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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...

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Characterization of Ultra-fine Grained and Nanocrystalline Materials Using Transmission Kikuchi Diffraction
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Fractal substructure of a nanopowder.

Thomas Schwager1, Dietrich E Wolf, Thorsten Pöschel

  • 1Charité, Augustenburger Platz 1, 13353 Berlin, Germany.

Physical Review Letters
|June 4, 2008
PubMed
Summary

Repeatedly dispersing and settling nanopowder forms fractal structures. Simulations show these fractal agglomerates exhibit consistent packing density and fractal dimension, with relaxation time scaling with fragment size.

Area of Science:

  • Materials Science
  • Physics
  • Nanotechnology

Background:

  • Nanopowder structural evolution impacts material properties.
  • Fractal substructures can emerge from dynamic processes like dispersion and settling.
  • Understanding agglomerate formation is key to controlling material characteristics.

Purpose of the Study:

  • To investigate the structural evolution of nanopowders under repeated dispersion and settling.
  • To characterize the resulting fractal substructures and their properties.
  • To determine the influence of fragmentation scale on the final agglomerate structure and dynamics.

Main Methods:

  • Numerical simulations of a two-dimensional model agglomerate.
  • Utilizing adhesive rigid particles.

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  • Implementing a fragmentation and settling procedure at a characteristic scale l.
  • Main Results:

    • Converged to a loosely packed structure.
    • Final packing density was independent of initialization.
    • Short-range correlation function was independent of fragment size.
    • Structure exhibited fractal behavior up to scale l with a fractal dimension near 1.7.
    • Relaxation time increased linearly with fragmentation scale l.

    Conclusions:

    • Repeated dispersion and settling of nanopowders leads to predictable fractal substructures.
    • The fractal dimension and packing density are robust properties of the resulting agglomerates.
    • Fragmentation scale l is a critical parameter influencing the relaxation dynamics of these fractal structures.