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Related Concept Videos

Junction Potentials in Galvanic Cells01:21

Junction Potentials in Galvanic Cells

The Nernst equation, derived under the assumption of thermodynamic equilibrium, calculates the electromotive force (emf) as the sum of potential differences at phase boundaries in a reversible cell without a liquid junction. However, in irreversible cells such as the Daniell cell, an additional potential difference named the liquid-junction potential (EJ) arises across the interface of two electrolyte solutions due to different ion diffusion rates. This EJ represents the potential difference...
Calculations of Electric Potential I01:15

Calculations of Electric Potential I

Consider a ring of radius R with a uniform charge density λ. What will the electric potential be at point M, which is located on the axis of the ring at a distance x from the center of the ring?
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the length Rdθ and has a charge of λRdθ.
Calculations of Electric Potential II01:27

Calculations of Electric Potential II

An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
Interfacial Electrochemical Methods: Overview01:06

Interfacial Electrochemical Methods: Overview

Interfacial electrochemical methods focus on the phenomena occurring at the boundary between an electrode and a solution, as opposed to bulk methods that concentrate on the solution's overall properties. These interfacial methods are classified as either static or dynamic based on the presence of a nonzero current in the electrochemical cell and the consistency of analyte concentrations. Static methods, such as potentiometry, measure the cell's potential without any significant current passing...
Controlled-Potential Coulometry: Electrolytic Methods01:17

Controlled-Potential Coulometry: Electrolytic Methods

Controlled-potential coulometry, also known as potentiostatic coulometry, employs a three-electrode system in which the working electrode's potential is precisely regulated using a potentiostat. Platinum working electrodes are utilized for positive potentials, while mercury pool electrodes are favored for extremely negative potentials. The platinum counter electrode is separated from the analyte using a membrane or salt bridge to avoid interference in the analysis.
The chosen potential ensures...
Processes at Electrodes01:30

Processes at Electrodes

The electrode interacts with ions in the electrolyte solution at its interface. The rate of oxidation and reduction depends on the speed at which electrons can transfer through this interface. As ions attach to or leave the electrode surface, the electrode acquires a charge, and an electrical potential forms across the interface, making the process more difficult to reach equilibrium. The charge on the electrode affects the local ion concentrations in the solution, though thermal motion...

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Related Experiment Video

Updated: Jun 5, 2026

Preparation of Janus Particles and Alternating Current Electrokinetic Measurements with a Rapidly Fabricated Indium Tin Oxide Electrode Array
09:55

Preparation of Janus Particles and Alternating Current Electrokinetic Measurements with a Rapidly Fabricated Indium Tin Oxide Electrode Array

Published on: June 23, 2017

Time-saving first-principles calculation method for electron transport between jellium electrodes.

Yoshiyuki Egami1, Kikuji Hirose, Tomoya Ono

  • 1Nagasaki University Advanced Computing Center, Nagasaki University, Nagasaki 852-8521, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

We developed a fast simulator using density functional theory to calculate electron transport in nanostructures. This method accurately predicts conductance oscillations in metallic nanowires, matching experimental results.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Computational physics

Background:

  • Accurate calculation of electron transport properties in nanostructures is crucial for developing novel electronic devices.
  • Existing simulation methods can be computationally intensive, limiting their application to complex systems.
  • Understanding quantum transport phenomena, such as conductance oscillations, requires efficient theoretical tools.

Purpose of the Study:

  • To present a time-saving simulator for calculating electron transport properties of nanostructures.
  • To enhance simulation efficiency using Fourier transform and preconditioning conjugate-gradient algorithms.
  • To investigate the origin of conductance oscillations in metallic nanowires, specifically an Iridium (Ir) nanowire.

Main Methods:

  • Development of a simulator within the density functional theory (DFT) framework.
  • Integration of Fourier transform and preconditioning conjugate-gradient algorithms for enhanced performance.
  • Calculation of scattering wave functions and electron-transport properties for nanostructures between semi-infinite jellium electrodes.

Main Results:

  • The simulator achieves highly efficient performance in determining electron-transport properties.
  • The study confirms oscillatory behavior in the conductance of an Iridium (Ir) nanowire.
  • The s-d(z²) channel in the Ir nanowire was identified as the source of transmission oscillation with a two-atom period.

Conclusions:

  • The developed simulator offers a time-saving approach for calculating electron transport in nanostructures.
  • The simulation accurately reproduces experimentally observed conductance oscillations in Ir nanowires.
  • The findings provide insights into the quantum transport mechanisms governing the behavior of metallic nanowires.