  The dependence of the ultrasonic attenuation on the direction of magnetic
field in an intermediate state of the very pure Gallium single crystal, in the
case, when the magnetic field H is perpendicular to the wave vector k at the
temperature T = 0.5 K, is found to be anomalously different from the
dependence, observed at the same temperature and the magnitude of magnetic
field equal to the critical magnetic field H=Hc in a normal state of
superconductor. This new phenomenon can be explained, considering the
anisotropy of the Fermi surface in the very pure Gallium single crystal.
