Retro-cycloadditions and thermal rearrangements of hydrocarbons have been i
nvestigated with density functional theory (B3LYP) and complete active spac
e multiconfiguration self consistent field theory (CASSCF and CASPT2). We r
eview recent results from our laboratories. Subjects are the laser-induced
retro-Dids-Alder reactions of norbornene, thermal retro-Diers-Alder reactio
ns of norbornenes and isopropylidenorbornene, 1,3-sigmatropic shifts of vin
ylcyclopropane and bicyclo[3.2.0]heptenes, and the 1,5-sigmatropic shifts o
f norcaradienes. The competition between concerted and stepwise processes a
nd the nature of diradicals formed in these processes are described.