RECORD
Dielectric Constant of Ionic Solutions: Combined Effects of Correlations and Excluded Volume
Statistical Mechanics · Submitted 5 Jun 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that both correlations and excluded volume are required in order to capture the important features of the dielectric behavior.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The dielectric constant of ionic solutions is known to reduce with increasing ionic concentrations. However, the origin of this effect has not been thoroughly explored. In this paper we study two such possible sources: long-range Coulombic correlations and solvent excluded volume. Correlations originate from fluctuations of the electrostatic potential beyond the mean-field Poisson-Boltzmann theory, evaluated by employing a field-theoretical loop expansion of the free energy. The solvent excluded-volume, on the other hand, stems from the finite ion size, accounted for via a lattice-gas model. We show that both correlations and excluded volume are required in order to capture the important features of the dielectric behavior. For highly polar solvents, such as water, the dielectric constant is given by the product of the solvent volume fraction and a concentration-dependent susceptibility per volume fraction. The available solvent volume decreases as function of ionic strength due the increasing volume fraction of ions. A similar decrease occurs for the susceptibility due to correlations between the ions and solvent, reducing the dielectric response even further. Our predictions for the dielectric constant fit well with experiments for a wide range of concentrations for different salts in different temperatures, using a single fit parameter related to the ion size.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The dielectric constant of ionic solutions is known to reduce with increasing ionic concentrations. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s1 | However, the origin of this effect has not been thoroughly explored. | gap 1.00 | 0.04 | 0.01 | asserted 0.99 |
| s2 | In this paper we study two such possible sources: long-range Coulombic correlations and solvent excluded volume. | contribution 1.00 | 0.75 | 0.05 | hedged possibility 0.84 |
| s3 | Correlations originate from fluctuations of the electrostatic potential beyond the mean-field Poisson-Boltzmann theory, evaluated by employing a field-theoretical loop expansion of the free energy. | method 0.97 | 0.71 | 0.03 | asserted 0.96 |
| s4 | The solvent excluded-volume, on the other hand, stems from the finite ion size, accounted for via a lattice-gas model. | method 0.98 | 0.52 | 0.03 | asserted 1.00 |
| s5 | We show that both correlations and excluded volume are required in order to capture the important features of the dielectric behavior. | result 0.95 | 0.94 | 0.89 | asserted 1.00 |
| s6 | For highly polar solvents, such as water, the dielectric constant is given by the product of the solvent volume fraction and a concentration-dependent susceptibility per volume fraction. | result 0.75 | 0.50 | 0.06 | asserted 1.00 |
| s7 | The available solvent volume decreases as function of ionic strength due the increasing volume fraction of ions. | interpretation 0.57 | 0.24 | 0.03 | asserted 1.00 |
| s8 | A similar decrease occurs for the susceptibility due to correlations between the ions and solvent, reducing the dielectric response even further. | interpretation 0.75 | 0.67 | 0.08 | asserted 0.99 |
| s9 | Our predictions for the dielectric constant fit well with experiments for a wide range of concentrations for different salts in different temperatures, using a single fit parameter related to the ion size. | result 1.00 | 0.95 | 0.29 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The dielectric constant of ionic solutions is known to reduce with increasing ionic concentrations. However, the origin of this effect has not been thoroughly explored. In this paper we study two such possible sources: long-range Coulombic correlations and solvent excluded volume. Correlations originate from fluctuations of the electrostatic potential beyond the mean-field Poisson-Boltzmann theory, evaluated by employing a field-theoretical loop expansion of the free energy. The solvent excluded-volume, on the other hand, stems from the finite ion size, accounted for via a lattice-gas model. We show that both correlations and excluded volume are required in order to capture the important features of the dielectric behavior. For highly polar solvents, such as water, the dielectric constant is given by the product of the solvent volume fraction and a concentration-dependent susceptibility per volume fraction. The available solvent volume decreases as function of ionic strength due the increasing volume fraction of ions. A similar decrease occurs for the susceptibility due to correlations between the ions and solvent, reducing the dielectric response even further. Our predictions for the dielectric constant fit well with experiments for a wide range of concentrations for different salts in different temperatures, using a single fit parameter related to the ion size.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.