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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...
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...
Crystallographic Point Groups01:29

Crystallographic Point Groups

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 and...
Structures of Solids02:22

Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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...
Unit Cells01:18

Unit Cells

A crystal's internal structure is an orderly array of atoms, ions, or molecules, and the details of this array significantly influence the solid's properties. In a crystal, periodically repeating 'structural motifs' - which could be atoms, molecules, or groups thereof - create a 'space lattice.' This is essentially a three-dimensional, infinite array of points, each surrounded by its neighbors in an identical way, forming the basic structure of the crystal.A 'unit cell' is a theoretical...

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Microcrystallography of Protein Crystals and In Cellulo Diffraction
09:35

Microcrystallography of Protein Crystals and In Cellulo Diffraction

Published on: July 21, 2017

A method for hierarchical comparative analysis of crystal structures.

Vladislav A Blatov1

  • 1Samara State University, Ac. Pavlov Street 1, Samara 443011, Russia. blatov@ssu.samara.ru

Acta Crystallographica. Section A, Foundations of Crystallography
|August 24, 2006
PubMed
Summary

This study introduces a graph-based method to describe crystal structures, generating hierarchical representations for topological analysis. This approach aids in understanding complex inorganic compounds and molecular packing.

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Area of Science:

  • Crystallography
  • Materials Science
  • Computational Chemistry

Background:

  • Crystal structures are complex, requiring advanced descriptive methods.
  • Existing methods may not fully capture topological relationships.

Purpose of the Study:

  • To develop a geometrical-topological framework for describing crystal structures.
  • To generate a hierarchical sequence of structure representations for analysis.
  • To implement these methods in a computational package for broad applicability.

Main Methods:

  • Representing crystal structures as 3D graphs with colored nodes and weighted edges.
  • Utilizing Voronoi-Dirichlet polyhedra solid angles for edge weights.
  • Defining atom contraction and removal operations to generate structure representations.
  • Implementing the TOPOS program package for enumeration and analysis.

Main Results:

  • A systematic method for generating hierarchical representations of crystal structures.
  • Successful application of the method to analyze inorganic compounds and molecular packing.
  • Demonstration of the method's utility in topological comparative analysis.

Conclusions:

  • The geometrical-topological approach provides a powerful tool for crystal structure description.
  • The TOPOS program package enables comprehensive analysis of crystal structure representations.
  • This method offers advantages for understanding chemical and topological properties of materials.