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Related Concept Videos

Determination of Crystal Structures01:29

Determination of Crystal Structures

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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...
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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.
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X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
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Crystallographic point groups represent the various symmetry operations that can occur within crystals. They are unique in that at least one point will always remain unchanged during these actions. For instance, consider the triclinic system. This system, devoid of any axis or plane of symmetry, aligns with the C1 and Ci point groups.where Cᵢ is characterized solely by a center of inversion.Contrastingly, the monoclinic system introduces an element of symmetry. This system with one plane...
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Microfluidic Chips for In Situ Crystal X-ray Diffraction and In Situ Dynamic Light Scattering for Serial Crystallography
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Dynamic quantum crystallography: lattice-dynamical models refined against diffraction data. I. Theory.

Anna A Hoser1, Anders Ø Madsen1

  • 1Department of Chemistry, University of Copenhagen, Universitetsparken 5, Copenhagen, 2100, Denmark.

Acta Crystallographica. Section A, Foundations and Advances
|February 27, 2016
PubMed
Summary
This summary is machine-generated.

This study refines lattice dynamics using ab initio calculations and diffraction data. The new model accurately predicts atomic displacements, offering a path to calculating material properties.

Keywords:
Debye–Waller factorsab initio calculationslattice dynamicsrefinementthermal motion

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Area of Science:

  • Solid-state physics
  • Materials science
  • Crystallography

Background:

  • Conventional crystallographic models use anisotropic displacement parameters.
  • Lattice dynamics describes atomic vibrations in solids.

Purpose of the Study:

  • To refine a lattice-dynamical model using periodic ab initio calculations.
  • To test the model against elastic diffraction data (X-ray or neutron).
  • To compare the model's performance with conventional methods.

Main Methods:

  • Periodic ab initio calculations at the Γ point.
  • Refinement of a lattice-dynamical model against elastic diffraction data.
  • Comparison with crystallographic models using anisotropic displacement parameters.

Main Results:

  • A handful of parameters in the lattice-dynamical model achieved agreement comparable to conventional methods.
  • Hydrogen displacement parameters derived from X-ray data correlated well with neutron diffraction results.
  • The refined model shows potential for evaluating thermodynamic and other material properties.

Conclusions:

  • The refined lattice-dynamical model provides an accurate and efficient alternative to conventional crystallographic methods.
  • This approach facilitates the evaluation of various material properties using diffraction and spectroscopic data.
  • The study opens avenues for multi-temperature and inelastic diffraction data analysis.