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Crystal lattices
Burzlaff, H., Grimmer, H., Gruber, B., Wolff, P. M. de and Zimmermann, H.  International Tables for Crystallography (2016). Vol. A, ch. 3.1, pp. 698-719 [ doi:10.1107/97809553602060000929 ]
... one basis to another is described by a transformation matrix P. The transformation of the old basis (a,b,c) to ... group symmetries (a) Two dimensions. Lattice point group22mm4mm6mm Crystal family† m o t h monoclinic (oblique) orthorhombic (rectangular) tetragonal (square) hexagonal (b) Three dimensions. Lattice point group Crystal family† a m o t h c anorthic (triclinic) monoclinic orthorhombic tetragonal ...

Lattice characters
Wolff, P. M. de  International Tables for Crystallography (2016). Vol. A, Section 3.1.3.5, pp. 712-713 [ doi:10.1107/97809553602060000929 ]
... adopted by the International Union of Crystallography in 1985; cf. de Wolff et al. (1985). The capital letter of the symbols ... character the corresponding interval of values of a suitable parameter p, expressed in the usual parameters of a conventional cell. ...
     [more results from section 3.1.3 in volume A]

Detectors for X-rays
Amemiya, Y., Arndt, U. W., Buras, B., Chikawa, J., Gerward, L., Langford, J. I., Parrish, W. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, ch. 7.1, pp. 618-638 [ doi:10.1107/97809553602060000604 ]
... very briefly in the second section of the chapter. Geiger-Müller counters are now obsolete for data collection, but are ... for X-ray detection; an intrinsic layer is sandwiched with p- and n-type thin layers and a high electric field ... individual X-ray photons with a spatial resolution of 6µm. The final section of the chapter discusses storage phosphors, ...

Incommensurate and commensurate modulated structures
Janssen, T., Janner, A., Looijenga-Vos, A. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, ch. 9.8, pp. 907-955 [ doi:10.1107/97809553602060000624 ]
... are presented and their use is illustrated with different examples. M* Vector module in m-dimensional reciprocal space (m = 1, 2, 3; normally m = 3), isomorphic to Z ...

The incommensurate versus the commensurate case
Janssen, T., Janner, A., Looijenga-Vos, A. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, Section 9.8.5.2, pp. 942-943 [ doi:10.1107/97809553602060000624 ]
... element of the three-dimensional space group are, respectively: for m, n, r, s integers and t real. These conditions are ... become possible. Because the one-to-one correspondence between * and M* is no longer present, there may occur symmetry elements with ...
     [more results from section 9.8.5 in volume C]

Structure factor
Janssen, T., Janner, A., Looijenga-Vos, A. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, Section 9.8.4.4.3, p. 941 [ doi:10.1107/97809553602060000624 ]
... The diffraction from incommensurate crystal structures has been treated by de Wolff (1974), Yamamoto (1982a,b), Paciorek & Kucharczyk (1985), Petricek, Coppens & Becker ... crystal structure. Acta Cryst. A41, 462-466. Perez-Mato, J. M., Madariaga, G. & Tello, M. J. (1986). Diffraction symmetry ...
     [more results from section 9.8.4 in volume C]

Ambiguities in the notation
Janssen, T., Janner, A., Looijenga-Vos, A. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, Section 9.8.3.6, pp. 936-937 [ doi:10.1107/97809553602060000624 ]
... h + k + l = even because of the centring and l + m = even and h + m = even for h0lm because of the two glide planes perpendicular ... gamma])c*, the new indices are h, k, l', and m' with l' = l + m and m' = -m. Then the ...
     [more results from section 9.8.3 in volume C]

Outline for a superspace-group determination
Janssen, T., Janner, A., Looijenga-Vos, A. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, Section 9.8.2, pp. 913-915 [ doi:10.1107/97809553602060000624 ]
... reflections can be written as with H, K, L, and m integer numbers. The basis obtained is the conventional basis for the M* module and corresponds to the choice of a conventional cell ... with , , as Because H = h, K = k, L/2 = l + m/2, and h, k and l are integers with ...

Occupation modulation
Janssen, T., Janner, A., Looijenga-Vos, A. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, Section 9.8.1.5, p. 913 [ doi:10.1107/97809553602060000624 ]
... and by one of type B with probability and that p is periodic. The probability of finding an A atom at ... H given by (9.8.1.7). For a simple sinusoidal modulation [m = ±1 in (9.8.1.29)], there are only main reflections and first-order satellites (m = ±1). One may introduce an additional coordinate t ...
     [more results from section 9.8.1 in volume C]

Incommensurate and commensurate modulated structures
Janssen, T., Janner, A., Looijenga-Vos, A. and Wolff, P. M. de  International Tables for Crystallography (2006). Vol. C, ch. 9.8, pp. 907-955 [ doi:10.1107/97809553602060000624 ]
... found in insulators as well (Tanisaki, 1961, 1963; Brouns, Visser & de Wolff, 1964). The remarkable morphological properties of calaverite could also ... case. In general, they are elements of a vector module M* and can be written as This leads to the ...

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