โ Scribed by Hiroyuki Ohshima
No coin nor oath required. For personal study only.
A theory of the dynamic electrophoretic mobility of a spherical soft particle (that is, a polyelectrolyte-coated spherical particle) in an oscillating electric field is presented. In the absence of the polyelectrolyte layer a spherical soft particle becomes a spherical hard particle, while in the absence of the particle core it tends to a spherical polyelectrolyte. The present theory thus covers two extreme cases, that is, dynamic electrophoresis of hard particles and that of spherical polyelectrolytes. Simple analytic mobility expressions are derived. It is shown how the dynamic electrophoretic mobility of a soft particle depends on the volume charge density distributed in the polyelectrolyte layer, on the frictional coefficient characterizing the frictional forces exerted by the polymer segments on the liquid flow in the polyelectrolyte layer, on the particle size, and on the frequency of the applied oscillating electric field.
๐ SIMILAR VOLUMES
A general expression is derived for the electrophoretic mobility of a soft particle, i.e., a spherical hard colloidal particle of radius \(a\) coated with a layer of polyelectrolytes of thickness \(d\) in an electrolyte solution. In the limit of \(d \rightarrow 0\), the mobility expression tends to
Accurate approximate formulas are obtained for the dynamic electrophoretic mobility of a cylindrical hard colloidal particle in an oscillating electric field for two cases where the cylinder is in a transverse field or in a tangential field. These formulas, expressed in terms of Hankel functions and
In the present paper, we use directly the method of Oh-A general expression for the dynamic electrophoretic mobility shima et al. (9) without decomposing the electrophoresis of a spherical colloidal particle in an oscillating electric field is problem as in Ref. (8) to solve the electrokinetic equat
A general theory is developed for the electrophoretic mobility of spherical soft particles (i.e., spherical hard colloidal particles of radius a coated with a layer of polyelectrolytes of thickness d) in concentrated suspensions in an electrolyte solution as a function of the particle volume fractio
Electrokinetic equations for electrophoresis of a soft particle (that is, a hard particle covered with a layer of polyelectrolytes) have been solved previously under the conditions that the net force acting on the soft particle as a whole (the particle core plus the polyelectrolyte layer) must be ze