The electronic structure of four prototypical Cvetanovic diradicals, species derived by addition of O(P-3) to unsaturated compounds, is investigated by high-level electronic structure calculations and kinetics modeling. The main focus of this study is on the electronic factors controlling the rate of intersystem crossing (ISC): minimal energy crossing points (MECPs) and spin-orbit couplings (SOCs). The calculations illuminate significant differences in the electronic structure of ethene- and ethyne-derived compounds and explain the effect of methylation. The computed MECP heights and SOCs reveal different mechanisms of ISC in ethene- and ethyne-derived species, thus explaining variations in the observed branching ratios between singlet and triplet products and a puzzling effect of methyl substitution. In the ethene- and propene-derived species, the MECP is very low and the rate is controlled by variations of SOC, whereas in the ethyne- and propyne-derived species the MECP is high and the changes in the ISC rate due to methyl substitutions are driven by the variations of MECP heights.