Approximations in the Dynamical Theory of Electron Diffract
The last twenty years have seen a remarkable development in electron microscopy of crystalline materials. This development has, quite naturally, been stimulated by the continuing quest of the electron microscopist for more information about the structure of his specimens and it is not surprising, therefore, that the more qualitative observations of the past have been supplemented by techniques which permit higher resolution, more quantitative information to be extracted. The fundamental role played by the dynamical theory of electron diffraction in this development requires no emphasis on my part. As is true with all physical theories, however, the dynamical theory itself has been the subject of continued development and investigation. This work is not simply of academic interest but has been an important, and in fact necessary, concomitant of the developments in the electron microscopy of crystals referred to above. The reason for this can be easily understood when it is recalled that the form of the dynamical theory used in image contrast calculations has many approximations embodied in it.