A nematic-phase liquid crystal material is sandwiched between two opposing parallel plates at least one of which is transparent. The two parallel plates are respectively coated with transparent electrode films having parallel micro-groove structures at the respective inner surfaces in contact with the nematic-phase liquid crystal material established by unidirectional rubbing. In particular, an additional or second micro-groove structure is further provided for said fist-named micro-groove structure which has an asymmetric or anisotropic profile along the longitudinal axes of the respective micro-grooves within the first micro-groove structure, preferably of a substantially saw-tooth profile. This combination results in a surface anisotropy in solid geometry rather than in plane geometry in the interfacial surfaces. The surface anisotropies in the two interfacial surfaces should be established in a complemental relationship in a manner to attain uniform aligment of liquid crystal molecules and hence to reduce free energy due to the liquid crystal molecules, therefore, non-uniformity of display is alleviated.