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The Nonlinear Decrement in Static Permittivity of Electrolytes in High-Polarity Solvents

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Abstract

A theoretical model describing the nonlinear decrement in the static permittivity of electrolytes in high-polarity solvents is developed on the basis of the Langevin statistical theory with a subsequent customization. This customization is in relation to the dilution of the polar dipoles by free ions and the influence of the local electric field radiated by ions on the solvent molecules in the proximity of the ions. It is interesting that the mean ionic size and the interaction between ions and solvent molecules responsible for the decrement in the static permittivity of electrolyte solutions are shown. The model exhibits not only the linear decrement in permittivity for dilute solutions but also the nonlinear one for concentrated solutions of electrolytes in different high-polarity solvents at a definite temperature with a single parameter. It is pointed out that the influence of the local electric field on the polarization of methanol is much stronger than that of water. Moreover, the factors affecting the solvation energies of electrolyte ions in high-polarity solvents are interpreted. Because of the simple form of the static permittivity function, the concentration dependence of the Debye screening length is carefully and obviously considered.

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Authors and Affiliations

  1. Hanoi University of Science and Technology, 1-Dai Co Viet Road, Hanoi, Vietnam

    Tuan Le

  2. Hanoi University of Industry, 298-Cau Dien Road, Hanoi, Vietnam

    Nhan Thi Tran

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  1. Tuan Le
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  2. Nhan Thi Tran
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Le, T., Tran, N.T. The Nonlinear Decrement in Static Permittivity of Electrolytes in High-Polarity Solvents. J Solution Chem 50, 105–115 (2021). https://doi.org/10.1007/s10953-020-01045-4

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