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A Model for Nematic Phases in a Reversibly Assembling System of Hard Rods and Plates

Published online by Cambridge University Press:  26 February 2011

Mark P. Taylort
Affiliation:
Departments of Chemistry, Brandeis University, Waltham, MA 02254-9110 Physics, Brandeis University, Waltham, MA 02254-9110
Alan E. Berger
Affiliation:
Applied Mathematics Branch, Naval Surface Warfare Center, Silver Spring, MD 20903-5000
Judith Herzfeld
Affiliation:
Departments of Chemistry, Brandeis University, Waltham, MA 02254-9110
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Abstract

: Liquid crystalline behavior is exhibited by many amphiphilic solutions as a result of the reversible formation of anisotropic aggregates. We model such a system by combining a phenomenological description of aggregation with a lattice statistics calculation of the configurational entropy of a polydisperse collection of hard rods and plates. In this model, nematic liquid crystalline phases of axial, planar and biaxial symmetry are possible. We present a calculated phase diagram, and corresponding particle size distributions, for the case when rod and plate growth are equally favored. Regions of stability are found for axial and planar phases, but not for biaxial phases.

Type
Research Article
Copyright
Copyright © Materials Research Society 1989

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References

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