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Enlarged unit cell, index 3 or 4
International Tables for Crystallography (2011). Vol. A1, Section 2.1.4.3.2, pp. 81-82 [ doi:10.1107/97809553602060000797 ]
... a) Trigonal space groups with hexagonal P lattice: (i) , (ii) H-centring, (iii) , R lattice, (iv) , R lattice, (v) . (b ... axes: (i) , (ii) . (6) Hexagonal space groups: (i) , (ii) H-centring, (iii) . (7) Cubic space groups with P lattice ...
[more results from section 2.1.4 in volume A1]
Basis transformation and origin shift
International Tables for Crystallography (2011). Vol. A1, Section 2.1.3.3, pp. 77-79 [ doi:10.1107/97809553602060000797 ]
Basis transformation and origin shift 2.1.3.3. Basis transformation and origin shift Each t-subgroup is defined by its representatives, listed under `sequence' by numbers each of which designates an element of . These elements form the general position of . They are taken from the general position of and, therefore, are ...
[more results from section 2.1.3 in volume A1]
Space groups with a rhombohedral lattice
International Tables for Crystallography (2011). Vol. A1, Section 2.1.2.5.3, pp. 75-76 [ doi:10.1107/97809553602060000797 ]
Space groups with a rhombohedral lattice 2.1.2.5.3. Space groups with a rhombohedral lattice The seven trigonal space groups with a rhombohedral lattice are often called rhombohedral space groups. Their HM symbols begin with the lattice letter R and they are listed with both hexagonal axes and rhombohedral axes. Rules (a) A ...
[more results from section 2.1.2 in volume A1]
Contents and arrangement of the subgroup tables
International Tables for Crystallography (2011). Vol. A1, Section 2.1.1, p. 72 [ doi:10.1107/97809553602060000797 ]
Contents and arrangement of the subgroup tables 2.1.1. Contents and arrangement of the subgroup tables In this chapter, the subgroup tables, the subgroup graphs and their general organization are discussed. In the following sections, the different types of data are explained in detail. For every plane group and every space group ...
Guide to the subgroup tables and graphs
International Tables for Crystallography (2011). Vol. A1, ch. 2.1, pp. 72-96 [ doi:10.1107/97809553602060000797 ]
... if the sublattice of is nonconventionally centred. Examples are the H-centred subgroups of trigonal and hexagonal space groups. The sequence ... a) Trigonal space groups with hexagonal P lattice: (i) , (ii) H-centring, (iii) , R lattice, (iv) , R lattice, (v) . (b ... axes: (i) , (ii) . (6) Hexagonal space groups: (i) , (ii) H-centring, (iii) . (7) Cubic space groups with P ...
The program WYCKSPLIT
International Tables for Crystallography (2011). Vol. A1, Section 1.7.4.1, pp. 67-68 [ doi:10.1107/97809553602060000796 ]
... the site-symmetry groups and of a point in and (Wondratschek, 1993; see also Section 1.5.3 ). The determination of the ... of freedom corresponding to the variable parameter of . References Wondratschek, H. (1993). Splitting of Wyckoff positions (orbits). Mineral. ...
[more results from section 1.7.4 in volume A1]
The program COMMONSUPER
International Tables for Crystallography (2011). Vol. A1, Section 1.7.3.2.3, p. 66 [ doi:10.1107/97809553602060000796 ]
The program COMMONSUPER 1.7.3.2.3. The program COMMONSUPER The program COMMONSUPER calculates the space-group types of common supergroups of two space groups and for a given maximal lattice index . The procedure used is analogous to the one implemented in the program COMMONSUBS (cf. Section 1.7.3.1.5). The two sets of ...
[more results from section 1.7.3 in volume A1]
Maximal isomorphic subgroups
International Tables for Crystallography (2011). Vol. A1, Section 1.7.2.2.2, p. 58 [ doi:10.1107/97809553602060000796 ]
Maximal isomorphic subgroups 1.7.2.2.2. Maximal isomorphic subgroups Maximal subgroups of index higher than 4 have indices p, p2 or p3, where p is a prime. They are isomorphic subgroups and are infinite in number. In IT A1, the isomorphic subgroups are listed as members of series under the heading `Series of ...
[more results from section 1.7.2 in volume A1]
Introduction
International Tables for Crystallography (2011). Vol. A1, Section 1.7.1, p. 57 [ doi:10.1107/97809553602060000796 ]
... M. I., Kirov, A., Capillas, C., Perez-Mato, J. M. & Wondratschek, H. (2006). Bilbao Crystallographic Server. II. Representations of crystallographic point ... Capillas, C., Kroumova, E., Ivantchev, S., Madariaga, G., Kirov, A. & Wondratschek, H. (2006). Bilbao Crystallographic Server: I. Databases and ...
The Bilbao Crystallographic Server
International Tables for Crystallography (2011). Vol. A1, ch. 1.7, pp. 57-69 [ doi:10.1107/97809553602060000796 ]
... treating the supergroups of space groups in detail (Koch, 1984; Wondratschek & Aroyo, 2001). In IT A one finds only listings ... pair of space groups have been treated in detail by Wondratschek (1993) (see also Section 1.5.3 ). A compilation of the ... the site-symmetry groups and of a point in and (Wondratschek, 1993; see also Section 1.5.3 ). The determination of ...
