This paper reviews some selected approaches to the description of transport properties, mainly electroconductivity, in crystalline and disordered metallic systems. A detailed qualitative theoretical formulation of the electron transport processes in metallic systems within a model approach is given. Generalized kinetic equations which were derived by the method of the nonequilibrium statistical operator are used. Tight-binding picture and modified tight-binding approximation (MTBA) were used for describing the electron subsystem and the electron-lattice interaction correspondingly. The low- and high-temperature behavior of the resistivity was discussed in detail. The main objects of discussion are nonmagnetic (or paramagnetic) transition metals and their disordered alloys. The choice of topics and the emphasis on concepts and model approach makes it a good method for a better understanding of the electrical conductivity of the transition metals and their disordered binary substitutional alloys, but the formalism developed can be applied (with suitable modification), in principle, to other systems. The approach we used and the results obtained complements the existent theories of the electrical conductivity in metallic systems. The present study extends the standard theoretical format and calculation procedures in the theories of electron transport in solids.

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Electronic transport in metallic systems and generalized kinetic equations

The charge transfer in liquid alloys is discussed in terms of the partial structure factors in the long-wavelength limit and its validity is also examined. Numerical calculations are carried out for liquid Mg-Sn alloys.

Charge transfer in liquid alloys

The composition dependence of the change in the hard-sphere diameters component metal, due to the charge transfer on alloying, is obtained from the entropy and from the structure factor data on the basis of the hard-sphere model. The results obtained in these two different ways agree well with each other and are consistent with the result of the first principles calculation and with the result deduced from the electronegativity.

http://iopscience.iop.org/article/10.1088/0305-4608/11/8/002/pdf

Charge transfer in the liquid Na-K alloy

The charge transfer in liquid alloys discussed previously in terms of the partial structure factors in the low-wavelength limit is modified using the Thomas-Fermi screening of a point charge. This may enable us to apply it to compound-forming liquid alloys which have a considerable volume contraction. Numerical calculations are carried out for liquid Na-K and Na-Hg alloys.

A further extension of charge transfer in liquid alloys

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Electronic Transport in Metallic Systems and Generalized Kinetic Equations

The charge transfer, electrical resistivity, thermoelectric power and Hall mobility of binary alloys are calculated as functions of alloy composition in the coherent potential approximation. The inter-relation among the composition dependences of these physical quantities is discussed on the basis of the numerical results and shown to be consistent within a model.

K Hoshino

Papers

Charge transfer and transport properties of binary alloys in the tight-binding model