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Contents and arrangement of the tables
International Tables for Crystallography (2016). Vol. A, Section 2.1.3, pp. 150-172 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ... F., Buerger, M. J., Donnay, J. D. H., Fischer, W., Hahn, Th., Koptsik, V. A., Mackay, A. L., Wondratschek, H., ...
Monoclinic space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.15, pp. 169-172 [ doi:10.1107/97809553602060000926 ]
Monoclinic space groups 2.1.3.15. Monoclinic space groups In this volume, space groups are described by one (or at most two) conventional coordinate systems (cf. Sections 2.1.1.2 and 2.1.3.2). Eight monoclinic space groups, however, are treated more extensively. In order to provide descriptions for frequently encountered cases, they are given in ...
Symmetry of special projections
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.14, pp. 167-169 [ doi:10.1107/97809553602060000926 ]
Symmetry of special projections 2.1.3.14. Symmetry of special projections Projections of crystal structures are used by crystallographers in special cases. Use of so-called `two-dimensional data' (zero-layer intensities) results in the projection of a crystal structure along the normal to the reciprocal-lattice net. A detailed treatment of projections ...
Reflection conditions
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.13, pp. 163-167 [ doi:10.1107/97809553602060000926 ]
Reflection conditions 2.1.3.13. Reflection conditions The Reflection conditions4 are listed in the right-hand column of each Wyckoff position. These conditions are formulated here, in accordance with general practice, as `conditions of occurrence' (structure factor not systematically zero) and not as `extinctions' or `systematic absences' (structure factor zero). Reflection conditions ...
Oriented site-symmetry symbols
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.12, p. 163 [ doi:10.1107/97809553602060000926 ]
Oriented site-symmetry symbols 2.1.3.12. Oriented site-symmetry symbols The third column of each Wyckoff position gives the Site symmetry3 of that position. The site-symmetry group is isomorphic to a (proper or improper) subgroup of the point group to which the space group under consideration belongs. The site-symmetry groups ...
Positions
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.11, p. 162 [ doi:10.1107/97809553602060000926 ]
Positions 2.1.3.11. Positions The entries under Positions2 (more explicitly called Wyckoff positions) consist of the one General position (upper block) and the Special positions (blocks below). The columns in each block, from left to right, contain the following information for each Wyckoff position. (i) Multiplicity of the Wyckoff position. This ...
Generators
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.10, pp. 161-162 [ doi:10.1107/97809553602060000926 ]
Generators 2.1.3.10. Generators The line Generators selected states the symmetry operations and their sequence, selected to generate all symmetry-equivalent points of the General position from a point with coordinates x, y, z. Generating translations are listed as t(1, 0, 0), t(0, 1, 0), t(0, 0, 1); likewise ...
Symmetry operations
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.9, pp. 160-161 [ doi:10.1107/97809553602060000926 ]
Symmetry operations 2.1.3.9. Symmetry operations As explained in Sections 1.3.3.2 and 1.4.2.3 , the coordinate triplets of the General position of a space group may be interpreted as a shorthand description of the symmetry operations in matrix notation. The geometric description of the symmetry operations is found in the space-group tables ...
Asymmetric unit
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.8, pp. 159-160 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Origin
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.7, pp. 158-159 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
International Tables for Crystallography (2016). Vol. A, Section 2.1.3, pp. 150-172 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ... F., Buerger, M. J., Donnay, J. D. H., Fischer, W., Hahn, Th., Koptsik, V. A., Mackay, A. L., Wondratschek, H., ...
Monoclinic space groups
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.15, pp. 169-172 [ doi:10.1107/97809553602060000926 ]
Monoclinic space groups 2.1.3.15. Monoclinic space groups In this volume, space groups are described by one (or at most two) conventional coordinate systems (cf. Sections 2.1.1.2 and 2.1.3.2). Eight monoclinic space groups, however, are treated more extensively. In order to provide descriptions for frequently encountered cases, they are given in ...
Symmetry of special projections
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.14, pp. 167-169 [ doi:10.1107/97809553602060000926 ]
Symmetry of special projections 2.1.3.14. Symmetry of special projections Projections of crystal structures are used by crystallographers in special cases. Use of so-called `two-dimensional data' (zero-layer intensities) results in the projection of a crystal structure along the normal to the reciprocal-lattice net. A detailed treatment of projections ...
Reflection conditions
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.13, pp. 163-167 [ doi:10.1107/97809553602060000926 ]
Reflection conditions 2.1.3.13. Reflection conditions The Reflection conditions4 are listed in the right-hand column of each Wyckoff position. These conditions are formulated here, in accordance with general practice, as `conditions of occurrence' (structure factor not systematically zero) and not as `extinctions' or `systematic absences' (structure factor zero). Reflection conditions ...
Oriented site-symmetry symbols
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.12, p. 163 [ doi:10.1107/97809553602060000926 ]
Oriented site-symmetry symbols 2.1.3.12. Oriented site-symmetry symbols The third column of each Wyckoff position gives the Site symmetry3 of that position. The site-symmetry group is isomorphic to a (proper or improper) subgroup of the point group to which the space group under consideration belongs. The site-symmetry groups ...
Positions
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.11, p. 162 [ doi:10.1107/97809553602060000926 ]
Positions 2.1.3.11. Positions The entries under Positions2 (more explicitly called Wyckoff positions) consist of the one General position (upper block) and the Special positions (blocks below). The columns in each block, from left to right, contain the following information for each Wyckoff position. (i) Multiplicity of the Wyckoff position. This ...
Generators
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.10, pp. 161-162 [ doi:10.1107/97809553602060000926 ]
Generators 2.1.3.10. Generators The line Generators selected states the symmetry operations and their sequence, selected to generate all symmetry-equivalent points of the General position from a point with coordinates x, y, z. Generating translations are listed as t(1, 0, 0), t(0, 1, 0), t(0, 0, 1); likewise ...
Symmetry operations
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.9, pp. 160-161 [ doi:10.1107/97809553602060000926 ]
Symmetry operations 2.1.3.9. Symmetry operations As explained in Sections 1.3.3.2 and 1.4.2.3 , the coordinate triplets of the General position of a space group may be interpreted as a shorthand description of the symmetry operations in matrix notation. The geometric description of the symmetry operations is found in the space-group tables ...
Asymmetric unit
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.8, pp. 159-160 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
Origin
International Tables for Crystallography (2016). Vol. A, Section 2.1.3.7, pp. 158-159 [ doi:10.1107/97809553602060000926 ]
... for Crystallography (2002). Vol. A, 5th ed., edited by Th. Hahn. Dordrecht: Kluwer Academic Publishers. [Abbreviated as IT A (2002). ...
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