STATISTICAL THEORY OF DIELECTRIC PROPERTIES AND RELAXATION PROCESSES OF ELECTROLYTE SOLUTIONS

On the basis of kinetic equations for unary and binary distribution function, analytical expressions for dynamic dielectric coefficients ε₁(ν) and dielectric loss ε₂(ν) of electrolyte solutions have been obtained for cases when the restoration of the equilibrium structure of the solution occurs according to the law of diffusion or exponentially. Under a certain choice of the intermolecular interaction potential Φ_ab(|r|) and radial distribution function g_ab(|r|), numerical calculations of ε₁(ν) and ε₂(ν) as a function of temperature T, density ρ, concentration C, and frequency ν have been carried out for aqueous solutions of sodium chloride. The obtained results of numerical calculations are in qualitative agreement with the experimental data. The frequency dispersion of ε₁(ν) and ε₂(ν) coefficients depending on the mechanism of relaxing flow attenuation has been investigated. It is shown that the frequency dispersion region of ε₁(ν) and ε₂(ν), based on the diffusion mechanism, is wide ~10⁵ Hz, and in the case of exponential damping of the relaxing flow, is narrow ~10² Hz, which is consistent with the results of phenomenological relaxation theory.

dielectric permittivity and dielectric loss coefficients, friction coefficients, relaxation times, potential interaction energy and radial distribution function