The level spectrum of a single-walled carbon nanotube rope, studied by
transport spectroscopy, shows Zeeman splitting in a magnetic field pa
rallel to the tube axis. The pattern of splittings implies that the sp
in of the ground state alternates by 1/2 as consecutive electrons are
added. Other aspects of the Coulomb blockade characteristics, includin
g the current-voltage traces and peak heights, also show corresponding
even-odd effects.