Volume 111, Number 2, July 2015
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||18 August 2015|
A modified Poisson-Boltzmann theory: Effects of co-solvent polarizability
1 G.A. Krestov Institute of Solution Chemistry of the Russian Academy of Sciences - Ivanovo, Russia
2 National Research University Higher School of Economics, Department of Applied Mathematics - Moscow, Russia
3 Institut für Nichtklassische Chemie e.V., Universitat Leipzig - Leipzig, Germany
4 Ivanovo State University - Ivanovo, Russia
Received: 8 May 2015
Accepted: 19 July 2015
In this paper within a field-theoretical approach taking into account explicitly a co-solvent with a nonzero dipole and a polarizability tensor, we derive a modified Poisson-Boltzmann equation. Applying the modified Poisson-Boltzmann equation, we formulate a generalized Gouy-Chapman theory for the case when an electrolyte solution is mixed with a polar co-solvent having a large polarizability. We show that an increase of the co-solvent concentration as well as the co-solvent polarizability lead to a significant increase of differential capacitance at sufficiently high surface potentials of the electrode, whereas the profile of the electrostatic potential becomes considerably more long-ranged. On the contrary, an increase in the permanent dipole of the co-solvent only weakly affects the differential capacitance.
PACS: 82.45.Gj – Electrolytes / 33.15.Kr – Electric and magnetic moments (and derivatives), polarizability, and magnetic susceptibility / 65.40.gk – Electrochemical properties
© EPLA, 2015
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