The present work introduces a new method that is used to explore the connection between molecular order and molecular dynamics in liquid crystals. In liquid crystals, the building blocks show a liquid like disorder in at least one dimension of space with an otherwise crystalline like positional or orientational long range order. A new microscope is introduced that combines polarization measurements with the ability to track single fluorescent probe molecules in a thin sample of ordered liquid crystal. A new method for the analysis of orientation dependent diffusion is also introduced. It can be used to spatially resolve the anisotropic diffusion of the probe molecules. With this setup, molecular structure and molecular dynamics can be directly compared on a μm scale. Three different kinds of liquid crystal samples are analyzed with the new experimental method. First, twisted nematic liquid crystal cells are used to verify a proposed model for the connection between molecular structure and the dynamics in twisted nematic cells. Second, the liquid crystal structure and probe mobility are analyzed in homogeneous samples in a temperature regulated environment. The third experiment focuses on the combination of both of these scenarios. Different domains in a heterogeneous section of a sample are analyzed with different methodical approaches at various temperatures. The results display the close connection between molecular order and molecular dynamics in the samples. It is also found that the probe molecules introduce local distortions in the director field of the host material. Despite this realization, only the absolute value of the probes mobility seems to be effected. The anisotropy of the translational diffusion of the probe molecules resembles the results found in the literature on the self-diffusion of the liquid crystal molecules. The anisotropy also follows the same temperature dependence as the order of the host molecules. Using these results and the new method of analyzing single molecule tracking data, it is shown that the structure of a heterogeneous sample can be spatially resolved, only by means of single probe molecule tracking.

The present work introduces a new method that is used to explore the connection between molecular order and molecular dynamics in liquid crystals. In liquid crystals, the building blocks show a liquid like disorder in at least one dimension of space with an otherwise crystalline like positional or orientational long range order. A new microscope is introduced that combines polarization measurements with the ability to track single fluorescent probe molecules in a thin sample of ordered liquid crystal. A new method for the analysis of orientation dependent diffusion is also introduced. It can be used to spatially resolve the anisotropic diffusion of the probe molecules. With this setup, molecular structure and molecular dynamics can be directly compared on a μm scale. Three different kinds of liquid crystal samples are analyzed with the new experimental method. First, twisted nematic liquid crystal cells are used to verify a proposed model for the connection between molecular structure and the dynamics in twisted nematic cells. Second, the liquid crystal structure and probe mobility are analyzed in homogeneous samples in a temperature regulated environment. The third experiment focuses on the combination of both of these scenarios. Different domains in a heterogeneous section of a sample are analyzed with different methodical approaches at various temperatures. The results display the close connection between molecular order and molecular dynamics in the samples. It is also found that the probe molecules introduce local distortions in the director field of the host material. Despite this realization, only the absolute value of the probes mobility seems to be effected. The anisotropy of the translational diffusion of the probe molecules resembles the results found in the literature on the self-diffusion of the liquid crystal molecules. The anisotropy also follows the same temperature dependence as the order of the host molecules. Using these results and the new method of analyzing single molecule tracking data, it is shown that the structure of a heterogeneous sample can be spatially resolved, only by means of single probe molecule tracking.