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Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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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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Spin–Spin Coupling Constant: Overview01:08

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

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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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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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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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Topological spin-orbit-coupled fermions beyond rotating wave approximation.

Han Zhang1, Wen-Wei Wang1, Chang Qiao1

  • 1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.

Science Bulletin
|February 8, 2024
PubMed
Summary
This summary is machine-generated.

Researchers developed a new method for spin-orbit-coupled ultracold gases beyond the rotating wave approximation (RWA). This technique creates a longer-lived 2D topological Fermi gas, enabling exploration of novel quantum phenomena.

Keywords:
Fermi gasesQuantum simulationSpin–orbit couplingTopological phases of matterUltracold atoms

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Area of Science:

  • Quantum physics
  • Ultracold atomic gases
  • Topological matter

Background:

  • Spin-orbit coupling (SO) in ultracold gases is typically described using the rotating wave approximation (RWA).
  • RWA simplifies models by neglecting counter-rotating terms, limiting the characterization of SO coupling to single, near-resonant interactions.
  • Existing methods face challenges in achieving stable, multi-dimensional SO coupling configurations.

Purpose of the Study:

  • To propose and experimentally realize a novel scheme for achieving a pair of two-dimensional (2D) spin-orbit (SO) couplings in ultracold fermions.
  • To go beyond the limitations of the rotating wave approximation (RWA) in describing SO-coupled systems.
  • To investigate anomalous Floquet topological states and improve the lifetime of 2D-SO-coupled Fermi gases.

Main Methods:

  • Development of a new experimental scheme for creating dual 2D SO couplings in ultracold fermions.
  • Utilizing pump-probe quench measurements to analyze the phase relations between SO couplings.
  • Measuring band-inversion surfaces to characterize the topological properties of the system.

Main Results:

  • Successful experimental realization of a pair of 2D SO couplings beyond RWA.
  • Observation of a deterministic phase relation enabling simultaneous tuning of SO couplings.
  • Creation of the first anomalous Floquet topological Fermi gas beyond RWA.
  • Significant improvement in the lifetime of the 2D-SO-coupled Fermi gas.
  • Observation of band-inversion surfaces consistent with high Chern number Floquet topological states.

Conclusions:

  • The developed scheme allows for the exploration of exotic SO physics and anomalous topological states.
  • This work provides a robust platform for studying long-lived SO-coupled ultracold fermions.
  • The findings pave the way for new research directions in topological quantum matter and ultracold atom physics.