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Hartmann�s equation of state for Materials at Extreme Compression

Author Affiliations

  • 1Department of Applied Sciences, GLNA Institute of Technology, Mathura (U.P.)-281406, INDIA

Res. J. Recent Sci., Volume 1, Issue (ISC-2011), Pages 365-367,(2012)

Abstract

Hartmann’s equations of state formulated for liquids, polymers and nanomaterials have been demonstrated in the present study to satisfy the thermodynamic constraints at extreme compressions. This reveals the applicability of Hartmann’s equation for materials at very high pressures. We have also derived expressions for the pressure derivatives of bulk modulus up to third order. The expressions thus derived have been verified with the help of identities which are valid at extreme compressions. An application of the Hartmann equation has been presented here to predict the pressure-volume-temperature relationships for NaCl crystal and CaSiO3 perovskite mineral. The results obtained in the present study are found to compare well with the experimental data.

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