Abstract
We derive here compact formulas for the Zhang-Zhang (ZZ) polynomials of two classes of finite open-ended carbon nanotubes: zigzag nanotubes \( (n,0) \) of length \( d \) and armchair nanotubes \( (n,n) \) of length \( d \). For zigzag nanotubes, the underlying
Clar cover theory is trivial; in contrast, for armchair nanotubes, the Clar theory is complex and abundant in results. The ZZ polynomial formulas have been obtained using the interface theory of benzenoids and the transfer matrix methodology.
