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The thermodynamic properties of a nonrelativistic free-electron Fermi gas isof fundamental interest in condensed matter physics. Properties previouslystudied in three-dimensions (3D) in the low- and high-temperature limitsinclude the internal energy, heat capacity, zero-field magnetic spinsusceptibility, and pressure. Here we report solutions for the temperaturedependence spanning these two temperature regimes of the chemical potential,internal energy, magnetic susceptibility, and the heat capacity at constantvolume in 1D, 2D, and 3D. Also calculated are the pressure, enthalpy, heatcapacity at constant pressure, isothermal compressibility, and thermalexpansion coefficient versus temperature in 2D and 3D. Of primary interest hereare the detailed dimension-dependent crossovers of these properties between thedegenerate and nondegenerate temperature regime, which are graphicallyillustrated for each of the above properties.

Thermodynamics of the nonrelativistic free-electron Fermi gas in one,  two, and three dimensions from the degenerate to the nondegenerate  temperature regime