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  • 标题:Special phase invariant formulas of higher order: Expected values
  • 本地全文:下载
  • 作者:Jerome Karle
  • 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:1982
  • 卷号:79
  • 期号:4
  • 页码:1337-1339
  • DOI:10.1073/pnas.79.4.1337
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:Formulas for the cosines of the higher-order phase invariants that arise in crystal structure analysis are derived as expected values from determinantal joint probability distributions. The values of the cosines of the invariants are expressed in terms of averages over simple functions of known structure factor magnitudes. The formulas are termed "special" to distinguish them from formulas that have more general averages. The latter will be presented in a future publication. The best opportunity for obtaining useful information from these formulas is provided by embedded seminvariants formed from the invariants by use of relationships among the phases that arise from the space group symmetries.
  • 关键词:embedded seminvariants ; determinantal joint probability distributions ; phase determination
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