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Related Concept Videos

Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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

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

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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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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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Valence Bond Theory02:42

Valence Bond Theory

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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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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.
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...
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Spin-Resolved Quantum Scars in Confined Spin-Coupled Two-Dimensional Electron Gas.

Michael Berger1, Dominik Schulz1, Jamal Berakdar1

  • 1Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, Germany.

Nanomaterials (Basel, Switzerland)
|June 2, 2021
PubMed
Summary
This summary is machine-generated.

Spin influences quantum scarring in semiconductor systems. This study reveals that quantum scars can be spin-mixed or spin-polarized, detectable through transport measurements or spectroscopy.

Keywords:
periodic orbitsquantum chaosquantum scarsspin-orbit coupling

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Spintronics

Background:

  • Quantum scars are regions of enhanced probability density in quantum systems.
  • Previous studies focused on spinless systems, leaving the role of spin unexplored.
  • Semiconductor heterostructures offer a tunable platform for studying quantum phenomena.

Purpose of the Study:

  • To investigate the influence of spin on quantum scarring in a two-dimensional electron gas (2DEG).
  • To analyze the spin-dependent properties of quantum scars in a Rashba spin-orbit coupled system.
  • To identify potential experimental methods for detecting spin-related quantum scarring.

Main Methods:

  • Calculation of the high-energy spectrum for individual spin channels in a 2DEG.
  • Application of statistical methods adapted from spinless quantum scarring studies.
  • Theoretical modeling of a semiconductor heterostructure with confining potential, magnetic field, and Rashba spin-orbit coupling.

Main Results:

  • Demonstration of spin-dependent quantum scarring in the studied system.
  • Identification of spin-mixed and spin-polarized scars.
  • Prediction of scar behavior based on spin channel analysis.

Conclusions:

  • Spin plays a crucial role in the formation and characteristics of quantum scars.
  • Spin-coupled electronic systems exhibit unique scarring phenomena.
  • Experimental detection of spin-dependent quantum scars is feasible via transport or spectroscopy techniques.