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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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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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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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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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Soft Modes, Localization, and Two-Level Systems in Spin Glasses.

M Baity-Jesi1, V Martín-Mayor2, G Parisi3

  • 1Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain, Dipartimento di Fisica, La Sapienza Università di Roma, 00185 Roma, Italy, and Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), 50009 Zaragoza, Spain.

Physical Review Letters
|January 15, 2016
PubMed
Summary
This summary is machine-generated.

Researchers studied inherent structures in 3D Heisenberg spin glasses under random fields. They found soft plastic modes and energy minima, suggesting potential for classical two-level systems.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • Spin glasses are complex magnetic materials with disordered interactions.
  • Understanding their low-energy structures is crucial for explaining their properties.

Purpose of the Study:

  • Investigate the properties of inherent structures in 3D Heisenberg spin glasses under a random magnetic field.
  • Characterize the density of states and identify low-energy configurations.

Main Methods:

  • Simulated instantaneous cooling from infinite temperature.
  • Analyzed the density of states g(ω) and its behavior with respect to energy.
  • Perturbed the system along the softest modes to explore energy landscapes.

Main Results:

  • Identified localized soft plastic modes in the density of states for moderate fields, with g(ω) proportional to ω^4.
  • Observed the appearance of a gap in the density of states for large fields.
  • Found that perturbing along softest modes leads to similar energy minima separated by small barriers.

Conclusions:

  • The identified energy minima are strong candidates for classical two-level systems.
  • The study provides insights into the nature of disordered magnetic systems and their low-energy excitations.