On Diffraction Patterns of Structures Containing Regular Crystallographic Shear Planes

Abstract

The appearances of the diffraction patterns expected for the phases derived from tungsten trioxide by crystallographic shear have been deduced by Fourier analysis. Study of electron- diffraction patterns and optical analogues confirms the predictions of the theory. The results have been generalized to a two-dimensional continuum of 'infinitely adaptive structures' by use of the shift lattice, of which the crystallographic shear structures are a special case.