Shape selection in chiral ribbons: from seed pods to supramolecular assemblies

被引:83
作者
Armon, Shahaf [1 ]
Aharoni, Hillel [1 ]
Moshe, Michael [1 ]
Sharon, Eran [1 ]
机构
[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91905 Jerusalem, Israel
基金
欧洲研究理事会;
关键词
FORCE;
D O I
10.1039/c3sm52313f
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We provide a geometric-mechanical model for calculating equilibrium configurations of chemical systems that self-assemble into chiral ribbon structures. The model is based on incompatible elasticity and uses dimensionless parameters to determine the equilibrium configurations. As such, it provides universal curves for the shape and energy of self-assembled ribbons. We provide quantitative predictions for the twisted-to-helical transition, which was observed experimentally in many systems, and demonstrate it with synthetic ribbons made of responsive gels. In addition, we predict the bi-stability of wide ribbons and also show how geometrical frustration can cause arrest of ribbon widening. Finally, we show that the model's predictions provide explanations for experimental observations in different chemical systems.
引用
收藏
页码:2733 / 2740
页数:8
相关论文
共 33 条
[1]   Direct Observation of Time-Resolved Polymorphic States in the Self-Assembly of End-Capped Heptapeptides [J].
Adamcik, Jozef ;
Castelletto, Valeria ;
Bolisetty, Sreenath ;
Hamley, Ian W. ;
Mezzenga, Raffaele .
ANGEWANDTE CHEMIE-INTERNATIONAL EDITION, 2011, 50 (24) :5495-5498
[2]  
Adamcik J, 2010, NAT NANOTECHNOL, V5, P423, DOI [10.1038/NNANO.2010.59, 10.1038/nnano.2010.59]
[3]  
[Anonymous], 2006, ELEMENTARY DIFFERENT, DOI DOI 10.1090/CHEL/341/01
[4]   Geometry and Mechanics in the Opening of Chiral Seed Pods [J].
Armon, Shahaf ;
Efrati, Efi ;
Kupferman, Raz ;
Sharon, Eran .
SCIENCE, 2011, 333 (6050) :1726-1730
[5]   From chiral counterions to twisted membranes [J].
Berthier, D ;
Buffeteau, T ;
Léger, JM ;
Oda, R ;
Huc, I .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 2002, 124 (45) :13486-13494
[6]   Counterion, temperature, and time modulation of nanometric chiral ribbons from gemini-tartrate amphiphiles [J].
Brizard, Aurelie ;
Aime, Carole ;
Labrot, Thomas ;
Huc, Ivan ;
Berthier, Damien ;
Artzner, Franck ;
Desbat, Bernard ;
Oda, Reiko .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 2007, 129 (12) :3754-3762
[7]   Molecular and Supramolecular Chirality in Gemini-Tartrate Amphiphiles Studied by Electronic and Vibrational Circular Dichroisms [J].
Brizard, Aurelie ;
Berthier, Damien ;
Aime, Carole ;
Buffeteau, Thierry ;
Cavagnat, Dominique ;
Ducasse, Laurent ;
Huc, Ivan ;
Oda, Reiko .
CHIRALITY, 2009, 21 (1E) :E153-E162
[8]   Tunable helical ribbons [J].
Chen, Z. ;
Majidi, C. ;
Srolovitz, D. J. ;
Haataja, M. .
APPLIED PHYSICS LETTERS, 2011, 98 (01)
[9]   Nonlinear Geometric Effects in Mechanical Bistable Morphing Structures [J].
Chen, Zi ;
Guo, Qiaohang ;
Majidi, Carmel ;
Chen, Wenzhe ;
Srolovitz, David J. ;
Haataja, Mikko P. .
PHYSICAL REVIEW LETTERS, 2012, 109 (11)
[10]   ELASTIC FREE-ENERGY OF ANISOTROPIC HELICAL RIBBONS AS METASTABLE INTERMEDIATES IN THE CRYSTALLIZATION OF CHOLESTEROL [J].
CHUNG, DS ;
BENEDEK, GB ;
KONIKOFF, FM ;
DONOVAN, JM .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1993, 90 (23) :11341-11345