The CC bonding is analyzed using dynamic orbital forces (DOF) in the series cyclopropane-ethane-benzene-ethylene-acetylene. The sum Σ(DOF) t of the DOF over occupied molecular orbitals (MOs) is found linearly correlated to bond energies and thus can be used as a tool for determination of CC bond strength. A partition of bonding into σ and π components indicates a weakening of the σ bonding along the series, mainly due to the decrease of the bonding character of the highest σ MO. For C 2 molecule, Σ(DOF) t was computed taking into account the four dominant configurations.On the basis of the preceding correlation, the C 2 bond was found about 15 kcal/mol weaker than that of acetylene, with a 25% σ participation; the bond order of C 2 can be evaluated at about 2.8 if we assume bond orders of 3 for acetylene and 2 for ethylene.Some sila homologs of the preceding carbon compounds have been studied. They exhibit characteristics generally close to the carbon compounds. A quite good correlation between Σ(DOF) t and bond energies is also observed.
K E Y W O R D SCC bond energy, dicarbon, hydrocarbons, orbital forces, silanes
| INTRODUCTIONAfter the pioneer work of Tal and Katriel, [1] the molecular orbital (MO) derivatives with respect to bond length have successfully been used as an index of their bonding character in diatomic molecules. [2] It can be easily justified, in the case of Hartree-Fock (H-F) canonical MOs, from generalized Koopman's theorem. As a matter of fact, the energy ε i of the ith MO is:where E 0 is the H-F energy of the neutral molecule, and E + i is the energy of the cation resulting from the removal of one electron from the ith MO. The derivative with respect to the internuclear distance R yields:The MO derivative thus appears as the variation of the forces exerted by electrons on nuclei when one electron is removed, in the approximation of frozen MOs. If the geometry has been optimized at R = R e , dE /dR = 0 and one gets: