Surface-groove-induced azimuthal anchoring of a nematic liquid crystal: Berreman's model reexamined

Junichi Fukuda, Makoto Yoneya, Hiroshi Yokoyama

Research output: Contribution to journalArticle

74 Citations (Scopus)

Abstract

To account for azimuthal surface anchoring of a nematic liquid crystal, Berreman proposed a simple model attributing the surface anchoring to the elastic distortion of the liquid crystal induced by the grooves of a surface. He showed that the surface anchoring energy is proportional to sin2, with being the angle between the director at infinity and the direction of the surface grooves. We argue that his assumption of negligibly small azimuthal distortion of the nematic is not valid. Proper treatment of the azimuthal distortion reveals that the Berreman's model should yield a surface anchoring energy proportional to sin4. This implies that surface grooves alone cannot contribute to the surface anchoring coefficient in the usual Rapini-Papoular sense.

Original languageEnglish
Article number187803
JournalPhysical Review Letters
Volume98
Issue number18
DOIs
Publication statusPublished - May 4 2007
Externally publishedYes

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grooves
liquid crystals
surface energy
infinity
coefficients

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Surface-groove-induced azimuthal anchoring of a nematic liquid crystal : Berreman's model reexamined. / Fukuda, Junichi; Yoneya, Makoto; Yokoyama, Hiroshi.

In: Physical Review Letters, Vol. 98, No. 18, 187803, 04.05.2007.

Research output: Contribution to journalArticle

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