Lattice aspects of twinning
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8,
p.
[ doi:10.1107/97809553602060000917 ]
Lonsdale. Birmingham: Kynoch Press. Google Scholar
Engel, G.,
Klapper,
H., Krempl, P. & Mang, H. (1989). Growth twinning in quartz-homeotypic gallium orthophosphate crystals. J. Cryst. Growth, 94, 597–606. Google Scholar ...
Approximate (pseudo-)coincidences of two or more lattices
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8.4,
p.
[ doi:10.1107/97809553602060000917 ]
of crystals
In part (iv) of Section
3.3.8.2, three-dimensional lattice coincidences and twin lattices (sublattices) were considered under two restrictions:
(a) the lattice coincidences (according to the twin ...
Lattice coincidences, twin lattice, twin lattice index
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8.2,
p.
[ doi:10.1107/97809553602060000917 ]
] in the various crystal systems are collected in Table
3.3.8.1 . No perpendicularity occurs for triclinic lattices (except for metrical accidents). The perpendicularity cases for monoclinic and orthorhombic lattices are trivial. For tetragonal (tet), hexagonal ...
Basic concepts of Friedel's lattice theory
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8.1,
p.
[ doi:10.1107/97809553602060000917 ]
...
Conclusions
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8.7,
p.
[ doi:10.1107/97809553602060000917 ]
twins of gypsum, as well as the (101) and (301) reflection twins of rutile and some further examples listed in Table
3.3.8.2 . In all these cases, it can be concluded that the lattice theory of twinning is not the suitable tool ...
Twinning of isostructural crystals
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8.6,
p.
[ doi:10.1107/97809553602060000917 ]
Engel, G.,
Klapper,
H., Krempl, P. & Mang, H. (1989). Growth twinning in quartz-homeotypic gallium orthophosphate crystals. J. Cryst. Growth, 94, 597–606. Google Scholar
Gottschalk, H., Patzer, G. & Alexander, H. (1978 ...
Twin obliquity and lattice pseudosymmetry
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8.5,
p.
[ doi:10.1107/97809553602060000917 ]
]. The twin obliquity is thus a quantitative (angular) measure of the pseudosymmetry of a lattice and, hence, of the deviation which the twin lattice suffers in crossing the composition plane (cf. Section
3.3.8.1).
The smallest mesh of the net ...
Twins with three-dimensional twin lattices (`triperiodic' twins)
Hahn, Th. and
Klapper, H.,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.3.8.3,
p.
[ doi:10.1107/97809553602060000917 ]
years study of fivefold twinned structures in small particles and thin films. Cryst. Res. Technol. 33, 3–25, especially Section 4. Google Scholar
Klapper,
H. & Hahn, Th. (2010). The application of eigensymmetries of face forms ...
