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Related Concept Videos

Electric Potential Energy of Two Point Charges01:12

Electric Potential Energy of Two Point Charges

The electric potential energy of a test charge in a uniform eclectic field can be generalized to any electric field produced by static charge distribution. Consider a positive test charge in an electric field produced by another static positive charge. If the test charge is moved away from the static charge, then the electric field does the positive work on the test charge, and the electric potential energy of the test charge decreases as it moves away from the static charge. Here the electric...
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.
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
Determining Electric Field From Electric Potential01:12

Determining Electric Field From Electric Potential

The electric field and electric potential are related to each other. If the electric field at various points in the region of interest is known, it can be used to calculate the electric potential difference between any two points. Similarly, if the electric potential is known for various points, then it is possible to calculate the electric field.
In general, regardless of whether the electric field is uniform, it points in the direction of decreasing potential because the force on a positive...
Electric Field01:16

Electric Field

Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
In the new picture, imagine that the first charge sets up an electric field independent of all other charges in the universe. When another charge comes in its vicinity, the second charge experiences an electric force depending on the electric field at that point. The source charge does not...

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Related Experiment Video

Updated: May 25, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Core-shell potential-derived point charges.

Jeffrey S Tan1, Stephan X M Boerrigter, Raymond P Scaringe

  • 1Preformulation, Product Research and Development, Eli Lilly and Company, Indianapolis, Indiana 46285, USA. tanjs@lilly.com

Journal of Computational Chemistry
|February 4, 2012
PubMed
Summary
This summary is machine-generated.

A new core-shell model enhances electrostatic potential calculations by treating atoms as a fixed core and a mobile shell. This method offers superior accuracy compared to traditional atomic point charge models.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Molecular Modeling

Background:

  • Accurate representation of molecular electrostatic potential is crucial for understanding chemical interactions.
  • Existing atomic point charge models have limitations in describing charge distribution.
  • Distributed multipole models offer improvements but can be computationally intensive.

Purpose of the Study:

  • To develop and validate a novel core-shell model for calculating potential-derived point charges.
  • To assess the performance of the core-shell model against established methods.
  • To investigate the optimization of shell charges and positions within the model.

Main Methods:

  • Development of a core-shell atomic model where each atom is divided into a static core and a variable-charge, variable-position shell.
  • Optimization of shell charges and positions to best reproduce ab initio molecular electrostatic potential.
  • Comparison of the core-shell model's electrostatic potential description with potential-derived net atomic point charges and distributed multipoles.

Main Results:

  • The core-shell model significantly improves the description of ab initio electrostatic potential compared to net atomic point charge models.
  • The model's accuracy is also superior to distributed multipoles up to atomic quadrupole moments.
  • Results obtained from the core-shell model are comparable to those from the Weller-Williams lone-pair model.

Conclusions:

  • The core-shell model provides a more accurate and robust method for deriving point charges from ab initio molecular electrostatic potential.
  • This model offers a valuable alternative to existing methods, particularly for systems requiring precise electrostatic descriptions.
  • Further investigation into implementation differences with other advanced models is warranted.