Polystyrene-b-poly(methyl acrylate) (PS−PMA) copolymers were synthesized using activators regenerated by electron transfer (ARGET) for atom transfer radical polymerization (ATRP). Polydispersity of the PMA block was varied by adjusting the amount of copper catalyst in ARGET ATRP, and the resulting molecular weight distributions were found to be approximately symmetric. At a composition of 35 vol % of PMA, the formation of a hexagonally perforated lamellar (HPL) morphology was observed for a polydisperse PS−PMA copolymer for short- and long-term solvent-casting conditions. No order−order transitions were observed at elevated temperatures or after prolonged thermal annealing. The observed stabilization of the HPL morphologythat is considered to be metastable in narrow-disperse diblock copolymers as well as diblock copolymers with selective block polydispersity given by a Schulz−Zimm distributionsuggests that the skewness of the distribution of block molecular weights is an important parameter for the structure selection during the microphase separation process. In particular, the results indicate that near-symmetric block molecular weight distributions (as realized by the ARGET ATRP technique) facilitate the stabilization of microdomain morphologies with increased standard deviation of mean curvature. The results point to the relevance of controlling both the width and symmetry of molecular weight distribution as a potential route toward the tailored synthesis of nonregular microstructures with particular topological properties that might be of future technological interest.
Polymer-coated nanoparticle additives are shown to stabilize the formation of high-energy tilt and twist grain boundary structures in amorphous lamellar block copolymer/nanoparticle blends. The distribution of the particle additives within the grain boundary region depends on the level of perturbation of the equilibrium structure and presents analogies to previously described block copolymer/homopolymer blends. At small tilt angles (chevron grain boundary) the particle distribution is equal to the equilibrium distribution (here: center location of PS-coated gold particles within the PS domains of a PS−PEP block copolymer) whereas at larger tilt angles (omega or T-junction grain boundary structure) the particles are found to selectively swell the high elastic energy regions along the grain boundary, thereby stabilizing the formation of otherwise energetically unfavorable grain boundary structures presumably through the relaxation of chains in the grain boundary region. The direct visualization of the swelling process provides the first experimental evidence for the mechanism of stabilization of energetically unfavorable grain boundary structures by selective swelling and stress relief that was previously postulated for block copolymer/homopolymer blends and presents a model system for comparison with theoretical predictions.
The particular properties of nanometer-sized inorganic materials are of central importance to the design of modern composite materials such as polymer composites, coatings, or cosmetic products where particle additives are used to improve mechanical, thermal, transport, or optical properties. [1][2][3][4][5][6][7] However, in many instances the improvement of some performance characteristic is compromised by a loss in transparency that results from the scattering of visible light by the embedded particle inclusions -a consequence of the significantly different refractive index n of most inorganic materials and the organic embedding medium. For applications that capitalize on optical transparency, the scattering of particle inclusions presents severe limitations to the maximum concentration of filler particles as well as the design possibilities of the organic-matrix composites. For optically isotropic particles with linear dimensions significantly less than the wavelength of light, the particle scattering cross-section is given by C sca ∼ V p 2 (Da) 2 (with V p denoting the particle volume and Da the polarizability of the particle within the embedding medium). [8,9] Since Da ∼ (e p -e m )/(e p + 2e m ) >> 0 (with e i = n i 2 denoting the dielectric constant of medium 'i'; 'p', and 'm' represent the particle and embedding medium, respectively) for most inorganic/organic material combinations, significant scattering can arise even for small particle sizes.In this Communication we demonstrate that the scattering of inorganic particles can efficiently be suppressed by grafting of polymers of appropriate composition, molecular weight, and grafting density from the particles' surface such as to match the effective dielectric constant of the resulting coreshell particle to the dielectric constant of the embedding medium. Key to the presented approach is the observation that for core-shell particles with a size less than the wavelength of light the optical properties are approximately equal to those of a homogeneous particle with an effective dielectric constant that depends on the optical properties and volume fractions of the respective constituents.[10] In particular, for a core-shell particle at wavelengths larger than the particle dimension the particles' effective dielectric constant is given by Maxwell-Garnett theory as e eff e shell 1 3 fx 1 À fx 1Here, x = 1/3 (e core -e shell )/(e core -1/3 (e core -e shell )), e core and e shell represent the dielectric constant of the particle-core and shell, respectively, and f = V core /(V core + V shell ) is the relative particle-core volume. [11][12][13][14][15][16] Scattering will be suppressed if the effective dielectric constant of the core-shell particle equals the dielectric constant of the embedding medium. [10,17] Equation 1 thus provides a design criterion for the synthesis of quasi-transparent particle additives, i.e., by grafting a shell with a dielectric constant greater than (less than) the one of the embedding media to a particle core that has a dielectri...
A systematic evaluation of the effect of polymer matrix molecular weight on the coarsening kinetics of uniformly dispersed polystyrene-grafted gold nanoparticles is presented. Particle coarsening is found to proceed via three stages (i.e., atomic-diffusion-based Ostwald ripening (OR), particle-migration-based collision-coalescence, and the subsequent reshaping of particle assemblies). The relative significance of each stage and hence the evolution of particle size and shape have been found to depend sensitively upon time, temperature, and the molecular weight of the host polymer. At temperatures close to the matrix glass-transition temperature, Ostwald ripening has been observed to be dominant on all experimental timescales. With increasing annealing temperature, collision coalescence becomes the dominant mode of coarsening, leading to rapid particle growth. The onset of the latter process is found to be increasingly delayed with increasing molecular weight of the polymer host. Particle coalescence is observed to proceed via two fundamental modes (i.e., diffusion-limited aggregation and growth resulting in the formation of fractal particle clusters and the subsequent recrystallization into more spherical monolithic aggregate structures). Interestingly, particle coarsening in high-molecular-weight matrix polymers is found to proceed significantly faster than predicted on the basis of the bulk polymer viscosity; this acceleration is interpreted to be a consequence of the network characteristics of high-molecular-weight polymers by analogy to the phenomenon of nanoviscosity that has been reported in the context of nanoparticle diffusion within high-molecular-weight polymers.
The effect of block copolymer chain connectivity on the structure formation in binary blends comprising block copolymer hosts and enthalpically neutralized particle fillers is investigated for linear diblock (AB) and triblock (ABA and BAB) as well as four-arm star copolymer architectures (AB 3 and A 3 B). For particles with approximately constant effective size (defined here as the ratio of filler particle diameter to host polymer radius of gyration), miscibility was observed only within diblock copolymers and within the domains formed by the end blocks of triblock copolymers. The limitation of particle miscibility within the triblock mid-domain is interpreted as a consequence of the entropy loss associated with particle deposition due to the stretched configuration of bridged midblock chains. Particle aggregation was observed in both star copolymer samples irrespective of the architecture of the particle-loaded polymer domain. In the case of particle loading of the branched copolymer domain, this is rationalized as a consequence of the increased effective particle size, whereas the incompatibility of particle fillers in the linear block domain of miktoarm copolymer hosts is interpreted as a result of the coupling of dimensional changes within the microstructure along with the reduced axial compressibility of the particle-free branched domain. The sensitive dependence of the particle compatibility on the chain architecture of the polymer host illustrates a yet unexplored parameter space that will need to be taken into account if particle blends are to be designed with branched or multiblock host copolymer architectures.
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