| 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. |
| Simetrijski asignirane elektronske zone jednoslojnih karbonskih
nanotuba.
Za kiralnu tubu (8,2), sa linijskom grupom T1128D2=L281822,
zone su dvostruko degenerisane u unutrasnjosti ireducibilnog domena Briluenove
zone; na krajevima zone je oznacena U-parnost nedegenerisanih stanja (+/-).
km- (m je dato na oba kra zone kEm) i km-kvantni brojevi
asignacije korisceni su na slikama (a) and (b). (c) i (d): Zone cik-cak
(10,0) i sedlaste (10,10) tube (linijska grupa T120D10h=L2010/mcm)
su cetvorostruko (kGm,² ) ili dvostruko
degenerisane (kEA/B0/10, ±,
¾v
parnost A or B je data pored m). Na krajevima domena se pojavljuju i nedegenerisana
stanja (kvadrat) sa parnoscu pri z-inverziji (+/ -). |
