Pseudopotential Approach to Diffraction Intensity of Low-Energy Electrons by Crystals

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The theory of the diffraction of low-energy electrons is formulated along the pseudopotential formalism well known in the theory of metals. A Schroedinger-like equation with the pseudopotential is rewritten as an integral equation which in turn is solved by the t-matrix method of Bennemann. The effects of inelastic processes are expressed in terms of a complex (optical) potential. Inner-potential correction is shown to be dependent on the incident electron energy without regard to the inelastic processes. As an example, the intensity of the 00 wave from the (0001) face of graphite is calculated approximating the potential of each atom by a screened Coulomb potential and the core wave function by a Slater atomic orbital. The orthogonalization of the wave function for the incident electrons to the core wave functions improves the agreement of the calculated result with the observed one by Lander and Morrison.

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