Question

(d) For an electron in a box (volume V = L 3 ), the travelling wave states are characterised by vector k values, where kx = (2π/L) n1, ky = (2π/L) n2, kz = (2π/L).n3. The number of k-states in the region of k-space between kx and kx + dkx , ky and ky + dky , kz and dkz is written as ρe(k) dkx dky dkz . Show that the density of electron k- states as a function of k is ρe(k) = 3 4 V when an additional factor of 2 to take account of spin is taken into consideration.

Answer 1