  The band structure of alfa-(Per)2M(mnt)2, leads to a description of these
materials as nearly perfectly one dimensional conductors. The conduction is
mainly along the stacking direction of the partially oxidized perylene
molecules, (Per)1/2+, with virtually no interchain bandwidth. However, recent
high magnetic field experiments suggest orbital coupling of the magnetic field
to the electronic structure, indicating a finite interchain bandwidth. The
details of the band structure and the possible variances, at low energies, from
a perfect one dimensional system are examined. In particular, multiple
quasi-one dimensional Fermi surface sheets, which would become important at low
temperatures, may lead to an explanation for the experimental finding of a
magnetic field induced high field charge density wave ground state.
Experimental tests to observe the effects of the finite interchain bandwidth
are proposed.
