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Calculations of Electric Potential II

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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.
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Related Experiment Video

Updated: Jun 2, 2026

Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Coarse-graining the electrostatic potential via distributed multipole expansions.

Apostol Gramada¹, Philip E Bourne

¹University of California San Diego, Skaggs School of Pharmacy and Pharmaceutical Sciences, La Jolla, CA 92093, USA.

Computer Physics Communications

|May 17, 2011

Summary

This summary is machine-generated.

This study introduces a distributed multipole expansion to accurately calculate electrostatic potentials around molecules. This method overcomes limitations of traditional approaches, enabling efficient coarse-graining for large biological systems.

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Area of Science:

Computational chemistry
Molecular modeling
Electrostatics

Background:

Traditional multipole expansions for electrostatic potential are limited to regions outside charge distributions.
Accurate electrostatic potential calculations are crucial for understanding molecular interactions, especially in biological systems.

Purpose of the Study:

To develop and demonstrate a distributed multipole expansion (DME) approach to overcome the limitations of traditional methods.
To provide a practical algorithm for the computational implementation of DME.
To enable accurate electrostatic potential representation at arbitrary positions around molecules.

Main Methods:

A novel distributed multipole expansion approach is proposed.
The charge distribution is partitioned into subsystems.
A computational algorithm for implementing DME is provided.

Main Results:

The proposed DME method allows for accurate electrostatic potential calculations outside enclosing surfaces of arbitrary shape.
The complexity of the coarse-grained model scales as N(2/3) with the number of charges (N).
The method is validated for computational implementation.

Conclusions:

The distributed multipole expansion effectively resolves limitations of traditional methods for electrostatic potential calculations.
This approach is particularly useful for coarse-grained studies of large biological macromolecules with fixed configurations.
DME offers an efficient and accurate method for molecular electrostatic modeling.