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Results for DC.creator="H." AND DC.creator="Klapper" in section 3.3.11 of volume D page 1 of 2 pages. |
Effect of twinning in reciprocal space
International Tables for Crystallography (2013). Vol. D, Section 3.3.11, pp. 469-477 [ doi:10.1107/97809553602060000917 ]
... characterized in Appendices A and D (Tables 7-9) of Klapper & Hahn (2010). Note the large number of twin laws ... violations' of the extinctions in the {0kl} reflection sets, cf. Klapper & Hahn (2012), p. 83. Note that this `violation' occurs for ... face forms) and their use, with examples, is presented by Klapper & Hahn (2010). Their Table 9 lists the three ` ...
Example: pseudohexagonal (cyclic) twins of orthorhombic crystals (pseudo-coincident [Sigma]3 twins)
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5.2, pp. 475-477 [ doi:10.1107/97809553602060000917 ]
... two sets of reflections are distinguished: (a) Reflections hkl with h + k = 2N: for exact hexagonal metric with these reflections of ... crosses) and domain 3 (open circles). Lattice points with h + k = 2N are threefold coincident, the others are single. This ... 310) and in reciprocal space, respectively. (b) Reflections hkl with h + k = 2N + 1: these are `single' for each domain ...
General remarks
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5.1, pp. 474-475 [ doi:10.1107/97809553602060000917 ]
General remarks 3.3.11.5.1. General remarks This type of twins includes both pseudo-merohedral [Sigma]1 and [Sigma]m > 1 twins. It refers to small deviations from strict full or partial lattice coincidence of the twin partners. Pseudo-merohedral twins occur if metrical (but not necessary structural) pseudosymmetries occur in a crystal ...
Pseudo-merohedral twins
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5, pp. 474-477 [ doi:10.1107/97809553602060000917 ]
... two sets of reflections are distinguished: (a) Reflections hkl with h + k = 2N: for exact hexagonal metric with these reflections of ... crosses) and domain 3 (open circles). Lattice points with h + k = 2N are threefold coincident, the others are single. This ... 310) and in reciprocal space, respectively. (b) Reflections hkl with h + k = 2N + 1: these are `single' for each domain ...
The four [Sigma]m merohedral twin families
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4.2, pp. 472-474 [ doi:10.1107/97809553602060000917 ]
... of these twin laws see Tables 12 and 13 of Klapper & Hahn, 2012). All these twin laws transform an obverse rhombohedron with integral reflection conditions -h + k + l = 3n into a reverse rhombohedron with reflection conditions h -k + l = 3n and vice versa. These four twin ...
General survey
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4.1, pp. 471-472 [ doi:10.1107/97809553602060000917 ]
... Crystal Structure Analysis, especially ch. 3. New York: Wiley. Grimmer, H. (1989a). Systematic determination of coincidence orientations for all hexagonal ... in a given interval. Acta Cryst. A45, 320-325. Grimmer, H. (1989b). Coincidence orientations of grains in rhombohedral materials. Acta Cryst. A45, 505-523. Grimmer, H. (2003). Determination of all misorientations of tetragonal lattices ...
Twinning by reticular merohedry (partially-parallel-lattice twins, [Sigma] > 1 merohedral twins)
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4, pp. 471-474 [ doi:10.1107/97809553602060000917 ]
... of these twin laws see Tables 12 and 13 of Klapper & Hahn, 2012). All these twin laws transform an obverse rhombohedron with integral reflection conditions -h + k + l = 3n into a reverse rhombohedron with reflection conditions h -k + l = 3n and vice versa. These four twin ...
Twinning by (strict) merohedry (parallel-lattice twins, [Sigma]1 merohedral twins)
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.3, pp. 470-471 [ doi:10.1107/97809553602060000917 ]
... characterized in Appendices A and D (Tables 7-9) of Klapper & Hahn (2010). Note the large number of twin laws ... violations' of the extinctions in the {0kl} reflection sets, cf. Klapper & Hahn (2012), p. 83. Note that this `violation' occurs for ... face forms) and their use, with examples, is presented by Klapper & Hahn (2010). Their Table 9 lists the three ` ...
General (non-merohedral, inclined-lattice) twins
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.2, p. 470 [ doi:10.1107/97809553602060000917 ]
... obverse/reverse twins. Acta Cryst. B58, 477-481. Herbstein, F. H. (1965). Twinned crystals. III. [gamma]-o-Nitroaniline. Acta Cryst. ...
Basic features of twin diffraction records
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.1, pp. 469-470 [ doi:10.1107/97809553602060000917 ]
Basic features of twin diffraction records 3.3.11.1. Basic features of twin diffraction records In the following, the basic features of the diffraction patterns of twins are summarized. They hold for any type of twin and even for intergrowths with any orientation relation, e.g. bicrystals or irregular grain assemblies. (i) Whereas in ...
