Results of the Sommerfeld expansion

Chemical potential μ
Internal energy
Specific heat
Entropy
Helmholtz free energy
Pressure
Bulk modulus

The density of states at the Fermi energy and the derivative of the density of states at the Fermi energy are given for a few materials in the table below.

	D(E_F) J^-1 m^-3	D'(E_F) J^-2 m^-3
Al	1.3 × 10⁴⁷	-5.8 × 10⁶⁵
Cu	1.5 × 10⁴⁷	-1.2 × 10⁶⁵
K	7.4 × 10⁴⁶	3.3 × 10⁶⁵
Li	1.5 × 10⁴⁷	7.0 × 10⁶⁵
Na	8.4 × 10⁴⁶	2.2 × 10⁶⁵
V	9.9 × 10⁴⁷	-8.9 × 10⁶⁵

Plots of the band structure and the density of states for most metals can be found in: D. A. Papaconstantopoulos, Handbook of the band structure of elemental solids, Plenum Press (1986).