A new approach to the study of imperfect colloidal polyhedral structures

The study of the nonlinear properties of gel oxyhydrate systems found the following features: vibrational dilatancy, vibrational (fluctuating) electrical conductivity, spontaneous electric current of gel self-organization on the background of polarization phenomena, colored gel systems, vibrational optical and sorption properties, and other, which can be found on our website (http//: oxyhydrate-gel.ru), and in our large works. These properties are explained by widespread batch processes in colloidal chemistry of oxyhydrate gel systems of rare earth elements, as well as oxides and hydroxides of some d-elements such as zirconium, niobium, titanium and others. Coherent chemistry, that is vibration-batch process chemistry, studies them. But there is a certain complexity: the classical inorganic chemistry and colloid chemistry does not have a fully worked out vibrational paradigm of phenomena and processes development. However, these phenomena now allow a new insight into the crystallography of colloidal systems, explore the change in the form of colloidal clusters in time. We do not know other approaches investigating the structure of colloidal systems in time. There is a topical issue of creating nano-microscopy of colloidal systems that has no analogue in the world. All this determines the high scientific significance of the research problem. A fundamentally new method for calculating crystallographic core structures of oxyhydrate gels transforming over time. Simple singularities of caustics and wave fronts form two infinite series and three exceptional features (symmetry group is a group of regular polyhedra in three-dimensional space, and exclusive features are groups of symmetries of the tetrahedron, octahedron and icosahedron). This follows from the Coxeter-Dynkin diagrams. The principles of programming " Coxe-ter " to implement the method of calculating oxyhydrate crystallographic structures are given. As an example structures of gels are calculated such as iron oxihydrate (III), yttrium oxihydrate, applied and non-applied. Prospective work has no analogues in the world, according to the analysis of literature and discussions at conferences and seminars of the Ural Branch of the Russian Academy of Sciences.

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