Theoretical Prediction of Thermal Pressure for Geophysical Minerals

Title:Theoretical Prediction of Thermal Pressure for Geophysical Minerals

Volume: 4 Issue: 2

Author(s): Anjani K. Pandey and Harendra K. Rai

Affiliation:

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.

Abstract: 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 ΔP_Th 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.

Cite this article as:

K. Pandey Anjani and K. Rai Harendra, Theoretical Prediction of Thermal Pressure for Geophysical Minerals, Current Physical Chemistry 2014; 4 (2) . https://dx.doi.org/10.2174/1877946802999140413215148