Egorova E M
A. N. Frumkin Institute of Electrochemistry, Russian Academy of Sciences, Moscow.
Electrophoresis. 1995 Jun;16(6):905-10. doi: 10.1002/elps.11501601153.
The Dukhin-Deryaguin equation, used in the modern theory of electrophoresis for the calculation of electrophoretic mobility (EPM) in the region of double layer polarization, is known from literature [4-6] in its form (DD1) valid for the equal mobilities of the cation and anion in solutions of symmetrical electrolytes. Here we describe the other version of this equation (DD2), for arbitrary ion mobilities in 1:1 electrolytes. The EPMs calculated from this latter version are in good agreement with an exact computer solution [12]. The use of DD2 is illustrated in a series of EMP vs. IgC curves, calculated for selected examples of negatively charged lipid membranes. In addition, we describe two simplified versions of DD2, which are valid, respectively, for the high zeta potentials and when the electroosmotic component of ions' fluxes at the charged surface is neglected. Comparing DD2 with DD1 shows that the latter equation results in an error which may exceed the experimental dispersion of EPM values in the absence of specific ion binding. This error is reduced if the counter-ion binding is not small; hence, DD1 may also be used in some cases for solutions with arbitrary ion mobilities.
杜金-德亚金方程用于现代电泳理论中，计算双层极化区域的电泳迁移率（EPM）。该方程以（DD1）形式见于文献[4 - 6]，它适用于对称电解质溶液中阳离子和阴离子迁移率相等的情况。在此，我们描述该方程的另一种形式（DD2），用于1:1电解质中任意离子迁移率的情况。由后一种形式计算得到的EPM与精确的计算机解[12]吻合良好。在为带负电脂质膜的选定示例计算的一系列EPM与IgC曲线中展示了DD2的应用。此外，我们描述了DD2的两个简化版本，它们分别适用于高zeta电位以及忽略带电表面离子通量的电渗分量的情况。将DD2与DD1比较表明，后一个方程会导致误差，在不存在特定离子结合时，该误差可能超过EPM值的实验离散度。如果反离子结合量不小，该误差会减小；因此，在某些情况下，DD1也可用于具有任意离子迁移率的溶液。
