Rubin B T, Barber J
Biochim Biophys Acta. 1980 Aug 5;592(1):87-102. doi: 10.1016/0005-2728(80)90116-4.
Calculations of changes of the integrated space charge density within the diffuse layer adjacent to a negatively charged membrane surface have been made using analytical expressions derived from the full non-linear Poisson-Boltzmann equation of the Gouy-Chapman theory. This electrostatic screening parameter has been examined for mixed electrolytes of valency type Z1+/Z1- and Z2+/Z1- and concentration ranges were chosen so as to compare with experimental data obtained with thylakoid membranes. The results of the analysis are consistent with previous arguments (Barber, J., Mills, J.D. and Love, A. (1977) FEBS Letts. 74, 174-181) that this screening parameter is involved in the control of salt induced chlorophyll fluorescence and thylakoid stacking changes. Phenomenological equations suggesting the origin of the variations in the integrated space charge density for various salt conditions are presented. Overall the integrated space charge density (sigma chi) is shown to be a more satisfactory measure of both short and long range effects associated with electrostatic screening and double layer repulsion of charged surfaces than the planar space charge density (rho chi).
利用从 Gouy-Chapman 理论的完全非线性泊松 - 玻尔兹曼方程推导得出的解析表达式，对带负电的膜表面相邻扩散层内积分空间电荷密度的变化进行了计算。已针对 Z1⁺/Z1⁻ 和 Z2⁺/Z1⁻ 价型的混合电解质研究了该静电屏蔽参数，并选择了浓度范围以便与类囊体膜获得的实验数据进行比较。分析结果与先前的观点一致（Barber, J., Mills, J.D. 和 Love, A. (1977) FEBS Letts. 74, 174 - 181），即该屏蔽参数参与了盐诱导的叶绿素荧光和类囊体堆积变化的控制。给出了表明各种盐条件下积分空间电荷密度变化起源的唯象方程。总体而言，与平面空间电荷密度（ρχ）相比，积分空间电荷密度（σχ）被证明是与带电表面的静电屏蔽和双层排斥相关的短程和长程效应的更令人满意的度量。
