Parametric Equations of the Theory of Formation of Spherical Micelles

Details Parametric Equations of the Theory of Formation of Spherical Micelles Parametric Equations of the Theory of Formation of Spherical Micelles

2001-05-11

arxiv.org/abs/cond-mat/0105233v1

Physics

Condensed Matter

Soft Condensed Matter

15 pages, 4 tables

Scientific paper

Using the notion of aggregation work, we construct a system of differential equations for the aggregation number of micelles which is a function of the parameters of micellization (parametric equations). There are explicit solutions for two important models of spherical micelles. Based on these solutions, we obtain an analytical expression for the equilibrium concentration of surfactant monomers and consequently for the whole spectrum of equilibrium concentrations of molecular aggregates in this framework. Accuracy of these expressions is discussed, and they are applied on an example of micelles formed by sodium dodecyl sulfate.

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