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Related Concept Videos

Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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

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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,...
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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.
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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...
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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Transverse Spin-Orbit Interaction of Light.

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Transverse spin-orbit interaction (SOI) of light, inherent in curved paths, splits light

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Area of Science:

  • Physics
  • Optics
  • Photonics

Background:

  • Light possesses longitudinal and transverse spin angular momentum.
  • Spin-orbit interaction (SOI) describes the coupling between light's spin and orbital angular momentum.

Purpose of the Study:

  • To investigate the transverse spin-orbit interaction (SOI) of light.
  • To explore the implications of transverse SOI in nanophotonic systems and curved optical paths.

Main Methods:

  • Analysis of the Helmholtz equation for light propagating in curved paths.
  • Theoretical investigation of spin-dependent dispersion relations.

Main Results:

  • Transverse SOI is an inherent property of the Helmholtz equation for light on curved paths.
  • This interaction lifts the degeneracy of dispersion relations for opposite transverse spin states.
  • Transverse SOI explains anomalous phenomena in nanophotonics, such as surface plasmon polaritons on curved surfaces and whispering gallery modes.

Conclusions:

  • Transverse SOI offers a new degree of freedom for integrated photonics and spin photonics.
  • Reveals analogies between spin photonics and spintronics.
  • Potential applications in astrophysics and advanced optical systems.