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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...
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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...
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...
Protein Folding01:22

Protein Folding

Overview
Crystal Growth: Principles of Crystallization01:25

Crystal Growth: Principles of Crystallization

Crystallization is a phase transformation process in which crystals are precipitated from a supersaturated solution or formed from other sources. During crystallization, atoms or molecules arrange themselves into a well-defined, rigid crystal lattice to minimize energy.
Initiating crystallization involves manipulating the concentration of the solute and the temperature of the solution. Since crystal growth occurs when the ratio of concentration and solubility of the solute in the solvent – the...
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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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Related Experiment Video

Updated: Jun 4, 2026

X-Ray Crystallography to Study the Oligomeric State Transition of the Thermotoga maritima M42 Aminopeptidase TmPep1050
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X-Ray Crystallography to Study the Oligomeric State Transition of the Thermotoga maritima M42 Aminopeptidase TmPep1050

Published on: May 13, 2020

How evolutionary crystal structure prediction works--and why.

Artem R Oganov1, Andriy O Lyakhov, Mario Valle

  • 1Department of Geosciences, Stony Brook University, Stony Brook, New York 11794-2100, USA.

Accounts of Chemical Research
|March 3, 2011
PubMed
Summary
This summary is machine-generated.

Predicting crystal structures accelerates materials discovery. A hybrid evolutionary algorithm, USPEX, efficiently searches for stable atomic arrangements, overcoming limitations of random methods for complex materials.

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Last Updated: Jun 4, 2026

X-Ray Crystallography to Study the Oligomeric State Transition of the Thermotoga maritima M42 Aminopeptidase TmPep1050
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Combining Wet and Dry Lab Techniques to Guide the Crystallization of Large Coiled-coil Containing Proteins
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Combining Wet and Dry Lab Techniques to Guide the Crystallization of Large Coiled-coil Containing Proteins

Published on: January 6, 2017

Area of Science:

  • Materials Science
  • Computational Chemistry
  • Crystallography

Background:

  • Predicting material properties relies on knowing their crystal structure.
  • Crystal structure prediction (CSP) is crucial for accelerating materials discovery and studying matter under extreme conditions.
  • Both efficient search of energy landscapes and accurate energy calculations are critical for CSP.

Purpose of the Study:

  • To review Crystal Structure Prediction (CSP) methods, focusing on the hybrid evolutionary algorithm USPEX (Universal Structure Predictor: Evolutionary Xtallography).
  • To explain the effectiveness of evolutionary techniques for CSP by analyzing energy landscapes.
  • To demonstrate the power of evolutionary CSP through diverse applications.

Main Methods:

  • Utilizes a hybrid evolutionary algorithm, USPEX, for efficient exploration of multidimensional energy landscapes.
  • Analyzes the intrinsic dimensionality and overall shape of chemical energy landscapes.
  • Applies various search strategies including simulated annealing, metadynamics, and data mining.

Main Results:

  • USPEX demonstrates significantly greater computational efficiency compared to random search methods for CSP.
  • Evolutionary CSP has led to the discovery of novel materials, including a transparent phase of sodium, ionic boron, superconducting calcium, superhard carbon, and polymeric nitrogen.
  • The method successfully predicted complex hydride superconductors like LiH(n) and CaLi(2).

Conclusions:

  • Evolutionary algorithms like USPEX provide a powerful and efficient approach to solving the crystal structure prediction problem.
  • These methods enable the discovery of new materials and phenomena, particularly under high-pressure conditions.
  • Extensions of USPEX are being developed for molecular crystals, variable composition systems, and targeted property optimization.