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

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

1.2K
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...
1.2K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

1.9K
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...
1.9K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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

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

1.2K
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...
1.2K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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

¹H NMR: Interpreting Distorted and Overlapping Signals

1.2K
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...
1.2K

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Related Experiment Video

Updated: Oct 11, 2025

Optimized Fabrication Procedure for High-Quality Graphene-based Moiré Superlattice Devices
11:24

Optimized Fabrication Procedure for High-Quality Graphene-based Moiré Superlattice Devices

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Correlation-Induced Triplet Pairing Superconductivity in Graphene-Based Moiré Systems.

Yang-Zhi Chou1, Fengcheng Wu2, Jay D Sau1

  • 1Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742, USA.

Physical Review Letters
|December 3, 2021
PubMed
Summary

Researchers explored triplet-pairing superconductivity in twisted trilayer graphene, finding f-wave pairing favored by its unique structure. This superconducting state is robust, time-reversal symmetric, and distinct from other known triplet superconductors.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Magic-angle twisted trilayer graphene exhibits complex electronic properties, including potential non-spin-singlet superconductivity.
  • Understanding the pairing mechanism in such systems is crucial for novel quantum phenomena.

Purpose of the Study:

  • Investigate triplet-pairing superconductivity in a correlation-induced spin-fermion model of Dirac fermions.
  • Explore the role of spin, valley, and sublattice degrees of freedom in superconductivity.
  • Analyze the impact of in-plane magnetic fields on the superconducting state.

Main Methods:

  • Utilized a spin-fermion model for Dirac fermions.
  • Incorporated spin, valley, and sublattice degrees of freedom.
  • Analyzed the effects of a small in-plane magnetic field.

Main Results:

  • Identified f-wave pairing as the favored superconducting state due to the valley-sublattice structure.
  • Characterized the superconducting state as time-reversal symmetric, fully gapped, and nontopological.
  • Observed partial polarization and slight enhancement of transition temperature under an in-plane magnetic field.

Conclusions:

  • The findings provide a theoretical framework for triplet-pairing superconductivity in graphene-based moiré systems.
  • The discovered f-wave superconductivity is fundamentally distinct from that in Helium-3 or ferromagnetic superconductors.
  • Results offer insights into exotic superconductivity driven by electronic correlations.