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Related Concept Videos

NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

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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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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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Spin–Spin Coupling Constant: Overview01:08

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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.
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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The Wave Nature of Light02:12

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The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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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...
1.7K
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.5K
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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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Spin waves in disordered materials.

Paweł Buczek1, Stefan Thomas2, Alberto Marmodoro3

  • 1Hochschule für Angewandte Wissenschaften Hamburg, Fakultät Technik und Informatik, Berliner Tor 7, 20099 Hamburg, Germany.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|September 6, 2018
PubMed
Summary
This summary is machine-generated.

We developed a new method to study spin waves (magnons) in disordered magnetic materials. This approach efficiently calculates magnon properties in alloys and doped materials, applicable to various disorder types.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Physics

Background:

  • Studying spin waves (magnons) in disordered magnetic materials is crucial for understanding their magnetic properties.
  • Existing methods often struggle with arbitrary disorder types and concentrations.
  • Accurate theoretical models are needed for designing novel magnetic materials.

Purpose of the Study:

  • To present an efficient and versatile methodology for calculating magnon properties in disordered spin systems.
  • To enable the study of arbitrary disorder types and concentrations in magnetic materials.
  • To provide an ab initio approach for predicting magnon behavior in real materials.

Main Methods:

  • Utilizing a Heisenberg model for spin systems with disorder.
  • Employing a single-site coherent potential approximation for substitutional disorder.
  • Performing direct numerical simulations of large supercells with configurational averaging for arbitrary disorder.
  • Deriving effective interactions from first-principles using self-consistent Green function methods within density functional theory.

Main Results:

  • The proposed methodology efficiently calculates magnon properties across all concentrations and wave vectors for substitutional disorder.
  • The approach is computationally inexpensive and directly applicable to alloys and doped materials.
  • The method is versatile, handling arbitrary disorder types through supercell simulations.

Conclusions:

  • The developed methodology offers an efficient and accurate way to study spin waves in a wide range of disordered magnetic materials.
  • This ab initio approach bridges the gap between theoretical models and experimental observations in real materials.
  • The findings pave the way for the rational design of magnetic materials with tailored spin wave properties.