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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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The de Broglie Wavelength02:32

The de Broglie Wavelength

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing...
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Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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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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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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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...
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  1. Home
  3. Research Domains
  5. Mathematical Sciences
  7. Mathematical Physics
  9. Mathematical Aspects Of Quantum And Conformal Field Theory, Quantum Gravity And String Theory
  11. Pushing Crystallography's Frontiers Through Quantum Mechanics.
  1. Home
  3. Research Domains
  5. Mathematical Sciences
  7. Mathematical Physics
  9. Mathematical Aspects Of Quantum And Conformal Field Theory, Quantum Gravity And String Theory
  11. Pushing Crystallography's Frontiers Through Quantum Mechanics.

Related Experiment Video

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
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Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

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Pushing crystallography's frontiers through quantum mechanics.

Chérif F Matta1

  • 1Department of Chemistry and Physics, Mount Saint Vincent University, Halifax, Nova Scotia, Canada B3M 2J6.

Acta Crystallographica Section B, Structural Science, Crystal Engineering and Materials
|March 27, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

Researchers integrated real-space and phase-space representations to experimentally probe electron behavior in crystals using quantum crystallography. This novel approach reconstructs quantum properties, bridging quantum chemistry and crystallography.

Keywords:
combined elastic–inelastic scatteringdensity matricesquantum crystallography

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Fully Autonomous Characterization and Data Collection from Crystals of Biological Macromolecules

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Sample Preparation and Transfer Protocol for In-Vacuum Long-Wavelength Crystallography on Beamline I23 at Diamond Light Source
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Sample Preparation and Transfer Protocol for In-Vacuum Long-Wavelength Crystallography on Beamline I23 at Diamond Light Source

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Related Experiment Videos

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
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Fully Autonomous Characterization and Data Collection from Crystals of Biological Macromolecules
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Fully Autonomous Characterization and Data Collection from Crystals of Biological Macromolecules

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Sample Preparation and Transfer Protocol for In-Vacuum Long-Wavelength Crystallography on Beamline I23 at Diamond Light Source
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Sample Preparation and Transfer Protocol for In-Vacuum Long-Wavelength Crystallography on Beamline I23 at Diamond Light Source

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Area of Science:

  • Crystallography
  • Quantum Chemistry
  • Materials Science

Background:

  • Quantum crystallography (QCr) offers advanced methods for studying crystalline materials.
  • Traditional methods often focus on atomic positions, with limited direct probing of electron behavior.

Purpose of the Study:

  • To extend quantum crystallography by integrating real-space and phase-space representations.
  • To experimentally probe and reconstruct the quantum properties of electron behavior in crystals.

Main Methods:

  • Integration of the one-particle reduced density matrix (1-RDM) in real space.
  • Utilization of the Wigner function in phase space.
  • Combination of elastic and inelastic X-ray scattering techniques.

Main Results:

  • Successful reconstruction of quantum properties of a urea crystal.
  • Demonstration of experimental probing of electron behavior.
  • Bridging of quantum chemistry and crystallographic data.

Conclusions:

  • The integrated approach provides a novel pathway to experimentally investigate electron behavior in crystals.
  • This method offers a powerful tool for understanding the quantum nature of matter within crystalline structures.
  • The study represents a significant advancement in the field of quantum crystallography.