The electronic structures of different morphologies of carbon nanotube
s are investigated within either tight-binding or ab initio frameworks
. After a brief description of the electronic properties of the ''perf
ect'' rolled-up graphene sheet, nanotubes containing pentagon-heptagon
pairs, tips (hemispherical caps), sp(3)-like lines responsible for po
lygonization, multishell and solid-state packings (bundles) are studie
d in order to point out the influence of such defects on the electroni
c states of the ''perfect'' cylinders. Most of the time, a structural
optimization was performed on the atomic topology, prior to the calcul
ation of the electronic properties. Connections with experimental fact
s are indicated as frequently as possible.