Structural optimization of model colloidal clusters at the air–water interface using genetic algorithms

Iwamatsu, Masao

doi:10.1016/s0021-9797(02)00251-5

Cited by 1 publication

(6 citation statements)

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“…The first few Lennard-Jones clusters are moniamond for n c = 3, diamond for n c = 4, triamond for n c = 5, tetriamond (chevron) for n c = 6, pentiamond (n c = 7), and hexiamond (hexagon) for n c = 8. Notably, all of predicted cluster structures, which can be regarded as a spreading of triangular networks, seem to be the same as those of M 2 -minimal clusters for a given value of n c [23,44]. The minimum colloid-colloid pair interaction, which is the sum of van der Waals attraction and dipolar repulsion, also produces configurations identical to that of both the Lennard-Jones cluster and M 2 -minimal cluster [23].…”

Section: Resultsmentioning

confidence: 67%

“…Notably, all of predicted cluster structures, which can be regarded as a spreading of triangular networks, seem to be the same as those of M 2 -minimal clusters for a given value of n c [23,44]. The minimum colloid-colloid pair interaction, which is the sum of van der Waals attraction and dipolar repulsion, also produces configurations identical to that of both the Lennard-Jones cluster and M 2 -minimal cluster [23]. However, for hard-discs interacting via a short-ranged depletion attraction, the geometric structure of clusters, for example, for n c = 6, adopts three different ground state configurations; namely, parallelogram, chevron and triangle [20].…”

Section: Resultsmentioning

confidence: 71%

“…The geometric structure of clusters as a function of the number of constituent particles in the plane has been studied theoretically. The optimal packings are obtained using the Lennard-Jones potential [23], minimal second moment of the mass distribution (M…”

Section: Resultsmentioning

confidence: 99%

“…The geometry of two-dimensional Lennard-Jones clusters where the particles interact via the Lennard-Jones potential was predicted based on genetic algorithm [23]. The first few Lennard-Jones clusters are moniamond for n c = 3, diamond for n c = 4, triamond for n c = 5, tetriamond (chevron) for n c = 6, pentiamond (n c = 7), and hexiamond (hexagon) for n c = 8.…”

Section: Resultsmentioning

confidence: 99%

“…However, the authors did not identify the observed cluster structures. Iwamatsu [23] analyzed the lowest energy structure of 2D colloidal clusters as a function of n c using a realistic model potential, which consists of a short-ranged van der Waals attractive interaction and a long range dipolar electrostatic repulsion. Although all of the predicted cluster configurations match exactly those of Lennard-Jones 2D clusters, they are not always consistent with experimental structures [24,25]; for example, for n c = 7 the predicted cluster adopts a regular hexagonal structure, whereas the experimentally observed cluster forms a circular shell structure.…”

Section: Introductionmentioning

confidence: 99%

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Two-Dimensional Clusters of Colloidal Particles Induced by Emulsion Droplet Evaporation

et al. 2020

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The minimization principle of the second moment of the mass distribution ( M 2 ) is responsible for the unique structure of three-dimensional clusters by using emulsion droplet evaporation. Herein we study the structure of two-dimensional clusters of colloidal particles bound at the interface of liquid droplets in the plane. We found that, differently from the three-dimensional system, the two-dimensional clusters have multiple degenerate configurations (isomers). An interesting feature of such two-dimensional clusters is that they have the same packings as those belonging to a class of geometric figures known as polyiamonds. In particular, except for the six-particle cluster, many higher order clusters of polyiamond have not been reported previously. Using a simple geometrical approach, based on the number of ways to generate a packing, we calculated the occupation probabilities of distinct isomeric clusters. The level of agreement with the results of metropolis Monte Carlo simulations was good for clusters containing up to nine particles, suggesting that our two-dimensional cluster structures are not a result of the minimization of the second moment. In addition, the structure of these clusters is somewhat insensitive to the range and depth of the interparticle potential, in good agreement with the results in the literature.

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Section: Resultsmentioning

confidence: 67%