The Huckel molecular orbital spectra (HMO) of Huckel- and Mobius-type
cyclacenes having 3-15 benzenoid rings were investigated and it was fo
und that certain eigenvalues are topologically invariant, whereas othe
rs exhibit topological periodicity. Fbr example, Huckel-type cyclacene
s having 2r (r: 2,3,4,...) benzenoid rings which possess nonbonding mo
lecular orbitals (NBMO) and are thus expected to be open shell structu
res.