The electronic structure of the double octahedral layers present in H0
.33MoO3 has been studied. It is shown that, depending on structural de
tails, three bands, two of them having a two-dimensional character and
one having a one-dimensional character, can be in competition at the
bottom of the t(2g)-block bandstructure. Both qualitative arguments an
d detailed computations show that the Fermi surface of the double octa
hedral layers has a two-dimensional character and does not exhibit nes
ting vectors. Consequently, the metal-to-insulator transition exhibite
d by H0.33MoO3 cannot be a Fermi surface driven electronic instability
, as recently proposed. An order-disorder transition of the protons is
suggested as a more likely origin of this resistivity anomaly.