NANOTUBE ELECTRONIC BANDS / ELEKTRONSKE ZONE

Symmetry assigned electronic bands of single-wall carbon nanotubes. For the chiral tube (8,2) with the line groupT1128D2=L281822 the bands are double degenerate in the interior of Brillouin zone irreducible domain, while at its edges the U-parity of the nondegenerate states is emphasized (+/-); km- (m is given at the both edges of the band kEm) and km-numbers assignation on (a) and (b).  (c) and (d): The bands of the zig-zag (10,0) and the armchair (10,10) tubes (line groupT120D10h=L2010/mcm) are four-fold (kGm,² ) or double degenerate (kEA/B0/10, ±, ¾v parity A or B given next to m); z-reversal parity (+ or -) and nondegenerate states (box) appear at the edges of the irreducible domain.
nanotubes electronic bands