SUMMARYThe different orbitals for different spins molecular orbital and complete active space SCF studies of ozone and carbonyl oxide and related ozonolysis reactions were carried out. The RHF, UHF, approximately spin-projected (AP) UHF and CASSCF calculations were performed to elucidate the covalent bond instability of the oxygenated dipoles. The correlation energies were calculated by RMP4, UMP4, APUMP4 and CASPT2 methods. The locations of concerted transition structures for ozonolysis reactions and the full geometry optimizations of 1,5 biradicals formed by the O-O cleavage of first ozonide were carried out. The implications of these results are discussed in relation to concerted and biradical mechanisms of 1,3-dipolar additions and ozonolyses in gas phases.