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Sound velocity in aqueous solutions of alkyltrimethylammonium bromides with alkyl chains of octyl, decyl, dodecyl and tetradecyl has been measured as a function of surfactant and NaBr concentrations at 25C. The critical micelle concentrations, CMC, were determined from intersections of two straight line portions of the surfactant concentration dependence of sound velocity in the solutions. CMC decreases with the increase of ionic strength, following the Corrin-Harkins equation. The standard free energy of micelle formation was estimated from the CMC at different NaBr concentrations. It was presented as a sum of increments of the methylene and the polar head groups at each NaBr concentration. The methylene group contribution varies with NaBr concentration from -1.81 kJ/mol in water to -2.95 kJ/mol at salt concentrations higher than 0.5 m NaBr.
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Reference：
Metal catalyst and ligand design,
Ligand Template Strategies for Catalyst Encapsulation – NCBI