O X

Fig. 19.24. Relation between the fundamental symmetry vector r = pa, + qa2 of the ID unit cell and the two vectors that specify the carbon nanotube (n, my. the chiral vector Ch and translation vector T. The projections of r on the Ch and T axes, respectively, yield ip and r, where X in the figure is <[i scaled by (CJ2tt). After (N/d) translations, r reaches a lattice point B" (see text). The vertical dashed lines divide the vector Ch into d sectors [19.5].

Regarding the angle of rotation, the scalar product R • Ch yields l/f = 2t7

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