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Topics on space groups treated in Volumes A1 and E of International Tables for Crystallography
Wondratschek, H., Müller, U., Litvin, D.B. and Kopskı, V.  International Tables for Crystallography (2016). Vol. A, ch. 1.7, pp. 132-139 [ doi:10.1107/97809553602060000925 ]
... ways: (a) by suppressing all translations of the kind + + , where u, v and w are integers. The new basis is normally ... Relations between Wyckoff positions for group-subgroup-related space groups | | U. Müller b 1.7.2.1. Symmetry relations between crystal structures | | The ... orientation (0001) passing through the points with coordinates 0, 0, u, where u is an integer. All these planes contain ...

Euclidean normalizers of plane groups and space groups
Koch, E., Fischer, W. and Müller, U.  International Tables for Crystallography (2016). Vol. A, Section 3.5.2.1, pp. 827-830 [ doi:10.1107/97809553602060000933 ]
... Untergruppen. Z. Kristallogr. 69, 533-555. Koch, E. & Müller, U. (1990). Euklidische Normalisatoren für trikline und monokline Raumgruppen ...
     [more results from section 3.5.2 in volume A]

Definitions
Koch, E., Fischer, W. and Müller, U.  International Tables for Crystallography (2016). Vol. A, Section 3.5.1.2, pp. 826-827 [ doi:10.1107/97809553602060000933 ]
... Konfigurationslagen. Acta Cryst. A31, 88-95. Koch, E. & Müller, U. (1990). Euklidische Normalisatoren für trikline und monokline Raumgruppen ...
     [more results from section 3.5.1 in volume A]

Normalizers of space groups and their use in crystallography
Koch, E., Fischer, W. and Müller, U.  International Tables for Crystallography (2016). Vol. A, ch. 3.5, pp. 826-851 [ doi:10.1107/97809553602060000933 ]
... normalizers of monoclinic and triclinic space groups n, g and u represent integer, even and odd numbers, respectively, r, s and ... determination. Z. Kristallogr. 221, 1-14. Koch, E. & Müller, U. (1990). Euklidische Normalisatoren für trikline und monokline Raumgruppen ...

Enantiomorphism and chirality
Müller, U.  International Tables for Crystallography (2016). Vol. A, Section 3.2.4.5, pp. 775-776 [ doi:10.1107/97809553602060000930 ]
Enantiomorphism and chirality 3.2.4.5. Enantiomorphism and chirality Definition: An object is chiral if it cannot be superposed by pure rotation and translation on its image formed by inversion through a point. The symmetry group of a chiral object contains no symmetry operations of the second kind, i.e. no inversion, rotoinversion, reflection ...
     [more results from section 3.2.4 in volume A]

Point groups and crystal classes
Hahn, Th., Klapper, H., Müller, U. and Aroyo, M.I.  International Tables for Crystallography (2016). Vol. A, ch. 3.2, pp. 720-776 [ doi:10.1107/97809553602060000930 ]
... the set of directions obtained for all possible values of u and w, in this case to all directions normal to ... for crystals) and 3.2.4 (for molecules). 3.2.4. Molecular symmetry | | U. Müller b 3.2.4.1. Introduction | | In this section, by `molecule ... Relations Between Space Groups, 2nd ed., edited by H. Wondratschek & U. Müller. Chichester: Wiley. International Tables for Crystallography (2010) ...

Presentation of the relations between the Wyckoff positions among group-subgroup-related space groups
Müller, U.  International Tables for Crystallography (2016). Vol. A, Section 1.7.2.5, p. 136 [ doi:10.1107/97809553602060000925 ]
Presentation of the relations between the Wyckoff positions among group-subgroup-related space groups 1.7.2.5. Presentation of the relations between the Wyckoff positions among group-subgroup-related space groups Group-subgroup relations as outlined in the preceding sections can only be correct if all atomic positions of the hettotypes result directly ...
     [more results from section 1.7.2 in volume A]

Historical introduction
Aroyo, M. I., Müller, U. and Wondratschek, H.  International Tables for Crystallography (2011). Vol. A1, ch. 1.1, pp. 2-6 [ doi:10.1107/97809553602060000790 ]
... space groups. Acta Cryst. A39, 907-915. Giovanoli, D. & Leuenberger, U. (1969). Über die Oxidation von Manganoxidhydroxid. Helv. Chim. Acta ... space-group corrections. Acta Cryst. B58, 62-77. Müller, U. (2004). Kristallographische Gruppe-Untergruppe-Beziehungen und ihre Anwendung in ... Kristallchemie. Z. Anorg. Allg. Chem. 630, 1519-1537. Müller, U. (2006). Inorganic Structural Chemistry, 2nd ed., pp. 212- ...

Monoclinic and triclinic subgroups
Müller, U.  International Tables for Crystallography (2011). Vol. A1, Section 3.1.6, pp. 471-472 [ doi:10.1107/97809553602060000802 ]
Monoclinic and triclinic subgroups 3.1.6. Monoclinic and triclinic subgroups Aside from the two choices for the unique axis and the three possible cell choices given in Volume A, the unit cell of a monoclinic space group allows many more settings that can be interconverted by transformations such as with an integer ...

Orientational conjugation
Müller, U.  International Tables for Crystallography (2011). Vol. A1, Section 3.1.5.2, p. 471 [ doi:10.1107/97809553602060000802 ]
Orientational conjugation 3.1.5.2. Orientational conjugation In this case, the conjugate subgroups have differently oriented unit cells that are equivalent by a symmetry operation other than a translation of the space group. This occurs in the following cases: orthorhombic subgroups of hexagonal space groups; monoclinic subgroups of trigonal (including rhombohedral) space groups ...
     [more results from section 3.1.5 in volume A1]

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