False detail in three-dimensional Fourier representations of crystal structures

An investigation is made of the diffraction rings to be expected in a three-dimensional Fourier representation of a crystal structure when the Fourier series terminates while the coefficients are appreciable. The method followed is an extension of that used by Bragg and West in discussing the analogous problem for two-dimensional projections. The diffraction rings for one-, two- and three-dimensional representations are compared.