More many-body perturbation theory for an electron-ion system

From previous finite-temperature, quantum, many-body perturbation theory results for the grand partition function of an electron-ion fluid through order e(4), we compute the electron and ion fugacities in terms of the volume per ion and the temperature to that same order in perturbation theory. From these results we also give the pressure, again to the same order in perturbation theory about the values for the non-interacting fluid.