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Classical and quantum properties of scattering of charged particles inultrathin crystals are considered. A comparison is made of these two ways ofstudy of scattering process. In the classical consideration we remark theappearance of sharp maxima that is referred to the manifestation of the rainbowscattering phenomenon and in quantum case we show the sharp maxima that arisefrom the interference of single electrons on numerous crystal planes, that canbe expressed in the terms of reciprocal lattice vectors. We show that for someparameters quantum predictions substantially differ from the classical ones.Estimated is the influence of the beam divergence on the possibility ofexperimental observation of the studied effects.

On classical and quantum effects at scattering of fast charged particles in ultrathin crystal