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Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.5K
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,...
1.5K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

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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...
1.7K
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.5K
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...
1.5K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

3.2K
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...
3.2K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.5K
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...
1.5K
Quantum Numbers02:43

Quantum Numbers

50.1K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
50.1K

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Related Experiment Video

Updated: Feb 4, 2026

Study of Protein Dynamics via Neutron Spin Echo Spectroscopy
08:03

Study of Protein Dynamics via Neutron Spin Echo Spectroscopy

Published on: April 13, 2022

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Quantum Spin Dynamics in a Normal Bose Gas with Spin-Orbit Coupling.

Wai Ho Tang1, Shizhong Zhang1

  • 1Department of Physics and Center of Theoretical and Computational Physics, The University of Hong Kong, Hong Kong, China.

Physical Review Letters
|October 9, 2018
PubMed
Summary

We studied spin dynamics in a two-component Bose gas with spin-orbit coupling. The research found distinct spin decay and oscillation behaviors in adiabatic and diabatic regimes, observable in cold atom experiments.

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Area of Science:

  • Atomic, Molecular, and Optical Physics
  • Condensed Matter Physics
  • Quantum Dynamics

Background:

  • Spin-orbit coupling is crucial for understanding quantum systems.
  • Bose gases offer a platform for studying fundamental quantum phenomena.
  • Controlling spin dynamics is key for quantum information processing.

Purpose of the Study:

  • Investigate spin dynamics in a two-component Bose gas with spin-orbit coupling.
  • Derive and solve hydrodynamic equations for spin and number densities.
  • Analyze spin helix structure and dynamics in different regimes.

Main Methods:

  • Derivation of coupled hydrodynamic equations for densities and currents.
  • Analytic solutions for quasi-one-dimensional Bose gas.
  • Analysis of adiabatic and diabatic dynamics, including Rabi coupling effects.

Main Results:

  • Parabolic and exponential decay of transverse spin in the adiabatic regime.
  • Oscillatory behavior of transverse spin density and current in the diabatic regime, analogous to LC circuits.
  • Identification of observable timescales (milliseconds to seconds) using realistic parameters for Rubidium-87 (⁸⁷Rb).

Conclusions:

  • Spin dynamics in spin-orbit coupled Bose gases exhibit distinct behaviors depending on the regime.
  • The derived models provide a framework for understanding and predicting spin helix dynamics.
  • Experimental observation of these spin dynamics is feasible with current cold atom technology.