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A Broad Based Analysis of the Thermodynamics of Equation of State of Materials

Elucidation of the Temperature and Pressure Dependence of Basic Thermophysical Quantities and a Generalised Representation of the Thermophysical Equation of State
Subramanian Raju and Eledath Mohandas


A basic description of the influence of temperature and pressure on the thermophysical properties of condensed phases is attempted. A thermodynamically rigorous and a generalised thermophysical equation of state is formulated. This equation serves to relate in an explicit manner the basic state variables namely, pressure, volume and temperature with important thermophysical parameters such as specific heat, isothermal pressure derivatives of enthalpy, thermal expansion, bulk modulus etc. The versatility of this generalised thermophysical equation of state is demonstrated by deducing from it various existing and new approximate relations regarding the pressure and temperature dependence of elastic and thermodynamic properties. This general formulation will be useful in the interpolation, extrapolation and the assessment of the internal consistency of an existing thermodynamic and thermophysical data base. The thermophysical properties of aluminium are discussed as an illustrative application of the relations developed in this paper.

This paper is dedicated to the fiftieth anniversary of the Indian independence.

S. Raju, E. Mohandas Physical Metallurgy Section, Metallurgy Division Indira Gandhi Centre for Atomic Research Kalpakkam 603102 India


1 Ross, R.G.: J Phys. Chem. Solids 53 (1992) 857.Search in Google Scholar

2 Finn, C.B.P.: Thermal Physics, 2nd ed., Chapman & Hall, London (1993).Search in Google Scholar

3 Borelius, G.: Solid State Physics 6 (1958) 65.Search in Google Scholar

4 Reid, R.C.; Prausnitz, J.M.; Sherwood, J.K.: The Properties of Gases and Liquids, 3rd ed., McGraw-Hill, New York (1977).Search in Google Scholar

5 Anderson, O.L.; Zou, K.: J. Phys. Chem. Ref. Data 19 (1990) 69.Search in Google Scholar

6 Kumar, M.; Upadhyay, S.P.: J. Phys. Chem. Solids 55 (1994) 207.Search in Google Scholar

7 Tallon, J.L.: J. Phys. Chem. Solids 41 (1980) 837.Search in Google Scholar

8 Leont’ev, K.L.:High Temperature 19 (1981) 62.Search in Google Scholar

9 Dhoble, A.; Verma, M.P.: phys. stat. sol. (b) 133 (1986) 491.Search in Google Scholar

10 Kumari, M.; Dass, N.: phys. stat. sol. (b) 133 (1986) 101.Search in Google Scholar

11 Wallace, D.C.: Thermodynamics of Solids, John Wiley & Sons, New York (1972).Search in Google Scholar

12 Fernandez-Guillermet, A.: J. Phys. Chem. Solids 47 (1986) 605.Search in Google Scholar

13 Xia, X.; Xiao, J.-K.: J. Phys. Chem. Solids 54 (1993) 629.Search in Google Scholar

14 Shanker, J.; Kushwah, S.S.; Kumar, P.:Physica B233 (1997) 78.Search in Google Scholar

15 Kumar, M.; Upadhyay, S.P.: J. Phys. Chem. Solids 54 (1993) 773.Search in Google Scholar

16 Tallon, J.L.; Wolfenden, A.: J. Phys. Chem. Solids 40 (1979) 831.Search in Google Scholar

17 Knacke, O.; Kubaschewski, O.; Hesselmann, K.: Thermochemical Properties of Inorganic Substances, 2nd ed., Springer, Berlin, Vol. 1 (1991) 19.Search in Google Scholar

18 Raju, S.; Mohandas, E.: Unpublished Results (1997).Search in Google Scholar

Received: 1998-01-08
Published Online: 2021-12-30

© 1998 Carl Hanser Verlag, München