  The effect of a weak uniform magnetic field on the electronic structure of
slightly deformed fullerene molecules is studied within the continuum
field-theory model. It is shown that fine structure of the electronic energy
spectrum is very sensitive to the orientation of the magnetic field. In
particular, we found that the magnetic field pointed in the x direction does
not influence the first electronic level whereas it causes a splitting of the
second energy level. This behavior differs markedly from the case of the
magnetic field pointed in the z direction.
