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Results for DC.creator="W." AND DC.creator="Fischer" in section 3.5.3 of volume A |
Reduction of the parameter regions to be considered for geometrical studies of point configurations
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.5, p. 850 [ doi:10.1107/97809553602060000933 ]
... Dirichlet domains etc.), the Euclidean normalizers (cf. e.g. Laves, 1931; Fischer, 1971, 1991; Koch, 1984a) as well as the affine normalizers (cf. Fischer, 1968) of the space groups allow a further reduction of ... Fig. 3.5.2.1) by means of the affine normalizer . References Fischer, W. (1968). Kreispackungsbedingungen in der Ebene. Acta Cryst. ...
Euclidean- and affine-equivalent sub- and supergroups
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.4, pp. 849-850 [ doi:10.1107/97809553602060000933 ]
Euclidean- and affine-equivalent sub- and supergroups 3.5.3.4. Euclidean- and affine-equivalent sub- and supergroups The Euclidean or affine normalizer of a space group maps any subgroup or supergroup of either onto itself or onto another subgroup or supergroup of . Accordingly, these normalizers define equivalence relationships on the sets of ...
Equivalent lists of structure factors
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.3, p. 849 [ doi:10.1107/97809553602060000933 ]
Equivalent lists of structure factors 3.5.3.3. Equivalent lists of structure factors All the different but equivalent descriptions of a crystal structure refer to different but equivalent lists of structure factors. These lists contain the same moduli of the structure factors , but they differ in their indices and phases . In the ...
Equivalent point configurations, equivalent Wyckoff positions and equivalent descriptions of crystal structures
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.2, pp. 838-849 [ doi:10.1107/97809553602060000933 ]
... configurations and descriptions of crystal structures have been given by Fischer & Koch (1983) and Koch & Fischer (2006). References Buttner, R. H. & Maslen, E. N. (1992 ... electron difference density in BaTiO3. Acta Cryst. B48, 764-769. Fischer, W. & Koch, E. (1983). On the equivalence of ...
Introduction
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.1, p. 838 [ doi:10.1107/97809553602060000933 ]
Introduction 3.5.3.1. Introduction The Euclidean and the affine normalizer of a space group form the appropriate tool to define equivalence relationships on sets of objects that are not symmetry-equivalent in this space group but `play the same role' with respect to this group. Two such objects referring to the same ...
Examples of the use of normalizers
International Tables for Crystallography (2016). Vol. A, Section 3.5.3, pp. 838-850 [ doi:10.1107/97809553602060000933 ]
... configurations and descriptions of crystal structures have been given by Fischer & Koch (1983) and Koch & Fischer (2006). 3.5.3.3. Equivalent lists of structure factors | | All the ... Dirichlet domains etc.), the Euclidean normalizers (cf. e.g. Laves, 1931; Fischer, 1971, 1991; Koch, 1984a) as well as the affine ...
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.5, p. 850 [ doi:10.1107/97809553602060000933 ]
... Dirichlet domains etc.), the Euclidean normalizers (cf. e.g. Laves, 1931; Fischer, 1971, 1991; Koch, 1984a) as well as the affine normalizers (cf. Fischer, 1968) of the space groups allow a further reduction of ... Fig. 3.5.2.1) by means of the affine normalizer . References Fischer, W. (1968). Kreispackungsbedingungen in der Ebene. Acta Cryst. ...
Euclidean- and affine-equivalent sub- and supergroups
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.4, pp. 849-850 [ doi:10.1107/97809553602060000933 ]
Euclidean- and affine-equivalent sub- and supergroups 3.5.3.4. Euclidean- and affine-equivalent sub- and supergroups The Euclidean or affine normalizer of a space group maps any subgroup or supergroup of either onto itself or onto another subgroup or supergroup of . Accordingly, these normalizers define equivalence relationships on the sets of ...
Equivalent lists of structure factors
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.3, p. 849 [ doi:10.1107/97809553602060000933 ]
Equivalent lists of structure factors 3.5.3.3. Equivalent lists of structure factors All the different but equivalent descriptions of a crystal structure refer to different but equivalent lists of structure factors. These lists contain the same moduli of the structure factors , but they differ in their indices and phases . In the ...
Equivalent point configurations, equivalent Wyckoff positions and equivalent descriptions of crystal structures
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.2, pp. 838-849 [ doi:10.1107/97809553602060000933 ]
... configurations and descriptions of crystal structures have been given by Fischer & Koch (1983) and Koch & Fischer (2006). References Buttner, R. H. & Maslen, E. N. (1992 ... electron difference density in BaTiO3. Acta Cryst. B48, 764-769. Fischer, W. & Koch, E. (1983). On the equivalence of ...
Introduction
International Tables for Crystallography (2016). Vol. A, Section 3.5.3.1, p. 838 [ doi:10.1107/97809553602060000933 ]
Introduction 3.5.3.1. Introduction The Euclidean and the affine normalizer of a space group form the appropriate tool to define equivalence relationships on sets of objects that are not symmetry-equivalent in this space group but `play the same role' with respect to this group. Two such objects referring to the same ...
Examples of the use of normalizers
International Tables for Crystallography (2016). Vol. A, Section 3.5.3, pp. 838-850 [ doi:10.1107/97809553602060000933 ]
... configurations and descriptions of crystal structures have been given by Fischer & Koch (1983) and Koch & Fischer (2006). 3.5.3.3. Equivalent lists of structure factors | | All the ... Dirichlet domains etc.), the Euclidean normalizers (cf. e.g. Laves, 1931; Fischer, 1971, 1991; Koch, 1984a) as well as the affine ...
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