The topological analysis of the Electron Localization Function in conjunction with the Catastrophe Theory is proposed to study a nature of the chemical bonds in clusters of transition metal atoms and breaking/forming of inter-atomic bonds in a number of chemical processes: the perycyclic reactions: the aliphatic and aromatic Claisen rearrangements, the pseudopericyclic reactions: electrocyclization of heptatetraene and its heterosubstituted analogues and rearrangement of the quadricyclane radical cation. In the case of reactions where the chemical bonds contain transition-metal atoms two processes are proposed: a dimerization of the MoP bond and oxygen transfer from the diperoxo complex of molybdenum to ethylene. Studies on a nature of the chemical bonds will be carried out for the FenO, FenN and FenC clusters and iron monoxide clusters FenO and FenO- (n= 2-6). In the case of an adsorption of the HOX (X=F, Cl, Br, I) molecules on surface of ice a topological analysis of the Electron Localization Function will be used to elucidate and compare properties of the oxygen - halogen bond during processes of adsorption.
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