  We have shown that the V4+ ion with 1 d electron can have almost non-magnetic
ground state under the action of the octahedral crystal field in the presence
of the spin-orbit coupling and off-cubic distortions. Such the situation occurs
in the hexagonal BaVS3. The fine discrete electronic structure with the
weakly-magnetic Kramers-doublet ground state is the reason for anomalous
properties of BaVS3.
  Keywords: crystal-field, spin-orbit, orbital moment. PACS: 71.70.E, 75.10.D
