Biophys J. 1986 Nov;50(5):855-9. doi: 10.1016/S0006-3495(86)83526-3.
We investigate the conditions under which nonideality in solution influences the Donnan equilibrium. Of the various parameters that characterize this equilibrium, the osmotic pressure established across the Donnan membrane is found to be particularly sensitive to intermolecular interactions between the diffusible and nondiffusible ionic species. Under physiologically appropriate conditions, we find that it is almost never valid to use Debye-Hückel theory to calculate ionic activities: it is important to take proper account of ion size. When the diffusible species is a 1-1 electrolyte, this can be done using the mean spherical approximation (MSA) for a mixture of ions of different diameters. For 2-2, or higher-valent, electrolytes one should also include the effects of the second ionic virial coefficient, which the MSA omits.
我们研究了溶液中非理想性影响唐南平衡的条件。在表征这种平衡的各种参数中,发现跨唐南膜建立的渗透压对可扩散和不可扩散离子物种之间的分子间相互作用特别敏感。在生理适宜的条件下,我们发现几乎不可能使用德拜-休克尔理论来计算离子活度:必须正确考虑离子大小。当可扩散物质是 1-1 电解质时,可以使用不同直径离子混合物的均球近似(MSA)来完成。对于 2-2 或更高价的电解质,还应该包括 MSA 忽略的第二离子第二维里系数的影响。