Structure of Nematicp-Azoxyanisole in Electric and Magnetic Fields

Igor Chistyakov and Development of X-Ray Studies of Liquid Crystals

“…In this situation the simplest way to get structural information on LCs is to solve the inverse problem -to reconstruct the density correlation function from scattered intensity measurements. Chistyakov and his coauthors were the first who realized the possibility of applying this technique for reconstruction of the local structure of LCs [9][10][11][12][13][14][15].…”

“…Chistyakov, Vainshtein and their coworkers [9][10][11][12][13][14][15] elaborated the methods for solving the inverse problem of the structural analysis -they reconstructed the functions of intermolecular distances in LCs from X-ray scattering data (see also papers by Delord et al [24,25], de Vries [26] and Leadbetter et al [27,28]). The function of intermolecular distances, usually called the Patterson function, determines the most probable distances between the molecules and it is an analogue of the introduced above pair correlation function g(r).…”

“…To reconstruct the local structure of LCs Chistyakov, Vainshtein and their coworkers have used different types of Patterson functions. In particular, oriented nematic LC was described with the aid of so called cylindrically symmetric function of intermolecular distances [9][10][11][12][13][14][15]:…”

Some comments on cylindrical distribution functions, with special reference to X-ray studies of liquid crystals

“…During recent years a considerable number of papers have appeared in which cylindrical distribution functions (cdf's) are used for the analysis of X-ray diffraction data from liquid crystals (Chistyakov, 1964;Chistyakov & Vainshtein, 1963;Delord, 1969;Delord & Falgueirettes, 1968a, b;Delord & Malet, 1970;Gusakova & Chistyakov, 1968;Kosterin & Chistyakov, 1968Vainshtein, Chistyakov, Kosterin & Chaikovskii, 1967. All these papers refer to Vainshtein (1966)t for more details on the cdf's, but, unfortunately, Vainshtein does not give a detailed derivation of the cdf's.…”