CALCULATION OF ELECTRICAL-RESISTIVITY OF LIQUID TRANSITION-METALS

The transport properties of liquid transition metals are discussed on the basis of Ziman's theory as generalized by Evans, Greenwood, and Lloyd. The effect of d-band resonance in transition metals is simulated in the nearly-free electron approximation where the ordinary (V-matrix) pseudopotential form factor is replaced by the T-matrix form factor in the transport integral. The T-matrix form factor is derived in a closed form from the transition-metal model potential V-matrix form factor by solving the appropriate T-matrix integral equation. The solution takes into account the deviation of the electron density of states at the Fermi level from the free-electron value, through the ratio g = N(E(F))/N0(E(F)), which is estimated from experimental heat capacity and McMillian's electron- phonon renormalization constant in group-B transition metals to have a mean value of order g = 2 for liquid transition metals. Based on this estimate of g and Mott's form of Ziman's formula, the electrical resistivity is calculated for all group-B liquid transition metals using the parameters of the transition-metal model potential obtained by Animalu in 1973. The results are in reasonable agreement with the experiment.