Measurement temperature ranges of isobaric heat capacities (
CP) and thermal expansivities (α) of high-pressure stable materials such as Earth’s mantle minerals are usually limited due to breakdown of the crystal structures, back transformation to lower pressure phases or amorphization by heating at 1 atm. In this study, α and
CP at 1 atm and high temperatures were theoretically calculated based on lattice vibrational information. Pressure dependences of vibrational frequencies of the mantle minerals were measured by high-pressure micro-Raman spectroscopy using a diamond anvil cell high-pressure apparatus. Thermal Grüneisen parameter (γ
th) was determined by weighted average of mode Grüneisen parameters derived from the pressure dependence of the vibrational frequencies. The obtained γ
th was applied to α calculation using the Grüneisen relation equation. Furthermore,
CP was calculated by lattice vibrational model calculation using the Kieffer model, in which the obtained α was used to calculate anharmonic contribution. The calculated
CP values show good agreement with the measured ones. The series of calculations of α and
CP enables us to
make reliable extrapolation of measured
CP and α data to higher temperatures than maximum measurement temperature.
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