Huaqing Liu(柳华清)1,†, Yiwu Zong(宗奕吾)1,†, Zhanglin Hou(侯章林)2, Thomas G. Mason3,4,‡, and Kun Zhao(赵坤)1,5,§
1 Key Laboratory of Systems Bioengineering(Ministry of Education), School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China; 2 Wenzhou Institute, University of Chinese Academy of Sciences, Wenzhou 325001, China; 3 Department of Physics and Astronomy, University of California-Los Angeles, Los Angeles, CA 90095, USA; 4 Department of Chemistry and Biochemistry, University of California-Los Angeles, Los Angeles, CA 90095, USA; 5 Physics Department, Tianjin University, Tianjin 300072, China
Abstract Previous Monte Carlo simulations have shown that ordered tetratic phases can emerge in a dense two-dimensional Brownian system of rotationally asymmetric hard kites having 90° internal angles. However, there have been no experimental investigations yet to compare with these simulation results. Here, we have fabricated two types of micron-sized kites having internal angles of 72°-90°-108°-90° and 72°-99°-90°-99°, respectively, and we have experimentally studied their phase behavior in two-dimensional systems. Interestingly and in contrast to the Monte Carlo simulations, the experimental results show a phase sequence of isotropic fluid-hexagonal rotator crystal-square crystal as the area fraction φA increases for both types of kites. The observed square crystal displays not only a quasi-long-range translational order but also (quasi-)long-range 4-fold bond- and molecular-orientational order; these characteristics confirm that tetratic order can emerge even in dense Brownian systems of rotationally asymmetric particles. A model based on local polymorphic configurations (LPCs) is proposed to understand the origin of the square lattice order in these dense kite systems. The results in this study provide a new route to realize custom-designed self-assembly of colloids by controlling LPCs.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11874277 and 21621004, and 11704276) and the Natural Science Foundation of Tianjin, China (Grant No. 19JCQNJC14900).
Corresponding Authors:
Thomas G. Mason, Kun Zhao
E-mail: mason@chem.ucla.edu;kunzhao@tju.edu.cn
Cite this article:
Huaqing Liu(柳华清), Yiwu Zong(宗奕吾), Zhanglin Hou(侯章林), Thomas G. Mason, and Kun Zhao(赵坤) Phase behavior of rotationally asymmetric Brownian kites containing 90° internal angles 2021 Chin. Phys. B 30 124701
[1] Russel W B, Saville D A and Schowalter W R 1992 Colloidal dispersions, Vol. 54 (Cambridge, UK:John Wiley & Sons, Ltd) [2] Gasser U, Weeks E R, Schofield A, Pusey P N and Weitz D A 2001 Science292 258 [3] Anderson V J and Lekkerkerker H N W 2002 Nature416 811 [4] Poon W 2004 Science304 830 [5] Alsayed A M, Islam M F, Zhang J, Collings P J and Yodh A G 2005 Science309 1207 [6] Mattsson J, Wyss H M, Fernandez-Nieves A, Miyazaki K, Hu Z, Reichman D R and Weitz D A 2009 Nature462 83 [7] Wang Z, Wang F, Peng Y, Zheng Z and Han Y 2012 Science338 87 [8] Manoharan V N 2015 Science349 1253751 [9] Anderson J A, Antonaglia J, Millan J A, Engel M and Glotzer S C 2017 Phys. Rev. X7 021001 [10] Ma X, Mishra C K, Habdas P and Yodh A G 2021 J. Chem. Phys.155 074902 [11] Pusey P N and van Megen W 1986 Nature320 340 [12] Zhu J, Li M, Rogers R, Meyer W, Ottewill R H, Russel W B, Chaikin P M and Crew S T S S S 1997 Nature387 883 [13] Kegel W K and Blaaderen A V 2000 Science287 290 [14] Weeks E R, Crocker J C, Levitt A C, Schofield A and Weitz D A 2000 Science287 627 [15] Cheng Z, Chaikin P M, Russel W B, Meyer W V, Zhu J, Rogers R B and Ottewill R H 2001 Materials & Design22 529 [16] Vieillard-Baron J 1972 J. Chem. Phys.56 4729 [17] Yunker P J, Chen K, Zhang Z, Ellenbroek W G, Liu A J and Yodh A G 2011 Phys. Rev. E83 011403 [18] Zheng Z, Ni R, Wang F, Dijkstra M, Wang Y, Han Y 2014 Nat. Commun.5 3829 [19] Mizani S, Gurin P, Aliabadi R, Salehi H and Varga S 2020 J. Chem. Phys.153 034501 [20] Bates M A and Frenkel D 2000 J. Chem. Phys.112 10034 [21] Donev A, Burton J, Stillinger F H and Torquato S 2006 Phys. Rev. B73 054109 [22] Glotzer S C and Solomon M J 2007 Nat. Mater.6 557 [23] Hou Z, Zong Y, Sun Z, Ye F, Mason T G and Zhao K 2020 Nat. Commun.11 2064 [24] Zhao K, Bruinsma R and Mason T G 2011 Proc. Natl. Acad. Sci. USA108 2684 [25] Zhao K and Mason T G 2007 Phys. Rev. Lett.99 268301 [26] Zhao K and Mason T G 2015 Proc. Natl. Acad. Sci. USA112 12063 [27] Schilling T, Pronk S, Mulder B and Frenkel D 2005 Phys. Rev. E71 036138 [28] Shen W, Antonaglia J, Anderson J A, Engel M, van Anders G and Glotzer S C 2019 Soft Matter15 2571
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.