A fully ab initio tight-binding formalism, based on that of Sankey and
Niklewski [O. F. Sankey and D. J. Niklewski, Phys. Rev. B 40, 3979 (1
989)] is presented. Several modifications are proposed. In particular
the question of basis sets and the effect of self-consistency have bee
n given attention. It is found that double numeric basis sets give wel
l-converged results, and that charge transfer need only be considered
in the extreme case of bonding between atoms of widely differing elect
ronegativities. Geometries are well described by the spherical atomic
charge approximation. To obtain the maximum computational efficiency t
he number of lookup tables has been reduced to a minimum through the u
se of separable pseudopotentials and a many-center expansion for the e
xchange-correlation terms. This method is applied to the study of the
effect of the temporary attachment of an electron to a hydrocarbon mol
ecule and a fluorocarbon molecule.