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The difference in electron density between a superstructure and the structure averaged over all subcells of the superstructure is a continuously variable function having positive and negative values. The partial Patterson functions based upon supercell reflections only are the Patterson functions of such a difference electron density. Therefore the geometry of the partial Patterson functions can be investigated by the aid of the vector set of a set of positive and negative unit points.

The investigation of superstructures by means of partial Patterson functions