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Discovery of Soft-Matter Quasicrystals and Their Properties

Chapter
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 260)

Abstract

During 2004, Zeng et al. [1] observed the quasicrystals with 12-fold symmetry in liquid crystals. Almost at the same time, in 2005 Takano [2] and in 2007 Hayashida et al. [3] discovered the similar structure in polymers. The quasicrystals of 12-fold symmetry were observed also in chalcogenides and organic dendrons.

References

  1. 1.
    X. Zeng, G. Ungar, Y. Liu, V. Percec, A.E. Dulcey, J.K. Hobbs, Supramolecular dendritic liquid quasicrystals. Nature 428, 157–159 (2004)ADSCrossRefGoogle Scholar
  2. 2.
    K. Takano, A mesoscopic Archimedian tiling having a complexity in polymeric stars. J. Polym. Sci. Pol. Phys. 43, 2427–2432 (2005)ADSCrossRefGoogle Scholar
  3. 3.
    K. Hayashida, T. Dotera, A. Takano, Y. Matsushita, Polymeric quasicrystal: mesoscopic quasicrystalline tiling in ABC starpolymmers. Phys. Rev. Lett. 98, 195502 (2007)ADSCrossRefGoogle Scholar
  4. 4.
    V.D. Talapin, E.V. Shevechenko, M.I. Bodnarchuk, X.C. Ye, J. Chen, C.B. Murray, Quasicrystalline order in self-assembled binary nanoparticle superlattices. Nature 461, 964–967 (2009)ADSCrossRefGoogle Scholar
  5. 5.
    S. Fischer, A. Exner, K. Zielske, J. Perlich, S. Deloudi, W. Steuer, P. Linder, S. Foestor, Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry. Proc Nat. Acad. Sci. 108, 1810–1814 (2011)ADSCrossRefGoogle Scholar
  6. 6.
    K. Yue, M.J. Huang, R. Marson, J.L. He, J.H. Huang, Z. Zhou, C. Liu, X.S. Yan, K. Wu, J. Wang, Z.H. Guo, H. Liu, W. Zhang, P.H. Ni, C. Wesdemiotis, W.-B. Zhang, S.C. Glotzer, S.Z.D. Cheng, Geometry induced sequence of nanoscale Frank-Kasper and quasicrystal mesophases in giant surfactants. Proc. Nat. Acad. Sci. 113(50), 1392–1400 (2016)CrossRefGoogle Scholar
  7. 7.
    R. Lifshitz, H. Diamant, Soft quasicrystals—why are they stable? Phil. Mag. 87(18), 3021–3030 (2007)ADSCrossRefGoogle Scholar
  8. 8.
    K. Barkan, H. Diamant, R. Lifshitz, Stability of quasicrystals composed of soft isotropic particles. Phys. Rev. B 83, 172201 (2011)ADSCrossRefGoogle Scholar
  9. 9.
    T.Y. Fan, J.J. Sun, Four phonon model for studying thermodynamics of soft-matter quasicrystals. Phil. Mag. Lett. 94(2), 112–117 (2014)ADSCrossRefGoogle Scholar
  10. 10.
    T.Y. Fan, Equation system of generalized hydrodynamics of soft-matter quasicrystals. Appl. Math. Mech. 37(4), 331–347 (2016) (in Chinese)MathSciNetGoogle Scholar
  11. 11.
    H. Cheng, T.Y. Fan, H. Wei, Characters of deformation and motion of possible soft-matter quasicrystals with 5- and 10-fold symmetry. Appl. Phys. A. (2017) (submitted)Google Scholar
  12. 12.
    H. Cheng, T.Y. Fan, H. Wei, Solutions of hydrodynamics of quasicrystals with 5- and 10-fold symmetry. Appl. Math. Mech. 37(10), 1393–1404 (2016)MathSciNetCrossRefMATHGoogle Scholar
  13. 13.
    P.D. de Gennes, Soft matter. Mod. Phys. Rev. 64, 544–548 (1992); Angew. Chem. 31, 842–845 (1992)Google Scholar
  14. 14.
    T.A. Witten, P.A. Pincus, Structured Fluids: Polymers, Colloids, Surfactants (Oxford University Press, New York, 2004)Google Scholar
  15. 15.
    M. Kleman, Soft Matter Physics: An Introduction (Springer, Berlin, 2003)Google Scholar
  16. 16.
    M. Motiv, Sensitive Matter: Foams, Gels, Liquid Crystals and Other Materials (Harvard University Press, New York, 2010)Google Scholar
  17. 17.
    N.J. Israelachvili, Intermolecular and Surface Forces (Academic Press, New York, 2010)Google Scholar
  18. 18.
    T.Y. Fan, Generalized hydrodynamics of soft-matter second two-dimensional quasicrystals. Appl. Math. Mech. 38(2), 189–199 (2017) (in Chinese)Google Scholar
  19. 19.
    C.Z. Hu, D.H. Ding, W.G. Yang, R.H. Wang, Possible two-dimensional quasicrystals structures with six-dimensional embedding space. Phys. Rev. B 49(14), 9423–9427 (1994)ADSCrossRefGoogle Scholar
  20. 20.
    Z.Y. Tang, T.Y. Fan, Point groups and group representation theory of second kind of two-dimensional quasicrystals, Sci. China G (2017) (submitted)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. and Beijing Institution of Technology Press 2017

Authors and Affiliations

  1. 1.Beijing Institute of TechnologyBeijingChina

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