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Diagrams of the general position (by K. Momma and M. I. Aroyo)
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.8, p. 158 [ doi:10.1107/97809553602060000926 ]
Diagrams of the general position (by K. Momma and M. I. Aroyo) 2.1.3.6.8. Diagrams of the general position (by K. Momma and M. I. Aroyo) Non-cubic space groups. In these diagrams, the `heights' of the points are z coordinates, except for monoclinic space groups with unique axis b where they ...
Cubic space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.7, p. 157 [ doi:10.1107/97809553602060000926 ]
Cubic space groups 2.1.3.6.7. Cubic space groups For each cubic space group, one projection of the symmetry elements along [001] is given, Fig. 2.1.3.10; for details of the diagrams, see Section 2.1.2 and Buerger (1956). For face-centred lattices F, only a quarter of the unit cell is shown; this ...
Trigonal R (rhombohedral) space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.6, p. 157 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Tetragonal, trigonal P and hexagonal P space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.5, p. 157 [ doi:10.1107/97809553602060000926 ]
Tetragonal, trigonal P and hexagonal P space groups 2.1.3.6.5. Tetragonal, trigonal P and hexagonal P space groups The pairs of diagrams for these space groups are similar to those in the previous editions of IT. Each pair consists of a general-position diagram (right) and a diagram of the symmetry elements ...
Orthorhombic space groups and orthorhombic settings
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.4, pp. 155-157 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Monoclinic space groups (cf. Sections 2.1.3.2 and 2.1.3.15)
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.3, p. 155 [ doi:10.1107/97809553602060000926 ]
Monoclinic space groups (cf. Sections 2.1.3.2 and 2.1.3.15) 2.1.3.6.3. Monoclinic space groups (cf. Sections 2.1.3.2 and 2.1.3.15) The `complete treatment' of each of the two settings contains four diagrams (Figs. 2.1.3.2 and 2.1.3.3). Three of them are projections of the symmetry elements, taken along the unique axis (upper left) and ...
Triclinic space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.2, pp. 154-155 [ doi:10.1107/97809553602060000926 ]
Triclinic space groups 2.1.3.6.2. Triclinic space groups For each of the two triclinic space groups, three elevations (along a, b and c) are given, in addition to the general-position diagram (projected along c) at the lower right of the set, as illustrated in Fig. 2.1.3.1. Figure 2.1.3.1 | | Triclinic space groups ...
Plane groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.1, p. 154 [ doi:10.1107/97809553602060000926 ]
Plane groups 2.1.3.6.1. Plane groups Each description of a plane group contains two diagrams, one for the symmetry elements (left) and one for the general position (right). The two axes are labelled a and b, with a pointing downwards and b running from left to right. References International Tables for ...
Space-group diagrams
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6, pp. 154-158 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Patterson symmetry
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.5, pp. 152-154 [ doi:10.1107/97809553602060000926 ]
Patterson symmetry 2.1.3.5. Patterson symmetry The entry Patterson symmetry in the headline gives the symmetry of the `vector set' generated by the operation of the space group on an arbitrary set of general positions. More prosaically, it may be described as the symmetry of the set of the interatomic vectors of ...
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.8, p. 158 [ doi:10.1107/97809553602060000926 ]
Diagrams of the general position (by K. Momma and M. I. Aroyo) 2.1.3.6.8. Diagrams of the general position (by K. Momma and M. I. Aroyo) Non-cubic space groups. In these diagrams, the `heights' of the points are z coordinates, except for monoclinic space groups with unique axis b where they ...
Cubic space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.7, p. 157 [ doi:10.1107/97809553602060000926 ]
Cubic space groups 2.1.3.6.7. Cubic space groups For each cubic space group, one projection of the symmetry elements along [001] is given, Fig. 2.1.3.10; for details of the diagrams, see Section 2.1.2 and Buerger (1956). For face-centred lattices F, only a quarter of the unit cell is shown; this ...
Trigonal R (rhombohedral) space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.6, p. 157 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Tetragonal, trigonal P and hexagonal P space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.5, p. 157 [ doi:10.1107/97809553602060000926 ]
Tetragonal, trigonal P and hexagonal P space groups 2.1.3.6.5. Tetragonal, trigonal P and hexagonal P space groups The pairs of diagrams for these space groups are similar to those in the previous editions of IT. Each pair consists of a general-position diagram (right) and a diagram of the symmetry elements ...
Orthorhombic space groups and orthorhombic settings
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.4, pp. 155-157 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Monoclinic space groups (cf. Sections 2.1.3.2 and 2.1.3.15)
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.3, p. 155 [ doi:10.1107/97809553602060000926 ]
Monoclinic space groups (cf. Sections 2.1.3.2 and 2.1.3.15) 2.1.3.6.3. Monoclinic space groups (cf. Sections 2.1.3.2 and 2.1.3.15) The `complete treatment' of each of the two settings contains four diagrams (Figs. 2.1.3.2 and 2.1.3.3). Three of them are projections of the symmetry elements, taken along the unique axis (upper left) and ...
Triclinic space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.2, pp. 154-155 [ doi:10.1107/97809553602060000926 ]
Triclinic space groups 2.1.3.6.2. Triclinic space groups For each of the two triclinic space groups, three elevations (along a, b and c) are given, in addition to the general-position diagram (projected along c) at the lower right of the set, as illustrated in Fig. 2.1.3.1. Figure 2.1.3.1 | | Triclinic space groups ...
Plane groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6.1, p. 154 [ doi:10.1107/97809553602060000926 ]
Plane groups 2.1.3.6.1. Plane groups Each description of a plane group contains two diagrams, one for the symmetry elements (left) and one for the general position (right). The two axes are labelled a and b, with a pointing downwards and b running from left to right. References International Tables for ...
Space-group diagrams
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.6, pp. 154-158 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Patterson symmetry
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.5, pp. 152-154 [ doi:10.1107/97809553602060000926 ]
Patterson symmetry 2.1.3.5. Patterson symmetry The entry Patterson symmetry in the headline gives the symmetry of the `vector set' generated by the operation of the space group on an arbitrary set of general positions. More prosaically, it may be described as the symmetry of the set of the interatomic vectors of ...
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