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Related Concept Videos

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...
Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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,...
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: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved in...

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Related Experiment Video

Updated: Jul 13, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
12:57

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

Cubic Dresselhaus spin-orbit coupling in 2D electron quantum dots.

Jacob J Krich1, Bertrand I Halperin

  • 1Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|August 7, 2007
PubMed
Summary

This study investigates cubic Dresselhaus spin-orbit coupling in quantum dots. Results suggest a lower GaAs Dresselhaus coupling constant and highlight its significant role in spin-flip effects.

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Last Updated: Jul 13, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
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Published on: October 13, 2017

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Semiconductor spintronics

Background:

  • Spin-orbit coupling is crucial in semiconductor nanostructures.
  • Cubic Dresselhaus coupling, proportional to p3, is often overlooked.
  • GaAs/AlGaAs quantum dots are model systems for studying spin phenomena.

Purpose of the Study:

  • To investigate the effects of cubic Dresselhaus spin-orbit coupling in GaAs/AlGaAs quantum dots.
  • To estimate the magnitude of spin-orbit induced avoided crossings.
  • To determine the contribution of cubic Dresselhaus coupling to spin-flip effects.

Main Methods:

  • Semiclassical billiard model for closed quantum dots in a Zeeman field.
  • Random matrix theory for conductance calculations in open quantum dots.
  • Comparison with experimental data from an 8 microm2 quantum dot.

Main Results:

  • The GaAs Dresselhaus coupling constant (gamma) is estimated to be approximately 9 eV A3.
  • This value is significantly lower than the commonly cited 27.5 eV A3.
  • Cubic Dresselhaus coupling is identified as a major contributor to spin-flip effects.

Conclusions:

  • The cubic Dresselhaus term plays a dominant role in spin-flip phenomena in these quantum dots.
  • A revised, lower value for the GaAs Dresselhaus coupling constant is proposed.
  • This work refines our understanding of spin dynamics in semiconductor quantum dots.