Pseudokinematical Approximation in Electron Diffraction by Crystal

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Abstract
The pseudokinematical theory of electron diffraction is considered to be a good approximation for gas molecules. When, the theory is applied to crystals, however, there is an ambiguity concerning the nature of the approximation. In the present paper, the ambiguity is removed by comparing the result of the theory with the exact solution. The higher order Born approximation applied to the entire crystal is used as the exact solution. It is concluded that the pseudokinematical approximation is better than that of the usual kinematical theory and coincides almost with the exact solution under the condition that the crystal is very thin and there is no overlap of atoms when the crystal is seen from the direction of the incident beam.