Determinations of the signs of the fourier terms in complete crystal structure analysis

Abstract

The Fourier representation of the results of X-ray diffraction by crystals was first suggested by W. H. Bragg,** and later it was used by Havighurst and Compton† to obtain the distribution of scattering matter in crystals. W. L. Bragg‡ developed the two-dimensional representation of the Fourier series into a very convenient method of crystal analysis. He considered crystals having a centre of symmetry where it can be shown that if a projection of the atoms on the yz plane be considered the density of scattering matter per unit area of projection at the point y , z is given by