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Related Concept Videos

Gauss's Law01:07

Gauss's Law

If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...

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Related Experiment Video

Updated: Jun 15, 2026

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
08:09

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

Gaussian Multipole Model (GMM).

Dennis M Elking1, G Andrés Cisneros, Jean-Philip Piquemal

  • 1Laboratory of Structural Biology, National Institute of Environmental Health Sciences, Research Triangle Park, North Carolina 27709.

Journal of Chemical Theory and Computation
|March 9, 2010
PubMed
Summary
This summary is machine-generated.

A new electrostatic model using charge density is proposed for future force fields. This model accurately predicts molecular interactions and properties using Gaussian multipoles, showing promise for computational chemistry.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Related Experiment Videos

Last Updated: Jun 15, 2026

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
08:09

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Published on: April 19, 2021

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Molecular Modeling

Background:

  • Accurate electrostatic modeling is crucial for predicting molecular behavior.
  • Existing force fields often rely on simplified charge models.

Purpose of the Study:

  • To develop and validate a novel electrostatic model based on atomic charge density for future force fields.
  • To assess the model's accuracy in reproducing electrostatic properties and energies.

Main Methods:

  • A Slater-type contracted Gaussian multipole charge density model was developed.
  • The model parameters were fitted to electrostatic potentials (ESP) from B3LYP/6-31G* and HF/aug-cc-pVTZ calculations.
  • The model was validated against ab initio calculations for electrostatic dimer energies, overlap integrals, and multipole moments.

Main Results:

  • The Gaussian multipole model accurately reproduced ab initio electrostatic dimer energies, overlap integrals, and multipole moments.
  • For water, atomic multipole moments demonstrated a smooth dependence on internal geometry.
  • The model's charge density was successfully applied to an exchange-repulsion energy model.

Conclusions:

  • The proposed charge density-based electrostatic model shows significant potential for future force field development.
  • The model offers a robust and accurate method for describing electrostatic interactions in molecular systems.