# Self-assembly of monodisperse clusters: Dependence on target geometry

Source: [Self-assembly of monodisperse clusters: Dependence on target geometry](<https://www.sota2.com/research/paper/68fa28f61e209131ce82fe06>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:59.032Z

Authors: Alex W. Wilber, Jonathan P. K. Doye, Ard A. Louis

Published: 2009-07-28T01:06:44.000Z

## Abstract

We apply a simple model system of patchy particles to study monodisperse self-assembly, using the Platonic solids as target structures. We find marked differences between the assembly behaviours of the different systems. Tetrahedra, octahedra and icosahedra assemble easily, while cubes are more challenging and dodecahedra do not assemble. We relate these differences to the kinetics and thermodynamics of assembly, with the formation of large disordered aggregates a particular important competitor to correct assembly. In particular, the free energy landscapes of those targets that are easy to assemble are funnel-like, whereas for the dodecahedral system the landscape is relatively flat with little driving force to facilitate escape from disordered aggregates.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0907.4807>)

[PDF](<https://arxiv.org/pdf/0907.4807.pdf>)