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Results for DC.creator="H." AND DC.creator="Zimmermann" in section 3.3.3 of volume A |
Generalized symmetry
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.6, p. 790 [ doi:10.1107/97809553602060000931 ]
Generalized symmetry 3.3.3.6. Generalized symmetry The international symbols can be suitably modified to describe generalized symmetry, e.g. colour groups, which occur when the symmetry operations are combined with changes of physical properties. For the description of antisymmetry (or `black-white' symmetry), the symbols of the Bravais lattices are supplemented by additional ...
Systematic absences
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.5, pp. 789-790 [ doi:10.1107/97809553602060000931 ]
... relation (i) = and the scalar product (ii) . A reflection h is absent if condition (i) holds and the scalar product ...
Standardization rules for short symbols
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.4, p. 782 [ doi:10.1107/97809553602060000931 ]
Standardization rules for short symbols 3.3.3.4. Standardization rules for short symbols The symbols of Bravais lattices and glide planes depend on the choice of basis vectors. As shown in the preceding section, additional translation vectors in centred unit cells produce new symmetry operations with the same rotation but different glide/screw ...
Properties of the international symbols
International Tables for Crystallography (2016). Vol. A, Section 3.3.3, pp. 780-790 [ doi:10.1107/97809553602060000931 ]
... these rules is called the `origin of the symbol' (Burzlaff & Zimmermann, 1980 ). It is evident that the reference to the ... 1.5.2.3 and equation (1.5.2.13) ] Applications can be found in Burzlaff & Zimmermann (2002 ). Examples: Deduction of the generating operations from the ... . These concepts have been applied by Bertaut (1976 ) and Zimmermann (1976 ); cf. Section 1.5.4.1 . Example The full symbol ...
Derivation of the full symbol from the short symbol
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.2, p. 781 [ doi:10.1107/97809553602060000931 ]
Derivation of the full symbol from the short symbol 3.3.3.2. Derivation of the full symbol from the short symbol If the geometrical point of view is again considered, it is possible to derive the full international symbol for a space group. This full symbol can be interpreted as consisting of symmetry ...
Derivation of the space group from the short symbol
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.1, pp. 780-781 [ doi:10.1107/97809553602060000931 ]
... these rules is called the `origin of the symbol' (Burzlaff & Zimmermann, 1980 ). It is evident that the reference to the ... 1.5.2.3 and equation (1.5.2.13) ] Applications can be found in Burzlaff & Zimmermann (2002 ). Examples: Deduction of the generating operations from the ... shift is necessary. The expanded symbol is . References Burzlaff, H. & Zimmermann, H. (1980). On the choice of origins ...
Non-symbolized symmetry elements
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.3, pp. 781-782 [ doi:10.1107/97809553602060000931 ]
... . These concepts have been applied by Bertaut (1976 ) and Zimmermann (1976 ); cf. Section 1.5.4.1 . Example The full symbol of ... Zur systematischen Strukturtheorie IV. Untergruppen. Z. Kristallogr. 69, 533-555.GoogleScholar Zimmermann, H. (1976). Ableitung der Raumgruppen aus ihren klassengleichen Untergruppenbeziehungen. ...
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.6, p. 790 [ doi:10.1107/97809553602060000931 ]
Generalized symmetry 3.3.3.6. Generalized symmetry The international symbols can be suitably modified to describe generalized symmetry, e.g. colour groups, which occur when the symmetry operations are combined with changes of physical properties. For the description of antisymmetry (or `black-white' symmetry), the symbols of the Bravais lattices are supplemented by additional ...
Systematic absences
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.5, pp. 789-790 [ doi:10.1107/97809553602060000931 ]
... relation (i) = and the scalar product (ii) . A reflection h is absent if condition (i) holds and the scalar product ...
Standardization rules for short symbols
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.4, p. 782 [ doi:10.1107/97809553602060000931 ]
Standardization rules for short symbols 3.3.3.4. Standardization rules for short symbols The symbols of Bravais lattices and glide planes depend on the choice of basis vectors. As shown in the preceding section, additional translation vectors in centred unit cells produce new symmetry operations with the same rotation but different glide/screw ...
Properties of the international symbols
International Tables for Crystallography (2016). Vol. A, Section 3.3.3, pp. 780-790 [ doi:10.1107/97809553602060000931 ]
... these rules is called the `origin of the symbol' (Burzlaff & Zimmermann, 1980 ). It is evident that the reference to the ... 1.5.2.3 and equation (1.5.2.13) ] Applications can be found in Burzlaff & Zimmermann (2002 ). Examples: Deduction of the generating operations from the ... . These concepts have been applied by Bertaut (1976 ) and Zimmermann (1976 ); cf. Section 1.5.4.1 . Example The full symbol ...
Derivation of the full symbol from the short symbol
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.2, p. 781 [ doi:10.1107/97809553602060000931 ]
Derivation of the full symbol from the short symbol 3.3.3.2. Derivation of the full symbol from the short symbol If the geometrical point of view is again considered, it is possible to derive the full international symbol for a space group. This full symbol can be interpreted as consisting of symmetry ...
Derivation of the space group from the short symbol
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.1, pp. 780-781 [ doi:10.1107/97809553602060000931 ]
... these rules is called the `origin of the symbol' (Burzlaff & Zimmermann, 1980 ). It is evident that the reference to the ... 1.5.2.3 and equation (1.5.2.13) ] Applications can be found in Burzlaff & Zimmermann (2002 ). Examples: Deduction of the generating operations from the ... shift is necessary. The expanded symbol is . References Burzlaff, H. & Zimmermann, H. (1980). On the choice of origins ...
Non-symbolized symmetry elements
International Tables for Crystallography (2016). Vol. A, Section 3.3.3.3, pp. 781-782 [ doi:10.1107/97809553602060000931 ]
... . These concepts have been applied by Bertaut (1976 ) and Zimmermann (1976 ); cf. Section 1.5.4.1 . Example The full symbol of ... Zur systematischen Strukturtheorie IV. Untergruppen. Z. Kristallogr. 69, 533-555.GoogleScholar Zimmermann, H. (1976). Ableitung der Raumgruppen aus ihren klassengleichen Untergruppenbeziehungen. ...
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