The spin-forbidden oxidative addition of H 2 to Fe(CO) 4 , Fe(PH 3 ) 4 , Fe(dpe) 2 and Fe(dmpe) 2 [dpe = H 2 PCH 2 CH 2 PH 2 , dmpe = (CH 3 ) 2 PCH 2 CH 2 P(CH 3 ) 2 ] has been investigated by density functional theory using a modified B3PW91 functional. All 16-electron fragments are found to adopt a spin triplet ground state. The H 2 addition involves a spin crossover in the reagents region of configurational space, at a significantly higher energy relative to the triplet dissociation asymptote and, for the case of Fe(CO) 4 ؒH 2 , even higher than the singlet dissociation asymptote. After crossing to the singlet surface, the addition proceeds directly to the classical cis-dihydride product. Only for the Fe(CO) 4 was it possible to locate a stable energy minimum for the non-classical tautomer (dihydrogen complex), but the energy difference between this minimum and the tautomerisation transition state inverts when taking into account the zero-point energy correction. The geometries at the crossing points indicate a "side-on" approach of the H 2 molecule to the metal for the Fe(CO) 4 , Fe(CO) 2 (PH 3 ) 2 and Fe(PH 3 ) 4 systems. These geometries are more reactants-like for the Fe(CO) 4 system and more product-like for the Fe(PH 3 ) 4 system. The crossing point geometry for the Fe(dpe) 2 system, on the other hand, is nearly C 2 -symmetric. The presence of an energy barrier on going from 3 FeL 4 ϩ H 2 to the crossing point is in agreement with the slow observed rates for addition of H 2 to these unsaturated organometallic fragments.