Competing Hexagonal and Square Lattices on a Spherical Surface.

Nano Lett

School of Physics and Key Laboratory of Functional Polymer Materials of Ministry of Education, Nankai University, and Collaborative Innovation Center of Chemical Science and Engineering, Tianjin 300071, China.

Published: January 2025

The structural properties of packed soft-core particles provide a platform to understand the cross-pollinated physical concepts in solid-state and soft-matter physics. Confined on a spherical surface, the traditional differential geometry also dictates the overall defect properties in otherwise regular crystal lattices. Using molecular dynamics simulation of the Hertzian model as a tool, we report here the emergence of new types of disclination patterns: domain and counter-domain defects, when hexagonal and square patterns coexist. A new angle is presented to understand the incompatibility between tiling lattice shapes and the available spherical areal shapes, which is common in nature─from molecular systems in biology to backbone construction in architectures.

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http://dx.doi.org/10.1021/acs.nanolett.4c05865DOI Listing

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