Dynamical Theory of Electron Diffraction for a Finite Polyhedral Crystal I. Extension of Bethe's Theory

Abstract

Bethe's dynamical theory of election diffraction has been extended by an approximate treatment first to the case of a wedge-shaped crystal, next to the case of a wedge-shaped crystal covered by opaque screens with an aperture and finally to the most general case of a polyhedral crystal of finite extension. If the incident wave, \(\varPhi_{\text{I}}=\varPsi_{\text{I}} \exp j(\textbf{K}_{\text{I}}\cdot\textbf{\itshape r})\), impinges on the entrance surface, Sc , and the transmitted and diffracted (interfracted) wave leave the erystal from the exit surface, Sa , their wave functions are given as a superposition of plane waves;