Lattice of disclinations: The structure of the blue phases of cholesteric liquid crystals

S. Meiboom, M. Sammon, W. F. Brinkman

Research output: Contribution to journalArticle

122 Scopus citations

Abstract

We argue that the basic mechanism stabilizing the blue phases is the appearance of double cholesteric twist. The free-energy cost of the disclination lattice that inevitably accompanies double twist becomes small near the clearing point. We use the director picture and the Oseen-Frank equations in a computer calculation of the free energy for three specific models, with O5, O2, and O8 symmetry. Disclinations are treated as having an isotropic core. Comparison of the results of the computation with a number of experimental quantities is given. In a final section, a mean-field theory of disclinations is presented. It is argued there that the biaxiality, which is a characteristic of Landau theories of the blue phase, can be considered as an "escape" of the core of the disclination, forced by the implicit requirement of analyticity.

Original languageEnglish (US)
Pages (from-to)438-454
Number of pages17
JournalPhysical Review A
Volume27
Issue number1
DOIs
StatePublished - Jan 1 1983
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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