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Limiting forms and comprehensive complexes for crystallographic point groups, rod groups and layer groups

Published/Copyright: August 25, 2010
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Abstract

Different complexes in R3 may share point configurations. Such point configurations in common necessarily give rise to limiting-form relations between complexes: a complex A, the comprehensive complex, contains all point configurations of a second complex B, which is a limiting form of A. Complete tables of the comprehensive complexes and of the limiting forms are given for all point complexes, row complexes and net complexes in R3. For these, the limiting forms have been derived by means of group-subgroup relations. The corresponding two-coloured groups have been used to facilitate this procedure.

Published Online: 2010-08-25
Published in Print: 1978
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