Consider a solid piece of Lithium, Li, which is a metal and has electron density n = 4.70 × 1022 cm−3 . Assuming a free-electron quantum model, i.e., the Sommerfeld model, determine the, Fermi energy, density of states, and number of available states up to an energy of 4 eV for a cubic piece of Li of side 1 mm.

Consider a solid piece of Lithium, Li, which is a metal and has electron density n = 4.70 × 1022 cm−3 . Assuming a free-electron quantum model, i.e., the Sommerfeld model, determine the, Fermi energy, density of states, and number of available states up to an energy of 4 eV for a cubic piece of Li of side 1 mm.