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Related Concept Videos

Determination of Crystal Structures01:29

Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
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
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...

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Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

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Published on: May 20, 2014

Light diffraction from colloidal crystals with low dielectric constant modulation: Simulations using

Alexander Tikhonov1, Rob D Coalson, Sanford A Asher

  • 1Department of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA.

Physical Review. B, Condensed Matter and Materials Physics
|July 27, 2010
PubMed
Summary
This summary is machine-generated.

We developed a theory to calculate diffraction efficiency in crystalline colloidal array (CCA) photonic crystals. This method optimizes sphere size and arrangement for efficient light diffraction in photonic crystal coatings.

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Area of Science:

  • Materials Science
  • Optics
  • Condensed Matter Physics

Background:

  • Crystalline colloidal arrays (CCAs) are photonic crystals with tunable optical properties.
  • Understanding diffraction efficiency is crucial for designing effective photonic crystal applications.
  • Previous models often simplified the complex scattering interactions within CCAs.

Purpose of the Study:

  • To develop a general theoretical framework for characterizing CCA photonic crystal diffraction.
  • To calculate and optimize diffraction efficiency based on sphere size, arrangement, and incident light angle.
  • To assess the impact of multiple scattering and disorder on diffraction properties.

Main Methods:

  • Developed a general theory based on a single-scattering kinematic approach.
  • Utilized Mie theory to calculate scattering properties of individual spheres.
  • Employed a 1D model to analyze multiple scattering and disorder effects.

Main Results:

  • Calculated relative diffraction intensities for fcc (111), (200), and (220) planes for a 380 nm lattice constant CCA.
  • Determined optimal sphere diameters for efficient diffraction from specific crystal planes.
  • Found effective light penetration depths ranging from 10-40 CCA layers for polystyrene spheres.

Conclusions:

  • The developed single-scattering theory accurately predicts CCA diffraction efficiency.
  • The methodology provides a pathway for optimizing photonic crystal coating materials.
  • Understanding scattering and disorder is key to designing advanced photonic devices.