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A method for calculating the intensities of diffracted waves in low energy electron diffraction by crystals is proposed. The elastic multiple scattering is fully taken into account. The cellular method of KOHN and ROSTOKER in the band theory of metals is applied to the integral equation of the scattering by two dimensional lattices, particularly by monatomic layers. The solution is expanded in spherical harmonics on the surface of spheres, within which the atomic potential is assumed to be confined.

Theory of Low-Energy Electron Diffraction: I. Application of the Cellular Method to Monatomic Layers