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Soap froths and crystal structures

Ziherl1, Kamien

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA.

Physical Review Letters
|October 13, 2000
PubMed
Summary

We propose a physical mechanism explaining crystal symmetries in micellar materials. Packing entropy of hard cores is frustrated by brushlike coronas, leading to minimal foam structures like Kelvin and Weaire-Phelan structures.

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Area of Science:

  • Materials Science
  • Soft Matter Physics
  • Crystallography

Background:

  • Macromolecular and supramolecular materials exhibit complex crystal symmetries.
  • Understanding the driving forces behind these symmetries is crucial for materials design.

Purpose of the Study:

  • To propose a physical mechanism explaining the observed crystal symmetries in micellar materials.
  • To link micellar packing to minimal foam structures.

Main Methods:

  • Modeling the entropic interaction of brushlike coronas as a surface effect between Voronoi cells.
  • Analyzing the frustration between hard micellar core packing and corona interactions.

Main Results:

  • The packing entropy of hard micellar cores is frustrated by the entropic interactions of their brushlike coronas.
  • The observed crystal structures correspond to the Kelvin and Weaire-Phelan minimal foams.
  • These structures are shown to be stable for realistic areal entropy densities.

Conclusions:

  • The interplay between core packing and corona entropy dictates micellar crystal structures.
  • Minimal foam structures provide a physical basis for observed symmetries in soft matter.
  • This mechanism offers insights into self-assembly in complex fluids.

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