Fig. 2: Decomposition of the (5,10) CNT into a spiral of 5-arm sites.
From: Conversion of twisted light to twisted excitons using carbon nanotubes

The CNT can be viewed as a piece of graphene rolled up along the lattice vector \(\overrightarrow{R}=5{\overrightarrow{e}}_{1}+10{\overrightarrow{e}}_{2}\) (\({\overrightarrow{e}}_{1}\) and \({\overrightarrow{e}}_{2}\) being the primitive lattice vectors). Each arm consists of two inequivalent carbon atoms, denoted as A and B. The 5 arms are highlighted by different colors. \(\overrightarrow{H}\) is the primitive lattice vector along the spiral. The black dashed lines indicate different sites.