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Decoding collective dynamics and complexity in nanoparticle assemblies using graph theory
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DOI：10.1126/science.aeb5134.png)
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Abstract
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Self-assembly of nanoparticles often produces structures that lie between crystalline order and complete disorder, but describing these states remains challenging. Hallstrom et al. applied graph theory to quantify the evolution of truncated gold nanocube assemblies imaged using electron microscopy. They showed that Ollivier-Ricci curvature and augmented Forman-Ricci curvature can track global structural complexity and local energetic stability, respectively. Moreover, they revealed that an intermediate, partially ordered network coincides with the strongest plasmonic responses. Finally, they confirmed that this theory is generalizable to other systems such as gold nanoprisms and indium tin oxide nanospheres. —Jack Huang
Keywords:
graph theory
nanoparticle assemblies
self-assembly
plasmonic responses
structural complexity
Journal
IF:
45.8
Papers:
1.4W
Citations:
78.6W
Organization
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