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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.

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...

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Related Experiment Video

Updated: Jun 5, 2026

Advanced Compositional Analysis of Nanoparticle-polymer Composites Using Direct Fluorescence Imaging

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Published on: July 19, 2016

Energy transfer in colloidal CdTe quantum dot nanoclusters.

Clare Higgins¹, Manuela Lunz, A Louise Bradley

¹Semiconductor Photonics group, School of Physics, Trinity College Dublin, Dublin 2, Ireland.

|December 18, 2010

Summary

This summary is machine-generated.

Colloidal quantum dot (QD) nanoclusters were formed, demonstrating Förster resonant energy transfer (FRET) between donor and acceptor QDs. Concentration-dependent studies revealed distinct cluster formation regimes and energy transfer pathways.

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Correlative Light- and Electron Microscopy Using Quantum Dot Nanoparticles

Correlative Light- and Electron Microscopy Using Quantum Dot Nanoparticles

Published on: August 7, 2016

Area of Science:

Materials Science
Nanotechnology
Photochemistry

Background:

Quantum dots (QDs) are semiconductor nanoparticles with size-tunable optical and electronic properties.
Förster resonant energy transfer (FRET) is a non-radiative energy transfer mechanism crucial in biological and nanoscale systems.
Controlling QD assembly into nanoclusters is key to harnessing their collective properties.

Purpose of the Study:

To investigate the formation of nanoclusters using oppositely charged colloidal Cadmium Telluride (CdTe) quantum dots (QDs).
To explore the energy transfer dynamics, specifically FRET, within these QD nanoclusters.
To understand the influence of concentration and size on nanocluster assembly and FRET efficiency.

Main Methods:

Synthesis of oppositely charged colloidal CdTe QDs of two distinct sizes.
Preparation of QD nanoclusters by mixing donor and acceptor QDs in aqueous solutions.
Characterization using photoluminescence (PL) spectra and time-resolved PL decay measurements.

Main Results:

Evidence of FRET from donor QDs to acceptor QDs within the nanoclusters was observed.
A concentration dependence of donor QD lifetime indicated varying cluster formation.
Distinct regimes of cluster formation were identified, including donor-to-donor FRET and all-donor clusters at high donor concentrations.

Conclusions:

Oppositely charged CdTe QDs can self-assemble into nanoclusters exhibiting FRET.
QD concentration significantly impacts nanocluster architecture and energy transfer pathways.
Understanding these assembly dynamics is vital for designing advanced QD-based nanomaterials.