Calculation of the hall effect in ionic solutions

Abstract

The theory of electrical conductance in ionic solutions recently reported by the author has been extended to apply to the transport in combined electric and magnetic fields. Calculations are made with the "brownon" model, essentially the model used in the Debye-Hückel-Onsager conductance theory. General expressions and numerical results are obtained for the ideal and limiting-law terms of the Hall conductance. The calculations indicate that the effect is large enough to be measurable, at least for solutions of the more mobile ions. For symmetrical electrolytes the limiting-law term opposes the ideal term in the Hall conductance, while for unsymmetrical electrolytes it may either aid or oppose the ideal term.