A Theoretical Study of Mobilities and Activity Coefficients of Small Ions in Charged Membranes

Abstract

Relation between the activity and mobility of small ions in charged membrane is derived theoretically using a cell model, where each macro-ion attached to the membrane matrix is assumed to be located at the center of individual cell. The result obtained shows that the mobilities of small ion are linearly proportional to the activity coefficient of the corresponding ion species in the membrane. This conclusion is consistent with the experimental results reported in a previous series of papers.