Helical Defect Packings in a Quasi-One-Dimensional System of Cylindrically Confined Hard Spheres

Yamchi, Mahdi Zaeifi; Bowles, Richard K.

doi:10.1103/physrevlett.115.025702

Cited by 18 publications

(16 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Bubbles, emulsion droplets, hydrogel or plastic spheres are common constituents of such structures in laboratory experiments. They can crystallise spontaneously when confined in cylindrical tubes [9][10][11]. For hard spheres the densest arrangement depends critically on the ratio of D, the cylinder diameter, to d, the sphere diameter, as was found in computer simulations [12][13][14][15][16][17].…”

mentioning

confidence: 94%

Theory of rotational columnar structures of soft spheres

et al. 2019

View full text Add to dashboard Cite

There is a growing interest in cylindrical structures of hard and soft particles. A promising new method to assemble such structures has recently been introduced by Lee et al. [T. Lee, K. Gizynski, and B. Grzybowski, Adv. Mater. 29, 1704274 (2017)]. They used rapid rotation around a central axis to drive spheres of lower density than the surrounding fluid towards this axis. This resulted in different structures as the number of spheres is varied. Here we present comprehensive analytic energy calculations for such self-assembled structures, based on a generic soft sphere model, from which we obtain a phase diagram. It displays interesting features, including peritectoid points. These analytic calculations are complemented by preliminary numerical simulations for finite sample sizes with soft spheres. A similar analytic approach could be used to study packings of spheres inside cylinders of fixed dimensions, but with a variation in the number of spheres.

show abstract

mentioning

confidence: 94%

Theory of rotational columnar structures of soft spheres

et al. 2019

View full text Add to dashboard Cite

show abstract

“…Consequently, control over their structure enables control over their optical properties, with implications for cloaking (23), chemical sensing (24), imaging (25), nonlinear optics (26), and the creation of so-called metafluids (27)(28)(29), among a host of other applications (30). Recent work on plasmonic nanoclusters of faceted particles including nanocubes (31), nanoprisms (32), and nanooctahedra (33) introduces an additional means by which to tailor optical response.While some theoretical studies have addressed the confinement of anisotropic particles in one or two dimensions (34-38), a majority have focused on the confinement of spherical particles in one, two, and three dimensions (8,19,(39)(40)(41)(42)(43)(44)(45)(46)(47)(48)(49)(50). There have also been studies of 2D packings of circles, ellipses, and convex polygons (9, 51-55).…”

mentioning

confidence: 99%

“…While some theoretical studies have addressed the confinement of anisotropic particles in one or two dimensions (34-38), a majority have focused on the confinement of spherical particles in one, two, and three dimensions (8,19,(39)(40)(41)(42)(43)(44)(45)(46)(47)(48)(49)(50). There have also been studies of 2D packings of circles, ellipses, and convex polygons (9, 51-55).…”

mentioning

confidence: 99%

Clusters of polyhedra in spherical confinement

Teich

Anders

Klotsa

et al. 2016

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

Dense particle packing in a confining volume remains a rich, largely unexplored problem, despite applications in blood clotting, plasmonics, industrial packaging and transport, colloidal molecule design, and information storage. Here, we report densest found clusters of the Platonic solids in spherical confinement, for up to N = 60 constituent polyhedral particles. We examine the interplay between anisotropic particle shape and isotropic 3D confinement. Densest clusters exhibit a wide variety of symmetry point groups and form in up to three layers at higher N. For many N values, icosahedra and dodecahedra form clusters that resemble sphere clusters. These common structures are layers of optimal spherical codes in most cases, a surprising fact given the significant faceting of the icosahedron and dodecahedron. We also investigate cluster density as a function of N for each particle shape. We find that, in contrast to what happens in bulk, polyhedra often pack less densely than spheres. We also find especially dense clusters at so-called magic numbers of constituent particles. Our results showcase the structural diversity and experimental utility of families of solutions to the packing in confinement problem.clusters | confinement | packing | colloids | nanoparticles P henomena as diverse as crowding in the cell (1, 2), DNA packaging in cell nuclei and virus capsids (3, 4), the growth of cellular aggregates (5), biological pattern formation (6), blood clotting (7), efficient manufacturing and transport, the planning and design of cellular networks (8), and efficient food and pharmaceutical packaging and transport (9) are related to the optimization problem of packing objects of a specified shape as densely as possible within a confining geometry, or packing in confinement. Packing in confinement is also a laboratory technique used to produce particle aggregates with consistent structure. These aggregates may serve as building blocks (or "colloidal molecules") in hierarchical structures (10, 11), information storage units (12), or drug delivery capsules (13). Experiments concerning cluster formation via spherical droplet confinement (13-20) are of special interest here. Droplets are typically either oil-in-water or water-inoil emulsions, and particle aggregation is induced via the evaporation of the droplet solvent. Clusters may be hollow [in which case they are termed "colloidosomes" (13)] or filled, depending on the formation protocol, and may contain a few (15) to a few billion (14) particles. Clusters of several metallic nanoparticles are especially intriguing given their ability to support surface plasmon modes over a range of frequencies (21). The subwavelength scale of these clusters means that their optical response is highly dependent on their specific geometry (22). Consequently, control over their structure enables control over their optical properties, with implications for cloaking (23), chemical sensing (24), imaging (25), nonlinear optics (26), and the creation of so-called metafluids (27)(28)(29), a...

show abstract

“…Similar phenomenon happens in the cylindrical pore, too, with a difference that no signs of the bulk first order transitions can be observed below a critical radius of the pore because the system becomes practically one-dimensional (1d) where the particles are not allowed to pass each other [21][22][23]. Moreover, new types of orientationally and positionally ordered structures emerge with the positional restriction such as the triatic, tetratic, hexatic and helical arrangements [24][25][26][27][28][29][30]. In confined liquid crystals the phase behaviour is even richer due to the additional orientational freedom.…”

Section: Introductionmentioning

confidence: 99%

Positional ordering of hard adsorbate particles in tubular nanopores

et al. 2018

View full text Add to dashboard Cite

The phase behavior and structural properties of a monolayer of hard particles is examined in such a confinement where the adsorbed particles are constrained to the surface of a narrow hard cylindrical pore. The diameter of the pore is chosen such that only first- and second-neighbor interactions occur between the hard particles. The transfer operator method of [Percus and Zhang, Mol. Phys. 69, 347 (1990)MOPHAM0026-897610.1080/00268979000100241] is reformulated to obtain information about the structure of the monolayer. We have found that a true phase transition is not possible in the examined range of pore diameters. The monolayer of hard spheres undergoes a structural change from fluidlike order to a zigzaglike solid one with increasing surface density. The case of hard cylinders is different in the sense that a layering takes place continuously between a low-density one-row and a high-density two-row monolayer. Our results reveal a clear discrepancy with classical density functional theories, which do not distinguish smecticlike ordering in bulk from that in narrow periodic pores.

show abstract

Helical Defect Packings in a Quasi-One-Dimensional System of Cylindrically Confined Hard Spheres

Abstract: We use a combination of analytical theory and molecular dynamics simulation to study the inherent structure landscape of a system of hard spheres confined to narrow cylindrical channels of diameter 1+√[3]/2 Show more

Cited by 18 publications

References 30 publications

Theory of rotational columnar structures of soft spheres

Theory of rotational columnar structures of soft spheres

Clusters of polyhedra in spherical confinement

Positional ordering of hard adsorbate particles in tubular nanopores

Contact Info

Product

Resources

About