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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.

The Electrical Double Layer

The Electrical Double Layer

In the region where two bulk phases meet, an intricate electric charge distribution arises due to charge transfer, ion adsorption, molecular orientation, and charge distortion. This complex distribution is commonly referred to as the electrical double layer.When a solid electrode interfaces with ions in an electrolyte solution, the speed of electron transfer dictates the rates of oxidation and reduction. The electrode acquires a charge through the escape of atoms into the solution as cations or...

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Related Experiment Video

Updated: Jun 25, 2026

Evaluating Plasmonic Transport in Current-carrying Silver Nanowires

Evaluating Plasmonic Transport in Current-carrying Silver Nanowires

Published on: December 11, 2013

Theoretical insights into charge transfer plasmon lifetime.

Alemayehu Nana Koya, Longnan Li, Wei Li

|December 24, 2024

Summary

Charge transfer plasmon (CTP) resonances in gold nanodisk dimers exhibit narrow spectral width and longer lifetimes. These CTP modes offer potential for ultrafast information transfer in optoelectronics.

Area of Science:

Plasmonics
Nanophotonics
Theoretical Physics

Background:

Plasmon resonances in metallic nanoparticles are crucial for light-matter interactions.
Understanding charge dynamics is key to developing advanced optical devices.

Purpose of the Study:

To theoretically investigate the temporal dynamics of charge transfer plasmon (CTP) resonances.
To determine the dephasing time and characteristics of CTP modes in gold nanodisk dimers.

Main Methods:

Utilized Lorentz function and harmonic oscillator models for theoretical analysis.
Fitted scattering curves and near-field oscillations to extract plasmonic parameters.
Performed quantitative analysis of optical near-fields.

Main Results:

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Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons

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Last Updated: Jun 25, 2026

Evaluating Plasmonic Transport in Current-carrying Silver Nanowires

Evaluating Plasmonic Transport in Current-carrying Silver Nanowires

Published on: December 11, 2013

Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity

Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity

Published on: March 6, 2017

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons

Published on: July 21, 2018

CTP modes in conductively connected gold nanodisk dimers show narrow spectral width and longer lifetimes compared to other plasmon modes.
CTP modes oscillate out-of-phase with particle and dimer plasmon modes.
Dephasing time, near-field decay rate, and charge transfer time are on the femtosecond timescale.

Conclusions:

Conductively connected plasmonic nanoparticles facilitate ultrafast charge transfer.
CTP modes are promising for applications in all-optical computing and optoelectronics.
Femtosecond charge transfer dynamics highlight potential for high-speed information processing.