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Entropically engineered formation of fivefold and icosahedral twinned clusters of colloidal shapes

Author

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  • Sangmin Lee

    (University of Michigan
    University of Washington)

  • Sharon C. Glotzer

    (University of Michigan
    University of Michigan)

Abstract

Fivefold and icosahedral symmetries induced by multiply twinned crystal structures have been studied extensively for their role in influencing the shape of synthetic nanoparticles, and solution chemistry or geometric confinement are widely considered to be essential. Here we report the purely entropy-driven formation of fivefold and icosahedral twinned clusters of particles in molecular simulation without geometric confinement or chemistry. Hard truncated tetrahedra self-assemble into cubic or hexagonal diamond colloidal crystals depending on the amount of edge and vertex truncation. By engineering particle shape to achieve a negligible entropy difference between the two diamond phases, we show that the formation of the multiply twinned clusters is easily induced. The twinned clusters are entropically stabilized within a dense fluid by a strong fluid-crystal interfacial tension arising from strong entropic bonding. Our findings provide a strategy for engineering twinning behavior in colloidal systems with and without explicit bonding elements between particles.

Suggested Citation

  • Sangmin Lee & Sharon C. Glotzer, 2022. "Entropically engineered formation of fivefold and icosahedral twinned clusters of colloidal shapes," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-34891-5
    DOI: 10.1038/s41467-022-34891-5
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    References listed on IDEAS

    as
    1. Zhe Gong & Theodore Hueckel & Gi-Ra Yi & Stefano Sacanna, 2017. "Patchy particles made by colloidal fusion," Nature, Nature, vol. 550(7675), pages 234-238, October.
    2. Amir Haji-Akbari & Michael Engel & Aaron S. Keys & Xiaoyu Zheng & Rolfe G. Petschek & Peter Palffy-Muhoray & Sharon C. Glotzer, 2009. "Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra," Nature, Nature, vol. 462(7274), pages 773-777, December.
    3. Junwei Wang & Chrameh Fru Mbah & Thomas Przybilla & Benjamin Apeleo Zubiri & Erdmann Spiecker & Michael Engel & Nicolas Vogel, 2018. "Magic number colloidal clusters as minimum free energy structures," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
    4. Yasutaka Nagaoka & Rui Tan & Ruipeng Li & Hua Zhu & Dennis Eggert & Yimin A. Wu & Yuzi Liu & Zhongwu Wang & Ou Chen, 2018. "Superstructures generated from truncated tetrahedral quantum dots," Nature, Nature, vol. 561(7723), pages 378-382, September.
    5. Erin G. Teich & Greg van Anders & Sharon C. Glotzer, 2019. "Identity crisis in alchemical space drives the entropic colloidal glass transition," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    Full references (including those not matched with items on IDEAS)

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