Quasicrystallinity expressed in two-dimensional coordination networks

Nature Chemistry

Volumn 8, Issue 7, 2016, Pages 657-662

  Urgel, José I ^a   Écija, David ^b   Lyu, Guoqing ^c   Zhang, Ran ^c   Palma, Carlos Andres ^a   Auwärter, Willi ^a   Lin, Nian ^c   Barth, Johannes V ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b INSTITUTO MADRILEÑO DE ESTUDIOS AVANZADOS EN NANOCIENCIA IMDEA NANOCIENCIA   (Spain)

^c HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84975784325     PISSN: 17554330     EISSN: 17554349     Source Type: Journal    
DOI: 10.1038/nchem.2507     Document Type: Article

References (60)

1. Shechtman, D., Blech, I., Gratias, D. & Cahn, J. W. Metallic phase with longrange orientational order and no translational symmetry. Phys. Rev. Lett. 53, 1951-1953 (1984).
2. Levine, D. & Steinhardt, P. J. Quasicrystals: a new class of ordered structures. Phys. Rev. Lett. 53, 2477-2480 (1984).
3. Janssen, T., Chapuis, G. & Boissieu, M. D. Aperiodic Crystals: from Modulated Phases to Quasicrystals (Oxford Univ. Press, 2007).
4. Steurer, W. & Deloudi, S. Crystallography of Quasicrystals (Springer, 2009).
5. Baake, M. & Grimm, U. Encyclopedia of Mathematics and Its Applications: Aperiodic Order (Cambridge Univ. Press, 2013).
6. Poon, S. J. Electronic properties of quasicrystals: an experimental review. Adv. Phys. 41, 303-363 (1992).
7. Dubois, J.-M. Properties-and applications of quasicrystals and complex metallic alloys. Chem. Soc. Rev. 41, 6760-6777 (2012).
8. Vardeny, Z. V., Nahata, A. & Agrawal, A. Optics of photonic quasicrystals. Nature Photon. 7, 177-187 (2013).
9. Deguchi, K. et al. Quantum critical state in a magnetic quasicrystal. Nature Mater. 11, 1013-1016 (2012).
10. Ishimasa, T., Nissen, H. U. & Fukano, Y. New ordered state between crystalline and amorphous in Ni-Cr particles. Phys. Rev. Lett. 55, 511-513 (1985).
11. Steurer, W. Twenty years of structure research on quasicrystals. Z. Kristallogr. 219, 391-446 (2004).
12. Ishimasa, T. Dodecagonal quasicrystals still in progress. Isr. J. Chem. 51, 1216-1225 (2011).
13. Steurer, W. Why are quasicrystals quasiperiodic? Chem. Soc. Rev. 41, 6719-6729 (2012).
14. Bindi, L., Steinhardt, P. J., Yao, N. & Lu, P. J. Natural quasicrystals. Science 324, 1306-1309 (2009).
15. Ishimasa, T. et al. Phason space analysis and structure modeling of 100 Å-scale dodecagonal quasicrystal in Mn-based alloy. Phil. Mag. A 95, 3745-3767 (2015).
16. Zeng, X. et al. Supramolecular dendritic liquid quasicrystals. Nature 428, 157-160 (2004).
17. Fischer, S. et al. Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry. Proc. Natl Acad. Sci. USA 108, 1810-1814 (2011).
18. Hayashida, K., Dotera, T., Takano, A. & Matsushita, Y. Polymeric quasicrystal: mesoscopic quasicrystalline tiling in ABC star polymers. Phys. Rev. Lett. 98, 195502 (2007).
19. Xiao, C. et al. Dodecagonal tiling in mesoporous silica. Nature 487, 349-353 (2012).
20. Talapin, D. V. et al. Quasicrystalline order in self-assembled binary nanoparticle superlattices. Nature 461, 964-967 (2009).
21. Förster, S. et al. Quasicrystalline structure formation in a classical crystalline thin-film system. Nature 502, 215-218 (2013).
22. Wasio, N. A. et al. Self-assembly of hydrogen-bonded two-dimensional quasicrystals. Nature 507, 86-89 (2014).
23. Chen, H., Li, D. X. & Kuo, K. H. New type of two-dimensional quasicrystal with twelvefold rotational symmetry. Phys. Rev. Lett. 60, 1645-1648 (1988).
24. Conrad, M., Krumeich, F. & Harbrecht, B. A dodecagonal quasicrystalline chalcogenide. Angew. Chem. Int. Ed. 37, 1383-1386 (1998).
25. Lifshitz, R. & Diamant, H. Soft quasicrystals - why are they stable? Phil. Mag. 87, 3021-3030 (2007).
26. Dotera, T. Toward the discovery of new soft quasicrystals: from a numerical study viewpoint. J. Polym. Sci. B 50, 155-167 (2011).
27. Ungar, G. & Zeng, X. Frank-Kasper, quasicrystalline and related phases in liquid crystals. Soft Matter 1, 95-106 (2005).
28. Keys, A. S. & Glotzer, S. C. How do quasicrystals grow? Phys. Rev. Lett. 99, 235503 (2007).
29. Yang, Z., Wei, J., Bonville, P. & Pileni, M.-P. Beyond entropy: magnetic forces induce formation of quasicrystalline structure in binary nanocrystal superlattices. J. Am. Chem. Soc. 137, 4487-4493 (2015).
