  Classical and quantum properties of scattering of charged particles in
ultrathin crystals are considered. A comparison is made of these two ways of
study of scattering process. In the classical consideration we remark the
appearance of sharp maxima that is referred to the manifestation of the rainbow
scattering phenomenon and in quantum case we show the sharp maxima that arise
from the interference of single electrons on numerous crystal planes, that can
be expressed in the terms of reciprocal lattice vectors. We show that for some
parameters quantum predictions substantially differ from the classical ones.
Estimated is the influence of the beam divergence on the possibility of
experimental observation of the studied effects.
