Concise intensity statistics of Friedel opposites and classification of the reflections

U. Shmueli*, H. D. Flack

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A previous extensive analysis of the mean-square intensity difference of Friedel opposites [Shmueli et al. (2008). Acta Cryst. A64, 476-483] is here concisely re-examined and confirmed by purely statistical methods. The analysis applies to noncentrosymmetric crystals only. For special reflections and centered lattices both mean-square intensity difference and average intensity of Friedel opposites depend on the centering factor of the crystal lattice and/or on the isotropy subgroup of the reflection. A complete classification of the reflections, based on the above intensity statistics, is presented. It is also shown that the experimentally important Bijvoet ratio is found to depend only on the chemical composition of the unit-cell content and the wavelength of the radiation.

Original languageEnglish
Pages (from-to)322-325
Number of pages4
JournalActa Crystallographica Section A: Foundations of Crystallography
Issue number4
StatePublished - 2009


  • Bijvoet ratio
  • Friedel opposites
  • Noncentrosymmetric crystals
  • Reflection intensities


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