The topological indices of the "[(µ3-2, 5-dioxyocyclohexylidene)-bis ((2-hydrido)-nonacarbonyltriruthenium]” were studied within the quantum theory of atoms in the molecule (QTAIM), clusters are 
analyzed using the density functional theory (DFT). The estimated topological variables accord with prior 
descriptions of comparable transition metal complexes. The Quantum Theory of Atom, in molecules 
investigation of the bridging core component, Ru3H2, revealed critical binding points (chemical bonding) 
between Ru (1) and Ru (2) and Ru (3). Consequently, delocalization index for this non-bonding interaction 
was calculated in the core of Ru3H2, the interaction is of the (5centre–5electron) class.