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¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

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At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
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The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.
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Chirality is most prevalent in carbon-based tetrahedral compounds, but this important facet of molecular symmetry extends to sp3-hybridized nitrogen, phosphorus and sulfur centers, including trivalent molecules with lone pairs. Here, the lone pair behaves as a functional group in addition to the other three substituents to form an analogous tetrahedral center that can be chiral.
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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.
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[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement01:21

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The Cope rearrangement is classified as a [3,3] sigmatropic shift in 1,5-dienes, leading to a more stable, isomeric 1,5-diene. The reaction involves a concerted movement of six electrons, four from two π bonds and two from a σ bond, via an energetically favorable chair-like transition state.
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Line Shape Analysis of Dynamic NMR Spectra for Characterizing Coordination Sphere Rearrangements at a Chiral Rhenium Polyhydride Complex
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Chirality relaxation in low-temperature strongly Rashba-coupled systems.

P C Verpoort1, V Narayan1

  • 1Department of Physics, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|April 3, 2020
PubMed
Summary

Inter-carrier scattering, not phonon interactions, drives relaxation of charge carrier chirality in Rashba systems at low temperatures. This finding is crucial for understanding spin dynamics in materials like GeTe.

Keywords:
Boltzmann relaxationRashbanon-equilibrium

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Non-equilibrium chirality distributions in charge carriers are key to spintronic applications.
  • Rashba systems exhibit unique spin-momentum locking, influencing carrier dynamics.
  • Understanding relaxation mechanisms is vital for controlling spin states in materials.

Purpose of the Study:

  • To investigate the relaxation dynamics of non-equilibrium chirality in charge carriers within Rashba systems.
  • To identify the dominant scattering mechanisms responsible for chirality relaxation at low temperatures.
  • To develop a theoretical framework for inter-carrier scattering in these systems and assess its relevance to specific materials like GeTe.

Main Methods:

  • Theoretical modeling of charge carrier dynamics in Rashba systems.
  • Analysis of inter-band transitions and scattering processes (phonon and inter-carrier).
  • Calculation of relaxation timescales based on Coulomb interactions and spin textures.

Main Results:

  • Inter-Rashba band transitions are suppressed at low temperatures due to Rashba momentum split and chiral spin texture.
  • Phonon-mediated momentum exchange is negligible when thermal phonon momentum is less than twice the Rashba momentum.
  • Inter-carrier scattering emerges as the primary relaxation mechanism for non-equilibrium chirality.
  • The opposing spin structure of Rashba bands significantly impacts inter-carrier scattering magnitude.
  • An explicit formula for the inter-band relaxation timescale due to inter-carrier Coulomb scattering was derived.

Conclusions:

  • Inter-carrier Coulomb scattering is the dominant mechanism for relaxing non-equilibrium chirality in Rashba systems at low temperatures.
  • The findings provide a general framework applicable to bulk Rashba semiconductors such as GeTe.
  • This work clarifies the fundamental processes governing spin dynamics in materials with strong spin-orbit coupling.