Conductivity and Hall Effect in the Intrinsic Range of Germanium

Conductivity and Hall effect have been measured in the intrinsic range of germanium from 250^∘{} to 1000^∘{}K. From lattice-scattering mobility and conductivity below 500^∘{}K, a new empirical expression for carrier concentration is determined: np=3.10×10³²T³exp(-0.785/kT). An estimate is made of the contribution of optical modes to the lattice-scattering mobility. Conductivity from 500^∘{} to 1000^∘{} and Hall effect from 250^∘{} to 1000^∘{} are computed and compared with experiment. Included in the computation are: the empirical expression for carrier concentration modified by the change in intrinsic ionization energy produced by electrostatic interaction of charge carriers, extrapolated empirical lattice scattering mobility, scattering by electron-hole collisions, and an extrapolation of the ratio Hall mobility/conductivity mobility.