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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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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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Related Experiment Video

Updated: Jul 3, 2025

Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
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Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis

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Structural analysis of nanocrystals by pair distribution function combining electron diffraction with crystal

Linshuo Guo1, Shitao Wu1, Zhengyang Zhou2

  • 1School of Physical Science and Technology, and Shanghai Key Laboratory of High-resolution Electron Microscopy, ShanghaiTech University, Shanghai 201210, People's Republic of China.

Iucrj
|February 16, 2024
PubMed
Summary

A new tilt-electron diffraction pair distribution function (ePDF) method improves nanoparticle structural analysis. This tilt-ePDF technique enhances data quality, enabling more accurate atomic structure determination in nanomaterials.

Keywords:
PDF refinementcrystal tiltingelectron pair distribution functionslocal structuresnanoparticles

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

  • Materials Science
  • Nanotechnology
  • Crystallography

Background:

  • Pair distribution function (PDF) analysis is crucial for understanding nanomaterial structure, including crystallinity and local atomic disorder.
  • Conventional electron diffraction PDF (ePDF) methods struggle with acquiring continuous diffraction rings for larger nanoparticles, limiting data reliability.
  • High-quality scattering signals are essential for accurate structural analysis of nanomaterials.

Purpose of the Study:

  • To introduce and validate a novel tilt-electron diffraction pair distribution function (tilt-ePDF) method.
  • To enhance the data quality and compatibility of ePDF for nanomaterial structural characterization.
  • To improve the accuracy of structural parameter refinement in nanoparticles.

Main Methods:

  • Developed the tilt-ePDF technique by combining electron diffraction with specimen tilting.
  • Collected tilt-series electron diffraction patterns from gold nanoparticles of varying sizes and a polycrystalline aluminum film.
  • Performed ePDF analysis on the acquired tilt-series data.

Main Results:

  • The tilt-ePDF method successfully enhanced the continuity of diffraction rings.
  • Improved signal-to-noise ratio was observed in the high scattering angle range using tilt-ePDF.
  • Tilt-ePDF data yielded more accurate structure parameters and lower residual factors compared to conventional ePDF.

Conclusions:

  • The tilt-ePDF method offers a significant advancement for ePDF analysis of nanoparticles.
  • This technique provides a reliable approach to obtain precise local structure information from nanomaterials.
  • Tilt-ePDF enhances the capabilities of electron diffraction for detailed structural characterization.