A New Synthesis of X-Ray Data for Crystal Analysis

Abstract

RECENTLY considerable discussion has taken place about the use of Patterson vector diagrams in crystal analysis¹. The difficulties of interpreting these diagrams in the case of complex structures as pointed out in this discussion and particularly emphasized by Sir Lawrence Bragg have led me to develop a more efficient method. This seems to be possible in the following way. Imagine a linear crystal consisting in its unit interval of s dimensionless atoms of atomic number Z_a and parameter x_a (a= 1,2,...s). Then we can define a quantity E(h) deducible directly from X-ray intensity data by