We have investigated the electronic structures of a capped single-walled ca
rbon nanotube under the applied electric field using density functional cal
culations. The capped tube withstands field strengths up to 2 V/Angstrom. W
hen the electric field is applied along the tube axis, charges are transfer
red from the occupied levels localized at the top pentagon of the cap, and
not from the highest occupied level localized at the side pentagon, to the
unoccupied levels. We find that the charge densities at the top of the armc
hair cap show two- or five-lobed patterns depending on the field strength,
whereas those of the zigzag cap show a three-lobed pattern. The interpretat
ion for the images of the field emission microscope is also discussed. (C)
2001 American Institute of Physics.