Electrophoretic mobility of concentrated spheres with a charge-regulated surface

The electrophoretic behavior of a concentrated spherical colloidal particle is modeled theoretically under the Debye-Hückel condition. The surface of a particle contains dissociable functional groups, the dissociation of which yields negative fixed charges. The model derived is applicable to an arbitrarily thick double layer. We show that the absolute surface potential decreases with the increase in kappa(a); kappa and a are the reciprocal Debye length and the radius of a particle, respectively. Moreover, the variation of the absolute electrophoretic mobility as a function of kappa(a) has a maximum.