期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1978
卷号：75
期号：6
页码：2545-2548
DOI：10.1073/pnas.75.6.2545
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Joint probability distributions are derived that are expressed in terms of the determinants that form the determinantal inequalities associated with the non-negative Fourier series that represent crystal structures. The derivation involves heuristic considerations. It is therefore appropriate to test the distributions extensively by making comparisons with results obtained by other theoretical means and evaluations of the implications of the distributions. Those performed thus far on the low-order determinants (third and fourth orders) have provided satisfactory results. The determinantal probability distributions imply a general maximum determinant rule, contain a wealth of information, and provide numerous paths that may be followed for future development.
