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Updated: May 1, 2026

Controlling the Size, Shape and Stability of Supramolecular Polymers in Water
Published on: August 2, 2012
Shape selection in chiral ribbons: from seed pods to supramolecular assemblies
Shahaf Armon1, Hillel Aharoni, Michael Moshe
1The Racah Institute of Physics, The Hebrew University of Jerusalem, Israel. erans@mail.huji.ac.il.
This study introduces a geometric-mechanical model for self-assembling chiral ribbons. The model predicts universal shapes and energies, explaining experimental observations in responsive gel systems.
Area of Science:
- Materials Science
- Chemical Engineering
- Theoretical Chemistry
Background:
- Chemical systems can self-assemble into complex structures like chiral ribbons.
- Understanding the equilibrium configurations of these ribbons is crucial for material design.
Purpose of the Study:
- To develop a geometric-mechanical model for predicting equilibrium configurations of self-assembling chiral ribbons.
- To provide universal predictions for ribbon shape and energy.
- To explain experimental observations in various chemical systems.
Main Methods:
- Utilizing a model based on incompatible elasticity.
- Employing dimensionless parameters to determine equilibrium configurations.
- Quantitative prediction and experimental demonstration with responsive gels.
Main Results:
- Universal curves for the shape and energy of self-assembled ribbons.
- Quantitative predictions for the twisted-to-helical transition.
- Prediction of ribbon bi-stability and geometrical frustration effects.
Conclusions:
- The geometric-mechanical model accurately predicts chiral ribbon configurations.
- The model successfully explains experimental phenomena in diverse chemical systems.
- Provides a framework for designing and understanding self-assembled ribbon structures.
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