International Tables for Crystallography (2013). Vol. D, Section 3.3.11, pp. 469-477 [ doi:10.1107/97809553602060000917 ]
... characterized in Appendices A and D (Tables 7-9) of Klapper & Hahn (2010). Note the large number of twin laws ... violations' of the extinctions in the {0kl} reflection sets, cf. Klapper & Hahn (2012), p. 83. Note that this `violation' occurs for ... face forms) and their use, with examples, is presented by Klapper & Hahn (2010). Their Table 9 lists the three ` ...
Example: pseudohexagonal (cyclic) twins of orthorhombic crystals (pseudo-coincident [Sigma]3 twins)
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5.2, pp. 475-477 [ doi:10.1107/97809553602060000917 ]
... two sets of reflections are distinguished: (a) Reflections hkl with h + k = 2N: for exact hexagonal metric with these reflections of ... crosses) and domain 3 (open circles). Lattice points with h + k = 2N are threefold coincident, the others are single. This ... 310) and in reciprocal space, respectively. (b) Reflections hkl with h + k = 2N + 1: these are `single' for each domain ...
General remarks
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5.1, pp. 474-475 [ doi:10.1107/97809553602060000917 ]
General remarks 3.3.11.5.1. General remarks This type of twins includes both pseudo-merohedral [Sigma]1 and [Sigma]m > 1 twins. It refers to small deviations from strict full or partial lattice coincidence of the twin partners. Pseudo-merohedral twins occur if metrical (but not necessary structural) pseudosymmetries occur in a crystal ...
Pseudo-merohedral twins
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.5, pp. 474-477 [ doi:10.1107/97809553602060000917 ]
... two sets of reflections are distinguished: (a) Reflections hkl with h + k = 2N: for exact hexagonal metric with these reflections of ... crosses) and domain 3 (open circles). Lattice points with h + k = 2N are threefold coincident, the others are single. This ... 310) and in reciprocal space, respectively. (b) Reflections hkl with h + k = 2N + 1: these are `single' for each domain ...
The four [Sigma]m merohedral twin families
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4.2, pp. 472-474 [ doi:10.1107/97809553602060000917 ]
... of these twin laws see Tables 12 and 13 of Klapper & Hahn, 2012). All these twin laws transform an obverse rhombohedron with integral reflection conditions -h + k + l = 3n into a reverse rhombohedron with reflection conditions h -k + l = 3n and vice versa. These four twin ...
General survey
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4.1, pp. 471-472 [ doi:10.1107/97809553602060000917 ]
... Crystal Structure Analysis, especially ch. 3. New York: Wiley. Grimmer, H. (1989a). Systematic determination of coincidence orientations for all hexagonal ... in a given interval. Acta Cryst. A45, 320-325. Grimmer, H. (1989b). Coincidence orientations of grains in rhombohedral materials. Acta Cryst. A45, 505-523. Grimmer, H. (2003). Determination of all misorientations of tetragonal lattices ...
Twinning by reticular merohedry (partially-parallel-lattice twins, [Sigma] > 1 merohedral twins)
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.4, pp. 471-474 [ doi:10.1107/97809553602060000917 ]
... of these twin laws see Tables 12 and 13 of Klapper & Hahn, 2012). All these twin laws transform an obverse rhombohedron with integral reflection conditions -h + k + l = 3n into a reverse rhombohedron with reflection conditions h -k + l = 3n and vice versa. These four twin ...
Twinning by (strict) merohedry (parallel-lattice twins, [Sigma]1 merohedral twins)
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.3, pp. 470-471 [ doi:10.1107/97809553602060000917 ]
... characterized in Appendices A and D (Tables 7-9) of Klapper & Hahn (2010). Note the large number of twin laws ... violations' of the extinctions in the {0kl} reflection sets, cf. Klapper & Hahn (2012), p. 83. Note that this `violation' occurs for ... face forms) and their use, with examples, is presented by Klapper & Hahn (2010). Their Table 9 lists the three ` ...
General (non-merohedral, inclined-lattice) twins
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.2, p. 470 [ doi:10.1107/97809553602060000917 ]
... obverse/reverse twins. Acta Cryst. B58, 477-481. Herbstein, F. H. (1965). Twinned crystals. III. [gamma]-o-Nitroaniline. Acta Cryst. ...
Basic features of twin diffraction records
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.1, pp. 469-470 [ doi:10.1107/97809553602060000917 ]
Basic features of twin diffraction records 3.3.11.1. Basic features of twin diffraction records In the following, the basic features of the diffraction patterns of twins are summarized. They hold for any type of twin and even for intergrowths with any orientation relation, e.g. bicrystals or irregular grain assemblies. (i) Whereas in ...
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