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本文给出多重Patterson函数通式,并由此导出Hauptman和Karle从不同途径引入的倒易空间相角结构不变量。若扩展结构不变量的概念,可以发现倒易空间结构不变量同正空间结构不变量之间存在着联系。多重Patterson函数中的相角问题,归结为概率直接法中相角结构不变量的估计问题。本文给出不具有附加模的Σ关系通解,它是可能用于计算多重Patterson函数的方法之一,并初步地讨论了多重Patterson函数的性质。
In this paper, we give the general formula of multiple Patterson functions, and derive the invariant of phase space structure of reciprocal space introduced by Hauptman and Karle from different ways. If we extend the concept of structural invariants, we find that there is a relationship between invariant spatial structure invariants and invariant spatial structure invariants. The phase angle problem in multiple Patterson functions is attributed to the estimation of invariant phase angle structures in the direct method of probability. In this paper, the general solution of Σ-relation without additional modules is given, which is one of the methods that may be used to calculate multiple Patterson functions. The properties of multiple Patterson functions are discussed preliminarily.