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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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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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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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Valence Bond Theory

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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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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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Controllable magnetic correlation between two impurities by spin-orbit coupling in graphene.

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Two magnetic impurities on graphene nanoribbons can switch between ferromagnetic and anti-ferromagnetic states. This spin-spin interaction is tunable via spin-orbit coupling and chemical potential, enabling potential device applications.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Quantum mechanics

Background:

  • Graphene nanoribbons with magnetic impurities exhibit unique electronic properties.
  • Indirect magnetic coupling between impurities can be mediated by conducting carriers.

Purpose of the Study:

  • Investigate the magnetic interaction between two impurities on a zigzag graphene nanoribbon.
  • Explore the tunability of magnetic exchange interactions using spin-orbit coupling and chemical potential.

Main Methods:

  • Utilized Quantum Monte Carlo (QMC) simulations.
  • Analyzed the effects of spin-orbit coupling (λ) and chemical potential (μ).

Main Results:

  • Demonstrated that λ and μ can drive transitions between ferromagnetic and anti-ferromagnetic spin exchange.
  • Observed broken spatial symmetry and spin-spin correlations due to spin-orbit coupling.
  • Identified spatial anisotropy in spin exchange, differentiating from normal Fermi liquid behavior.

Conclusions:

  • The magnetic exchange interaction in graphene nanoribbons is controllable.
  • Experimentally reachable tuning parameters (λ and μ) suggest potential for device applications.
  • Spin-orbit coupling induces spatial anisotropy in magnetic interactions.