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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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Updated: Jul 19, 2025

Biochemical and Structural Characterization of the Carbohydrate Transport Substrate-binding-protein SP0092
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Correcting systematic errors in diffraction data with modern scaling algorithms.

Luis A Aldama1, Kevin M Dalton1, Doeke R Hekstra1

  • 1Department of Molecular and Cellular Biology, Harvard University, Cambridge, Massachusetts, USA.

Acta Crystallographica. Section D, Structural Biology
|August 16, 2023
PubMed
Summary
This summary is machine-generated.

New variational inference methods offer a flexible alternative to traditional least-squares optimization for scaling X-ray diffraction data, improving accuracy in complex structural analyses.

Keywords:
X-ray crystallographydeep learningscalingvariational inference

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Area of Science:

  • Materials Science
  • Crystallography
  • Data Analysis

Background:

  • X-ray diffraction is crucial for determining material atomic structures.
  • Data processing algorithms, particularly scaling, are essential for accurate electron density determination.
  • Traditional scaling methods use least-squares optimization to correct systematic errors in diffraction intensities.

Purpose of the Study:

  • To review the history and evolution of X-ray diffraction scaling algorithms.
  • To introduce and contrast variational inference as a novel approach to data scaling.
  • To identify use cases and provide guidance for the variational inference algorithm, Careless.

Main Methods:

  • Review of classical least-squares scaling algorithms.
  • Introduction to variational inference for simultaneous data merging and error correction.
  • Application and evaluation of the Careless algorithm.

Main Results:

  • Variational inference offers a flexible and advantageous alternative to traditional scaling methods.
  • The Careless algorithm demonstrates the practical application of variational inference in X-ray diffraction.
  • Specific use cases where variational inference excels have been identified.

Conclusions:

  • Variational inference presents a powerful new paradigm for X-ray diffraction data scaling.
  • The Careless algorithm provides a valuable tool for researchers utilizing advanced X-ray sources and experiments.
  • Future developments in variational scaling methods are anticipated to further enhance structural determination.