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

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

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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...
1.1K
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

1.1K
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...
1.1K
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.1K
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...
1.1K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.1K
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.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.1K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

1.5K
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...
1.5K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

988
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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Related Experiment Video

Updated: Aug 22, 2025

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

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Entanglement Negativity and Concurrence in Some Low-Dimensional Spin Systems.

Leonardo S Lima1

  • 1Department of Physics, Federal Center for Technological Education of Minas Gerais, Belo Horizonte 30510-000, MG, Brazil.

Entropy (Basel, Switzerland)
|November 11, 2022
PubMed
Summary
This summary is machine-generated.

This study explores how magnon bands affect quantum entanglement in magnetic lattice models. Researchers analyzed entanglement negativity in antiferromagnetic and ferromagnetic triangular lattices, revealing insights into quantum correlations.

Keywords:
bicubic interactionentanglement negativitymetal-insulating antiferromagnettriangular lattice

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Investigating quantum entanglement in magnetic systems is crucial for understanding complex materials.
  • The antiferromagnetic XXZ model on a triangular lattice provides a platform to study exotic magnetic phenomena.

Purpose of the Study:

  • To investigate the influence of magnon bands on quantum entanglement in the antiferromagnetic XXZ model.
  • To analyze quantum correlations in various frustrated magnetic models, including bilayer systems.

Main Methods:

  • Studied the antiferromagnetic XXZ model on triangular lattices (ferromagnetic and antiferromagnetic).
  • Utilized entanglement negativity as a measure of quantum entanglement.
  • Analyzed magnon current induced by interfacial exchange coupling in antiferromagnetic insulator-normal metal bilayers.
  • Examined quantum correlations in frustrated models like the metal-insulation antiferromagnetic bilayer and Heisenberg models.

Main Results:

  • Identified the significant influence of magnon bands on entanglement properties.
  • Quantified entanglement negativity in different magnetic lattice configurations.
  • Demonstrated the role of interfacial coupling in inducing magnon currents and affecting correlations.

Conclusions:

  • Magnon bands play a critical role in mediating quantum entanglement in magnetic systems.
  • The findings contribute to understanding quantum correlations in frustrated magnetic materials and bilayer structures.
  • This research has implications for designing novel quantum devices and materials.