Silver Nanocrystal Array with Precise Control via Star-like Copolymer Nanoreactors

Abstract

Silver nanocrystal arrays had attracted much attention due to the unique plasmonic effect of their ordered nanostructure and the synergy among adjacent nanocrystals. Conventional preparation methods had several limitations, such as high cost, harsh preparation conditions, and complicated influencing factors, which could not be employed to fabricate the nanocrystal arrays in highly controlled fashion. To solve these issues, we reported ordered arrays of different Ag nanocrystals with precise control prepared by utilizing amphiphilic star-like poly(4-vinylpyridine)-block-polystyrene diblock copolymers as nanoreactors synthesized by sequential atom transfer radical polymerization. Moreover, this unimolecular nanoreactor method based on star-like copolymers with stable and predesigned nanostructures was proved to be a universal approach to prepare other nanocrystal arrays. This strategy had low cost, simple process flow, wide applicability, and structural stability that could fabricate nanocrystal array with precise control and continuously prepare more complex nanostructure units in a large scale to meet different functions and applications.

Univalence and Starlikeness of Certain Classes of Analytic Functions

“…which is a contradiction to (1). From that |ω(ζ)| < 1, ζ ∈ O is obtained and (3) shows that the statement of the theorem is valid.…”

“…Both univalent functions and starlike functions are important subclasses of analytic functions in complex analysis, and they have many interesting properties and applications. For example, univalent functions are often used in geometric function theory to study conformal mappings and the Riemann mapping theorem, while starlike functions are used in geometric function theory and mathematical physics to model phenomena such as electrostatics [1,2] and fluid flow [3,4].…”

On Uniformly Starlike Functions with Respect to Symmetrical Points Involving the Mittag-Leffler Function and the Lambert Series

“…This domain is created by joining the fixed point to every other point in the domain using straight-line segments. While starlike functions are utilized in geometric function theory and mathematical physics to simulate phenomena like electrostatics [1,2] and fluid flow [3,4], univalent functions are frequently used in geometric function theory to explore conformal mappings and the Riemann mapping theorem.…”

Starlike Copolymer Nanoreactors for the Controlled Preparation of Highly Uniform Liquid Metal Nanoparticles

“…42 The polymerization kinetics of P4VP indicated that the molecular weight of P4VP had a linear relationship with the polymerization time, suggesting that the feature of polymerization was a well-controlled process (Figure S5 in the Supporting Information). 43 The detailed molecular information on a series of starlike block copolymers was summarized in Table S1 in the Supporting Information. The subscript of the P4VP-b-PS diblock copolymer in Table S1 was the repeating unit number of the P4VP arm calculated from 1 H NMR.…”

“…Subsequently, a starlike P4VP- b -PS diblock copolymer with well-defined molecular weight and low dispersity, was synthesized via the sequential ATRP of 4-vinylpyridine (4VP) and styrene (St) (Figures S3 and S4 in the Supporting Information) . The polymerization kinetics of P4VP indicated that the molecular weight of P4VP had a linear relationship with the polymerization time, suggesting that the feature of polymerization was a well-controlled process (Figure S5 in the Supporting Information) . The detailed molecular information on a series of starlike block copolymers was summarized in Table S1 in the Supporting Information.…”