Theoretical Prediction of Thermal Pressure for Geophysical Minerals

ISSN: 1877-9476 (Online)
ISSN: 1877-9468 (Print)


Volume 4, 4 Issues, 2014


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Current Physical Chemistry

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Editor-in-Chief:
Ruhong Zhou
IBM Thomas J. Watson Research Center and Columbia University
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NY 10598
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Theoretical Prediction of Thermal Pressure for Geophysical Minerals

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

Affiliation: Deptt. of Applied Science, Ansal Technical Campus, Lucknow, India.

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 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.

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.

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Article Details

Volume: 4
Issue Number: 2
First Page: 195
Last Page: 201
Page Count: 7
DOI: 10.2174/1877946802999140413215148
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