A New Synthesis of X-Ray Data for Crystal Analysis

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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 Za and parameter xa (a= 1,2,...s). Then we can define a quantity E(h) deducible directly from X-ray intensity data by

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