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Some general formulae for relationships including those of high order are presented using a method of structure factor algebra on the basis of Hauptman-Karle’s relationship theory. It is indicated that the key to solving relationship problems is the evaluation of moments. We gave the method of the linearization calculation of moments which are involved by various relationships, thus solving the problem of the dependence of each relationship on space group. It opens up an effective way for the practical application of the various relationships, especially the high order ones. A general program was compiled for the computation of using the general formula of . When applied to the crystal structure calculation of EuP_5O_(14), a better result has been obtained.
Some general formulae for relationships including those of high order are presented using a method of structure factor algebra on the basis of Hauptman-Karle’s relationship theory. It is indicated that the key to solving relationship problems is the evaluation of moments. We gave the method of the linearization calculation of moments which are involved by various relationships, thus solving the problem of the dependence of each relationship on space group. It opens up an effective way for the practical application of the various relationships, especially the high order ones. A general program was compiled for the computation of using the general formula of. When applied to the crystal structure calculation of EuP_5O_ (14), a better result has been obtained.