Analysis of melting of pyrope compound at high pressures

The pressure–volume–temperature relationships have been studied for the pyrope mineral. Values of volumes at simultaneously elevated temperatures and pressures have been evaluated using the Rydberg-Vinet equation of state for isothermal compression and the Singh–Suzuki equation for isobaric thermal expansion. It has been found that the results obtained from these two conventional equations can be reproduced very well by a single equation of state which covers both temperature and pressure changes in solids namely the Hartmann equation of state. Values of volumes at melting temperatures corresponding to elevated pressures have been obtained and found to compare well with the experimental values. It is also found that there exists a simple linear relationship between relative change in melting volume and melting temperature in case of pyrope at different pressures. This is supported by the earlier findings of Anderson in case of forsterite mineral.

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