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Characterization of Self-Assembled 2D Patterns with Voronoi Entropy
Edward Bormashenko1, Mark Frenkel1, Alla Vilk1
1Department of Chemical Engineering, Biotechnology and Materials, Engineering Sciences Faculty, Ariel University, Ariel 407000, Israel.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
Voronoi entropy quantifies surface point orderliness, aiding self-assembly studies. This mathematical tool analyzes tessellation properties and scaling laws, with applications in microporous polymers and water droplet clusters.
Area of Science:
- Surface Science
- Materials Science
- Statistical Physics
Background:
- Voronoi tessellation is a fundamental geometric structure.
- Surface self-assembly processes involve complex point distributions.
- Understanding orderliness is key to characterizing material properties.
Purpose of the Study:
- Introduce Voronoi entropy as a quantitative tool for surface order.
- Provide historical context and discuss theoretical underpinnings.
- Demonstrate applications in novel self-assembled structures.
Main Methods:
- Historical review of Voronoi entropy development.
- Analysis of topological and scaling properties of Voronoi tessellations.
- Application of Voronoi entropy to experimental data from self-assembled systems.
Main Results:
- Voronoi entropy offers a robust method for characterizing surface order.
- The Lewis and Aboav-Weaire laws describe scaling properties.
- Successful application to microporous polymer surfaces and water microdroplet clusters.
Conclusions:
- Voronoi entropy is a valuable tool for studying surface self-assembly.
- Its application reveals insights into the order of patterned surfaces.
- The method is versatile for diverse self-assembled systems.
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