On equation of state calculations from experimental zero-temperature isotherms

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Abstract
We propose a framework for calculating equations of state for solids and liquids directly from the experimental zero temperature isotherm. A variational approach with universal reference systems is proposed that incorporates an optimized lattice sum representation for the reference radial distribution function. A tentative lattice sum representation based on the physical picture embodied in the Kerley ad hoc model for fluids is considered for both solids and liquids. By combining models, we show how this approach enables to calculate quantum corrections to the equation of state of the liquid from the Debye temperature of the solid.