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Related Experiment Videos

Interstitial fractionalization and spherical crystallography.

Mark J Bowick1, David R Nelson, Homin Shin

  • 1Physics Department, Syracuse University, Syracuse, NY 13244-1130, USA. bowick@physics.syr.edu

Physical Chemistry Chemical Physics : PCCP
|December 7, 2007
PubMed
Summary
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Ground states of particles on spheres reveal defects like disclinations and dislocations. Vacancies and interstitials fragment into dislocation pieces, creating grain-boundary scars and influencing low-energy states.

Area of Science:

  • Theoretical Physics
  • Materials Science
  • Applied Mathematics

Background:

  • Ground states of identical particles on spheres are crucial for emulsion stabilization.
  • Defects such as disclinations and dislocations are known intrinsic components of these ground states.

Purpose of the Study:

  • To investigate the behavior of vacancies and interstitials in spherical crystals.
  • To analyze the fragmentation of interstitials and vacancies due to disclination strain fields.
  • To explore low-energy states near "magic numbers" in spherical packings.

Main Methods:

  • Utilizing a computational program to simulate interstitial fractionalization with various power-law pair potentials.
  • Analyzing the dependence of final state energies on initial conditions.

Related Experiment Videos

  • Comparing interstitial energy position dependence with continuum elastic theory predictions on a sphere.
  • Main Results:

    • Isolated disclinations fragment interstitials and vacancies into dislocation fragments, forming grain-boundary scars.
    • Fragmentation often results in three charge-neutral dislocations, but dislocation pairs can also form.
    • Interstitials are repelled, and vacancies are attracted by 5-fold disclinations before fragmentation.

    Conclusions:

    • The study details the fractionalization of interstitials and vacancies in spherical crystals, offering insights into defect behavior.
    • Findings contribute to understanding the structure and stability of spherical packings and their relevance to materials science.
    • The research validates continuum elastic theory predictions and explores low-energy configurations in spherical systems.