Abstract
From the Dirac equation with a periodic scalar potential, an n-beam dynamical formula for the matrix representation of high-energy electron diffraction by a crystal is developed. By combining this with the layer-doubling method, the diffraction from an assembly of crystal slabs having different structures and thicknesses can be evaluated. Dynamical calculations of aluminium, copper and gold at several accelerating voltages have been carried out in a completely parallel manner by the present method and the Bethe method derived from the relativistic Schrodinger equation by replacing corrected mass and wavelength. The relativistic Schrodinger equation is found to be applicable for n-beam dynamical calculations for the Laue case.
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