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Programs for structure determinations with twinned crystals
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.6, p. 477 [ doi:10.1107/97809553602060000917 ]
... twins are, among others, SFLS (Eitel & Bärnighausen, 1986), TWINXLI (Hahn & Massa, 1997), TWIN 3.0 (Kahlenberg & Messner, 2001), CRYSTALS 12 (Betteridge ... 7 merohedral twins are contained in two publications by Klapper & Hahn (2010, 2012). References Betteridge, P. W., Carruthers, J. R. ... a pseudo-merohedrally twinned crystal. Acta Cryst. B68, 150-157. Hahn, F. & Massa, W. (1997). TWINXL, Programm zur Aufbereitung ...
[more results from section 3.3.11 in volume D]
Coherent and incoherent twin interfaces
International Tables for Crystallography (2013). Vol. D, Section 3.3.10.9, pp. 468-469 [ doi:10.1107/97809553602060000917 ]
Coherent and incoherent twin interfaces 3.3.10.9. Coherent and incoherent twin interfaces At the start of Section 3.3.10, the terms compatible and incompatible twin boundaries were introduced and clearly defined. There exists another pair of terms, coherent and incoherent interfaces, which are predominantly used in bicrystallography and metallurgy for the characterization of ...
[more results from section 3.3.10 in volume D]
Pseudo-merohedry and ferroelasticity
International Tables for Crystallography (2013). Vol. D, Section 3.3.9.3, p. 450 [ doi:10.1107/97809553602060000917 ]
Pseudo-merohedry and ferroelasticity 3.3.9.3. Pseudo-merohedry and ferroelasticity The large group of pseudo-merohedral twins (irrespective of their lattice index) contains a very important subset which is characterized by the physical property ferroelasticity. Ferroelastic twins result from a real or virtual phase transition involving a change of the crystal family ...
[more results from section 3.3.9 in volume D]
Conclusions
International Tables for Crystallography (2013). Vol. D, Section 3.3.8.7, p. 446 [ doi:10.1107/97809553602060000917 ]
Conclusions 3.3.8.7. Conclusions In conclusion, the lattice theory of twinning, presented in this section, can be summarized as follows: (i) The lattice theory represents one of the first systematic theories of twinning; it is based on a clear and well defined concept and thus has found widespread acceptance, especially for the ...
[more results from section 3.3.8 in volume D]
Mechanical twinning
International Tables for Crystallography (2013). Vol. D, Section 3.3.7.3, pp. 439-440 [ doi:10.1107/97809553602060000917 ]
Mechanical twinning 3.3.7.3. Mechanical twinning Under mechanical load, some crystals can be `switched' - partly or completely - from one orientation state into another. This change frequently proceeds in steps by the switching of domains. As a rule, the new orientation is related to the original one by an operation that obeys the ...
[more results from section 3.3.7 in volume D]
Twins of twins
International Tables for Crystallography (2013). Vol. D, Section 3.3.6.16, pp. 435-436 [ doi:10.1107/97809553602060000917 ]
... PhD thesis, Institut für Kristallographie, RWTH Aachen. Klapper, H., Hahn, Th. & Chung, S. J. (1987). Optical, pyroelectric and X-ray ...
[more results from section 3.3.6 in volume D]
Description of the twin law by black-white symmetry
International Tables for Crystallography (2013). Vol. D, Section 3.3.5, p. 423 [ doi:10.1107/97809553602060000917 ]
Description of the twin law by black-white symmetry 3.3.5. Description of the twin law by black-white symmetry An alternative description of twinning employs the symbolism of colour symmetry. This method was introduced by Curien & Le Corre (1958) and by Curien & Donnay (1959). In this approach, a colour is ...
Categories of composite symmetries
International Tables for Crystallography (2013). Vol. D, Section 3.3.4.4, pp. 422-423 [ doi:10.1107/97809553602060000917 ]
Categories of composite symmetries 3.3.4.4. Categories of composite symmetries After this preparatory introduction, the three categories of composite symmetry are treated. (i) Crystallographic composite symmetry. According to case (I) above, only the following three types of twins have crystallographic composite symmetry with two orientation states, one coset and, hence, one twin ...
[more results from section 3.3.4 in volume D]
Morphological classification
International Tables for Crystallography (2013). Vol. D, Section 3.3.3.1, p. 419 [ doi:10.1107/97809553602060000917 ]
Morphological classification 3.3.3.1. Morphological classification The morphology of twinned crystals, even for the same species and the same orientation relation, can be quite variable. For a given orientation relation the morphology depends on the geometry of the twin boundary as well as on the number of twin partners. A typical morphological ...
[more results from section 3.3.3 in volume D]
Notes on the definition of twinning
International Tables for Crystallography (2013). Vol. D, Section 3.3.2.4, pp. 417-418 [ doi:10.1107/97809553602060000917 ]
... des Fe4Al13. J. Alloy. Compd. 198, 91-100. Klapper, H., Hahn, Th. & Chung, S. J. (1987). Optical, pyroelectric and X-ray ...
