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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.00871 |
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| _version_ | 1866917905036214272 |
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| author | Cheng, Nan Sun, Kai Mao, Xiaoming |
| author_facet | Cheng, Nan Sun, Kai Mao, Xiaoming |
| contents | Geometric frustration is a fundamental concept in various areas of physics, and its role in self-assembly processes has recently been recognized as a source of intricate self-limited structures. Here we present an analytic theory of the geometrically frustrated self-assembly of regular icosahedral nanoparticle based on the non-Euclidean crystal {3, 5, 3} formed by icosahedra in hyperbolic space. By considering the minimization of elastic and repulsion energies, we characterize prestressed morphologies in this self-assembly system. Notably, the morphology exhibits a transition that is controlled by the size of the assembled cluster, leading to the spontaneous breaking of rotational symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00871 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometrically frustrated self-assembly of hyperbolic crystals from icosahedral nanoparticles Cheng, Nan Sun, Kai Mao, Xiaoming Soft Condensed Matter Geometric frustration is a fundamental concept in various areas of physics, and its role in self-assembly processes has recently been recognized as a source of intricate self-limited structures. Here we present an analytic theory of the geometrically frustrated self-assembly of regular icosahedral nanoparticle based on the non-Euclidean crystal {3, 5, 3} formed by icosahedra in hyperbolic space. By considering the minimization of elastic and repulsion energies, we characterize prestressed morphologies in this self-assembly system. Notably, the morphology exhibits a transition that is controlled by the size of the assembled cluster, leading to the spontaneous breaking of rotational symmetry. |
| title | Geometrically frustrated self-assembly of hyperbolic crystals from icosahedral nanoparticles |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2306.00871 |