Surface tension model for surfactant solutions at the critical micelle concentration

A model for the limiting surface tension of surfactant solutions (surface tension at and above the critical micelle concentration, cmc) was developed. This model takes advantage of the equilibrium between the surfactant molecules on the liquid/vacuum surface and in micelles in the bulk at the cmc. A...

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Bibliographic Details
Published inarXiv.org
Main Authors Burlatsky, S F, Atrazhev, V V, Dmitriev, D V, Sultanov, V I, Timokhina, E N, Ugolkova, E A, Tulyani, S, Vincitore, A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.06.2013
Subjects
Constraining
Mathematical models
Micelles
Model accuracy
Parameters
Physics - Soft Condensed Matter
Surface tension
Surfactants
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Summary:A model for the limiting surface tension of surfactant solutions (surface tension at and above the critical micelle concentration, cmc) was developed. This model takes advantage of the equilibrium between the surfactant molecules on the liquid/vacuum surface and in micelles in the bulk at the cmc. An approximate analytical equation for the surface tension at the cmc was obtained. The derived equation contains two parameters, which characterize the intermolecular interactions in the micelles, and the third parameter, which is the surface area per surfactant molecule at the interface. These parameters were calculated using a new atomistic modeling approach. The performed calculations of the limiting surface tension for four simple surfactants show good agreement with experimental data (~30% accuracy). The developed model provides the guidance for design of surfactants with low surface tension values.
ISSN:2331-8422
DOI:10.48550/arxiv.1306.4566