30. Lee, S., Bluemle, M. J. & Bates, F. S. Discovery of a Frank-Kasper s phase in sphere-forming block copolymer melts. Science 330, 349-353 (2010).
31. Iacovella, C. R., Keys, A. S. & Glotzer, S. C. Self-assembly of soft-matter quasicrystals and their approximants. Proc. Natl Acad. Sci. USA 108, 20935-20940 (2011).
32. Goldman, A. I. & Kelton, R. F. Quasicrystals and crystalline approximants. Rev. Mod. Phys. 65, 213-230 (1993).
33. Gähler, F. Quasicrystal Structures from the Crystallographic Viewpoint (ETH Zürich, 1988).
34. Gähler, F. in Quasicrystalline Materials (eds Janot, D. & Dubois, J. M.) 272-284 (World Scientific, 1988).
35. Niizeki, N. & Mitani, H. Two-dimensional dodecagonal quasilattices. J. Phys. A 20, L405-L410 (1987).
36. Baake, M., Klitzing, R. & Schlottmann, M. Fractally shaped acceptance domains of quasiperiodic square-triangle tilings with dodecagonal symmetry. Phys. A 191, 554-558 (1992).
37. Kawamura, H. Statistics of two-dimensional amorphous lattice. Prog. Theor. Phys. 70, 352-365 (1983).
38. Leung, P. W., Henley, C. L. & Chester, G. V. Dodecagonal order in a twodimensional Lennard-Jones system. Phys. Rev. B 39, 446-458 (1989).
39. Oxborrow, M. & Henley, C. L. Random square-triangle tilings. Phys. Rev. B 48, 6996-6998 (1993).
40. Widom, M. Bethe ansatz solution of the square-triangle random tiling model. Phys. Rev. Lett. 70, 2094-2097 (1993).
41. Grimm, U. & Joseph, D. in Quasicrystals (eds Suck, J.-B., Schreiber, M. & Häussler, P.) 199-218 (Springer Series in Materials Science 55, Springer, 2002).
42. Dzugutov, M. Formation of a dodecagonal quasicrystalline phase in a simple monatomic liquid. Phys. Rev. Lett. 70, 2924-2927 (1993).
43. Barkan, K., Diamant, H. & Lifshitz, R. Stability of quasicrystals composed of soft isotropic particles. Phys. Rev. B 83, 172201 (2011).
44. Barkan, K., Engel, M. & Lifshitz, R. Controlled self-assembly of periodic and aperiodic cluster crystals. Phys. Rev. Lett. 113, 098304 (2014).
45. Dotera, T., Oshiro, T. & Ziherl, P. Mosaic two-length-scale quasicrystals. Nature 506, 208-211 (2014).
46. Glotzer, S. C. Assembly engineering: materials design for the 21st century. Chem. Eng. Sci. 121, 3-9 (2015).
47. Barth, J. V. Fresh perspectives for surface coordination chemistry. Surf. Sci. 603, 1533-1541 (2009).
48. Lin, N., Stepanow, S., Ruben, M. & Barth, J. V. Surface-confined supramolecular coordination chemistry. Top. Curr. Chem. 287, 1-44 (2009).
49. Bünzli, J.-C. G. Benefiting from the unique properties of lanthanide ions. Acc. Chem. Res. 39, 53-61 (2006).
50. Klyatskaya, S. et al. Surface-confined self-assembly of di-carbonitrile polyphenyls. Adv. Funct. Mater. 21, 1230-1240 (2011).
51. Schlickum, U. et al. Metal-organic honeycomb nanomeshes with tunable cavity size. Nano Lett. 7, 3813-3817 (2007).
52. Écija, D. et al. Five-vertex Archimedean surface tessellation by lanthanide-directed molecular self-assembly. Proc. Natl Acad. Sci. USA 110, 6678-6681 (2013).
53. Urgel, J. I. et al. Five-vertex lanthanide coordination on surfaces: a route to sophisticated nanoarchitectures and tessellations. J. Phys. Chem. C 118, 12908-12915 (2014).
54. Urgel, J. I. et al. Surface-supported robust two-dimensional lanthanidecarboxylate coordination networks. Small 11, 6358-6364 (2015).
55. Barth, J. V., Brune, H., Ertl, G. & Behm, R. J. Scanning tunneling microscopy observations on the reconstructed Au(111) surface: atomic structure, long-range superstructure, rotational domains, and surface defects. Phys. Rev. B 42, 9307-9318 (1990).
56. Joseph, D. & Elser, V. A model of quasicrystal growth. Phys. Rev. Lett. 79, 1066-1069 (1997).
57. Müllegger, S. et al. Organic molecular beamdeposition of oligophenyls on Au(111): a study by X-ray absorption spectroscopy. ChemPhysChem 7, 2552-2558 (2006).
58. Marschall, M. et al. Supramolecular organization and chiral resolution of p-terphenyl-m-dicarbonitrile on the Ag(111) surface. ChemPhysChem 11, 1446-1451 (2010).
59. Klappenberger, F. et al. Uniform p-system alignment in thin films of templategrown dicarbonitrile-oligophenyls. Adv. Funct. Mater. 21, 1631-1642 (2011).
60. Henze, S. K. M. et al. Vertical bonding distances of PTCDA on Au(111) and Ag (111): relation to the bonding type. Surf. Sci. 601, 1566-1573 (2007).