The geometries and vibrational frequencies of the lowest-lying spin-do
ublet and spin-quartet states of the monocarbonyl and isocarbonyl comp
lexes of the elements of Group 13 have been studied using local densit
y-functional calculations within the linear combination of Gaussian-ty
pe orbitals framework. An analogy is drawn between the familiar sigma
donation/pi-back donation mechanism used to describe the bonding in tr
ansition-metal carbonyls and the bonding in these main-group molecules
. Changes in orbital populations and bond orders upon complexation hav
e been used to quantify this idea. The results strongly suggest that t
he species detected by the observation of characteristic metal-carbony
l stretching frequencies in matrices containing boron, aluminium and g
allium together with carbon monoxide are the carbonyl complexes rather
than the isocarbonyl isomers. The ground state of BCO is predicted to
be a (4) Sigma(+) State but the ground states of the remaining monoca
rbonyls are likely to be spin doublets. The 2II state of BCO and AlCO
may be unstable to bending probably because of the repulsive interacti
on between the metal s(2) electrons and the donor electron pair on the
ligand. This repulsion is much reduced in the (4) Sigma(+) State and
together with increased a-back donation this results in considerably s
tronger M-CO bonds. The sigma-acid and pi-base behaviour of the metals
parallels their electronegativity.