Ohshima H
Faculty of Pharmaceutical Sciences and Institute of Colloid and Interface Science, Science University of Tokyo, 12 Ichigaya Funagawara-machi, Shinjuku-ku, Tokyo , 162, Japan
J Colloid Interface Sci. 1997 Jan 1;185(1):131-9. doi: 10.1006/jcis.1996.4563.
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 modified Bessel functions, are suitable for numerical calculation for all kappaa (kappa is the Debye-Huckel parameter and a is the particle radius) at zero particle permittivity and low zeta potentials. The dynamic mobility in a tangential field is shown to depend on kappaa in contrast to the static case, where it is independent of kappaa. The dynamic mobility of a cylinder averaged over a random distribution of orientation of the cylinder axis is roughly equal to the mobility of a sphere with a radius of 1.5 times the cylinder radius.
对于圆柱状硬胶体颗粒在振荡电场中的动态电泳迁移率，在两种情况下获得了精确的近似公式，即圆柱处于横向场或切向场。这些用汉克尔函数和修正贝塞尔函数表示的公式，适用于在零颗粒介电常数和低zeta电位下对所有κa（κ是德拜 - 休克尔参数，a是颗粒半径）进行数值计算。与静态情况不同，切向场中的动态迁移率显示出依赖于κa，在静态情况下它与κa无关。圆柱轴取向随机分布平均后的圆柱动态迁移率大致等于半径为圆柱半径1.5倍的球体的迁移率。
