Self-assembly of like-charged nanoparticles into Voronoi diagrams

Dániel Zámbó, Kohta Suzuno, Szilárd Pothorszky, Dóra Bárdfalvy, Gábor Holló, Hideyuki Nakanishi, Dawei Wang, Daishin Ueyama, András Deák, István Lagzi

Research output: Contribution to journalArticle

5 Citations (Scopus)


The self-assembly of nanoscopic building blocks into higher order macroscopic patterns is one possible approach for the bottom-up fabrication of complex functional systems. Macroscopic pattern formation, in general, is determined by the reaction and diffusion of ions and molecules. In some cases macroscopic patterns emerge from diffusion and interactions existing between nanoscopic or microscopic building blocks. In systems where the distribution of the interaction-determining species is influenced by the presence of a diffusion barrier, the evolving macroscopic patterns will be determined by the spatiotemporal evolution of the building blocks. Here we show that a macroscopic pattern can be generated by the spatiotemporally controlled aggregation of like-charged carboxyl-terminated gold nanoparticles in a hydrogel, where clustering is induced by the screening effect of the sodium ions that diffuse in a hydrogel. Diffusion fronts of the sodium ions and the induced nanoparticle aggregation generate Voronoi diagrams, where the Voronoi cells consist of aggregated nanoparticles and their edges are aggregation-free and nanoparticle-free zones. We also developed a simple aggregation-diffusion model to adequately describe the evolution of the experimentally observed Voronoi patterns.

Original languageEnglish
Pages (from-to)25735-25740
Number of pages6
JournalPhysical Chemistry Chemical Physics
Issue number36
Publication statusPublished - 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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  • Cite this

    Zámbó, D., Suzuno, K., Pothorszky, S., Bárdfalvy, D., Holló, G., Nakanishi, H., Wang, D., Ueyama, D., Deák, A., & Lagzi, I. (2016). Self-assembly of like-charged nanoparticles into Voronoi diagrams. Physical Chemistry Chemical Physics, 18(36), 25735-25740.