Fig. 1.

Single-crystalline BPI and BPII on chemically patterned surfaces: (A and B) Line defect lattice structures and molecular orientations in a unit cell for (A) BPI and (B) BPII. The low–scalar-order parameter isosurfaces (blue) along different lattice planes are shown for the BPI: (2 0 0), (1 1 0), and (2 1 1); and the BPII: (1 0 0), (1 1 0), and (1 1 1). The color maps for molecular orientation are represented according to the projection of that orientation on the surface: blue is for molecules parallel to the surface, while red is for molecules perpendicular to the surface. (C and D) Confined MLC2142 mixed with the S-811 chiral dopant between an OTS-modified glass and a chemically patterned substrate, in a BP state; (C) a rectangular pattern is used to form a stable single-crystalline BPI at 40.4 °C; and (D) a striped pattern is used to form a stable single-crystalline BPII at 42.2 °C. The corresponding Kossel diagrams are shown to indicate the lattice symmetry. An experimental control is made by patterning a 440 × 440-μm area, keeping a border with a homeotropic anchoring alignment. The entire hybrid-cell thickness is 3.5 μm.