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Related Concept Videos

Coulomb's Law01:30

Coulomb's Law

Experiments with electric charges have shown that if two objects each have an electric charge, they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them. The direction of the force vector is along the imaginary line joining the two objects and is dictated by the signs of the charges involved.
Newton's third law applies to the Coulomb force — the force on...
Intermolecular Forces03:13

Intermolecular Forces

Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...
Intermolecular Forces03:13

Intermolecular Forces

Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...
Van der Waals Interactions01:24

Van der Waals Interactions

Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
Coulomb's Law and The Principle of Superposition01:15

Coulomb's Law and The Principle of Superposition

Coulomb's Law describes the force experienced by two point charges under each other's presence. But what if there are more than two charges? For example, if there is a third charge, does it experience a force that is a simple combination of the individual forces due to the first two charges? Can it be described mathematically?
The Principle of Superposition answers the question. Yes, Coulomb's Law applies to each pair of charges, and the net force on each charge is the vector sum of the...
Comparison Between Electrical And Gravitational Forces01:24

Comparison Between Electrical And Gravitational Forces

There are four fundamental forces in nature: the gravitational force, the electromagnetic force, the strong nuclear force, and the weak nuclear force. To compare the numerical strengths of the first two, take two particles of the same kind. Since electrons are fundamental particles, they are a good example.
Since both are inverse square law forces, the distance gets canceled when the ratio of the two forces is considered. Instead, the ratio of the electrical and gravitational forces depends on...

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Related Experiment Video

Updated: May 29, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Coulomb interactions in charged fluids.

Graziano Vernizzi1, Guillermo Iván Guerrero-García, Monica Olvera de la Cruz

  • 1Department of Physics and Astronomy, Siena College, Loudonville, New York 12211, USA. gvernizzi@siena.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 27, 2011
PubMed
Summary
This summary is machine-generated.

A new O(N(2)) analytical method accurately calculates Coulomb interactions in molecular simulations, avoiding artificial periodicity common in charged fluid studies.

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Area of Science:

  • Computational chemistry
  • Physical chemistry
  • Statistical mechanics

Background:

  • Ewald summation is standard for Coulomb interactions in molecular simulations.
  • This method imposes artificial periodicity unsuitable for liquid states.
  • Existing methods struggle with long-range interactions in non-crystalline systems.

Purpose of the Study:

  • To develop a new analytical method for calculating Coulomb interactions.
  • To overcome limitations of Ewald summation in simulating charged fluids.
  • To provide an accurate and efficient alternative for molecular simulations.

Main Methods:

  • Developed a simple analytical O(N(2)) method.
  • Utilized Gauss's law for exact Coulomb interaction calculation.
  • Averaged interactions over all orientations of a surrounding infinite lattice.

Main Results:

  • The proposed method accurately computes Coulomb interactions.
  • It mitigates artificial periodicity found in crystalline systems.
  • Demonstrated suitability for ionic liquids, charged fluids, and colloidal systems.

Conclusions:

  • The O(N(2)) analytical method offers an effective alternative to Ewald summation.
  • This approach is well-suited for molecular dynamics and Monte Carlo simulations.
  • It enhances the accuracy of simulating disordered charged systems.