Calculation of Electrical Resistivity of Liquid Transition Metals

Abstract

AbstractThe 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(EF)/N0(EF), 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 liquied 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.