Spin-electron exchange model is generalized and used for description of magnetic states of amorphous substitutional alloys with the structural disorder of the liquid type. A scheme of consistently accounting for the contributions of structural fluctuations to the thermodynamic functions and observable quantities is considered. Using the perturbation theory, the functional of thermodynamic potential is constructed as a functional power series. In the random phase approximation (RPA), the grand thermodynamic potential of the model is calculated. Self-consistency conditions are given, from which equations for magnetizations and critical temperature of the paramagnetic-ferromagnetic transition are obtained.

Generalization of the Anderson model to describe the states of electronegative impurities in liquid-metal alloys is the main aim of the present paper. The effects of the random inner field on the charge impurity states is accounted for selfconsistently. Qualitative and quantitative estimation of hamiltonian parameters has been carried out. The limits of the proposed model applicability to a description of real systems are considered. Especially, the case of the oxygen impurity in liquid sodium is studied. The modelling of the proper electron-ionic interaction potential is the main goal of the paper. The parameters of the proposed pseudopotential are analyzed in detail. The comparison with other model potentials have been carried out. Resistivity of liquid sodium containing the oxygen impurities is calculated with utilizing the form-factor of the proposed model potential. Dependence of the resistivity on impurity concentration and on the charge states is received.

In the paper we investigate the distribution function of a diagonal type of disorder, their relation with microscopic model parameters and structural correlation functions. The conditions are obtained for which the distribution of random values of atomic energy levels will be of Gauss type. The numerical analysis of dispersion D is performed. The distribution to the hydrogen-like atom chemisorption on an amorphous system is applied.

Structurally disordered s-d model of magnetism in metals is investigated. The simplified model of binary alloy structure is offered, the structural correlation functions are calculated. The self-consistent equations for calculation of a spectrum, magnetization, electronic spin polarization and temperature of phase transition are obtained.

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