Equivalent anchoring energy formula of a NLC on a grating surface and VCT effect

Abstract

The voltage‐controlled twist (VCT) effect shows that a grating surface, with its particular anchoring properties, has the potential to become a new surface anchoring for liquid crystal devices. In order to describe these properties an equivalent anchoring energy is introduced. The alignment of a nematic liquid crystal (NLC) on such a grating originates from two mechanisms, so each produces a term in the equivalent anchoring energy. One is the interaction potential between NLC molecules and the molecules on the substrate surface, from which we derive the expression of the corresponding term. The other is the increased elastic strain energy, for which we adopt the result of Berreman. The equivalent anchoring energy obtained is a function of pitch λ and amplitude δ of the grating surface. Both the corresponding strength parameter and the easy direction are functions of λ and δ. The hybrid aligned nematic cell proposed by. Bryan‐Brown et al. is studied by the use of our formula, and the distribution of the director, the saturation state and the saturation voltage are calculated in detail. The results are consistent with experimental data, especially the values of λ and δ. The VCT effect can therefore be explained.

Acknowledgements

This project is supported by Key Subject Construction Project of Hebei Province University, PR China, the Natural Science Foundation of Hebei Province (Grant No. A2006000675), the Doctoral Foundation of Hebei Province (Grant No. 05547001D‐3), and the Key Project Foundation of North China Electric Power University (Grant No. 200513002).