Theoretical Transport Coefficients for Polar Semiconductors

The mobility, thermoelectric power and weak field Hall coefficient have been calculated when the charge carriers of a polar semiconductor are scattered by an optical mode of vibration of the lattice. The collision operator derived by Fröhlich, and Howarth and Sondheimer was used, and the Boltzmann transport equation was integrated directly on an electronic computer. Results are given for 2θ ⩾ T ⩾ θ/2 and 5 ⩾ η ⩾ -2. (η is the reduced Fermi level, θ = ν 1 h/k , and ν 1 is the frequency of the longitudinal optical mode.) These results are compared where possible with those obtained from a different method of calculation by Howarth, Lewis and Sondheimer. Rough values are also given for the Lorenz number and weak field Ettingshausen coefficient.