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Related Concept Videos

Crystal Field Theory - Octahedral Complexes02:58

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...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...

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Related Experiment Video

Updated: Jun 8, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Mode coupling for phonons in a single-layer dusty plasma crystal.

Bin Liu1, J Goree, Yan Feng

  • 1Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242, USA.

Physical Review Letters
|September 28, 2010
PubMed
Summary

Mode coupling in dusty plasma creates new hybrid and nondispersive modes. This phenomenon, observed in charged microparticle layers, reveals complex behaviors not fully explained by current theories.

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

Published on: July 21, 2018

Related Experiment Videos

Last Updated: Jun 8, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
07:39

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

Published on: July 21, 2018

Area of Science:

  • Physics
  • Plasma Physics
  • Condensed Matter Physics

Background:

  • Dusty plasmas exhibit complex behaviors due to interactions between charged particles.
  • Confined charged microparticle layers typically display three distinct modes of motion.
  • Understanding wave propagation and mode coupling is crucial for plasma physics.

Purpose of the Study:

  • To investigate the emergence of new modes in dusty plasmas resulting from phonon coupling.
  • To experimentally observe and theoretically analyze mode coupling in a layer of charged microparticles.
  • To compare experimental findings with predictions from linear theory based on ion wakes.

Main Methods:

  • Experimental setup involving a single horizontal layer of charged microparticles with vertical and horizontal motion.
  • Observation of particle behavior and mode excitation.
  • Development and application of a linear theory incorporating ion wake interactions.

Main Results:

  • Mode coupling was experimentally shown to generate a new hybrid mode and an additional novel mode.
  • Previously reported hybrid and nondispersive modes were observed in an unmelted lattice.
  • Linear theory based on ion wakes predicted some, but not all, of the observed modes.

Conclusions:

  • Phonon coupling in dusty plasmas leads to the formation of new hybrid and nondispersive modes.
  • Existing linear theories partially explain the observed phenomena, indicating the need for refined models.
  • Similar mode coupling behaviors may occur in other multiphase systems.