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Temperature and pressure dependence of the mode Gruneisen parameters close to the melting point in hexagonal ice

We reexamine the Pippard relations in this study by relating the specific heat C-P to the Raman frequency shifts 1/v(partial derivative v/partial derivative T)(P) and the thermal expansivity alpha(p) to the 1/v(partial derivative v/partial derivative P)(T), when the mode Gruneisen parameter depends on the temperature and pressure close to the melting point in hexagonal ice. From linear relations between them, the values of the slope dP/dT are deduced in this crystal.