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Related Concept Videos

Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Atomic Nuclei: Magnetic Resonance01:05

Atomic Nuclei: Magnetic Resonance

The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...
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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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The earth's gravitational field produces a 'twisting force' perpendicular to the angular momentum of a spinning mass (such as a spinning top) that causes the mass to 'wobble' around the gravitational field axis in a phenomenon called precession. Similarly, the magnetic moment (μ) of a spinning nucleus precesses due to an external magnetic field directed along the z-axis. The precession of the magnetic moment vector about the magnetic field is called Larmor precession, and the angular frequency...
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The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...

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Optimized Fabrication Procedure for High-Quality Graphene-based Moiré Superlattice Devices
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Cyclotron resonance in bilayer graphene.

E A Henriksen1, Z Jiang, L-C Tung

  • 1Department of Physics, Columbia University, New York, New York 10027, USA. erik@phys.columbia.edu

Physical Review Letters
|March 21, 2008
PubMed
Summary

Researchers measured cyclotron resonance in bilayer graphene, observing unique energy transitions. This reveals an unusual shift in electron and hole energy dispersion from parabolic to linear with increasing magnetic fields.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Quantum mechanics

Background:

  • Bilayer graphene exhibits unique electronic properties due to its layered structure.
  • Understanding electron and hole behavior in bilayer graphene is crucial for developing novel electronic devices.
  • Cyclotron resonance is a powerful technique for probing the electronic band structure of materials.

Purpose of the Study:

  • To perform the first measurements of cyclotron resonance in bilayer graphene.
  • To investigate the energy dispersion of electrons and holes in bilayer graphene under magnetic fields.
  • To compare experimental findings with theoretical models of bilayer graphene.

Main Methods:

  • Measurements of cyclotron resonance were conducted on bilayer graphene samples.
  • Magnetic fields up to 18 Tesla were applied to induce Landau levels.
  • Intraband transitions in both conduction and valence bands were analyzed.

Main Results:

  • Four distinct intraband transitions were observed for both electrons and holes.
  • Transition energies showed a linear dependence on magnetic field for low Landau levels.
  • Higher transitions exhibited a square root dependence on magnetic field, indicating a change in energy dispersion.
  • The derived density of states generally agreed with theoretical calculations.

Conclusions:

  • The study reveals an unusual transition from parabolic to linear energy dispersion in bilayer graphene.
  • Experimental results partially align with theoretical predictions but highlight discrepancies.
  • Further theoretical refinement is needed to fully capture the observed electronic behavior in bilayer graphene.