Frank-Kasper, quasicrystalline and related phases in liquid crystals

Soft Matter

Volumn 1, Issue 2, 2005, Pages 95-106

  Ungar, Goran ^a,b   Zeng, Xiangbing ^b  

^a Department of Engineering Materials ^*  (United Kingdom)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26444546472     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/b502443a     Document Type: Review

References (95)

1. Supramolecular chemistry and self-assembly. Science, 2002, 295(special issue), 2395.
2. Two structures are topological duals if the nodes of one fall at the centres of the cells of the other. Dual structures can be of any dimensionality, including 2 and 3.
3. T. C. Hales, Dis. Comp. Geom., 1997, 17, 1;
4. T. C. Hales, Dis. Comp. Geom., 1997, 18, 135.
5. The optimal structure of the bottom of a honeycomb cell has been a further controversial issue - see (a) L. Fejes Toth, Bull. Am. Math. Soc., 1964, 70, 468
6. and (b) D. Weaire and R. Phelan, Nature, 1994, 367, 123.
7. T. C. Hales, Dis. Comp. Geom., 2001, 25, 1.
8. J. A. F. Plateau, Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires, Gauthier-Villars, Paris, 1873.
9. W. Thompson (Lord Kelvin), Philos. Mag., 1887, 25, 503.
10. P. S. Pershan, Structure of Liquid Crystal Phases, World Scientific, Singapore, 1988.
11. K. J. Dormer, Fundamental Tissue Geometry for Biologists, Cambridge University Press, Cambridge, 1980.
12. J. W. Marvin, Am. J. Bot., 1939, 26, 280.
13. J. D. Bernal, Nature, 1959, 183, 141.
14. F. C. Frank and J. S. Kasper, Acta Crystallogr., 1959, 12, 483.
15. N. Rivier and T. Aste, in ref. 53, p. 61.
16. M. von Stackelberg and H. R. Mueller, J. Chem. Phys., 1951, 19, 1319.
17. Handbook of Liquid Crystals, ed. D. Demus, J. W. Goodby, G. W. Gray, H. W. Spiess and V. Vill V, Wiley-VCH, Cambridge, 1998.
18. J. Malthete, A. Collet and A. M. Levelut, Liq. Cryst., 1989, 5, 123.
19. V. Percec, C.-H. Ahn, G. Ungar, D. J. P. Yeardley, M. Moller and S. S. Sheiko, Nature, 1998, 391, 161.
20. I. M. Saez and J. W. Goodby, J. Mater. Chem., 2005, 15, 26.
21. M. Marcos, R. Gimenez, J. L. Serrano, B. Donnio, B. Heinrich and D. Guillon, Chem. Eur. J., 2001, 7, 1006.
22. G. Johansson, V. Percec, G. Ungar and J. P. Zhou, Macromolecules, 1996, 29, 646.
23. X. H. Cheng, S. Diele and C. Tschierske, Angew. Chem., Int. Ed., 2000, 39, 592.
24. L. Gehringer, C. Bourgogne, D. Guillon and B. Donnio, J. Am. Chem. Soc., 2004, 126, 3856.
25. E. Terazzi, S. Torelli, G. Bernardinelli, J. P. Rivera, J. M. Bénech, C. Bourgogne, B. Donnio, D. Guillon, D. Imbert, J. C. G. Bünzli, A. Pinto, D. Jeannerat and C. Piguet, J. Am. Chem. Soc., 2005, 127, 888.
26. G. Ungar, Y. Liu, X. B. Zeng, V. Percec and W.-D. Cho, Science, 2003, 299, 1208.
27. V. Percec, M. N. Holerca, S. Uchida, W.-D. Cho, G. Ungar, Y. S. Lee and D. J. P. Yeardley, Chem. Eur. J., 2002, 8, 1106.
28. V. Percec, C. M. Mitchell, W.-D. Cho, S. Uchida, M. Glodde, G. Ungar, X. B. Zeng, Y. Liu, V. S. K. Balagurusamy and P. A. Heiney, J. Am. Chem. Soc., 2004, 126, 6076.
