Twins vs. modular crystal structures

Zeitschrift fur Kristallographie

Volumn 219, Issue 12, 2004, Pages 773-778

  Nespolo, Massimo ^a   Ferraris, Giovanni ^b,c   Ďurovič, Slavomil ^d   Takéuchi, Yoshio ^e  

^a UNIVERSITÉ DE LORRAINE   (France)

^b UNIVERSITY OF TURIN   (Italy)

^c CNR   (Italy)

^d INSTITUTE OF CHEMISTRY   (Slovakia)

^e UNIVERSITY OF TOKYO   (Japan)

Author keywords

Cell twinning; Homologous series; OD twinning; Tropochemical cell twinning; Twinning

Indexed keywords

ARTICLE; CHEMICAL MODIFICATION; CRYSTAL STRUCTURE; STRUCTURE ANALYSIS;

EID: 11844282129     PISSN: 00442968     EISSN: None     Source Type: Journal    
DOI: 10.1524/zkri.219.12.773.55868     Document Type: Article

References (45)

1. Andersson, S.; Hyde, B. G.: Twinning on the unit cell level as a structure-building operation in the solid state. J. Sol. State Chem. 9 (1974) 92-101.
2. Baumhauer, H.: Über die Kristalle des Carborundums. Z. Kristallogr. 50 (1912) 33-39.
3. Baumhauer, H.: Uber die verschiedenen Modifikationen des Carborundums und due Erscheinnung der Polytypie. Z. Kristallogr. 55 (1915) 249-259.
4. 4 par la méthode self-consistante d'approche directe. Acta Crystallogr. 9 (1956) 121-126.
5. Buerger, M. J.: The Genesis of Twin Crystals. Am. Mineral. 30 (1945) 469-482.
6. Catti, M.; Ferraris, G.: Twinning by Merohedry and X-ray Crystal Structure Determination. Acta Crystallogr. A32 (1976) 163-165.
7. Donnay, G.; Donnay, J. D. H.: The crystallography of bastnaesite, parisite, roentgenite, and synchisite. Am. Mineral. 38 (1953) 932-963.
8. Dornberger-Schiff, K.: On order-disorder structures (OD-structures). Acta Crystallogr. 9 (1956) 593-601.
9. Dornberger-Schiff, K.: Relation of symmetry to structure in twinning. Acta Crystallogr. 12 (1959) 246.
10. Dornberger-Schiff, K.: Relation of symmetry to structure in twinning, II. Acta Crystallogr. 14 (1961) 1003.
11. Dornberger-Schiff, K.: Grundzüge einer Theorie von OD-Strukturen aus Schichten. Abh. dtsch. Akad. Wiss. Berlin, Kl. f. Chem. 3 (1964) 107 p.
12. Dornberger-Schiff, K.; Grell-Niemann, H.: On the Theory of Order-Disorder (OD) Structures. Acta Crystallogr. 14 (1961) 167-177.
13. Ďurovič, S.: Layer stacking in general polytypic structures. In: International Tables for Crystallography. Vol. C, Sect. 9.2; third Edition (Ed. E. Prince). Dordrecht/Boston/London: Kluwer Academic Publishers, (2004).
14. Ďurovič, S.; Weiss, Z.: OD structures and polytypes. Bull. Minéral. 109 (1986) 15-29.
15. Ferraris G.; Makovicky E.; Merlino, S.: Crystallography of modular materials. IUCr/Oxford University Press (2004).
16. Fichtner, K.: A new deduction of a complete list of OD groupoid families for OD structures consisting of equivalent layers. Kristall und Technik 12 (1977) 1264-1267.
17. Friedel, G.: Étude sur les groupements cristallins. Extrait du Bullettin de la Société de l'Industrie minérale. Quatrième série, Tomes III et IV. Saint-Étienne, Societè de l'Imprimerie Thèolier J. Thomas et C., (1904) 485 pp.
18. Friedel, G.: Leçons de Cristallographie. Berger-Levrault, Nancy, Paris, Strasbourg (1926) XIX + 602 pp.
19. Grell, H.: How to choose OD layers. Acta Crystallogr. A40 (1984) 95-99.
20. Guinier, A.; Bokij, G. B.; Boll-Dornberger, K.; Cowley, J. M.; Ďurovič, S., Jagodzinski, H.; Khrisna, P.; DeWolff, P. M.; Zvyagin, B. B.; Cox, D. E.; Goodman, P.; Hahn, Th.; Kuchitsu, K.; Abrahams, S. C.: Nomenclature of Polytype Structures. Report of the International Union of crystallography Ad-Hoc Committee on the Nomenclature of Disordered, Modulated and Polytype Structures. Acta Crystallogr. A40 (1984) 399-404.
