Interstitial fractionalization and spherical crystallography.

  title={Interstitial fractionalization and spherical crystallography.},
  author={Mark J Bowick and David R. Nelson and Homin Shin},
  journal={Physical chemistry chemical physics : PCCP},
  volume={9 48},
Finding the ground states of identical particles packed on spheres has relevance for stabilizing emulsions and has a venerable history in the literature of theoretical physics and mathematics. Theory and experiment have confirmed that defects such as disclinations and dislocations are an intrinsic part of the ground state. Here we discuss the remarkable behavior of vacancies and interstitials in spherical crystals. The strain fields of isolated disclinations forced in by the spherical topology… Expand
Fractionalization of interstitials in curved colloidal crystals.
This work inserts interstitials in a lattice of similar colloidal particles sitting on flat or curved oil/glycerol interfaces, and imaged the ensuing dynamics to suggest the existence of particle fractionalization on curved surface crystals. Expand
Two-dimensional matter: order, curvature and defects
Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of the underlyingExpand
Relaxation of interstitials in spherical colloidal crystals
Abstract Spherical colloidal crystals (CCs) self-assemble on the interface between two liquids. These 2D structures unconventionally combine local hexagonal order and spherical geometry. Nowadays CCsExpand
Topological vacancies in spherical crystals.
This work shows the promising potential of exploiting richness in both physical interactions and substrate geometries to create new types of crystallographic defects, which have strong connections with the design of crystalline materials. Expand
Stress driven fractionalization of vacancies in regular packings of elastic particles.
The remarkable fractionalization of vacancies creates rich modes of interaction between vacancies and other topological defects, and provides a new dimension for mechanical engineering of defects in extensive crystalline structures. Expand
Intermittency of Deformation and the Elastic Limit of an Icosahedral Virus under Compression.
It is found that even at small stresses, well below the yielding point and generally thought to induce a Hookean response, strain continues to develop in time via sparse, randomly distributed, relatively rapid plastic events. Expand
Problems at the Nexus of Geometry and Soft Matter: Rings, Ribbons and Shells
iv problem of two concentric rings connected via springs. We show that when the two rings loses contact, rucks spontaneous formed leading to the complex folding patterns. We also develop a simpleExpand
Reconstruction of the 3D structure of colloidosomes from a single SEM image
In this paper we show how the 3-dimensional structural arrangement of particles in a colloidosome is derived from a single scanning electron microscopy (SEM) image. We exploit the fact that particlesExpand
Elastic platonic shells.
This work shows that by deflating a crystalline shell with defects, it is possible to create elastic shell analogs of the classical platonic solids and suggests methods to engineer shape into soft spherical shells using a frozen defect topology. Expand
Precise self-positioning of colloidal particles on liquid emulsion droplets.
Using ligand-decorated particles, and the precise temperature-tunable surface position control found here, may also allow using these droplets for directed supra-droplets self-assembly into larger structures, with a possible post-assembly structure-fixation by UV-polymerization of the droplet's liquid. Expand


Direct visualization of dislocation dynamics in grain-boundary scars
The structural features and the equilibrium dynamics of micrometre-scale spherical crystals formed by polystyrene particles adsorbed on the surface of a spherical water droplet are investigated and the parameters of the Peierls potential induced by the underlying crystalline lattice are determined. Expand
Crystalline Particle Packings on a Sphere with Long Range Power Law Potentials
The original Thomson problem of “spherical crystallography” seeks the ground state of electron shells interacting via the Coulomb potential; however one can also study crystalline ground states ofExpand
Statistical mechanics of vacancy and interstitial strings in hexagonal columnar crystals
  • Jain, Nelson
  • Physics, Medicine
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
It is found that the centered interstitial is the lowest-energy defect for a very wide range of interactions; the symmetric vacancy is preferred only for extremely short interaction ranges. Expand
Diffusion of point defects in two-dimensional colloidal crystals
Evidence that the excitation of point defects into dislocation pairs enhances the diffusion of di-vacancies in two-dimensional colloidal crystals is seen, and the hopping of the defects does not follow a pure random walk, but exhibits surprising memory effects. Expand
Interacting topological defects on frozen topographies
We propose and analyze an effective free energy describing the physics of disclination defects in particle arrays constrained to move on an arbitrary two-dimensional surface. At finite temperatureExpand
Dynamics and instabilities of defects in two-dimensional crystals on curved backgrounds.
It is shown that vacancies and interstitials, which are stable defects in flat crystals, are generally unstable in curved geometries, which explains why vacancies orInterstitials are never found in equilibrium spherical crystals. Expand
Defects and Geometry in Condensed Matter Physics
This book describes the key role played by thermally excited defects such as vortices, disclinations, dislocations, vacancies and interstitials in the physics of crystals, superfluids,Expand
Grain Boundary Scars and Spherical Crystallography
Experimental investigations of the structure of two-dimensional spherical crystals find that crystals develop distinctive high-angle grain boundaries, or scars, not found in planar crystals above a critical system size. Expand
Equilibrium configurations and energetics of point defects in two-dimensional colloidal crystals.
Surprisingly, point defects are thermally excited into separated dislocations, from which it is found that the dislocation pair potential is extracted. Expand
Crystalline order on a sphere and the generalized Thomson problem.
Predictions from the continuum theory for the ground state energy agree with numerical simulations of long range power law interactions of the form 1/r(gamma) (0<gamma<2) to four significant figures. Expand