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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...
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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 one, the...
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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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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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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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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...

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Weakly coupled s=1/2 quantum spin singlets in Ba3Cr2O8.

M Kofu1, J-H Kim, S Ji

  • 1Department of Physics, University of Virginia, Charlottesville, Virginia 22904-4714, USA.

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Researchers studied magnetic interactions in Ba3Cr2O8 using neutron scattering. They discovered three excitation modes arising from anisotropic interactions, making it a model for quantum spin dimers.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Magnetism

Background:

  • Understanding magnetic interactions in quantum materials is crucial for developing new electronic devices.
  • Barium chromate (Ba3Cr2O8) is a material with potential applications in quantum computing.
  • Jahn-Teller active ions can significantly influence magnetic properties.

Purpose of the Study:

  • To characterize the magnetic interactions in Ba3Cr2O8.
  • To investigate the origin of observed excitation modes.
  • To determine if Ba3Cr2O8 serves as a model system for quantum spin dimers.

Main Methods:

  • Single crystal inelastic neutron scattering (INS) with and without an external magnetic field.
  • Powder neutron diffraction.
  • Analysis of singlet-to-triplet excitation modes.

Main Results:

  • Identified three singlet-to-triplet excitation modes in the (h, h, l) scattering plane.
  • Attributed these modes to spatially anisotropic interdimer interactions.
  • Observed strong intradimer coupling (J0=2.38(2) meV) and weak interdimer interactions (|Jinter|≤0.52(2) meV).
  • Linked interactions to lattice distortions around Jahn-Teller active Cr5+(3d1) ions.

Conclusions:

  • Ba3Cr2O8 exhibits complex magnetic behavior driven by anisotropic interdimer interactions.
  • The material's properties make it an excellent model system for studying weakly coupled spin-1/2 quantum spin dimers.
  • Lattice distortions play a key role in mediating magnetic interactions in this system.