[more results from section 3.3.2 in volume D]
International Tables for Crystallography (2013). Vol. D, Section 3.3.11.6, p. 477 [ doi:10.1107/97809553602060000917 ]
... twins are, among others, SFLS (Eitel & Bärnighausen, 1986), TWINXLI (Hahn & Massa, 1997), TWIN 3.0 (Kahlenberg & Messner, 2001), CRYSTALS 12 (Betteridge ... 7 merohedral twins are contained in two publications by Klapper & Hahn (2010, 2012). References Betteridge, P. W., Carruthers, J. R. ... a pseudo-merohedrally twinned crystal. Acta Cryst. B68, 150-157. Hahn, F. & Massa, W. (1997). TWINXL, Programm zur Aufbereitung ...
[more results from section 3.3.11 in volume D]
Coherent and incoherent twin interfaces
International Tables for Crystallography (2013). Vol. D, Section 3.3.10.9, pp. 468-469 [ doi:10.1107/97809553602060000917 ]
Coherent and incoherent twin interfaces 3.3.10.9. Coherent and incoherent twin interfaces At the start of Section 3.3.10, the terms compatible and incompatible twin boundaries were introduced and clearly defined. There exists another pair of terms, coherent and incoherent interfaces, which are predominantly used in bicrystallography and metallurgy for the characterization of ...
[more results from section 3.3.10 in volume D]
Pseudo-merohedry and ferroelasticity
International Tables for Crystallography (2013). Vol. D, Section 3.3.9.3, p. 450 [ doi:10.1107/97809553602060000917 ]
Pseudo-merohedry and ferroelasticity 3.3.9.3. Pseudo-merohedry and ferroelasticity The large group of pseudo-merohedral twins (irrespective of their lattice index) contains a very important subset which is characterized by the physical property ferroelasticity. Ferroelastic twins result from a real or virtual phase transition involving a change of the crystal family ...
[more results from section 3.3.9 in volume D]
Conclusions
International Tables for Crystallography (2013). Vol. D, Section 3.3.8.7, p. 446 [ doi:10.1107/97809553602060000917 ]
Conclusions 3.3.8.7. Conclusions In conclusion, the lattice theory of twinning, presented in this section, can be summarized as follows: (i) The lattice theory represents one of the first systematic theories of twinning; it is based on a clear and well defined concept and thus has found widespread acceptance, especially for the ...
[more results from section 3.3.8 in volume D]
Mechanical twinning
International Tables for Crystallography (2013). Vol. D, Section 3.3.7.3, pp. 439-440 [ doi:10.1107/97809553602060000917 ]
Mechanical twinning 3.3.7.3. Mechanical twinning Under mechanical load, some crystals can be `switched' - partly or completely - from one orientation state into another. This change frequently proceeds in steps by the switching of domains. As a rule, the new orientation is related to the original one by an operation that obeys the ...
[more results from section 3.3.7 in volume D]
Twins of twins
International Tables for Crystallography (2013). Vol. D, Section 3.3.6.16, pp. 435-436 [ doi:10.1107/97809553602060000917 ]
... PhD thesis, Institut für Kristallographie, RWTH Aachen. Klapper, H., Hahn, Th. & Chung, S. J. (1987). Optical, pyroelectric and X-ray ...
[more results from section 3.3.6 in volume D]
Description of the twin law by black-white symmetry
International Tables for Crystallography (2013). Vol. D, Section 3.3.5, p. 423 [ doi:10.1107/97809553602060000917 ]
Description of the twin law by black-white symmetry 3.3.5. Description of the twin law by black-white symmetry An alternative description of twinning employs the symbolism of colour symmetry. This method was introduced by Curien & Le Corre (1958) and by Curien & Donnay (1959). In this approach, a colour is ...
Categories of composite symmetries
International Tables for Crystallography (2013). Vol. D, Section 3.3.4.4, pp. 422-423 [ doi:10.1107/97809553602060000917 ]
Categories of composite symmetries 3.3.4.4. Categories of composite symmetries After this preparatory introduction, the three categories of composite symmetry are treated. (i) Crystallographic composite symmetry. According to case (I) above, only the following three types of twins have crystallographic composite symmetry with two orientation states, one coset and, hence, one twin ...
[more results from section 3.3.4 in volume D]
Morphological classification
International Tables for Crystallography (2013). Vol. D, Section 3.3.3.1, p. 419 [ doi:10.1107/97809553602060000917 ]
Morphological classification 3.3.3.1. Morphological classification The morphology of twinned crystals, even for the same species and the same orientation relation, can be quite variable. For a given orientation relation the morphology depends on the geometry of the twin boundary as well as on the number of twin partners. A typical morphological ...
[more results from section 3.3.3 in volume D]
Notes on the definition of twinning
International Tables for Crystallography (2013). Vol. D, Section 3.3.2.4, pp. 417-418 [ doi:10.1107/97809553602060000917 ]
... des Fe4Al13. J. Alloy. Compd. 198, 91-100. Klapper, H., Hahn, Th. & Chung, S. J. (1987). Optical, pyroelectric and X-ray ...
[more results from section 3.3.2 in volume D]
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