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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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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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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...
1.9K
Atomic Nuclei: Nuclear Spin State Overview01:03

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2.2K
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 one, the...
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Spin–Spin Coupling: One-Bond Coupling01:17

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1.6K
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,...
1.6K
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.7K
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...
1.7K
Valence Bond Theory02:42

Valence Bond Theory

11.7K
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...
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    Researchers developed a novel method for arbitrary spin-orbit conversion using liquid-crystal geometric phase devices. This approach enables efficient, reconfigurable light structuring with tunable Hermite-Gauss modes.

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    Area of Science:

    • Optics and Photonics
    • Flat Optics
    • Light Structuring

    Background:

    • Geometric phase elements offer a flat optics platform for light structuring.
    • Efficient generation of arbitrary spin-orbit states using passive devices is challenging.

    Purpose of the Study:

    • To experimentally demonstrate arbitrary spin-orbit conversions.
    • To utilize liquid-crystal geometric phase devices for spin-switchable SU(2) rotations.
    • To explore tunable Hermite-Gauss modes for light manipulation.

    Main Methods:

    • Exploiting liquid-crystal geometric phase devices.
    • Implementing spin-switchable SU(2) rotations.
    • Utilizing tunable Hermite-Gauss modes.

    Main Results:

    • Demonstrated arbitrary spin-orbit conversions.
    • Achieved unitary conversion and modal independence.
    • Showcased reconfigurable orbital angular momentum bases and lossless conversion.

    Conclusions:

    • The SU(2) approach provides a promising spin-orbit interface.
    • This method overcomes limitations of conventional geometric phase devices.
    • Enables efficient and reconfigurable light structuring with enhanced control.