Lattice-Scattering Mobility in Germanium

The temperature dependence of lattice-scattering mobility in germanium is determined from conductivity. It is found to be $T^{-1.66\mathrm{}}$ for electrons and $T^{-2.33\mathrm{}}$ for holes. The result for holes suggests that the valence band is not at the center of the Brillouin zone. The ratio Hall mobility/conductivity mobility is also determined. It is found to be constant with temperature at ∼1.05 for electrons. The ratio for holes shows significant temperature dependence. This suggests that the valence band is composed of multiple surfaces of minimum energy.