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 Results for DC.creator="A." AND DC.creator="Looijenga-Vos" in section 2.1.3 of volume A   page 1 of 3 pages.
Contents and arrangement of the tables
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3, pp. 150-172 [ doi:10.1107/97809553602060000926 ]
... are displayed on one page or on two facing pages. A typical distribution of the data is shown below and is ... the oriented site-symmetry symbol Coordinates Reflection conditions Note: In a few space groups, two special positions with the same reflection ... in tilted projection are shown on the fourth page, providing a three-dimensional-style view of these complicated general-position ...

Monoclinic space groups
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.15, pp. 169-172 [ doi:10.1107/97809553602060000926 ]
... cases, they are given in six versions. The description of a monoclinic crystal structure in this volume, including its Hermann-Mauguin ... two shorter vectors span the `reduced mesh' (where mesh means a two-dimensional unit cell), here e and f; for this ... vectors in the monoclinic plane are possible, provided they span a primitive mesh. It turns out, however, that the space- ...

Symmetry of special projections
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.14, pp. 167-169 [ doi:10.1107/97809553602060000926 ]
... 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 of space groups, including basic definitions ... given in Section 1.4.5.3 . Even though the projection of a finite object along any direction may be useful, the ...

Reflection conditions
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.13, pp. 163-167 [ doi:10.1107/97809553602060000926 ]
... irrespective of which Wyckoff positions are occupied by atoms in a particular crystal structure. (2) Special conditions (`extra' conditions). They ... from the centring vectors of centred cells. They disappear if a primitive cell is chosen instead of a centred cell. Note that the centring symbol and the ...

Oriented site-symmetry symbols
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.12, p. 163 [ doi:10.1107/97809553602060000926 ]
... of that position. The site-symmetry group is isomorphic to a (proper or improper) subgroup of the point group to which ... by the same site-symmetry symbol. (See Section 1.4.4 for a detailed discussion of site-symmetry groups.) Oriented site-symmetry symbols ... 1973 ) are employed to show how the symmetry elements at a site are related to the symmetry elements of the ...

Positions
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.11, p. 162 [ doi:10.1107/97809553602060000926 ]
... or 4) of lattice points per cell. The multiplicity of a special position is always a divisor of the multiplicity of the general position and the ... site-symmetry group. (ii) Wyckoff letter. This letter is merely a coding scheme for the Wyckoff positions, starting with a ...

Generators
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.10, pp. 161-162 [ doi:10.1107/97809553602060000926 ]
... generate all symmetry-equivalent points of the General position from a point with coordinates x, y, z. Generating translations are listed ... if necessary, by those of the centring translations, e.g. for a C-centred lattice. In this way, point x, y, z ... 1) x, y, z, the operation (2) which stands for a twofold screw rotation around the axis 0, y, generates ...

Symmetry operations
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.9, pp. 160-161 [ doi:10.1107/97809553602060000926 ]
... 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 ... listed coordinate triplet of the general position is preceded by a number between parentheses (p). The same number (p) ...

Asymmetric unit
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.8, pp. 159-160 [ doi:10.1107/97809553602060000926 ]
Asymmetric unit 2.1.3.8. Asymmetric unit An asymmetric unit of a space group is a (simply connected) smallest closed part of space from which, by ... form boundary planes and boundary edges of the asymmetric unit. A twofold rotation axis may bisect a boundary plane. Centres ...

Origin
Hahn, Th. and Looijenga-Vos, A.  International Tables for Crystallography (2016). Vol. A, Section 2.1.3.7, pp. 158-159 [ doi:10.1107/97809553602060000926 ]
... of direct methods are greatly facilitated by the choice of a suitable origin and its proper identification. This is even more ... this volume, as well as in IT (1952) and IT A (2002) , the origin of the unit cell has been chosen ... space groups are described with an inversion centre as origin. A further description is given if a centrosymmetric space group ...

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