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Complexes for crystallographic point groups, rod groups and layer groups
Published/Copyright:
August 25, 2010
Abstract
Point complexes, row complexes and net complexes in three-dimensional space are defined–by analogy to lattice complexes–as sets of point configurations in crystallographic point groups, rod groups and layer groups, respectively. For this the point configurations are united stepwise via point-positions and configuration-sets. With subperiodic groups, however, affine isomorphisms and affine automorphisms rather than isomorphisms and automorphisms of groups have to be used as equivalence relations. The assignment of all the configurationsets of crystallographic point groups, rod groups and layer groups to point complexes, row complexes and net complexes, respectively, is given explicitly by tables.
Published Online: 2010-08-25
Published in Print: 1978
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