Electrical properties of liquid crystal nano-colloids analysed from perspectives of the ionic purity of nano-dopants

The concentration of mobile ions in liquid crystals doped with nano-objects is analysed in the framework of the Langmuir isotherms assuming an ionic contamination of nano-dopants. The level of the ionic purity of nano-dopants is described by means of the dimensionless contamination factor. The applicability of the proposed approach is verified by fitting the broad variety of the existing experimental data. A good agreement between theoretical predictions and experimental data indicates the feasibility of the idea to consider nano-dopants partially contaminated. In addition, it provides the way to deduce a set of important parameters (the surface density of the adsorbing sites, the contamination factor and the ratio of the adsorption constant to the desorption constant) directly from electrical measurements.