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Polyomino Models of Surface Supramolecular Assembly: Design Constraints and Structural Selectivity

2017/02/07 by Joel Nicholls, J. N. NICHOLLS, Gareth P. Alexander +4 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Luminescence and Fluorescent Materials #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Supramolecular Self-Assembly in Materials #Surface Chemistry and Catalysis #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1702.01994

arxiv created 2017/02/07 · openalex publication_date 2017/02/07 · arxiv updated 2017/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine emergent properties of 2D supramolecular networks, using enumeration of configurations formed by interacting dominoes on square lattices as a simple model system. Possible ground states are identified using a convex hull construction in the interaction parameters for nearest-neighbour bonds. We demonstrate how this construction can be used to design interaction parameters which lead to networks with specific properties, including chirality and highly degenerate ground states. We then introduce kinetics as simple local rearrangements. By partitioning the configuration space into smaller sets which satisfy different topological constraints, we can design configurations which are kinetically trapped. By considering heat capacity curves along directions through the convex hull, we also demonstrate design of interacting domino configurations to create tilings robust against temperature induced phase transitions. We discuss extension of this design construction to more complex molecular shapes.

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