Abstract

A crystallographic orbit has been defined as the set of all points which are equivalent under the symmetry operations of a space group. A non-characteristic crystallographic orbit is defined as a crystallographic orbit, the eigensymmetry group of which is higher than generating space group.The non-characteristic orbits, including extraordinary orbits, have been derived by Engel, Matsumoto, Steinmann and Wondratschek. The lists of them for all space groups have been published. The non-characteristic orbits are explained.

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