International
Tables for Crystallography Volume D Physical properties of crystals Edited by A. Authier © International Union of Crystallography 2006 |
International Tables for Crystallography (2006). Vol. D. ch. 3.3, pp. 418-419
Section 3.3.8.3. Twins with three-dimensional twin lattices (`triperiodic' twins)
a
Institut für Kristallographie, Rheinisch–Westfälische Technische Hochschule, D-52056 Aachen, Germany, and bMineralogisch-Petrologisches Institut, Universität Bonn, D-53113 Bonn, Germany |
The following cases of exact superposition are distinguished:
Examples
|
References
Arzruni, A. (1887). Ein neues Zwillingsgesetz im regulären System. Proc. Russ. Mineral. Soc. St. Petersburg, 23, 126–132. (In German.)Google ScholarDevouard, B., Pósfai, M., Hua, X., Bazylinski, D. A., Frankel, R. B. & Buseck, P. R. (1998). Magnetite from magnetotactic bacteria: size distributions and twinning. Am. Mineral. 83, 1387–1398.Google Scholar
Gottstein, G. (1984). Annealing texture developments by multiple twinning in fcc crystals. Acta Metall. 32, 1117–1138.Google Scholar
Hofmeister, H. (1998). Forty years study of fivefold twinned structures in small particles and thin films. Cryst. Res. Technol. 33, 3–25, especially Section 4.Google Scholar
Koch, E. (2004). Twinning. In International tables for crystallography, Vol. C. Mathematical, physical and chemical tables, edited by E. Prince, 3rd ed., ch. 1.3. Dordrecht: Kluwer Academic Publishers.Google Scholar
Neumann, W., Hofmeister, H., Conrad, D., Scheerschmidt, K. & Ruvimov, S. (1996). Characterization of interface structures in nanocrystalline germanium by means of high-resolution electron microscopy and molecular dynamics simulation. Z. Kristallogr. 211, 147–152.Google Scholar
Niggli, P. (1926). Lehrbuch der Mineralogie. Band II: Spezielle Mineralogie, p. 53, Fig. 9. Berlin: Gebrüder Borntraeger.Google Scholar
Seifert, H. (1928). Über Schiebungen am Bleiglanz. Neues Jahrb. Mineral. Geol. Palaeontol. 57, Beilage-Band, Abteilung A, Mineralogie und Petrographie, pp. 665–742.Google Scholar
Takeda, H. & Donnay, J. D. H. (1965). Compound tessellations in crystal structures. Acta Cryst. 19, 474–476.Google Scholar
Tamazyan, R., Arnold, H., Molchanov, V. N., Kuzmicheva, G. M. & Vasileva, I. G. (2000b). Contribution to the crystal chemistry of rare-earth chalcogenides. III. The crystal structure and twinning of SmS1.9. Z. Kristallogr. 215, 346–351.Google Scholar
Taylor, C. A. & Underwood, F. A. (1960). A twinning interpretation of `superlattice' reflexions in X-ray photographs of synthetic klockmannite, CuSe. Acta Cryst. 13, 361–362.Google Scholar
Tschermak, G. & Becke, F. (1915). Lehrbuch der Mineralogie, 7th edition, pp. 93–114. Wien: Alfred Hölder.Google Scholar