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Related Concept Videos

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...
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.
Thermodynamic Potentials01:26

Thermodynamic Potentials

Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
Inverse z-Transform by Partial Fraction Expansion01:20

Inverse z-Transform by Partial Fraction Expansion

The inverse z-transform is a crucial technique for converting a function from its z-domain representation back to the time domain. One effective method for finding the inverse z-transform is the Partial Fraction Method, which involves decomposing a function into simpler fractions with distinct coefficients. These fractions correspond to known z-transform pairs, facilitating the inverse transformation process.
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Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

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Updated: Jun 27, 2026

In Silico Clinical Trials for Cardiovascular Disease
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Published on: May 27, 2022

An inversion technique for the calculation of embedding potentials.

O Roncero1, M P de Lara-Castells, P Villarreal

  • 1Instituto de Fisica Fundamental, CSIC, Unidad Asociada UAM-CSIC, Serrano 123, 28006 Madrid, Spain. oroncero@imaff.cfmac.csic.es

The Journal of Chemical Physics
|December 3, 2008
PubMed
Summary
This summary is machine-generated.

A novel embedding method accurately incorporates local electronic correlation into large systems. This approach partitions system density and iteratively refines an embedding potential, showing promise for complex molecular calculations.

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Last Updated: Jun 27, 2026

In Silico Clinical Trials for Cardiovascular Disease
09:09

In Silico Clinical Trials for Cardiovascular Disease

Published on: May 27, 2022

Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Materials Science

Background:

  • Accurately modeling large molecular systems requires efficient methods to include electronic correlation.
  • Existing density functional theory (DFT)-based embedding methods have limitations in describing local correlation effects.

Purpose of the Study:

  • To develop and validate a new embedding method for incorporating local electronic correlation in large chemical systems.
  • To provide an alternative to existing DFT-based embedding techniques.

Main Methods:

  • The proposed method partitions the total system density into subsystem and environment components.
  • An iterative embedding potential is derived using density differences, driving the calculation of localized molecular orbitals.
  • This potential is incorporated into the Fock equation to capture local correlation effects within the subsystem.

Main Results:

  • The method was successfully applied to hydrogen chains and their van der Waals interactions with H(2).
  • Results showed excellent agreement with exact calculations performed on the entire system.
  • The approach effectively includes local electronic correlation in the subsystem of interest.

Conclusions:

  • The new embedding method offers a promising route for accurately treating electronic correlation in large-scale molecular simulations.
  • It provides a viable alternative to current DFT-based embedding strategies, particularly for systems where local correlation is significant.