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Published: Kem. Ind. 51 (9) (2002) 375–384
Paper reference number: KUI-28/2001
Paper type: Conference paper

The Wave Equation Reveals Structure, Periodicity, and Symmetry

L. G. Kreidik and G. P. Shpenkov


Atoms represent by themselves the structures of one of the levels of the multilevel Universe. Therefore, one should not consider atoms separately from its general structure which is the principal feature of authors' works, and of this paper based on such an approach. One of the axioms of the general structure of the Universe6 states that the fields of matter-space-time and fields of probabilistic processes and states of nature, are described by the wave equation where . This equation describes both the spherical and cylindrical components of the function about the spherical-cylindrical field of matter-space-time of any level. It contains information about the kinematic spatial geometry of wave processes, in particular, occurring at atomic and molecular levels. Waves represent by themselves the dialectical binary system reflecting their discontinuous and continuous features. A discontinuous facet of the wave field-space of matter is represented through the nodal points of its field-space. The nodal points can be kinetic and potential. The potential nodes express the discrete geometry of the potential field-space of matter, the kinetic nodes - the discrete structure of the kinetic field-space of matter. Kinetic and potential nodes are mutually conjugated and they express the discrete geometry of kinetic-potential field-space of matter. In this paper we present new results obtained at the solution of the general wave equation in the spherical polar coordinates. As follows from these solutions, elementary quasispherical atoms of matter-space-time and possibility-reality represent by themselves the system of characteristic shells with nodal points, expressing the discrete geometry of these shells. The number of primary polar-azimuth nodes Z expresses the ordinal number of the concrete atomic structure. The quasiperiodicity of atomic structures naturally follows from the wave equation and gets the more convincing logical and physical justification. The theoretical variant of the periodic system of the chemical elements, presented in this paper in the widespread traditional form, allows more profound understanding of specific features of every individual atom (element) and its quasisimilarity to some other ones. The nodal-shell model obtained can account for the structure of different isotopes. By virtue of this, all unstable isotope (that could be obtained in capture reactions) of any element of the periodic table can be predicted theoretically. The obtained solutions essentially add to and change some conventional concepts about the atomic world.

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periodic table of the elements, periodic law, morphology of crystals, wave equation solutions, atomic structure