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Heptatic liquid quasi-crystals by colloidal lithographic pre-assembly.

Tianren Yu1, Thomas G Mason2

  • 1Department of Chemistry and Biochemistry, University of California-Los Angeles, Los Angeles, CA 90095, USA.

Journal of Colloid and Interface Science
|March 27, 2024
PubMed
Summary

Colloidal tiles forming quasi-crystals (QCs) can transition into a heptatic liquid quasi-crystal (LQC) phase. This phase exhibits complex dynamics and hierarchical structures, offering insights into phase transitions in complex systems.

Keywords:
Heptatic phaseHeterogeneous dynamicsLiquid crystalLithographyQuasi-crystal

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Area of Science:

  • Soft Matter Physics
  • Crystallography
  • Materials Science

Background:

  • Quasi-crystals (QCs) exhibit symmetries not found in traditional crystals.
  • Understanding phase transitions in complex particle assemblies is crucial.
  • Brownian dynamics in confined or dense systems present unique challenges.

Purpose of the Study:

  • To investigate the emergence of a heptatic liquid quasi-crystal (LQC) phase from pre-assembled lithographic seven-fold QCs.
  • To analyze the heterogeneous dynamics and structural hierarchy within the LQC phase.
  • To explore novel methods for analyzing complex particle assemblies.

Main Methods:

  • Fabrication of seven-fold QCs using lithographically pre-assembled monolayers (litho-PAMs) with three rhombic tile shapes.
  • High-resolution optical microscopy for spatio-temporal particle tracking of Brownian fluctuations.
  • Development of an edge-proximity tessellation method for analyzing nearest neighbors in dense systems.

Main Results:

  • Identification of a fluctuating heptatic LQC phase at high tile area fractions.
  • Observation of heterogeneous dynamics and multi-length scale order, indicating hierarchical motif structures.
  • Demonstration of collective motif rotations, analogous to phason-flips, leading to gradual order loss.

Conclusions:

  • The heptatic LQC phase emerges from dense colloidal quasi-crystals and displays complex dynamics.
  • Hierarchical structures and collective dynamics are key features of this LQC phase.
  • Edge-proximity tessellation is a promising tool for studying phase transitions in geometrically complex systems.