Hybridization of the sigma and pi* states of the graphene network is
shown to be as important as band-folding effects in determining the me
tallicity of small radius carbon nanotubes. Using detailed plane-wave
ab initio pseudopotential local density functional (LDA) calculations,
we find that the electronic properties of small tubes are significant
ly altered from those obtained in previous tight-binding calculations.
Strongly modified low-lying conduction band states are introduced int
o the band gap of insulating tubes because of strong sigma-pi* hybrid
ization. As a result, the LDA gaps of some tubes are lowered by more t
han 50%, and a tube previously predicted to be semiconducting is shown
to be metallic.