Apparent Binding Degree of a Counterion and Micellar Composition in Cationic and Nonionic Surfactant Mixed Solutions at CMC

Critical micelle concentrations and interaction parameters of aqueous binary surfactant:ionic surfactant mixtures

“…On the other hand, the measured CMCs fit Eq. (7) very well with a reasonable value of E. Our equation considers electroneutrality and the activity coefficient of the micelle, which we attribute to the interaction between the surfactant aggregate ion and the ionic atmosphere around it [35]. Clint's equation does not consider such effects because it was derived for purely nonionic surfactants.…”

“…The dissociation produces the mixing entropy S dm of the dissociated counterions and the activity coefficient of the ionic aggregate [35]. The chemical potential of the micelle is…”

“…The Gibbs-Duhem equation of the aggregate, which considers the activity coefficient of the micelle in the solution, is given by the equation [35] …”

Unusual behavior of CMC for binary mixtures of alkyltrimethylammonium bromides: Dependence on chain length difference

“…Without considering the activity coefficient of the micelle, it is difficult to justify the Corrin-Harkins equation [25,26]. One should make the Corrin-Harkins equation satisfy the thermodynamics considerations of the micelle.…”

Effects of Micellar Charge Density on the Coefficient of the Corrin–Harkins Relation

“…This is a practical but indirect way of controlling the micellar charge density. The dependence of θ values on the mixed micellar compositions has been studied on several nonionic/ionic mixed micelles (4)(5)(6)(7)(8)(9)(10)(11). The degrees of counterion binding θ were estimated by the potentiometry.…”