  The thermodynamic properties of a nonrelativistic free-electron Fermi gas is
of fundamental interest in condensed matter physics. Properties previously
studied in three-dimensions (3D) in the low- and high-temperature limits
include the internal energy, heat capacity, zero-field magnetic spin
susceptibility, and pressure. Here we report solutions for the temperature
dependence spanning these two temperature regimes of the chemical potential,
internal energy, magnetic susceptibility, and the heat capacity at constant
volume in 1D, 2D, and 3D. Also calculated are the pressure, enthalpy, heat
capacity at constant pressure, isothermal compressibility, and thermal
expansion coefficient versus temperature in 2D and 3D. Of primary interest here
are the detailed dimension-dependent crossovers of these properties between the
degenerate and nondegenerate temperature regime, which are graphically
illustrated for each of the above properties.
