  The motion of atoms in a dark magneto-optical lattice is considered. This
lattice is formed by a non-uniformly polarized laser field in the presence of a
static magnetic field. Cold atoms are localized in the vicinity of points where
dark states are not destroyed by a magnetic field. As a result the optical
interaction tends to zero (dark or gray lattices). Depending on the field
configuration such a lattice can exhibit one or two-dimensional periodicity. It
is shown that in 1D and 2D dark magneto-optical lattices the effects connected
with the Bose-statistics of particles can be observed under the temperature
$10^{-5}-10^{-6}K$ and densities $10^{11}-10^{12} cm^{-3}$, those are usual for
current experiments on laser cooling.
