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Systematic selection of reflections,  e . g.  h  ≡ 0 (mod 2), corresponds to a superposition of a structure. If the reflections selected exhibit special extinctions or a higher Laue-symmetry than the whole diffraction pattern, the original structure (S) includes partial symmetry operations and can be described by a mixed group ( Mischgruppe ) with its space group  G  S  as the kernel ( Kern ). Possible representatives of the hull ( Schale ) can be derived from the space group  G  SPS  of the superposed structure (SPS) by decomposing  G  SPS  into a union of the cosets of its subgroup  G  0  SPS  which is obtained as the product of the translation group  T  SPS  and  G  S

Beitrag zur Beschreibung partieller Symmetrie mit Hilfe einer Mischgruppe: Superpositionsstruktur mit erhöhter Punktgruppensymmetrie