The interpretation of partial Patterson functions and its application to structure analyses of sérandite Mn2NaHSi3O9 and banalsite BaNa2Al4Si4O16*

Abstract

Abstract A general procedure has been described of decomposing vector sets of centrosymmetrical sets of positive and negative unit points. The negative images which are characteristic of the vector sets can effectively be utilized to locate inversion images. Multiple solutions of the vector sets due to possible types of multiple images are discussed. The procedure can readily be exploited, in general, for the straightforward interpretation of partial Patterson functions of superstructures calculated from superstructure reflections alone. Examples of applying this procedure have been shown to the structure determinations of sérandite and banalsite, both having strong quasi-periodicities.