Stability of Colloidal Quasicrystals
A. R. Denton (Juelich), H. Lowen (Duesseldorf, Juelich)

TL;DR
This study uses thermodynamic perturbation theory to analyze the stability of colloidal quasicrystals, identifying conditions where they are thermodynamically favored over other crystal forms.
Contribution
It introduces a model combining electrostatic and attractive interactions to predict the stability of colloidal quasicrystals, highlighting the balance of entropy and energy.
Findings
Parameters identified that stabilize quasicrystals thermodynamically
Effective pair potentials include electrostatic and attractive forces
Conditions favoring quasicrystal formation are characterized
Abstract
Freezing of charge-stabilized colloidal suspensions and relative stabilities of crystals and quasicrystals are studied using thermodynamic perturbation theory. Macroion interactions are modelled by effective pair potentials combining electrostatic repulsion with polymer-depletion or van der Waals attraction. Comparing free energies -- counterion terms included -- for elementary crystals and rational approximants to icosahedral quasicrystals, parameters are identified for which one-component quasicrystals are stabilized by a compromise between packing entropy and cohesive energy.
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