News Academy of Engineering Sciences A.M. Prokhorov Annotation << Back Orbital system of structures of nanosize dispersity E.F. Kustov Necessity of developing of orbital system is defined by synthesis of clusters, supermolecules and other structures of nanosize dispersity for which does not have transmitting symmetry and it is impossible to apply crystal system. For complex molecules, polynuclear complexes, clusters besides the chemical formula it is necessary to confirm their structure with the equations of structure received on the basis of the analysis of chemical properties and properties of symmetry of molecular structures. Here we show that nanosize structures is described by the orbital system formed as a set of concentric, enclosed each other orbits of atoms, orbits of faces of a different order and orbits of edges. Orbits are grouped in shells having polyhedral forms. In vertexes, edges and faces of these polyhedral the atoms with various types of packings are located. It is proved that for nanostructures of groups of the higher and averages symmetries singonies are available by five coordination numbers (CN) which linear combination defines composition of polyhedral of any shells. The orbital system includes symmetry axes of 2,3,4,5, 6 orders, contains 39 point groups distributed on nine singonies. In work formulas for definition of structures, the sizes and angular lengths of orbits of atoms, faces and edges of all crystal and not crystal symmetry groups are resulted. Results of calculations of the composi6tions and sizes of orbits and shells nanoparticls, clusters, fullerenes and crystal lattices fragments which allow calculating the nuclear distances and chemical bond angles between atoms are resulted. Key words: clusters, nanoparticls, nanosize dispersity, point groups, orbit system. Contacts: E–mail: Kustovyf@mail.ru Pp. 92-125.