The electrophoretic mobility of hydrophobic polystyrene particles in aqueous monovalent electrolyte solutions is analyzed using standard electrokinetic equations with a hydrodynamic boundary condition called the Navier slip condition, in which a fictitious slip length is a parameter for a slip velocity, at the particle surface. The standard electrokinetic equations underestimate the mobility of polystyrene particles bearing lower surface charge density when using the values of surface charge density from titration and a no-slip boundary condition. The introduction of the slip length of a few nanometer increases the magnitude of electrophoretic mobility and leads to the agreement between experimental mobility and theoretical mobility. The slip length increases with increasing the distance between chargeable groups on the particle surface. This result indicates the increase in hydrophobicity for the surface of polystyrene particle with the lower number of chargeable sites.

中文翻译：

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低表面电荷密度疏水聚苯乙烯粒子的电泳迁移率分析：流体动力学滑移的影响

使用标准电动方程分析疏水性聚苯乙烯颗粒在单价电解质水溶液中的电泳迁移率，该方程具有称为 Navier 滑移条件的流体动力学边界条件，其中虚拟滑移长度是颗粒表面滑移速度的参数。当使用滴定和无滑移边界条件的表面电荷密度值时，标准电动方程低估了具有较低表面电荷密度的聚苯乙烯颗粒的迁移率。几纳米滑移长度的引入增加了电泳迁移率的大小，并导致实验迁移率与理论迁移率之间的一致性。滑移长度随着颗粒表面上带电基团之间距离的增加而增加。