An experimental high-temperature thermal equation of state bypassing the Grüneisen parameter

Physics

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Scientific paper

A method for computing the isochore thermal equation of state (EOS) is described which does not depend upon the use of the theoretical Mie-Grüneisen EOS. The method involves the use of integral calculus, equations being soluble using experimentally obtainable data, obviating the necessity of computing the general Grüneisen parameter. Effects of anharmonicity are studied and found to be slight in the case of well packed minerals, hence these effects are ignored in the interpretation of data for Al2O3 and MgO, which are used to illustrate the method. Results of experiments on thermal pressures for Al2O3 and MgO at one atmosphere are extrapolated to core-mantle temperatures. The parameter αKT is defined and shown to be independent of any variable dependent on V and T.

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