A Fourier Series Method for the Determination of the Components of Interatomic Distances in Crystals

A method for the direct determination of the components of interatomic distances in crystals has been developed from a consideration of the properties of the Fourier series whose coefficients are the squares of the $F$-coefficients for the crystal reflections. Valuable structural information is thus obtained without making any assumptions as to the phase to be allotted to the $F$-coefficients. The practical application of the method is illustrated by a discussion of the structures of potassium dihydrogen phosphate and hexachlorobenzene.