Theoretical Prediction of Thermal Pressure for Geophysical Minerals
Anjani K. Pandey and Harendra K. Rai
Affiliation: Deptt. of Applied Science, Ansal Technical Campus, Lucknow, India.
Keywords: Anderson-gruneisen parameter, harmonic effect, equation of state (EOS), debye temperature, eulerian strain, finite
strain theory, geophysical minerals, gruneisen relation, hardy’s theory, isothermal bulk modulus, lattice potential energy,
pressure derivative of isothermal bulk modulus, thermal pressure, thermo elastic properties, volume expansion.
PACS: 64.10.+h; 64.30.-t; 62.20.D-; 62.50.-p.
Thermo elastic properties of materials at high temperature are directly related to the thermal pressure and
volume of expansion of the materials. In the present work we have made a comparative study of temperature dependence
of thermal pressure for geophysical minerals viz. MgO, Al2O3, Grossular Garnet, Olivine and Pyrope rich Garnet by using
Suzuki formulation and Maxwell’s formulation. It is observed that ΔPTh calculated by using Suzuki formulation is in good
agreement with the experimental values up to 800K, but after this limit there is a deviation from experimental values,
whereas, in case of Maxwell’s formulation the agreement is valid only upto T=300K. This departure in the agreement has
been interpreted using Hardy’s Theory.
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