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Updated: Jul 18, 2026

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
Published on: February 15, 2016
Transformational space-group symbols
1Institute of Materials Science, University of Silesia, Bankowa 12, 40-007 Poland. kstroz@us.edu.pl
Abstract:
Ambiguities present in space-group construction from the Hermann-Mauguin (H-M) symbols enforce the use of other space-group designations or H-M symbol modifications. Therefore, a transformational space-group symbol (TSG) composed of the well defined standard space-group identifier, an axis-system transformation and origin shift is proposed as a symbol of any space-group description. The first description given in International Tables for Crystallography [(1983), Vol. A, Space-Group Symmetry, edited by Th. Hahn. Dordrecht: Reidel (ITA83)] or the second one for space groups with two origins is suggested here as a reference description. For standard descriptions based on the ITA generators and compiled list of the TSG symbols, all conventional space-group settings listed in ITA83 can be reconstructed.
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