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Related Concept Videos

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.
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Imperfections in Crystal Structure: Stoichiometric Point Defects

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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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...
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Diffusion

Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
Diffusion01:21

Diffusion

Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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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...

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Related Experiment Video

Updated: May 29, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

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

Published on: August 22, 2017

Diffusion in Coulomb crystals.

J Hughto1, A S Schneider, C J Horowitz

  • 1Department of Physics and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405, USA. jhughto@indiana.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 27, 2011
PubMed
Summary
This summary is machine-generated.

Diffusion in Coulomb crystals, crucial for neutron star crusts, was simulated. Softer interactions yield higher diffusion constants, suggesting crystalline structures in stars.

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Area of Science:

  • Astrophysics
  • Condensed Matter Physics
  • Computational Physics

Background:

  • Diffusion in exotic stellar environments like neutron star crusts is key to understanding their structure.
  • Coulomb crystals are theoretical models for matter under extreme densities.

Purpose of the Study:

  • To determine diffusion constants (D) in Coulomb crystals using molecular dynamics simulations.
  • To compare diffusion in soft-core (1/r) versus hard-core (Lennard-Jones) interactions.
  • To investigate diffusion mechanisms in both perfect and imperfect crystalline, and amorphous systems.

Main Methods:

  • Molecular dynamics simulations were employed to model ion diffusion.
  • Simulations included body-centered-cubic lattices and rapidly quenched amorphous systems.
  • Coulomb parameters (Γ) were varied to study phase transitions and diffusion behavior.

Main Results:

  • Diffusion constants (D) for soft-core 1/r interactions were found to be potentially larger than for hard-core potentials.
  • Diffusion in perfect lattices occurs via ring-like ion exchanges without vacancies.
  • Imperfect crystals exhibit diffusion dominated by defect motion.
  • Amorphous systems rapidly quenched showed significant diffusion, leading to crystallization during simulations.

Conclusions:

  • Coulomb solids in neutron star crusts and white dwarf stars are likely crystalline, not amorphous.
  • The nature of inter-ionic interactions significantly impacts diffusion rates in these extreme environments.