“… where V is the applied electric field, while d, R, K, ω, ε 0 , Δ ε, l , and γ represent the film gap, droplet radius of the LC, elastic constant, aspect ratio, vacuum dielectric constant, dielectric anisotropy, shape anisotropy, and rotational viscosity constant, respectively. The addition of NPs changed the refractive index of the dielectric, the dielectric constant, and the anchoring properties of the liquid crystal, and thus, effectively improved the electro-optical properties of LC/polymer materials 130 , 137 . For example, SO 2 NPs changed the anchoring energy at the LC-polymer interface, and inorganic NPs such as ZnO and MgO changed the dielectric constant of the dielectric, both of which effectively reduced the driving voltage.…”