Abstract

Two modifications of the mass action law are considered as applied to defining the critical micelle concentration (CMC) via constant K of the law. The first, traditional, modification defines the CMC as \({{K}^{{1/(1 - n)}}},\) where n is the aggregation number, and the second one—as \({{(Kn)}^{{1/(1 - n)}}}.\) In both cases, the formulation of the mass action law is extremely simplified due to the exclusion of the constant, while all concentrations are expressed in the CMC units, which is slightly lower in the second case. The second modification of the law is more adequate at moderate and low aggregation numbers, which are characteristic of reverse micelles; therefore, these two modifications are conditionally attributed to the direct and reverse micelles. For both modifications, the concentrations of micelles and monomers are analyzed as depending on the total surfactant concentration in a micellar solution, while explicit analytical expressions are derived for the inverse dependences. An explicit relation has been found between the aforementioned concentrations and the micellization degree of solution . The dependence of the critical micellization degree (corresponding to CMC) on the aggregation number has been determined.

中文翻译：

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反胶束群众行动法的修改

摘要

可以将质量作用定律的两种修改形式应用于通过定律常数K定义临界胶束浓度（CMC）。传统的第一个修改将CMC定义为\（{{K} ^ {{1 /（1-n）}}}，\），其中n是聚合编号，第二个则是\（{{ Kn）} ^ {{1 /（1-n）}}} ..）在这两种情况下，由于排除了常数，极大地简化了质量作用定律的制定，而所有浓度均以CMC单位表示，在第二种情况下稍低。该法的第二种修改在中等和低聚集数时更为合适，这是反胶束的特征。因此，这两个修饰有条件地归因于正和反胶束。对于这两种修饰，都根据胶束溶液中表面活性剂的总浓度来分析胶束和单体的浓度，同时针对逆相关性得出明确的分析表达式。在上述浓度和溶液的胶束化程度之间发现了明确的关系。