Critical reexamination of Berreman's theory on surface anchoring

Jun Ichi Fukuda, Makoto Yoneya, Hiroshi Yokoyama

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3 Citations (Scopus)


We critically reexamine well-known Berreman's theory [Phys. Rev. Lett. 28, 1683 (1972)] on the anchoring of a nematic liquid crystal due to its elastic distortions induced by a sinusoidally grooved surface. We put emphasis on the effect of azimuthal distortions of the director n and the contribution of saddle-splay surface elasticity characterized by K24. We give a correct calculation of the anchoring energy and show that Berreman's theory gives a correct result only when K1=K2 and K24=0, where K1 and K2 are the splay and twist elastic constants, respectively. We also present our preliminary numerical attempts to evaluate the anchoring energy of a surface with square patterns and compare the anchoring energy calculated numerically with an analytical one obtained by a direct extension of our theoretical argument on one-dimensional parallel grooves.

Original languageEnglish
Pages (from-to)12-25
Number of pages14
JournalMolecular Crystals and Liquid Crystals
Publication statusPublished - Jan 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics


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