Nearly free electron model is used for the s-electron subsystem of liquid transition metals. d-electrons are considered to be bound and serve as an additional scattering factor. Model Hamiltonian of the electron subsystem contains two small parameters: pseudopotential of s-electron-ion interaction, and s-d hybridization potential. The linear response theory of Kubo and the method of two-time retarded Green functions are used to investigate the conductivity of the system. The perturbation series by two small system parameters are first derived for the electrical resistivity of liquid transition metals. To introduce the electron-electron interaction, a random phase approach is employed. The analysis of the second and the third terms of perturbation series is given. Their contribution to the electrical resistivity of all liquid transition metals is estimated.

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The concentration dependance of electroresistivity of the liquid binary alloys of transition metals Fe, Co and Ni is calculated. We considered the contribution to conductivity from the s-electrons, described within the model of nearly free electrons. The role of the partially occupied d-bands is reduced to resonance scattering of the s-electrons on d-states. The interaction of the s-and d-electrons is described by the hybridization potential of s-and d-states. The interaction with the ions, not including the partially occupied d-states, is described using the pseudopotential of the electronion interaction. The electroresistivity of the alloys is calculated in the second order of the perturbation theory in pseudopotential and hybridization potential. The concentration dependance of electroresistivity of the binary alloys approaches the linear regime as the resonance scattering of the s-electrons on d-states prevails over the scattering on the ions. The calculations exhibit good agreement with the experimental data.