Density functional theory study of the capacitance of single file ions in a narrow cylinder
Abstract
In this paper, the differential capacitance of a model organic electrolyte in a cylindrical pore that is so narrow that the ions can form only a single file is studied by means of density functional theory (DFT). Kornyshev (2013), has studied this system and found the differential capacitance to have only a double hump shape (the so-called camel shape) whereas other geometries show this behavior only at low ionic concentrations that are typical for aqueous electrolytes. However, his calculation is rather approximate. In this DFT study we find that the double hump shape occurs only at low ionic concentrations. At high concentrations, the capacitance has only a single hump. Kornyshev considers a metallic cylinder and approximately includes the contributions of electrostatic images. Electrostatic images are not easily incorporated into DFT. In conclusion, images are not considered in this study and the question of whether Kornyshev’s result is due to his approximations or images cannot be answered. Simulations to answer this question are planned.
- Authors:
-
- Univ. of California, Riverside, CA (United States)
- Brigham Young Univ., Provo, UT (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Energy Frontier Research Centers (EFRC) (United States). Fluid Interface Reactions, Structures and Transport Center (FIRST)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1265472
- Alternate Identifier(s):
- OSTI ID: 1246727
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Colloid and Interface Science
- Additional Journal Information:
- Journal Volume: 449; Journal Issue: C; Journal ID: ISSN 0021-9797
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Single file nanopore; Cylindrical double layer; Capacitance; Density functional theory
Citation Formats
Kong, Xian, Wu, Jianzhong, and Henderson, Douglas. Density functional theory study of the capacitance of single file ions in a narrow cylinder. United States: N. p., 2014.
Web. doi:10.1016/j.jcis.2014.11.012.
Kong, Xian, Wu, Jianzhong, & Henderson, Douglas. Density functional theory study of the capacitance of single file ions in a narrow cylinder. United States. https://doi.org/10.1016/j.jcis.2014.11.012
Kong, Xian, Wu, Jianzhong, and Henderson, Douglas. Fri .
"Density functional theory study of the capacitance of single file ions in a narrow cylinder". United States. https://doi.org/10.1016/j.jcis.2014.11.012. https://www.osti.gov/servlets/purl/1265472.
@article{osti_1265472,
title = {Density functional theory study of the capacitance of single file ions in a narrow cylinder},
author = {Kong, Xian and Wu, Jianzhong and Henderson, Douglas},
abstractNote = {In this paper, the differential capacitance of a model organic electrolyte in a cylindrical pore that is so narrow that the ions can form only a single file is studied by means of density functional theory (DFT). Kornyshev (2013), has studied this system and found the differential capacitance to have only a double hump shape (the so-called camel shape) whereas other geometries show this behavior only at low ionic concentrations that are typical for aqueous electrolytes. However, his calculation is rather approximate. In this DFT study we find that the double hump shape occurs only at low ionic concentrations. At high concentrations, the capacitance has only a single hump. Kornyshev considers a metallic cylinder and approximately includes the contributions of electrostatic images. Electrostatic images are not easily incorporated into DFT. In conclusion, images are not considered in this study and the question of whether Kornyshev’s result is due to his approximations or images cannot be answered. Simulations to answer this question are planned.},
doi = {10.1016/j.jcis.2014.11.012},
journal = {Journal of Colloid and Interface Science},
number = C,
volume = 449,
place = {United States},
year = {Fri Nov 14 00:00:00 EST 2014},
month = {Fri Nov 14 00:00:00 EST 2014}
}
Web of Science
Works referenced in this record:
Materials for electrochemical capacitors
journal, November 2008
- Simon, Patrice; Gogotsi, Yury
- Nature Materials, Vol. 7, Issue 11
Anomalous Increase in Carbon Capacitance at Pore Sizes Less Than 1 Nanometer
journal, September 2006
- Chmiola, J.
- Science, Vol. 313, Issue 5794
Relation between the Ion Size and Pore Size for an Electric Double-Layer Capacitor
journal, March 2008
- Largeot, Celine; Portet, Cristelle; Chmiola, John
- Journal of the American Chemical Society, Vol. 130, Issue 9
The simplest model of charge storage in single file metallic nanopores
journal, January 2013
- Kornyshev, Alexei A.
- Faraday Discussions, Vol. 164
The Electric Double-Layer Differential Capacitance at and near Zero Surface Charge for a Restricted Primitive Model Electrolyte
journal, July 2009
- Lamperski, Stanislaw; Outhwaite, Christopher W.; Bhuiyan, Lutful B.
