Reciprocity and Shape Functions in Multiple Scattering Diagrams

Abstract

Abstract The scattering amplitude for fast electrons diffracted from a plate of crystal is analyzed in terms of multiple scattering diagrams. It is shown that to every individual scattering process in an arbitrary orientation there exists a process in the reciprocity configuration equal in amplitude and phase, that is, to every diagram there corresponds a reciprocal diagram. It is shown that the geometric part of the diagram may be expressed in terms of the divided differences of the kinematic shape transform.