Related Experiment Video
Updated: Apr 26, 2026
09:43
Fine-tuning the Size and Minimizing the Noise of Solid-state Nanopores
Published on: October 31, 2013
16.3K
Single-file charge storage in conducting nanopores
Alpha A Lee1, Svyatoslav Kondrat2, Alexei A Kornyshev3
1Mathematical Institute, University of Oxford, Oxford OX2 6HD, United Kingdom and Department of Chemistry, Faculty of Natural Sciences, Imperial College London, London SW7 2AZ, United Kingdom.
Physical Review Letters
|August 9, 2014
Summary
This study models ion storage in nanopores, revealing how ion affinity and pore size impact charge accumulation and capacitance. Measuring capacitance-voltage curves can determine ion occupancy in unpolarized pores for better supercapacitor design.
Area of Science:
- Electrochemistry
- Materials Science
- Nanotechnology
Background:
- Understanding charge storage mechanisms in nanostructured electrodes is crucial for advanced energy storage devices.
- Ion correlations and interactions within nanopores significantly influence electrochemical performance.
- Existing models often simplify the complex interplay of factors governing ion behavior in confined spaces.
Purpose of the Study:
- To develop an exactly solvable theoretical model for the charging of conducting tubular nanopores.
- To analytically determine accumulated charge and capacitance as a function of applied voltage.
- To investigate the influence of ion affinity and pore radius on charge storage mechanisms and capacitance-voltage characteristics.
Main Methods:
- Utilized an exactly solvable one-dimensional (1D) lattice model.
- Incorporated ion correlations screened by ion-image interactions.
- Validated theoretical predictions using Monte Carlo simulations.
Main Results:
- Derived analytical expressions for accumulated charge and differential capacitance versus voltage.
- Demonstrated that charge storage mechanisms and capacitance-voltage curves depend on ion affinity to unpolarized pores and pore radius.
- Confirmed theoretical predictions qualitatively through simulations.
Conclusions:
- Ion affinity to unpolarized pores is a key factor affecting charge and energy storage in supercapacitors.
- The capacitance-voltage dependence provides a means to experimentally determine the occupancy of unpolarized nanopores.
- This research offers insights into optimizing nanostructured electrodes for enhanced supercapacitor performance.
Related Concept Videos
01:30The Electrical Double Layer
223
In the region where two bulk phases meet, an intricate electric charge distribution arises due to charge transfer, ion adsorption, molecular orientation, and charge distortion. This complex distribution is commonly referred to as the electrical double layer.When a solid electrode interfaces with ions in an electrolyte solution, the speed of electron transfer dictates the rates of oxidation and reduction. The electrode acquires a charge through the escape of atoms into the solution as cations or...
223
01:26Charge on a Conductor
4.5K
An interesting property of a conductor in static equilibrium is that extra charges on the conductor end up on its outer surface, regardless of where they originate. Consider a hollow metallic conductor with a uniform surface charge density. Since the conductor itself is in electrostatic equilibrium, there should not be any electric field inside the conductor. Now, assume a Gaussian surface enclosing the hollow portion. Applying Gauss's law, the inner surface of the hollow conductor will not...
4.5K
01:17Continuous Charge Distributions
7.1K
Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
The electric charge can also be subjected to an analogical...
7.1K
01:16Electric Field of Parallel Conducting Plates
2.2K
Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...
2.2K
01:20Electric Field Inside a Conductor
6.4K
When a conductor is placed in an external electric field, the free charges in the conductor redistribute and very quickly reach electrostatic equilibrium. The resulting charge distribution and its electric field have many interesting properties, which can be investigated with the help of Gauss's law.
Suppose a piece of metal is placed near a positive charge. The free electrons in the metal are attracted to the external positive charge and migrate freely toward that region. This region then...
Suppose a piece of metal is placed near a positive charge. The free electrons in the metal are attracted to the external positive charge and migrate freely toward that region. This region then...
6.4K
01:25MOS Capacitor
1.8K
A Metal-Oxide-Semiconductor (MOS) capacitor is a fundamental structure used extensively in semiconductor device technology, particularly in the fabrication of integrated circuits and MOSFETs (metal-oxide-semiconductor field-effect transistors). The MOS capacitor consists of three layers: a metal gate, a dielectric oxide, and a semiconductor substrate.
The metal gate is typically made from highly conductive materials such as aluminum or polysilicon. Beneath the metal gate lies a thin layer of...
The metal gate is typically made from highly conductive materials such as aluminum or polysilicon. Beneath the metal gate lies a thin layer of...
1.8K