Heteroatomic cages (BN/2NN/2) with borons and nitrogens fully replacin
g alternant sets of carbons in cages are built graph-theoretically and
investigated via the semiempirical MNDO Hamiltonian. The comparison w
ith their parent carbon cages C-N is made in terms both of electronic
and of geometric changes. Infinite classes first of octahedral symmetr
y and second of hexagonal-bipyramidal symmetry fullerenoid cages are c
onsidered in detail. The difference in the electronegativities for bor
on and nitrogen implies the opening of HOMO-LUMO gaps for alternant BN
clusters. In general, the borons prefer planar geometry (sp(2) hybrid
ization) while the nitrogens prefer pyramidalization (sp(3) hybridizat
ion). (C) 1997 John Wiley & Sons, Inc.