Asymptotic approximation of multiple scattering in diffraction of very slow electrons on metal surface

The asymptotic approximation of the multiple scattering theory is used for the analysis of intensities in diffraction of very low energy electrons (VLEED) analytical relation between the Blochov waves amplitudes, excited in a crystal, and the zone crystal points of an unlimited crystal is obtained. The possibilities of the new approach are compared by the seam method with the calculations of the coefficients of the electron partial transfer. By the proposed accuracy this approach is simple and free from instability effects, characteristic of the seam method. Obvious connection of the values, obtained by this method, with the law of the infinite crystal electrons dispersion makes it to be perspective for analysis of the zonal structure effects in the VLEED experiments and photoemission