29. (a) D. J. P. Yeardley, G. Ungar, V. Percec, N. M. Holerca and G. Johansson, J. Am. Chem. Soc., 2000, 122, 1684;
30. (b) H. Duan, S. D. Hudson, G. Ungar, M. N. Holerca and V. Percec, Chem. Eur. J., 2001, 7, 4134.
31. V. S. K. Balagurusamy, G. Ungar, V. Percec and G. Johansson, J. Am. Chem. Soc., 1997, 119, 1539.
32. S. D. Hudson, H.-T. Jung, V. Percec, W.-D. Cho, G. Johansson, G. Ungar and V. S. K. Balagurusamy, Science, 1997, 278, 449.
33. K. Borisch, S. Diele, P. Goring, H. Kresse and C. Tschierske, Angew. Chem., Int. Ed. Engl., 1997, 36, 2087.
34. K. Borisch, C. Tschierske, P. Göring and S. Diele, Chem. Commun., 1998, 2711.
35. J. M. Seddon, Ber. Bunsen-Ges. Phys. Chem., 1996, 100, 380.
36. I. W. Hamley, The Physics of Block Copolymers, Oxford University Press, Oxford, 1998.
37. F. S. Bates, R. E. Cohen and C. V. Berney, Macromolecules, 1982, 15, 589.
38. P. Sakya, J. M. Seddon, R. H. Templer, R. J. Mirkin and G. J. T. Tiddy, Langmuir, 1997, 13, 3706.
39. (a) M. Imperor-Clerc, M. Veber and A. M. Levelut, ChemPhysChem, 2001, 533;
40. (b) X. B. Zeng, G. Ungar and M. Imperor-Clerk, Nature Mater., in press.
41. X. B. Zeng, G. Ungar, V. S. K. Balagurusamy and V. Percec, unpublished.
42. D. R. Dukeson, G. Ungar, V. S. K. Balagurusamy, V. Percec, G. Johansson and M. Glodde, J. Am. Chem. Soc., 2003, 125, 15974.
43. (a) R. Vargas, P. Mariani, A. Gulik and V. Luzzati, J. Mol. Biol., 1992, 225, 137;
44. (b) V. Luzzati, R. Vargas, P. Mariani, A. Gulik and H. Delacroix, J. Mol. Biol., 1993, 229, 540.
45. B.-K. Cho, M. Lee, N.-K. Oh and W.-C. Zin, J. Am. Chem. Soc., 2001, 123, 9677.
46. M. Lee, B.-K. Cho and W.-C. Zin, Chem. Rev., 2001, 101, 3869.
47. A. K. Sinha, Topologically Close Packed Structures in Transition Metal Alloys, Pergamon Press, Oxford, 1972.
48. M. Clerc, J. Phys. II, 1996, 6, 961.
49. D. P. Shoemaker and C. B. Shoemaker, Acta Crystallogr., Sect. B, 1986, 42, 3.
50. W. Hume-Rothery and G. V. Raynor, Structure of Metals and Alloys, Institute of Metals, London, 1962.
51. J. S. Kasper, Theory of Alloy Phases, American Society of Metallurgy, 1956, p. 264.
52. R. Williams, The Geometrical Foundation of Natural Structure, Dover, New York, 1979.
53. J. Charvolin and J. F. Sadoc, J. Phys. (France), 1988, 49, 521.
54. V. Luzzati, R. Vargas, A. Gulik, P. Mariani, J. M. Seddon and E. Rivas, Biochemistry, 1992, 31, 279.
55. P. M. Duesing, R. H. Templer and J. M. Seddon, Langmuir, 1997, 13, 351.
56. C. Berne, A. Pasturel, M. Sluiter and B. Vinet, Phys. Rev. Lett., 1999, 83, 1621.
57. (a) P. Ziherl and R. D. Kamien, Phys. Rev. Lett., 2000, 85, 3528;
58. (b) P. Ziherl and R. D. Kamien, J. Phys. Chem. B, 2001, 105, 10147.
59. The Kelvin Problem: Foam Structures of Minimal Surface Area, ed. D. Weaire, Taylor & Francis, London, 1997.
60. D. Weaire and R. Phelan, Philos. Mag. Lett., 1994, 69, 107.
61. G. Ungar, V. Percec, M. N. Holerca, G. Johansson and J. A. Heck, Chem. Eur. J., 2000, 6, 1258.
62. E. L. Thomas, D. J. Kinning, D. B. Alward and C. S. Henkee, Macromolecules, 1987, 20, 2934.
