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Related Concept Videos

Raman Spectroscopy: Overview01:20

Raman Spectroscopy: Overview

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The underlying principle of Raman spectroscopy is based on the interaction between light and matter, specifically molecules' inelastic scattering of photons. When a monochromatic beam of light, typically from a laser source, interacts with a sample, most scattered light has the same frequency as the incident light. This is known as Rayleigh scattering.
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Atomic Nuclei: Nuclear Spin State Overview01:03

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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 one, the...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

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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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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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Atomic Nuclei: Magnetic Resonance01:05

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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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Related Experiment Video

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Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
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Raman scattering model of the spin noise.

G G Kozlov, A A Fomin, M Yu Petrov

    Optics Express
    |March 17, 2021
    PubMed
    Summary

    Spin noise spectroscopy (SNS) signals arise from light scattering by fluctuating medium susceptibility. Faraday rotation noise links to gyrotropic susceptibility, while ellipticity noise connects to linear anisotropy at specific frequencies.

    Area of Science:

    • Atomic, Molecular, and Optical Physics
    • Quantum Optics
    • Spectroscopy

    Background:

    • Spin noise spectroscopy (SNS) is a technique used to probe spin dynamics in atomic vapors.
    • The underlying physics of the polarimetric signal generation in SNS requires a clear theoretical framework.
    • Previous studies have observed Faraday rotation and ellipticity noise in SNS experiments.

    Purpose of the Study:

    • To analyze the formation mechanism of the polarimetric signal in spin noise spectroscopy (SNS).
    • To provide a rigorous theoretical calculation of the polarimetric signal within the single scattering approximation.
    • To elucidate the relationship between susceptibility tensor fluctuations and observed SNS signals.

    Main Methods:

    • Analysis based on the theory of light scattering.

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  • Rigorous calculation of the polarimetric signal (Faraday rotation and ellipticity) in the single scattering approximation.
  • Modeling the polarimetric signal as scattering of a probe light beam by fluctuating medium susceptibility.

    • Main Results:

    • Fluctuations in the gyrotropic (antisymmetric) part of the susceptibility tensor cause Faraday rotation noise at the Larmor frequency.
    • Fluctuations in the linear anisotropy (symmetric part) of the susceptibility tensor generate ellipticity noise at double the Larmor frequency.
    • Theoretical predictions show good agreement with experimental data for ellipticity noise in cesium vapor.

    Conclusions:

    • The polarimetric signal in SNS is fundamentally a light scattering phenomenon.
    • The distinct spectral features of Faraday rotation and ellipticity noise are directly linked to specific components of the susceptibility tensor.
    • This theoretical framework accurately explains experimental observations in atomic vapors.