Abstract
We derive analytic formulas for the interaction and excess-free energies of dense hydrogenic plasmas, which accurately parametrize the numerical data calculated earlier in the hypernetted chain approximation at an intermediate Fermi degeneracy of the electrons and which exactly satisfy the known boundary conditions at complete degeneracy as well as in the weak- and strong-coupling regimes. The resulting equation of state is valid over a wide range of densities and temperatures, as long as the system is in a liquid-metallic state.
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