A theoretical investigation of molecular ordering of smectic C liquuid crystals (E) and its binary mixtures (A+B] has been carried out by the method based on the Rayleigth-Schrodinger perturbation theory. The mutual arrangement of two molecules corresponding to the minimum of the total interaction energy between them Upair has been established. The curves of the dependence of Upair and its various contributions on displacement of molecules from each other along the molecular long X-axis and angle 0 between molecules' long axes has been also computed in the minimum point vicinity. The obtained results make it possible to determine the peculiarities of the structural organization of molecules, as well as to construct a model of the structure of A and B compounds in different phases taking into account the most probable packing of molecules.
It is known that Hall effect takes place in different media. The Hall effect is well studied in semiconductors. It is known quantum, quantum spin, the anomalous Hall effect, as well as the Hall effect in ionized gases. However, up to date, as evidenced from the review of scientific literature, the study of this effect in lyotropic liquid crystals (LLC) was given insufficient attention. In this paper the peculiarities of the Hall effect in the LLC were studied. It was shown that in liquid crystal systems Hall potential is approximately 100 times greater than in semiconductors. Also it was shown that after removal of the electric and magnetic fields, the Hall potential in LLC remained intact, decreasing over time, and periodically reversing its sign.
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