Freedericksz transition in cholesteric liquid crystals without external fields
Zel'dovich B. Ya., Tabiryan N. V.
The structure of a cholesteric liquid crystal in a plane cell is analyzed for the case in which the surface orientation of the director is rigidly fixed along the normal to the faces. The homogeneous and homeotropic structure is unstable at qL >7гК33/К 22, where L is the cell thickness, and h =2π/ς is the pitch of the cholesteric helix. Measurements of the transition characteristics can yield the pitch h, and this method would be particularly important at h £ 1 μτη.