Thermodynamic quantities of Coulomb plasmas consisting of point-like ions immersed in a compressible , polarizable electron background are calculated for ion charges Z = 1 to 26 and for a wide domain of plasma parameters ranging from the Debye-Hückel limit to the crystallization point and from the region of nondegenerate to fully degenerate nonrelativistic or relativistic electrons .
The calculations are based on the linear-response theory for the electron-ion interaction , including the local-field corrections in the electronic dielectric function .
The thermodynamic quantities are calculated in the framework of the N -body hypernetted-chain equations and fitted by analytic expressions .
We present also accurate analytic approximations for the free energy of the ideal electron gas at arbitrary degeneracy and relativity and for the excess free energy of the one-component plasma of ions ( OCP ) derived from Monte Carlo simulations .
The extension to multi-ionic mixtures is discussed within the framework of the linear mixing rule .
These formulae provide a completely analytic , accurate description of the thermodynamic quantities of fully ionized electron-ion Coulomb plasmas , a useful tool for various applications from liquid state theory to dense stellar matter .