Abstract

Densest possible packings of identical spheroids in cylindrical confinement have been obtained through MonteCarlo simulations. By varying the shape anisotropy of spheroids and also the cylinder-to-spheroid size ratio, a variety of densest possible crystalline structures have been discovered, including achiral structures with specific orientations of particles and chiral helical structures with rotating orientations of particles. Our findings reveal a transition between confinement-induced chiral ordering and shape-anisotropy-induced orientational ordering and would serve as a guide for the fabrication of crystalline wires using anisotropic particles.

Highlights

  • Densest possible packings of identical spheroids in cylindrical confinement have been obtained through Monte Carlo simulations

  • Physicists and mathematicians have long been fascinated by problems of particle packing

  • Packings in confinement have become a subject of immense interest, as they are relevant to many different entities and applications such as cell morphology within epithelial tissues [5], phyllotaxis in plants like sunflower seeds and pine cones [6], droplet-based fabrication of microparticles [7], and drug delivery [8], as well as a number of self-assembled systems in cylindrical confinement [9,10,11,12,13,14,15,16,17,18,19,20]

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Summary

Introduction

Densest possible packings of identical spheroids in cylindrical confinement have been obtained through Monte Carlo simulations. Densest possible packings in such quasi-1D confinement can generally be referred to as columnar crystals, as they are periodic along the axial direction of the cylinder with every unit cell being a rotation (of twist angle α) of the previous one.

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