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2022 | OriginalPaper | Chapter

11. The Possible 7-, 9-, and 14-fold Symmetry Quasicrystals in Soft Matter

Authors : Tian-You Fan, Wenge Yang, Hui Cheng, Xiao-Hong Sun

Published in: Generalized Dynamics of Soft-Matter Quasicrystals

Publisher: Springer Nature Singapore

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Abstract

The possible 7-, 9-, and 14-fold symmetry quasicrystals are similar to those of 18-fold symmetry, and belong to the second kind of two-dimensional quasicrystals, in which the possible 7- and 14-fold symmetry quasicrystals are more interesting because the phonons and second phasons are coupled apart from the coupling between the first and second phasons.

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previous chapter Dynamics of 18-Fold Symmetric Soft-Matter Quasicrystals

next chapter Re-Discussion on Symmetry Breaking and Elementary Excitations

Fan, T.Y.: Equation system of generalized hydrodynamics of soft-matter quasicrystals. Appl. Math. Mech. 37, 331–347 (2016), in Chinese (2016). arXiv:1908.06425 [cond-mat.soft], Oct 15, 2019

Fan, T.Y.: Generalized hydrodynamics of the second kind of two-dimensional quasicrystals in soft matter. Appl. Math. Mech. 38, 189–199 (2017), in Chinese; arXiv:1908.06430 [cond-mat.soft], Oct 15, 2019

Hu, C.Z., Ding, D.H., Yang, W.G., Wang, R.H.: Possible two-dimensional quasicystal structure. Phys. Rev. B 49, 9423–9427 (1994)ADSCrossRef

Li, X.F., Fan, T.Y.: Dislocations in the second kind two-dimensional quasicrystals of soft matter. Physica B 52, 175–180 (2016)ADSCrossRef

Fan, T.Y.: Mathematical Theory and Relevant Topics of Solid and Soft-Matter Quasicrystals and Its Applications. Beijing Institute of Technology Press, Beijing, Chinese (2014)

Tang, Z.Y., Fan, T.Y.: Point groups and group representation theory of second kind of two-dimensional quasicrystals, unpublished work (2017)

Wang, F., Fan, T.Y.: The new results of second kind soft-matter quasicrystals of point group , submitted (2020)

Title: The Possible 7-, 9-, and 14-fold Symmetry Quasicrystals in Soft Matter
Authors: Tian-You Fan
Wenge Yang
Hui Cheng
Xiao-Hong Sun
Publisher: Springer Nature Singapore
Book: Generalized Dynamics of Soft-Matter Quasicrystals
Print ISBN: 978-981-16-6627-8

Electronic ISBN: 978-981-16-6628-5

Copyright Year: 2022
DOI: https://doi.org/10.1007/978-981-16-6628-5_11