21. Hahn, T.; Klapper, H.: Twinning of crystals. In: International Tables for Crystallography. Vol. D, Sect. 3.3 (Ed. A. Authier). International Union of Crystallography/D. Reidel Publishing Company, (2003).
22. Holser, W. T.: Relation of Symmetry to Structure in Twinning. Z Kristallogr. 110 (1958) 249-265.
23. Kopský, V.; Litvin, D.B. (Eds.): International Tables for Crystallography, Volume E: Subperiodic groups. Dordrecht/Boston/London: Kluwer Academic Press, (2002) 562 + x pp.
24. Hyde, B. G.; Andersson, S.; Bakker, M.; Plug, C. M.; O'Keeffe, M.: The (twin) composition plane as an extended defect and structure-building entity in crystals. Progr. Solid State Chem. 12 (1979) 185-327.
25. Ito, T.: On the Symmetry of Rhombic Pyroxenes. Z. Kristallogr. 90 (1935) 151-162.
26. Ito, T.: Theory of twinned space groups. J. Jpn. Ass. Min. Petr. Econ. Geol. 20 (1938) 185-210 (in Japanese).
27. Ito, T.: X-ray studies on polymorphism. Tokyo: Maruzen (1950).
28. Makovicky, E.: Modularity - different types and approaches. In: Modular Aspects of Minerals/EMU Notes in Mineralogy Vol 1. (Ed. Merlino, S.). Budapest: Eötvös University Press (1997) 315-343.
29. Nespolo, M.: Twin point groups and the polychromatic symmetry of twins. Z. Kristallogr. 219 (2004) 57-71.
30. Nespolo, M.; Kogure, T.; Ferraris, G.: Allotwinning: oriented crystal association of polytypes - Some warnings on consequences. Z. Kristallogr. 214 (1999) 1-4.
31. Royer, L.: Recherches expérimentales sur l'épitaxie ou orientation mutuelle de cristaux d'espèces differentes. Bull. Soc. franç. Minér. 51 (1928) 7-159.
32. Royer, L.: Sur l'orientation de certains halogénurs alcalins par la calcite. Comptes Rendus 205 (1937) 1418-1420.
33. Royer, L.: De l'épitaxie; quelques remarques sur les problèmes qu'elle soulève. Bull. Soc. franç. Minér. Crist. 77 (1954) 1004-1028.
34. Sadanaga, R.: On the Theory of Twinned Space Groups. J. Mineral. Soc. Jpn. 4 (1959), 1-14 (in Japanese).
35. Sadanaga, R.: Complex Structures and Space Groupoids. Rec. Progr. Nat. Sci. Jpn. 3 (1978) 143-151.
36. Sadanaga, R.; Sawada, T.; Ohsumi, K.; Kamiya, K.: Classification of superstructures by symmetry. J. Jpn. Assoc. Min. Petr. Econ. Geol., Spec. 2 (1980) 23-29.
37. Steno, N.: De solido intra solidum naturaliter contento dissertationis prodromus. Firenze: Typographia sub signo Stellæ (1669).
38. Takéuchi, Y.: Tropochemical cell-twinning. A structure building mechanism in crystalline solids. Tokyo: Terra Scientific Publishing Company (1997).
39. 3 system. Z. Kristallogr. 150 (1979) 75-84.
40. Thompson, J. B. Jr.: Biopyriboles and polysomatic series. Am. Mineral. 63 (1978) 239-249.
41. Ungemach, H.: Sur la Sintaxie et la Polytypie. Z. Kristallogr. 91 (1935) 1-22.
42. Van Landuyt, J.; Amelinckx, S.; Kohn, J.A.; Eckart, D. W.: Multiple Beam Direct Lattice Imaging of the Hexagonal Ferrites. J. Solid St. Chem. 9 (1974) 103-119.
43. Wadsley, A. D.: Inorganic non-stoichiometric compounds. In: Nonstoichiometric compounds. New York: Academic Press (1963) 98-209.
44. th edition. (Ed. Theo Hahn). International Union of Crystallography. D. Reidel Publishing Company, (2002a) pp. 719-740.
45. Wondratschek, H.: Matrices, Mappings and Crystallographic Symmetry. International Union of Crystallography, Teaching Pamphlet No. 22, (2002b) 81 pp.