Jp. Hsu et Yc. Kuo, NET PENETRATION CHARGES OF AN ION-PENETRABLE MEMBRANE IN A GENERAL ELECTROLYTE SOLUTION, Journal of colloid and interface science, 176(1), 1995, pp. 256-263
An analytical expression is derived for the net amount of charges pene
trating into a membrane, which is immersed in an electrolyte solution.
The membrane carries fixed charges due to, for example, the dissociat
ion of the functional groups it carries. Planar, cylindrical, and sphe
rical membranes and a general electrolyte solution are considered. The
estimation of the amount of penetration charges is essential to the d
escription of membrane properties. We show that the amount of fixed ch
arges and the potential gradient at the membrane-liquid interface are
two key factors to determine the net amount of charges penetrating int
o a membrane. The deviation of the present approximate result from the
corresponding exact value, which needs to be evaluated numerically, i
s on the order of 5%. (C) 1995 Academic Press, Inc.