The effects of resonance and nonresonance interactions between electrons and spherical structures with spatial periodicity in the radial direction (clusters) were studied. It was shown analytically and by numerical calculations that the δ_l phase shift of the wave function, which arises in resonance electron scattering by such a periodic structure of a fairly large radius r_0, was not small even at a small ratio between the U_0 amplitude of the periodic potential and scattered electron energy E(ε_0 = U_0/E 1) and equaled |δ_l| = π/4 (modulo π). This phase shift corresponded to the limiting case of a large Born parameter for the cluster, ξ_0 = r_0U_0/hv 1, where v is the characteristic velocity of the electron. The effect of nonresonance electron scattering by a periodic potential whose spatial period was incommensurate with the Brillouin wavelength of the scattered electron was considered analytically. the Effect of nonresonance scattering was shown to be of a higher order in the ε_0 1 parameter than resonance scattering. The cross section of electron scattering by a cluster was calculated, which allowed the conductivity of a medium containing clusters to be estimated.
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