Electrophoretic Mobility of Nonuniformly Charged Spherical Particles with Polarization of the Double Layer
โ Scribed by Yuri E. Solomentsev; Yashodhara Pawar; John L. Anderson
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 391 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0021-9797
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โฆ Synopsis
A model is developed to simultaneously account for both a nonuniform zeta potential ((\xi)) on the surface and polarization of the double layer in computing the electrophoretic motion of a spherical particle. The double layer is assumed thin ((\kappa R \gg 1) where (\kappa) is the Debye parameter and (R) the particle's radius) but effects of ion transport within it are included; this work extends the previous theory for nonuniformly charged particles which neglects ion transport within the double layer. The model is generally valid for symmetrically charged electrolytes and any distribution of (\xi) along the surface of a particle as long as the surface gradient is (O\left(R^{-1}\right)). Sample calculations for the electrophoretic mobility are made for a particle when its axis of charge distribution is aligned with the applied electric field. When polarization is important, the mobility depends on the details of the (\zeta)-distribution and not just on the monopole and quadrupole moments as is the case without polarization. Several examples demonstrate that particles having the same mobility at infinite (\kappa R) (no polarization) but different (\xi)-distributions can have significantly different mobilities at finite (\kappa \boldsymbol{R}). (1993 Academic Press, Inc.
๐ SIMILAR VOLUMES
Two sphere interactions were first explicitly dealt with by The electrophoretic mobilities of two interacting spheres are reflections for identical spheres (3) and for dissimilar calculated numerically for arbitrary values of the double-layer spheres (4). These calculations were checked against exac
The dynamic electrophoretic mobility of a pair of nearby spherical particles is analyzed in the case when the thickness of the electrical double layer around each particle is comparable to the particle radius. By means of an integral reciprocal relation, a formal expression is obtained for the force
mobility and values for the other parameters, one can extract The electrophoretic mobilities of two spherical particles are anathe average zeta potential. A comprehensive theory of this lyzed for the case where the electrical double layer is no longer kind is not at present a reality, but approximat
The electrophoretic mobility of a spherical colloidal particle with low zeta potential near a solid charged boundary is calculated numerically for arbitrary values of the double layer thickness by a generalization of Teubner's method to the case of bounded flow. Three examples are considered: a sphe