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Electrostatic interactions in micellar solutions of sodium n-alkyl sulfates and applicability of the poisson-boltzmann equation for their calculation

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Abstract

By the example of four even members in a homologous series of sodium n-alkyl sulfates (decyl-, dodecyl-, tetradecyl-, and hexadecyl sulfate) and with the use of the Debye-Hueckel theory of strong electrolytes the parameters are calculated that determine electrostatic interactions in micellar solutions of surfactants. Calculation results for the Gibbs electrostatic energy of micellization are compared to those obtained from one of the approximate solutions of the Poisson-Boltzmann equation and also to the results of its numerical integration for spherical micelles. Applicability conditions of the Debye-Hueckel theory are determined with respect to the micelle concentration and size and the number of carbon atoms in a surfactant molecule. It is shown that the Debye-Hueckel theory in the proposed version enables an efficient and quite accurate calculation of all electrostatic properties of micelles and ionic micellar solutions for surfactants with a number of carbon atoms in a molecule starting from 10 and more and at concentrations up to 0.15 mol/dm3.

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Authors and Affiliations

  1. Ivanovo State University, Ivanovo, Russia

    V. S. Kuznetsov, N. V. Usol’tseva & V. V. Bykova

Authors
  1. V. S. Kuznetsov
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  2. N. V. Usol’tseva
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  3. V. V. Bykova
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Correspondence to N. V. Usol’tseva.

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Original Russian Text Copyright © 2012 by V. S. Kuznetsov, N. V. Usol’tseva, and V. V. Bykova

__________

Translated from Zhurnal Strukturnoi Khimii, Vol. 53, No. 1, pp. 87–97, January–February, 2012.

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Kuznetsov, V.S., Usol’tseva, N.V. & Bykova, V.V. Electrostatic interactions in micellar solutions of sodium n-alkyl sulfates and applicability of the poisson-boltzmann equation for their calculation. J Struct Chem 53, 82–92 (2012). https://doi.org/10.1134/S0022476612010106

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