Example 10.15: Fermi momentum Show that at temperature T 0 the momentum of the fastest electrons on top of the Fermi distribution is pF



d

π, vF



md

π, (10.102)

where d is the lattice distance.¶¶ Assuming d = n Bohr radii, show that the corresponding velocity is vF = 7× 106/n meters/second.

Example 10.16: Evaluation of Fermi energy Evaluate the Fermi energy of Eq. (10.10) for one ion in a cube of volume (d/2)3 and show that 0

2 2md2

. (10.103)