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Related Concept Videos

Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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 have a...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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,...
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.
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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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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...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.

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Spin guides and spin splitters: waveguide analogies in one-dimensional spin chains.

Melissa I Makin1, Jared H Cole, Charles D Hill

  • 1School of Physics, The University of Melbourne, Melbourne 3010, Australia.

Physical Review Letters
|February 7, 2012
PubMed
Summary
This summary is machine-generated.

Researchers created a "spin guide" for quantum information transport by controlling spin chains. This method mimics optical waveguides, enabling scalable control of spin excitations in solid-state systems.

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Area of Science:

  • Quantum physics
  • Solid-state physics
  • Information science

Background:

  • Quantum information transport is crucial for quantum technologies.
  • Controlling spin excitations in solid-state systems presents challenges.
  • Optical waveguide theory offers a framework for directed energy transport.

Purpose of the Study:

  • To establish a mapping between optical waveguide theory and spin-chain transport.
  • To develop a novel method for quantum information transport using spin chains.
  • To demonstrate the feasibility of scalable control architectures for spin guides.

Main Methods:

  • Applying temporally varying control profiles to a spin chain.
  • Designing a virtual waveguide or "spin guide" to direct spin excitations.
  • Mapping concepts like confinement, adiabatic bend loss, and beam splitting from optical waveguides to spin guides.

Main Results:

  • A successful mapping between waveguide theory and spin-chain transport was demonstrated.
  • Spin guides were designed to conduct spin excitations along defined space-time trajectories.
  • The principles of confinement, adiabatic bend loss, and beam splitting were shown to be applicable to spin guides, creating "spin splitters".

Conclusions:

  • The study presents an alternative approach to solid-state quantum information transport.
  • The developed "spin guide" method allows for scalable control architectures.
  • This work bridges concepts from optics and condensed matter for quantum information applications.