1. The Fermi energy of lithium is 4.72 eV.
(a) Calculate the Fermi velocity.
(b) Calculate the de Broglie wavelength of an electron moving at the Fermi velocity and compare it to the interatomic spacing.
2. The Fermi energy for lithium is 4.72 eV at T = 0°K. Find the density of states at 3.0 eV.
3. Calculate an approximate ratio of the electronic specific heat to the lattice specific heat of lithium at room temperature. (Hint: Use the results of Example 13-2, and justify this use.)
Example 13-2
Make an estimate of the relative number of conduction electrons in a metal which are thermally excited to higher energy states.