Three-periodic nets and tilings: Regular and quasiregular nets

Acta Crystallographica Section A: Foundations of Crystallography

Volumn 59, Issue 1, 2003, Pages 22-27

  Delgado Friedrichs, Olaf ^a,c   O'Keeffe, Michael ^a   Yaghi, Omar M ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CRYSTAL; CRYSTALLOGRAPHY; GEOMETRY; STRUCTURE ANALYSIS;

EID: 0037273070     PISSN: 01087673     EISSN: None     Source Type: Journal    
DOI: 10.1107/S0108767302018494     Document Type: Article

References (39)

1. Akporiaye, D. E. & Price, G. D. (1989). Zeolites, 9, 23-32.
2. Andries, K. J. & Smith, J. V. (1994). Proc. R. Soc. London Ser. A, 444, 217-238.
3. Baerlocher, C., Meier, W. M. & Olsen, D. H. (2001). Atlas of Zeolite Framework Types. Amsterdam: Elsevier. http://www.iza-structure.Org/databases/.
4. Barrer, R. M. & Villiger, H. (1969). Z. Kristallogr. 128, 352-370.
5. Batten, S. R. & Robson, R. (1998). Angew. Chem. Int. Ed. Engl. 37, 1461-1494.
6. Chung, S. J., Hahn, T. & Klee, W. E. (1985). Acta Cryst. A40, 42-50.
7. Corey, E. J. & Petersson, G. A. (1972). J. Am. Chem. Soc. 94, 460-465.
8. Coxeter, H. S. M. (1973). Regular Polytopes, 3rd ed. New York: Dover.
9. Delgado Friedrichs, O. (1994). Doctoral thesis, University of Bielefeld, Germany.
10. Delgado Friedrichs, O., Dress, A. W. M., Huson, D. H., Klinowsky, J. & Mackay, A. L. (1999). Nature (London), 400, 644-647.
11. Delgado Friedrichs, O. & Huson, D. H. (2000). Discrete Comput. Geom. 24, 279-292.
12. Dress, A. W. M. (1985). Springer Lecture Notes in Mathematics, Vol. 1172, pp. 56-72. Berlin: Springer.
13. Euclid of Alexandria (ca 300 B.C.). Elements XIII.
14. Fischer, W. (1973). Z. Kristallogr. 138, 129-146.
15. Fischer, W. (1974). Z. Kristallogr. 140, 50-74.
16. Fischer, W. (1991a). Z. Kristallogr. 194, 67-85.
17. Fischer, W. (1991b). Z. Kristallogr. 194, 87-110.
18. Fischer, W. (1993). Z. Kristallogr. 205, 9-26.
19. Fischer, W. & Koch, E. (1983). Lattice Complexes. In International Tables for Crystallography, Vol. A, edited by Th. Hahn. Dordrecht: Kluwer.
20. Goetzke, K. & Klein, H.-J. (1991). J. Non-Cryst. Solids, 127, 215-220.
21. Grünbaum, B. & Shephard, G. C. (1980). Bull. Am. Math. Soc. 3, 951-973.
22. Han, S. & Smith, J. V. (1994). Acta Cryst. A50, 302-307.
23. Han, S. & Smith, J. V. (1999a). Acta Cryst. A55, 332-341.
24. Han, S. & Smith, J. V. (1999b). Acta Cryst. A55, 342-359.
25. Hyde, S. T. & Ramsden, S. (2000). Chemical Topology, edited by D. Bonchev & D. H. Rouvray, ch. 2. Amsterdam: Gordon and Breach.
26. Kepler, J. (1619). Harmonices Mundi. Linz.
27. Koch, E. & Fischer, W. (1995). Z. Kristallogr. 210, 407-414.
28. O'Keeffe, M. (1991). Z. Kristallogr. 196, 21-37.
29. O'Keeffe, M. (1992). Acta Cryst. A48, 670-673.
30. O'Keeffe, M. (1995). Acta Cryst. A51, 916-920.
31. O'Keeffe, M. (1999). Nature (London), 400, 617-618.
32. O'Keeffe, M. & Brese, N. E. (1992). Acta Cryst. A48, 663-669.
33. O'Keeffe, M., Eddaoudi, M., Li, H., Reineke, T. & Yaghi, O. M. (2000). J. Solid State Chem. 152, 3-20.
34. O'Keeffe, M. & Hyde, B. G. (1996). Crystal Structures I: Patterns and Symmetry. Washington: Mineral, Soc. Am.
35. Pearce, P. (1978). Structure in Nature is a Strategy for Design. Cambridge: MIT Press.
36. Smith, J. V. (1988). Chem. Rev. 88, 149-182.
37. Treacy, M. M. J., Randall, K. H., Rao, S., Perry, J. A. & Chadi, D. J. (1997). Z. Kristallogr. 212, 768-791.
38. Wells, A. F. (1977). Three-Dimensional Nets and Polyhedra. New York: Wiley.
39. Wells, A. F. (1979). Further Studies of Three-Dimensional Nets. Am. Crystallogr. Assoc. Monogr. No. 8.