Theory of the Diffuse Double Layer in Liquids

The theory of the diffuse double layer in liquids, as developed by Jaffe for plane, parallel, blocking electrodes, is extended to include the ionic charges as boundary conditions and the effects of a surplus of one ion. Dissociation and recombination effects are included. The results are expressed in terms of elliptic integrals and Jacobian elliptic functions. It is found that the electrically neutral condition can be divided into three regions designated field limited dielectrics, charge limited dielectrics, and electrolytes. Approximations of the exact expressions are developed for each region.