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Phys. Rev. Lett. 85, 3528–3531 (2000)

Soap Froths and Crystal Structures

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P. Ziherl* and Randall D. Kamien
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396

Received 17 July 2000; published in the issue dated 16 October 2000

We propose a physical mechanism to explain the crystal symmetries found in macromolecular and supramolecular micellar materials. We argue that the packing entropy of the hard micellar cores is frustrated by the entropic interaction of their brushlike coronas. The latter interaction is treated as a surface effect between neighboring Voronoi cells. The observed crystal structures correspond to the Kelvin and Weaire-Phelan minimal foams. We show that these structures are stable for reasonable areal entropy densities.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.3528
DOI:
10.1103/PhysRevLett.85.3528
PACS:
83.70.Hq, 61.50.Ah, 82.70.-y

*On leave from J. Stefan Institute, Slovenia.