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General survey
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4.1, p. [ doi:10.1107/97809553602060000917 ]
twins will be referred to the reciprocal coincidence lattice with basis vectors a m *, b m *, c m * (cf . Figs. 3.3.11.1 –6) and not to the lattice of one twin component. This coordinate system has the great advantage ...

The four Σm merohedral twin families
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4.2, p. [ doi:10.1107/97809553602060000917 ]
n + 2 layers (hexagonal axes) of the reciprocal twin lattice are given in Figs. 3.3.11.1 and 3.3.11.2 . One realizes that for l = 3 n only doubly coincident and doubly extinct [types (i) and (iv)] but no single reflections ...

Effect of twinning in reciprocal space
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11, p. [ doi:10.1107/97809553602060000917 ]
(partially split) reflections; Section 3.3.11.5 . 3.3.11.2. General (non-merohedral, inclined-lattice) twins | top | pdf | This case refers to the most general type of twin, where the lattices of the two twin ...

General remarks
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5.1, p. [ doi:10.1107/97809553602060000917 ]
of the larger twin partner), however, the structure can often be solved, as described in Section 3.3.11.2 . (iii) A problem is also provided by twins in which all (or nearly all) reflections of the diffraction record overlap, but are not fully ...

Twinning by reticular merohedry (partially-parallel-lattice twins, Σ > 1 merohedral twins)
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4, p. [ doi:10.1107/97809553602060000917 ]
l = 3 n + 1, l = 3 n + 2 layers (hexagonal axes) of the reciprocal twin lattice are given in Figs. 3.3.11.1 and 3.3.11.2 . One realizes that for l = 3 n only doubly coincident and doubly extinct [types (i ...

Programs for structure determinations with twinned crystals
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.6, p. [ doi:10.1107/97809553602060000917 ]
of obverse/reverse twins. Acta Cryst. B 58, 477–481. Google Scholar Kahlenberg, V. & Messner, T. (2001). TWIN3.0 – a program for testing twinning by merohedry. J. Appl. Cryst. 34, 405. Google Scholar Klapper, H ...

General (non-merohedral, inclined-lattice) twins
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.2, p. [ doi:10.1107/97809553602060000917 ]
...

Pseudo-merohedral twins
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5, p. [ doi:10.1107/97809553602060000917 ]
in Fig. 3.3.11.7 (b). It shows single (h + k = 2 N + 1) and triply coincident (h + k = 2 N) lattice points, as derived by the above transformations. Figs. 3.3.11.8 (a, b) present an illustration of the diffraction ...

Basic features of twin diffraction records
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.1, p. [ doi:10.1107/97809553602060000917 ]
'; Section 3.3.11.2 . (b) Twins by (strict) merohedry (parallel-lattice Σ1 twins): complete and exact overlap (coincidence) of the individual twin-related diffraction patterns, no `split reflections'; Section 3.3.11.3 ...

Example: pseudohexagonal (cyclic) twins of ortho­rhombic crystals (pseudo-coincident Σ3 twins)
Hahn, Th. and Klapper, H., International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5.2, p. [ doi:10.1107/97809553602060000917 ]
(a), however with exact b / a = tan 60°, is presented in Fig. 3.3.11.7 (b). It shows single (h + k = 2 N + 1) and triply coincident (h + k = 2 N) lattice points, as derived by the above transformations. Figs. 3.3.11.8 ...

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