Phase behavior of rotationally asymmetric Brownian kites containing 90° internal angles

doi:10.1088/1674-1056/ac306c

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 124701-124701.doi: 10.1088/1674-1056/ac306c

Phase behavior of rotationally asymmetric Brownian kites containing 90° internal angles

Huaqing Liu(柳华清)^1,†, Yiwu Zong(宗奕吾)^1,†, Zhanglin Hou(侯章林)², Thomas G. Mason^3,4,‡, 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

收稿日期:2021-09-11 修回日期:2021-10-08 接受日期:2021-10-18 出版日期:2021-11-15 发布日期:2021-12-02
通讯作者: Thomas G. Mason, Kun Zhao E-mail:mason@chem.ucla.edu;kunzhao@tju.edu.cn
基金资助:
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).

Phase behavior of rotationally asymmetric Brownian kites containing 90° internal angles

Huaqing Liu(柳华清)^1,†, Yiwu Zong(宗奕吾)^1,†, Zhanglin Hou(侯章林)², Thomas G. Mason^3,4,‡, 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

Received:2021-09-11 Revised:2021-10-08 Accepted:2021-10-18 Online:2021-11-15 Published:2021-12-02
Contact: Thomas G. Mason, Kun Zhao E-mail:mason@chem.ucla.edu;kunzhao@tju.edu.cn
Supported by:
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).

1. 2021-124701-SI.pdf(1698KB)

摘要/Abstract

摘要： 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 φ_A 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.

关键词: tetratic order, colloidal kites, two-dimentional system, phase behavior

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 φ_A 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.

Key words: tetratic order, colloidal kites, two-dimentional system, phase behavior

中图分类号: (Colloidal systems)

47.57.J-

03.65.Vf (Phases: geometric; dynamic or topological) 75.40.Cx (Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.))

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[J]. 中国物理B, 2021, 30(12): 124701-124701.

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Phase behavior of rotationally asymmetric Brownian kites containing 90° internal angles

Phase behavior of rotationally asymmetric Brownian kites containing 90° internal angles

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