Hsu JP, Kuo YC
Department of Chemical Engineering, National Taiwan University, Taipei, Taiwan, 10617, Republic of China
J Colloid Interface Sci. 1997 Jan 15;185(2):530-7. doi: 10.1006/jcis.1996.4591.
The ratio of the critical coagulation concentration (CCC) of counterions is evaluated for spherical particles and asymmetric electrolytes. A perturbation method is adopted to solve the Poisson-Boltzmann equation governing the electrical potential distribution of the system under consideration. On the basis of the result obtained, an approximate expression for the CCC is derived. Another approach based on the Derjaguin approximation is also used to estimate the CCC. We show that the CCC ratio of counterions is a complicated function of the valences of the ion species in the liquid phase and the sizes of particles. Depending upon the thickness of the Debye length, the CCC ratio of counterions for various combinations of electrolytes can be estimated. The classic Schulze-Hardy rule for planar particles in a symmetric electrolyte solution can be recovered as a limiting case of the present model. If the surface potential is low, the effect of curvature on the CCC ratio of counterions is negligible.
针对球形颗粒和不对称电解质，评估了抗衡离子的临界凝聚浓度（CCC）之比。采用微扰法求解描述所考虑系统电势分布的泊松 - 玻尔兹曼方程。基于所得结果，推导了CCC的近似表达式。还使用了另一种基于德亚金近似的方法来估算CCC。我们表明，抗衡离子的CCC之比是液相中离子种类的价态和颗粒尺寸的复杂函数。根据德拜长度的厚度，可以估算各种电解质组合下抗衡离子的CCC之比。对称电解质溶液中平面颗粒的经典舒尔茨 - 哈迪规则可作为本模型的极限情况恢复。如果表面电势较低，曲率对抗衡离子CCC之比的影响可忽略不计。
