Dielectric friction and dielectric dispersion in electrolyte solutions with spin

Abstract

A self-consistent continuum model of dielectric friction on a moving ion is developed in which the only adjustable parameters are the hydrodynamic boundary conditions and a ’’rotational viscosity’’ hR. Ion mobility and the solution dielectric properties are calculated as a function of ion size, ion charge, low and high frequency dielectric constants of the solvent, dielectric relaxation time of the solvent, rotational viscosity, and solvent shear viscosity. The consequences of varying hR are investigated: For hR→∞ the continuum theory analyzed by Hubbard and Onsager (HO) is recovered; for small hR, however, the polarization and ’’spin’’ fields in the solvent near the ion differ significantly from the HO model. While this has remarkably little effect on calculated ionic mobilities, the solution dielectric properties are noticeably altered. In particular, the kinetic dielectric decrement diverges as ln hR as hR vanishes.