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Related Concept Videos

X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
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Related Experiment Video

Updated: Jun 15, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Criterion for Bragg and Raman-Nath diffraction regimes.

M G Moharam, L Young

    Applied Optics
    |March 4, 2010
    PubMed
    Summary
    This summary is machine-generated.

    The parameter Q is unreliable for distinguishing between Raman-Nath and Bragg diffraction regimes in phase gratings. A more reliable parameter, rho, effectively replaces Q for accurate regime determination.

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    Characterization of Nanocrystal Size Distribution using Raman Spectroscopy with a Multi-particle Phonon Confinement Model

    Published on: August 22, 2015

    Area of Science:

    • Optics and Photonics
    • Diffraction Physics

    Background:

    • Traditional understanding posits thin phase gratings exhibit Raman-Nath behavior and thick gratings exhibit Bragg behavior.
    • The parameter Q by Klein and Cook is commonly used to differentiate between these regimes based on grating thickness.

    Purpose of the Study:

    • To highlight the limitations of the parameter Q in predicting diffraction regimes.
    • To introduce and advocate for the parameter rho as a more reliable criterion.

    Main Methods:

    • Analysis of diffraction regimes in phase gratings.
    • Comparison of the predictive capabilities of parameter Q and parameter rho.
    • Theoretical definition of parameter rho: lambda(0)^2 / (Lambda^2 * n(0) * n(1))

    Main Results:

    • The parameter Q is shown to be unreliable, particularly when grating strength is not considered.
    • Observed Raman-Nath behavior in Fe-doped LiNbO3 gratings despite large Q values.
    • Parameter rho is demonstrated as a reliable and effective replacement for Q.

    Conclusions:

    • Parameter Q's reliability is contingent on grating strength, making it potentially misleading.
    • Parameter rho offers a robust criterion for determining Raman-Nath vs. Bragg diffraction, independent of grating thickness.
    • The concept of 'thin' and 'thick' gratings is less critical than refractive index modulation when using parameter rho.