ArticleProceedings of the National Academy of Sciences of the United States of America2016
Clusters of polyhedra in spherical confinement.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Emergent Properties from Three-Dimensional Assemblies of (Nano)particles in Confined Spaces.Crystal growth & design · 2024Review
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- Hydrogel Magnetomechanical Actuator Nanoparticles for Wireless Remote Control of MechanosignalingNano letters · 2023Article
- Shape and interaction decoupling for colloidal preassembly.Science advances · 2022Article
- Coloration in Supraparticles Assembled from Polyhedral Metal-Organic Framework Particles.Angewandte Chemie (International ed. in English) · 2022Article
- Why Should Natural Principles Be Simple?Philosophia (Ramat-Gan, Israel) · 2022Article
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- From Single-Core Nanoparticles in Ferrofluids to Multi-Core Magnetic Nanocomposites: Assembly Strategies, Structure, and Magnetic Behavior.Nanomaterials (Basel, Switzerland) · 2020Review
- Supramolecular Packing Drives Morphological Transitions of Charged Surfactant Micelles.Angewandte Chemie (International ed. in English) · 2020Article
- Uncovering the effects of interface-induced ordering of liquid on crystal growth using machine learning.Nature communications · 2020Article
- Six-fold director field configuration in amyloid nematic and cholesteric phases.Scientific reports · 2019Article
- Magic number colloidal clusters as minimum free energy structures.Nature communications · 2018Article
- Entropic effects in cell lineage tree packings.Nature physics · 2018Article
- Interplay between spherical confinement and particle shape on the self-assembly of rounded cubes.Nature communications · 2018Article
- Colloidal cholesteric liquid crystal in spherical confinement.Nature communications · 2016Article
- Soluto-inertial phenomena: Designing long-range, long-lasting, surface-specific interactions in suspensions.Proceedings of the National Academy of Sciences of the United States of America · 2016Article
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5 authors.
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Abstract
Dense particle packing in a confining volume remains a rich, largely unexplored problem, despite applications in blood clotting, plasmonics, industrial packaging and transport, colloidal molecule design, and information storage. Here, we report densest found clusters of the Platonic solids in spherical confinement, for up to [Formula: see text] constituent polyhedral particles. We examine the interplay between anisotropic particle shape and isotropic 3D confinement. Densest clusters exhibit a wide variety of symmetry point groups and form in up to three layers at higher N. For many N values, icosahedra and dodecahedra form clusters that resemble sphere clusters. These common structures are layers of optimal spherical codes in most cases, a surprising fact given the significant faceting of the icosahedron and dodecahedron. We also investigate cluster density as a function of N for each particle shape. We find that, in contrast to what happens in bulk, polyhedra often pack less densely than spheres. We also find especially dense clusters at so-called magic numbers of constituent particles. Our results showcase the structural diversity and experimental utility of families of solutions to the packing in confinement problem.
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