The Thermodynamic properties of solid and fluid helium-3 and helium-4 above 3 °K at high densities

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Abstract
Measurements have been made of the specific heat at constant volume of solid $^{3}$He from 3 degrees K up to the melting point at a number of different densities corresponding to pressures up to 2000 atm. The measurements have been extended through the melting region at constant volume up to 29 degrees K in the fluid phase. For comparison similar measurements have been made on $^{4}$He at four different densities. By combining these data with the p-V-T data of Mills & Grilly (1955) and Grilly & Mills (1959), the complete thermodynamic properties of the solids have been derived in the relevant pressure and temperature range. The results can be understood semi-quantitatively in terms of the zero-point energy of the solids and a quasi-harmonic model of the lattice vibrations. A brief discussion of the specific heat of the fluid phase is also given.

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