63. D. Shechtman, I. Blech, D. Gratias and J. W. Cahn, Phys. Rev. Lett., 1984, 53, 1951.
64. The Physics of Quasicrystals, ed. P. J. Steinhardt and S. Ostlund, World Scientific, Singapore, 1987.
65. D. Levine and P. J. Steinhardt, Phys. Rev. Lett., 1984, 53, 2477.
66. T. Janssen, A. Janner, A. Looijenga-Vos and P. M. de Wolff, International Tables for Crystallography, Vol. C, Kluwer, London, 1995, pp. 797-835.
67. M. Senechal, Quasicrystals and geometry, Cambridge University Press, Cambridge, 1995.
68. D. Levine and P. J. Steinhardt, Phys. Rev. B, 1986, 34, 596.
69. X. B. Zeng, G. Ungar, Y. S. Liu, V. Percec, A. E. Dulcey and J. K. Hobbs, Nature, 2004, 428, 157.
70. R. M. Hornreieh and S. Shtrikman. Phys. Rev. Lett., 1986, 56, 1723.
71. T. C. Lubensky and H. Stark, Phys. Rev. E, 1996, 53, 714.
72. L. Navailles, P. Barois and H. T. Nguyen, Phys. Rev. Lett., 1993, 71, 545.
73. L. Navailles, R. Pindak, P. Barois and H. T. Nguyen, Phys. Rev. Lett., 1995, 74, 5224.
74. S. R. Renn and T. C. Lubensky, Phys. Rev. A, 1988, 38, 2132.
75. J. W. Goodby, M. A. Waugh, S. M. Stein, E. Chin, R. Pindak and J. S. Patel, Nature, 1989, 337, 449.
76. G. Srajer, R. Pindak, M. A. Waugh, J. W. Goodby and J. S. Patel, Phys. Rev. Lett., 1990, 64, 1545.
77. J. W. Goodby, Curr. Opin. Colloid Interface Sci., 2002, 7, 326.
78. M. Brunet, L. Navailles and N. A. Clark, Eur. Phys. J. E, 2002, 7, 5.
79. L. Navailles, B. Pansu, L. Gorre-Talini and H. T. Nguyen, Phys. Rev. Lett., 1998, 81, 4168.
80. Y. Galerne, Phys. Rev. Lett., 1994, 72, 1299;
81. L. Navailles, P. Barois and H. T. Nguyen, Phys. Rev. Lett., 1994, 72, 1300.
82. P. Barois, F. Heidelbach, L. Navailles, H. T. Nguyen, M. Nobili, M. Petit, R. Pindak and C. Riekel, Eur. Phys. J. B, 1999, 11, 455.
83. P. Stampfli, Helv. Phys. Acta, 1986, 59, 1260.
84. M. Baake, R. Klitzing and M. Schlottmann, Physica A, 1992, 191, 554.
85. F. Gähler, in Quasicrystalline Materials, ed. C. Janot and J. M. Dubois, World Scientific, Singapore, 1988, p. 272.
86. B. Rubinstein and S. I. Ben-Abraham, Mater. Sci. Eng., 2000, 418, 294.
87. X. H. Cheng, M. Prehm, M. K. Das, J. Kain, U. Baumeister, S. Diele, D. Leine, A. Blume and C. Tschierske, J. Am. Chem. Soc., 2003, 125, 10977.
88. B. Chen, X. B. Zeng, U. Baumeister, G. Ungar and C. Tschierske, Science, 2005, 307, 96.
89. B. Grünbaum and G. C. Shephard, Tilings and Patterns, W. H. Freeman, New York, 1987.
90. M. A. Glaser, P. D. Beale, N. A. Clark and S. A. Kadlec, Book of Abstracts, 20th International Liquid Crystal Conference, Ljubljana, 2004, p. 403.
91. Y. S. Chan, C. T. Chan and Z. Y. Liu, Phys. Rev. Lett., 1998, 80, 956.
92. C. J. Jin, B. Y. Cheng, B. Y. Man, Z. L. Li, D. Z. Zhang, S. Z. Ban and B. Sun, Appl. Phy. Lett., 1999, 75, 1848.
93. M. E. Zoorob, M. D. B. Charlton, G. J. Parker, J. J. Baumberg and M. C. Netti, Nature, 2000, 404, 740.
94. M. Bayindir, E. Cubukcu, I. Bulu and E. Ozbay, Europhys. Lett., 2001, 56, 41.
95. Y. Fink, A. M. Urbas, M. G. Bawendi, J. D. Joannopoulos and E. L. Thomas, J. Lightwave Technol., 1999, 17, 1963.