International Tables for Crystallography (2011). Vol. A1, Section 2.1.4.3.2, pp. 81-82 [ doi:10.1107/97809553602060000797 ]
... a) Trigonal space groups with hexagonal P lattice: (i) , (ii) H-centring, (iii) , R lattice, (iv) , R lattice, (v) . (b ... axes: (i) , (ii) . (6) Hexagonal space groups: (i) , (ii) H-centring, (iii) . (7) Cubic space groups with P lattice ...
[more results from section 2.1.4 in volume A1]
Basis transformation and origin shift
International Tables for Crystallography (2011). Vol. A1, Section 2.1.3.3, pp. 77-79 [ doi:10.1107/97809553602060000797 ]
Basis transformation and origin shift 2.1.3.3. Basis transformation and origin shift Each t-subgroup is defined by its representatives, listed under `sequence' by numbers each of which designates an element of . These elements form the general position of . They are taken from the general position of and, therefore, are ...
[more results from section 2.1.3 in volume A1]
Space groups with a rhombohedral lattice
International Tables for Crystallography (2011). Vol. A1, Section 2.1.2.5.3, pp. 75-76 [ doi:10.1107/97809553602060000797 ]
Space groups with a rhombohedral lattice 2.1.2.5.3. Space groups with a rhombohedral lattice The seven trigonal space groups with a rhombohedral lattice are often called rhombohedral space groups. Their HM symbols begin with the lattice letter R and they are listed with both hexagonal axes and rhombohedral axes. Rules (a) A ...
[more results from section 2.1.2 in volume A1]
Contents and arrangement of the subgroup tables
International Tables for Crystallography (2011). Vol. A1, Section 2.1.1, p. 72 [ doi:10.1107/97809553602060000797 ]
Contents and arrangement of the subgroup tables 2.1.1. Contents and arrangement of the subgroup tables In this chapter, the subgroup tables, the subgroup graphs and their general organization are discussed. In the following sections, the different types of data are explained in detail. For every plane group and every space group ...
Guide to the subgroup tables and graphs
International Tables for Crystallography (2011). Vol. A1, ch. 2.1, pp. 72-96 [ doi:10.1107/97809553602060000797 ]
... if the sublattice of is nonconventionally centred. Examples are the H-centred subgroups of trigonal and hexagonal space groups. The sequence ... a) Trigonal space groups with hexagonal P lattice: (i) , (ii) H-centring, (iii) , R lattice, (iv) , R lattice, (v) . (b ... axes: (i) , (ii) . (6) Hexagonal space groups: (i) , (ii) H-centring, (iii) . (7) Cubic space groups with P ...
The program WYCKSPLIT
International Tables for Crystallography (2011). Vol. A1, Section 1.7.4.1, pp. 67-68 [ doi:10.1107/97809553602060000796 ]
... the site-symmetry groups and of a point in and (Wondratschek, 1993; see also Section 1.5.3 ). The determination of the ... of freedom corresponding to the variable parameter of . References Wondratschek, H. (1993). Splitting of Wyckoff positions (orbits). Mineral. ...
[more results from section 1.7.4 in volume A1]
The program COMMONSUPER
International Tables for Crystallography (2011). Vol. A1, Section 1.7.3.2.3, p. 66 [ doi:10.1107/97809553602060000796 ]
The program COMMONSUPER 1.7.3.2.3. The program COMMONSUPER The program COMMONSUPER calculates the space-group types of common supergroups of two space groups and for a given maximal lattice index . The procedure used is analogous to the one implemented in the program COMMONSUBS (cf. Section 1.7.3.1.5). The two sets of ...
[more results from section 1.7.3 in volume A1]
Maximal isomorphic subgroups
International Tables for Crystallography (2011). Vol. A1, Section 1.7.2.2.2, p. 58 [ doi:10.1107/97809553602060000796 ]
Maximal isomorphic subgroups 1.7.2.2.2. Maximal isomorphic subgroups Maximal subgroups of index higher than 4 have indices p, p2 or p3, where p is a prime. They are isomorphic subgroups and are infinite in number. In IT A1, the isomorphic subgroups are listed as members of series under the heading `Series of ...
[more results from section 1.7.2 in volume A1]
Introduction
International Tables for Crystallography (2011). Vol. A1, Section 1.7.1, p. 57 [ doi:10.1107/97809553602060000796 ]
... M. I., Kirov, A., Capillas, C., Perez-Mato, J. M. & Wondratschek, H. (2006). Bilbao Crystallographic Server. II. Representations of crystallographic point ... Capillas, C., Kroumova, E., Ivantchev, S., Madariaga, G., Kirov, A. & Wondratschek, H. (2006). Bilbao Crystallographic Server: I. Databases and ...
The Bilbao Crystallographic Server
International Tables for Crystallography (2011). Vol. A1, ch. 1.7, pp. 57-69 [ doi:10.1107/97809553602060000796 ]
... treating the supergroups of space groups in detail (Koch, 1984; Wondratschek & Aroyo, 2001). In IT A one finds only listings ... pair of space groups have been treated in detail by Wondratschek (1993) (see also Section 1.5.3 ). A compilation of the ... the site-symmetry groups and of a point in and (Wondratschek, 1993; see also Section 1.5.3 ). The determination of ...
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