- The Journal of Physical Chemistry B, Vol. 113, Issue 26
Simulation study of capacitance of the electrical double layer of an electrolyte near a highly charged electrode
journal, April 2011
- Lamperski, Stanisław; Henderson, Douglas
- Molecular Simulation, Vol. 37, Issue 4
Density Functional Study of the Electric Double Layer Formed by a High Density Electrolyte
journal, November 2011
- Henderson, Douglas; Lamperski, Stanisław; Jin, Zhehui
- The Journal of Physical Chemistry B, Vol. 115, Issue 44
Free-Energy Density Functional of Ions at a Dielectric Interface
journal, April 2011
- Gillespie, Dirk
- The Journal of Physical Chemistry Letters, Vol. 2, Issue 10
A modified Poisson-Boltzmann analysis of the electric double layer around an isolated spherical macroion
journal, October 1991
- Outhwaite, C. W.; Bhuiyan, L. B.
- Molecular Physics, Vol. 74, Issue 2
Monte Carlo Simulation for the Double Layer Structure of an Ionic Liquid Using a Dimer Model: A Comparison with the Density Functional Theory
journal, August 2012
- Bhuiyan, Lutful Bari; Lamperski, Stanisław; Wu, Jianzhong
- The Journal of Physical Chemistry B, Vol. 116, Issue 34
A classical density functional theory for interfacial layering of ionic liquids
journal, January 2011
- Wu, Jianzhong; Jiang, Tao; Jiang, De-en
- Soft Matter, Vol. 7, Issue 23
Structures of hard-sphere fluids from a modified fundamental-measure theory
journal, December 2002
- Yu, Yang-Xin; Wu, Jianzhong
- The Journal of Chemical Physics, Vol. 117, Issue 22
Density-functional theory for the structures and thermodynamic properties of highly asymmetric electrolyte and neutral component mixtures
journal, September 2004
- Li, Zhidong; Wu, Jianzhong
- Physical Review E, Vol. 70, Issue 3
Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing
journal, August 1989
- Rosenfeld, Yaakov
- Physical Review Letters, Vol. 63, Issue 9
Revisiting density functionals for the primitive model of electric double layers
journal, January 2014
- Jiang, Jian; Cao, Dapeng; Henderson, Douglas
- The Journal of Chemical Physics, Vol. 140, Issue 4
A contact-corrected density functional theory for electrolytes at an interface
journal, January 2014
- Jiang, Jian; Cao, Dapeng; Henderson, Douglas
- Physical Chemistry Chemical Physics, Vol. 16, Issue 9
Mean spherical model for asymmetric electrolytes: I. Method of solution
journal, November 1975
- Blum, L.
- Molecular Physics, Vol. 30, Issue 5
Supplement to Blum's theory for asymmetric electrolytes
journal, April 1977
- Hiroike, Kazuo
- Molecular Physics, Vol. 33, Issue 4
Density Functional Theory for Planar Electric Double Layers: Closing the Gap between Simple and Polyelectrolytes
journal, April 2006
- Li, Zhidong; Wu, Jianzhong
- The Journal of Physical Chemistry B, Vol. 110, Issue 14
Monte Carlo and Poisson-Boltzmann study of electrolyte exclusion from charged cylindrical micropores
journal, January 1993
- Jamnik, B.; Vlachy, V.
- Journal of the American Chemical Society, Vol. 115, Issue 2
Double-Layer in Ionic Liquids: Paradigm Change?
journal, May 2007
- Kornyshev, Alexei A.
- The Journal of Physical Chemistry B, Vol. 111, Issue 20
Single-File Charge Storage in Conducting Nanopores
journal, July 2014
- Lee, Alpha A.; Kondrat, Svyatoslav; Kornyshev, Alexei A.
- Physical Review Letters, Vol. 113, Issue 4
Ionic Liquids at Electrified Interfaces
journal, March 2014
- Fedorov, Maxim V.; Kornyshev, Alexei A.
- Chemical Reviews, Vol. 114, Issue 5
Interionic Interactions in Conducting Nanoconfinement
journal, December 2013
- Rochester, Christopher C.; Lee , Alpha A.; Pruessner, Gunnar
- ChemPhysChem, Vol. 14, Issue 18
Works referencing / citing this record:
Lattice model of ionic liquid confined by metal electrodes
journal, May 2018
- Girotto, Matheus; Malossi, Rodrigo M.; dos Santos, Alexandre P.
- The Journal of Chemical Physics, Vol. 148, Issue 19