Theoretical Analysis of Experimental Thermoelectric Characteristics of Silicon-Based Whiskers

It is shown that when a conductive crystal with electric field strength and a temperature gradient is placed in a magnetic field with an induction vector , processes of charge and heat carriers transport occur, and they can be described by known generalized electrical conduction and heat conduction equations. The tensors and scalar coefficients that make up these equations are the kinetic properties of crystals. They describe the nature of actual properties of crystals and have a wide pragmatic application in modern solid-state electronics. The process of spatial quantization of the spectrum and its influence on the kinetic properties of crystals is also analyzed.

A set of important kinetic properties of crystals and their general statistical calculations

In non-equilibrium thermodynamics, the generalized equations of electric conductivity and heat conductivity are well known. They describe the response of the conductive medium to the effect of the drift fields in it and the magnetic field. These equations include phenomenological tensors and coefficients that determine the whole set of important kinetic properties of conducting crystals. Therefore, in order to find out the nature of crystal properties, it is necessary to clarify the nature of the set of kinetic tensors and the coefficients included in the general equilibrium of electrical conductivity and thermal conductivity. In this article, we will calculate the whole complex of these important quantities for isotropic crystals by statistical physics methods for general conditions of observation. And show the effect of spatial quantization on kinetic properties in 2D and 1D crystals.