For carbon nanotubes with open end, the relation between the distribution o
f frontier orbitals and the edge structure was studied by the Huckel and ab
initio molecular orbital methods. When the edge of a nanotube takes a zigz
ag form, the frontier orbitals localize at the edge part irrespective of th
e tube length, and continuous growth can be expected according to the front
ier electron theory; when the edge takes an armchair form, the frontier orb
itals delocalize all over the tube surface, disfavoring the nanotube growth
. These results coincide with the experimental observation by Sattler et al
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