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The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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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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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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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.
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Rotational photonic spin Hall effect.

Yougang Ke1, Yongfeng Bian1, Qiang Tang1

  • 1School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China.

Nanophotonics (Berlin, Germany)
|December 5, 2024
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Summary
This summary is machine-generated.

Researchers demonstrate a novel 3-D rotational photonic spin Hall effect (PSHE) using Pancharatnam-Berry phase metasurfaces. This breakthrough enables self-rotating spin-splitting patterns in three dimensions, advancing spin photon manipulation.

Keywords:
Pancharatnam–Berry phasemetasurfacephotonic spin Hall effectspin-Hall devicespin-orbit interaction

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Area of Science:

  • Photonics and Optics
  • Metamaterials
  • Spin Optics

Background:

  • The photonic spin Hall effect (PSHE) is crucial for spin-based optical applications.
  • Existing research primarily focuses on transverse or longitudinal spin-dependent splitting.
  • A three-dimensional (3-D) self-rotating splitting pattern for PSHE has been notably absent in scientific literature.

Purpose of the Study:

  • To introduce and demonstrate a novel 3-D rotational photonic spin Hall effect (PSHE).
  • To explore the tunability of this 3-D rotational PSHE using engineered Pancharatnam-Berry phase metasurfaces.
  • To investigate methods for controlling the rotation and lobe structure of spin-dependent splitting patterns.

Main Methods:

  • Utilized precisely designed Pancharatnam-Berry phase dielectric metasurfaces.
  • Investigated the behavior of spin-splitting patterns with a single metasurface to observe rotation along the propagation path.
  • Employed cascaded metasurfaces to demonstrate tunable rotation angles by adjusting relative metasurface orientation.
  • Introduced a dynamic phase to independently control the lobe number of spin-dependent splitting patterns, achieving asymmetrical rotation.

Main Results:

  • Demonstrated lobe-structured spin-splitting patterns that rotate and evolve in 3-D space using single metasurfaces.
  • Showcased tunable rotation angles of the splitting patterns by manipulating the relative angles of cascaded metasurfaces.
  • Achieved independent control over the lobe number of the spin-dependent splitting patterns via dynamic phase implementation, leading to asymmetrical rotation.

Conclusions:

  • Successfully introduced and experimentally validated a novel 3-D rotational PSHE.
  • The developed Pancharatnam-Berry phase metasurfaces offer a versatile platform for multidimensional manipulation of spin photons.
  • Potential applications include advanced optical microscopy and other spin-photonics technologies.