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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...
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...
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Predicting Molecular Geometry

VSEPR Theory for Determination of Electron Pair Geometries
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...
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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Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
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Predicting structure of molecular crystals from first principles.

Rafał Podeszwa1, Betsy M Rice, Krzysztof Szalewicz

  • 1Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland.

Physical Review Letters
|October 15, 2008
PubMed
Summary

Symmetry-adapted perturbation theory based on the density-functional description of monomers (SAPT(DFT)) accurately predicts molecular crystal structures. This method successfully determined the lowest-energy polymorph for cyclotrimethylene trinitramine and calculated the benzene crystal lattice energy.

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Area of Science:

  • Computational chemistry
  • Materials science
  • Crystallography

Background:

  • Predicting molecular crystal structures from first principles is crucial for understanding material properties.
  • Accurate and efficient computational methods are needed for crystal structure prediction.

Purpose of the Study:

  • To evaluate the accuracy and efficiency of symmetry-adapted perturbation theory based on the density-functional description of monomers (SAPT(DFT)) for molecular crystal structure prediction.
  • To demonstrate the utility of SAPT(DFT) in predicting crystal polymorphs and lattice energies.

Main Methods:

  • Symmetry-adapted perturbation theory based on the density-functional description of monomers (SAPT(DFT)) was employed.
  • The method was applied to predict the crystal structure and polymorphs of cyclotrimethylene trinitramine.
  • Lattice energy calculations were performed for the benzene crystal.

Main Results:

  • The SAPT(DFT) potential accurately generated and ordered polymorphs of cyclotrimethylene trinitramine, with the lowest-energy structure matching experimental data.
  • SAPT(DFT) calculations reproduced the lattice energy of the benzene crystal with high accuracy (within a few percent).

Conclusions:

  • SAPT(DFT) is a sufficiently accurate and numerically efficient method for first-principles prediction of molecular crystal structures.
  • This method shows significant promise for applications in materials science and drug discovery.