Influence of the order parameter on the anchoring energy of liquid crystals

Paper No 9.2: Experimental and Theoretical Modeling of Liquid Crystal Orientation on Aligning Film Surfaces

“…We have calculated energy values for the LC adhesion, polar and azimuthal anchoring (Figures and ) . The values obtained theoretically correspond well to the experimental values or the values obtained by other authors in independent simulations .…”

“…Dependence of polar anchoring energy Δ E θ /s expressed in J m −2 on order parameter S. N is a number of carbon atoms in a model mesogen molecule; 1 – N = 20; 2 – N = 30; 3 – N =40. s is the molecule's surface area that is in contact with the aligning substrate (see ). Experimental data of are shown with dots.…”

“…U(h 0 (1) , h 0 (2) ) dependences for the case of Hybrid B cells (case of h 0 (1) 6 ¼ h 0 (2) in Fig., right) at fixed h 0 (2) value. s is the molecule's surface area that is in contact with the aligning substrate (see [17,19]). Experimental data of [23] are shown with dots.…”

“…where ff 5 25.31 3 10 6 J mol 21 ÁÅ 6 , ffl 5 1.15 3 10 10 J mol 21 ÁÅ 12 , ð ijl is interaction energy between the ith atom of the mesogen molecule and jl atoms of the substrate [17]. We have calculated energy values for the LC adhesion, polar and azimuthal anchoring ( Figures 6 and 7) [19]. The values obtained theoretically correspond well to the experimental values or the values obtained by other authors in independent simulations [1][2][3][20][21][22].…”

Nanomesh Aluminum Films for LC Alignment. Theoretical and Experimental Modeling

“…In [7] optical properties and surface resistance have been simulated for nanomesh alumina films by using FDTD Solutions LUMERICAl and COMSOL Multiphysics software. Theoretical modeling of the LC alignment on flat surfaces of carbon, polyethyleme and polyorganosiloxane has been developed in [12][13][14]. Type of the NLC alignment on the nanomesh alumina films is presented in Table 1 However the physical mechanism of this effect is not clear.…”