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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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Crystal Density

The crystal lattice structure of a material allows us to determine how many molecules exist in its unit cell. With this information, alongside the unit-cell parameters - three distance parameters (a, b, c) and three angular parameters (α, β, γ).Density (ρ) = (Z × M) / (a × b × c × NA)where:Z is the number of formula units per unit cellM is the molar mass of the substancea, b, and c are the edge lengths of the unit cellNA is Avogadro’s numberFor a simple cubic lattice, atoms are located only at...
Ionic Crystal Structures02:42

Ionic Crystal Structures

Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...
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Crystal Field Theory - Tetrahedral and Square Planar Complexes

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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Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...

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Synthesis of Zeolites Using the ADOR (Assembly-Disassembly-Organization-Reassembly) Route
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Published on: April 3, 2016

Solving the crystal structures of zeolites using electron diffraction data. II. Density-building functions.

Christopher J Gilmore1, Wei Dong, Douglas L Dorset

  • 1WestCHEM, Department of Chemistry, University of Glasgow, Glasgow, Scotland. chris@chem.gla.ac.uk

Acta Crystallographica. Section A, Foundations of Crystallography
|February 21, 2008
PubMed
Summary

This study introduces a novel density-building function to solve zeolite crystal structures from electron diffraction data. The method successfully determined seven out of eight complex zeolite structures, demonstrating its potential in materials science.

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Area of Science:

  • Crystallography
  • Materials Science
  • Electron Diffraction

Background:

  • Solving crystal structures is crucial for understanding material properties.
  • Electron diffraction offers a powerful method for analyzing crystalline materials.
  • Accurate phase determination remains a significant challenge in structure solution.

Purpose of the Study:

  • To develop and validate a new density-building function for solving zeolite crystal structures.
  • To assess the efficacy of the method using both 2D and 3D electron diffraction data.
  • To improve the accuracy and efficiency of structure determination in zeolites.

Main Methods:

  • Utilized a density-building function with maximum-entropy methods.
  • Employed normalized unitary structure factors and permuted phase sets.
  • Incorporated log-likelihood gain and potential histogram information for refinement.
  • Applied the method to two- and three-dimensional electron diffraction datasets.

Main Results:

  • Successfully solved seven out of eight zeolite crystal structures with varying complexity and data quality.
  • The density-building function demonstrated routine success in structure determination.
  • The method showed robustness across different datasets.

Conclusions:

  • The developed density-building function is a viable tool for solving zeolite crystal structures from electron diffraction data.
  • The method shows promise for routine application in materials science and crystallography.
  • Further refinement may be needed for challenging structures where the method failed.