Experimental results on the pressure dependence of the Grüneisen parameter: A review

The pressure dependence of the Gruneisen parameter can be determined by the measurement of temperature changes associated with adiabatic compression using the thermo-dynamic relationship γ = Bs/T (∂T/∂P)s. Bs, the adiabatic bulk modulus, is known from ultrasonic measurements. The measurement of (∂T/∂P)s is carried out in an end-loaded piston cylinder apparatus at pressures up to 35 kbar using a fluid cell. Results are presented for a series of fluids, metals, salts, and minerals. For fluids an increase in γ with pressure is observed. For all solids investigated, γ decreases with pressure. A drastic increase in γ is observed when a substance undergoes a phase transition. We find a systematic behavior of (∂T/∂P)s versus volume except for minerals. The average value of q = −(∂l nγ/∂l nV)T is 1.3. The value of γ for iron at a compression equivalent to the core mantle boundary is discussed, but the uncertainties are too large to permit us to predict with confidence γ for iron at the temperatures and pressures of the core.

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