skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Density functional theory study of the capacitance of single file ions in a narrow cylinder

Journal Article · · Journal of Colloid and Interface Science
 [1];  [1];  [2]
  1. Univ. of California, Riverside, CA (United States)
  2. Brigham Young Univ., Provo, UT (United States)

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.

Research Organization:
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 Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1265472
Alternate ID(s):
OSTI ID: 1246727
Journal Information:
Journal of Colloid and Interface Science, Vol. 449, Issue C; ISSN 0021-9797
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 24 works
Citation information provided by
Web of Science

References (24)

Materials for electrochemical capacitors journal November 2008
Anomalous Increase in Carbon Capacitance at Pore Sizes Less Than 1 Nanometer journal September 2006
Relation between the Ion Size and Pore Size for an Electric Double-Layer Capacitor journal March 2008
The simplest model of charge storage in single file metallic nanopores journal January 2013
The Electric Double-Layer Differential Capacitance at and near Zero Surface Charge for a Restricted Primitive Model Electrolyte journal July 2009
Simulation study of capacitance of the electrical double layer of an electrolyte near a highly charged electrode journal April 2011
Density Functional Study of the Electric Double Layer Formed by a High Density Electrolyte journal November 2011
Free-Energy Density Functional of Ions at a Dielectric Interface journal April 2011
A modified Poisson-Boltzmann analysis of the electric double layer around an isolated spherical macroion journal October 1991
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
A classical density functional theory for interfacial layering of ionic liquids journal January 2011
Structures of hard-sphere fluids from a modified fundamental-measure theory journal December 2002
Density-functional theory for the structures and thermodynamic properties of highly asymmetric electrolyte and neutral component mixtures journal September 2004
Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing journal August 1989
Revisiting density functionals for the primitive model of electric double layers journal January 2014
A contact-corrected density functional theory for electrolytes at an interface journal January 2014
Mean spherical model for asymmetric electrolytes: I. Method of solution journal November 1975
Supplement to Blum's theory for asymmetric electrolytes journal April 1977
Density Functional Theory for Planar Electric Double Layers:  Closing the Gap between Simple and Polyelectrolytes journal April 2006
Monte Carlo and Poisson-Boltzmann study of electrolyte exclusion from charged cylindrical micropores journal January 1993
Double-Layer in Ionic Liquids:  Paradigm Change? journal May 2007
Single-File Charge Storage in Conducting Nanopores journal July 2014
Ionic Liquids at Electrified Interfaces journal March 2014
Interionic Interactions in Conducting Nanoconfinement journal December 2013

Cited By (1)

Lattice model of ionic liquid confined by metal electrodes journal May 2018