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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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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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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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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 systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Phonon-Driven Multipolar Dynamics in a Spin-Orbit Coupled Mott Insulator.

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Driven phonons can control hidden multipole orders in Mott insulators. This research explores exciting phonon modes to manipulate quadrupolar and octupolar moments, offering new avenues for solid-state control.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Light-Matter Interactions

Background:

  • Mott insulators can host complex multipole orders beyond simple magnetism.
  • Advances in pump-probe experiments enable studying light-driven phenomena in solids.

Purpose of the Study:

  • To theoretically investigate the impact of pumped and driven phonons on multipole moments in Mott insulators.
  • To explore how specific phonon modes can control quadrupolar and octupolar orders.

Main Methods:

  • Utilizing a Monte Carlo code with phonon incorporation.
  • Employing molecular dynamics simulations for coupled spin-phonon equations.
  • Applying analytical Floquet theory for driven phenomena.

Main Results:

  • Resonant excitation of E_{g} phonon modes induces multipolar precession.
  • Backaction leads to pseudochiral phonon dynamics in the octupolar phase.
  • Two-phonon drives can build up or switch octupolar order on picosecond timescales.

Conclusions:

  • Driven phonons offer a powerful tool to probe and control hidden orders in solids.
  • This work extends beyond conventional dipolar magnetism to multipole dynamics.