data (Mosenfelder et al. 2009) in the same pressure range. The present EoS shows internal consistency among DAC, shock and ab initio data up to 500 GPa within 1% in volume. Our new EoS provides more precise mass-radius relation for MgSiO₃ end-member.