Electrostatic Self‐Assembly of Polystyrene Microspheres by Using Chemically Directed Contact Electrification

McCarty, Logan S.; Winkleman, Adam; Whitesides, George M.

doi:10.1002/ange.200602914

Cited by 23 publications

(16 citation statements)

References 16 publications

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“…On the other hand, ethanol displaced DIPFO through the formation of hydrogen bonds with the pyridine nitrogens, allowing its complete removal as evident by the loss of its FTIR absorption bands (Figure 4). This suggests that there has to be phase continuity of the P4VP(DIPFO) domains throughout the film, given that ethanol does not swell PS, and DIPFO and PS are immiscible 30 . Furthermore, this confirms that the patterns in the films are upright cylinders.…”

Section: Resultsmentioning

confidence: 59%

Hierarchical Self-Assembly of Halogen-Bonded Block Copolymer Complexes into Upright Cylindrical Domains

Milani

Houbenov

Fernández-Palacio

et al. 2017

Chem

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SummarySelf-assembly of block copolymers into well-defined, ordered arrangements of chemically distinct domains is a reliable strategy for preparing tailored nanostructures. Microphase separation results from the system, minimizing repulsive interactions between dissimilar blocks and maximizing attractive interactions between similar blocks. Supramolecular methods have also achieved this separation by introducing small-molecule additives binding specifically to one block by noncovalent interactions. Here, we use halogen bonding as a supramolecular tool that directs the hierarchical self-assembly of low-molecular-weight perfluorinated molecules and diblock copolymers. Microphase separation results in a lamellar-within-cylindrical arrangement and promotes upright cylindrical alignment in films upon rapid casting and without further annealing. Such cylindrical domains with internal lamellar self-assemblies can be cleaved by solvent treatment of bulk films, resulting in separated and segmented cylindrical micelles stabilized by halogen-bond-based supramolecular crosslinks. These features, alongside the reversible nature of halogen bonding, provide a robust modular approach for nanofabrication.

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Section: Resultsmentioning

confidence: 59%

Hierarchical Self-Assembly of Halogen-Bonded Block Copolymer Complexes into Upright Cylindrical Domains

Milani

Houbenov

Fernández-Palacio

et al. 2017

Chem

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“…We remark that from a practical perspective, these assumptions do not greatly limit the scope of our results. Indeed, in many physical applications one typically considers non-metallic dielectric particles which neither have vanishing or exploding dielectric constants nor vanishing or exploding radii (see, e.g., [35,33,25,40,51]).…”

Section: Setting and Notationmentioning

confidence: 99%

An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis

Hassan

Stamm

2021

ESAIM: M2AN

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In this article, we analyse an integral equation of the second kind that represents the solution of N interacting dielectric spherical particles undergoing mutual polarisation. A traditional analysis can not quantify the scaling of the stability constants-and thus the approximation error-with respect to the number N of involved dielectric spheres. We develop a new a priori error analysis that demonstrates N -independent stability of the continuous and discrete formulations of the integral equation. Consequently, we obtain convergence rates that are independent of N .

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“…N -body problems are ubiquitous in a wide variety of physical fields including quantum mechanics, molecular dynamics, astrophysics, and electrostatics. In the field of chemical physics, N -body problems arise naturally when one considers the interaction of a large number of charged particles (see, e.g., [12,8,10,25,30,33,41,36,40,52,54,4]). If the particles are composed of a polarisable dielectric material, then a full description of the electrostatic interaction can typically not be obtained as simply the sum of pairwise Coulomb-type interactions.…”

Section: Introductionmentioning

confidence: 99%

An integral equation formulation of the N-body dielectric spheres problem. Part II: complexity analysis

2021

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This article is the second in a series of two papers concerning the mathematical study of a boundary integral equation of the second kind that describes the interaction of N dielectric spherical particles undergoing mutual polarisation. The first article presented the numerical analysis of the Galerkin method used to solve this boundary integral equation and derived N-independent convergence rates for the induced surface charges and total electrostatic energy. The current article will focus on computational aspects of the algorithm. We provide a convergence analysis of the iterative method used to solve the underlying linear system and show that the number of liner solver iterations required to obtain a solution is independent of N. Additionally, we present two linear scaling solution strategies for the computation of the approximate induced surface charges. Finally, we consider a series of numerical experiments designed to validate our theoretical results and explore the dependence of the numerical errors and computational cost of solving the underlying linear system on different system parameters.

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Electrostatic Self‐Assembly of Polystyrene Microspheres by Using Chemically Directed Contact Electrification

Cited by 23 publications

References 16 publications

Hierarchical Self-Assembly of Halogen-Bonded Block Copolymer Complexes into Upright Cylindrical Domains

Hierarchical Self-Assembly of Halogen-Bonded Block Copolymer Complexes into Upright Cylindrical Domains

An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis

An integral equation formulation of the N-body dielectric spheres problem. Part II: complexity analysis

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