Multiple plane wave calculation of the resistivity of Pb and dilute Pb alloys

We compare with each other and with experiment results for the ideal resistivity of Pb based on several approximate solutions of the Boltzmann transport equation. The Fermi surface geometry, Fermi velocities, and electronic wave functions in the four plane wave model are calculated from the pseudopotential of Anderson and Gold obtained from de Haas – van Alphen data. The lattice dynamics is taken from the Born–von Karman force constant model of Cowley obtained from neutron scattering data on the dispersion curves. In the electron–phonon matrix element, we use the pseudopotential form factor of Appapillai and Williams. The calculations are extended to the case of Mg in Pb and deviations from Matthiessen's rule obtained.