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Related Concept Videos

X-ray Crystallography02:18

X-ray Crystallography

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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.
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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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.
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are  scattered by the electron clouds around the sample atoms. The  X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal...
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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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Solving the crystallographic phase problem using dynamical scattering in electron diffraction.

Christoph T Koch1

  • 1Department of Physics, Humboldt-Universität zu Berlin, Newtonstrasse 15, Berlin, 12489, Germany.

Ultramicroscopy
|February 15, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a new method to solve crystal structures using electron diffraction patterns. It leverages multiple scattering to retrieve phase information, even without atomic resolution, aiding complex structure determination.

Keywords:
CrystallographyElectron diffractionInversion of dynamical scattering

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Area of Science:

  • Crystallography
  • Materials Science
  • Electron Microscopy

Background:

  • Solving crystal structures requires phase information of structure factors, typically obtained when atoms are sharply resolved in diffraction data.
  • Traditional methods for X-ray and electron diffraction struggle with phase retrieval when atomic resolution is insufficient or data is limited.

Purpose of the Study:

  • To present a novel method for solving the crystallographic phase problem by utilizing multiple scattering in diffraction patterns.
  • To demonstrate the retrieval of electron structure factor amplitudes and phases from diffraction data acquired at varying incidence angles.

Main Methods:

  • Employing multiple scattering phenomena within diffraction patterns to encode and retrieve phase information.
  • Recording electron diffraction patterns at multiple, varying angles of incidence.
  • Developing algorithms to extract both amplitudes and phases of electron structure factors without prior assumptions on the scattering potential.

Main Results:

  • Successfully retrieved both amplitudes and phases of electron structure factors from experimental diffraction patterns.
  • Demonstrated the method's efficacy even when diffraction data lacks the resolution to clearly distinguish individual atoms.
  • Validated the approach for solving crystal structures without making assumptions about the scattering potential.

Conclusions:

  • The presented method offers a viable solution to the crystallographic phase problem, particularly for complex and beam-sensitive structures.
  • This technique expands the applicability of electron crystallography to samples like 2D protein crystals where atomic resolution is challenging.
  • The ability to retrieve phase information without high-resolution data opens new avenues for structural analysis in materials science and biochemistry.