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Continuous Charge Distributions

Continuous Charge Distributions

Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...

Energy Associated With a Charge Distribution

Energy Associated With a Charge Distribution

The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.

Electric Field of Two Equal and Opposite Charges

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Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...

Electrochemical Systems

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Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution, the Zn metal, composed...

Electric Dipoles and Dipole Moment

Electric Dipoles and Dipole Moment

Consider two charges of equal magnitude but opposite signs. If they cannot be separated by an external electric field, the system is called a permanent dipole. For example, the water molecule is a dipole, making it a good solvent.
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Electric Field

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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.
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Related Experiment Video

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Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Advancing beyond charge analysis using the electronic localization function: Chemically intuitive distribution of

Julien Pilmé¹, Jean-Philip Piquemal

¹Faculté de pharmacie, Université de Lyon, Université Lyon 1, F-69373 Lyon, Cedex 08, France. pilme@lct.jussieu.fr

Journal of Computational Chemistry

|February 23, 2008

Summary

We introduce distributed electrostatic moments based on the electron localization function (ELF) to analyze molecular charge distributions. This method reveals insights into chemical reactivity, bonding, and interactions, aiding in force field design.

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Area of Science:

Quantum Chemistry
Computational Chemistry
Chemical Physics

Background:

Accurate molecular modeling requires precise charge distribution analysis.
Understanding local electronic effects is crucial for predicting chemical behavior.
Existing methods may not fully capture the nuances of charge distribution in various chemical environments.

Purpose of the Study:

To evaluate chemically intuitive distributed electrostatic moments using electron localization function (ELF) topological analysis.
To develop a method for calculating local electrostatic moments at non-atomic centers.
To correlate these local moments with chemical reactivity, bonding, and interactions.

Main Methods:

Topological analysis of the electron localization function (ELF).
Calculation of distributed electrostatic moments based on the ELF partition (DEMEP).
Decomposition of local dipole contributions into polarization and charge transfer components.

Main Results:

DEMEP accurately represents molecular dipoles and localizes moments at lone pairs, sigma bonds, and pi systems.
Local dipolar polarization of lone pairs correlates with chemical reactivity.
Charge transfer is the key factor in local bond dipoles, explaining inductive effects and hydrogen bonding.
Bond quadrupole polarization moments relate to pi character, aiding in the analysis of bond order and aromaticity.
Analysis of CO bond nature in various systems, including biological interactions, confirmed the role of CO bond polarization.

Conclusions:

DEMEP provides a powerful tool for understanding local electronic structure and chemical phenomena.
The method offers insights into inductive effects, hydrogen bonding, bond order, and aromaticity.
DEMEP is transferable and suitable for developing advanced force fields.