Asymmetric Diblock Copolymers Research Articles

The Self-Assembly of Diblock Copolymers MePEG-b-PAAm into Micellar Structures and Their Interaction with Doxorubicin

The micellization of asymmetric diblock copolymers (DBC) MePEG-b-PAAm formed by monomethoxy-poly(ethylene)oxide (MePEG) and polyacrylamide (PAAm) has been studied in water, a water/alcohol mixture, and a NaCl solution. The effect of added NaCl on the critical micellization concentration of DBC water solutions was examined. The interaction between DBC and antitumor drug doxorubicin is discussed. The analysis of the UV spectrum of doxorubicin is performed.

Effect of added homopolymer on structures of thin films of PS- b-PDMS/PS mixture under solvent vapor annealing

Self assembly of poly(styrene- b-dimethylsiloxane) (PS- b-PDMS) followed by reactive ion etching technique is a promising method for fabricating periodical silica nanopatterns and can be applicable for device fabrication on nanoscale. We demonstrated a technologically useful way to control the inorganic silica nanostructures in thin films by directly mixing asymmetric (PS- b-PDMS) diblock copolymer with homopolymers of majority component, polystyrene (PS) under solvent vapor annealing followed by UV/O 3 treatment. The effects of molecular weight and volume fraction of added homopolymer (PS) on morphology and size of the nanostructure of blends have been carefully investigated by atomic force microscopy. Different morphology transitions observed on the ordering film surface by atomic force microscopy (AFM) are associated with kinetics of phase evolution with respect to homo-PS with different molecular weight. The periodic spacings and dimensions of the microdomains were readily tuned at the same time, just by adjusting the molecular weight and volume fraction of the blended homopolymer.

Confined self-assembly of cylinder-forming diblock copolymers: effects of confining geometries

The effects of confining geometries on the self-assembly of cylinder-forming asymmetric diblock copolymers are studied using a simulated annealing technique. Morphological transitions of block copolymers confined inside two parallel flat walls, cylindrical channels, as well as spherical and ellipsoidal cavities are systematically investigated. Depending on the copolymer composition, confining geometry and degree of structural frustration, a very rich array of confinement-induced morphologies is predicted by the simulations. The results reveal that the dimensionality of the confinement can affect the structure, symmetry and degeneracy of the self-assembled structures. In particular, the effect of spherical confinement is much stronger than that of thin film or cylindrical confinement.

Simulations of the gyroid phase in diblock copolymers with the Gaussian disphere model

Pure melts of asymmetric diblock copolymers are studied by means of the off-lattice Gaussian disphere model with Monte-Carlo kinetics. In this model, a diblock copolymer chain is mapped onto two soft repulsive spheres with fluctuating radii of gyration and distance between centers of mass of the spheres. Microscopic input quantities of the model such as the combined probability distribution for the radii of gyration and the distance between the spheres as well as conditional monomer number densities assigned to each block were derived in the previous work of F. Eurich and P. Maass [J. Chem. Phys. 114, 7655 (2001)] within an underlying Gaussian chain model. The polymerization degree of the whole chain as well as those of the individual blocks are freely tunable parameters thus enabling a precise determination of the regions of stability of various phases. The model neglects entanglement effects which are irrelevant for the formation of ordered structures in diblock copolymers and which would otherwise unnecessarily increase the equilibration time of the system. The gyroid phase was reproduced in between the cylindrical and lamellar phases in systems with box sizes being commensurate with the size of the unit cell of the gyroid morphology. The region of stability of the gyroid phase was studied in detail and found to be consistent with the prediction of the mean-field theory. Packing frustration was observed in the form of increased radii of gyration of both blocks of the chains located close to the gyroid nodes.

Poly[2,7‐(9,9‐dihexylfluorene)]‐block‐Poly(2‐vinylpyridine) Rod–Coil Star‐block Copolymers: Synthesis, Micellar Structures, and Photophysical Properties

AbstractThe first successful synthesis of conjugated rod–coil star block copolymer, (PF‐b‐P2VP)n, containing conjugated poly[2,7‐(9,9‐dihexylfluorene)] (PF), and coil‐like poly(2‐vinylpyridine) (P2VP) by combining a Suzuki coupling reaction and living anionic polymerization is reported. With increasing methanol content in THF/methanol mixtures (PF‐b‐P2VP)n symmetric star‐block copolymers maintain spherical micelles, but PF‐b‐P2VP asymmetric diblock copolymers vary from spherical micelles to vesicles. Both the absorption and emission spectra of PF‐b‐P2VP blue shift with increasing methanol content, suggesting an “H‐type” aggregation. However, (PF‐b‐P2VP)n star‐block exhibits no shift in absorption but a red shift in the emission spectra, indicating a different type of aggregation. These results suggest the significance of polymer architectures on microphase‐separated morphologies and photophysical properties. magnified image

Phase Behavior of Binary Blends of Diblock Copolymers

The phase behavior of binary blends of a long symmetric AB diblock copolymer and a short asymmetric AB diblock copolymer is studied using the self-consistent mean-field theory. The investigation focuses on blends with different short diblocks by constructing phase diagrams over the whole blending compositions and a large segregation regime. The influences of the chain length ratio (R) of the long and short diblock copolymers on their miscibility and on the stability of various ordered structures are explored. The theoretical results reveal that the blends have a much more complex phase behavior than each constituent copolymer. With the increase of the volume fraction of the short diblocks in the blends, multiple transitions from a long-period lamellar phase to phases with nonzero interfacial curvatures including cylindrical and spherical phases, and finally to a short-period lamellar phase or disordered phase, are predicted. In particular, consistent with experiments, the theory predicts that the cylindrical phase is stabilized over a wide blending compositions region in the strong segregation region, even though the two constituent diblock copolymers are both lamella-forming. When the ratio R is large enough, macrophase separation occurs over a wide range of blending compositions in a relatively strong segregation regime. Various coexisting phases, including those of lamellar and disorder, lamellar and cylindrical, cylindrical and cylindrical, cylindrical and disorder, spherical and disorder, and cylindrical and spherical, are predicted. In addition, the density profiles of the typical ordered structures are presented in order to understand the self-organization of the different copolymer chains.

Controlling the phase behavior of block copolymers via sequential block growth

Block copolymers remain one of the most extensively investigated classes of polymers due to their abilities to self-organize into various nanostructures and modify polymer/polymer interfaces. Despite fundamental and technological interest in these materials, only a handful of experimental phase diagrams exist due to the laborious task of preparing such diagrams. In this work, two copolymer series are each synthesized from a single macromolecule via sequential living anionic polymerization to yield molecularly asymmetric diblock and triblock copolymers systematically varying in composition. The phase behavior and morphology of these copolymers are experimentally interrogated and quantitatively compared with predictions from mean-field theories, which probe copolymer phase behavior beyond current experimental conditions.

Effect of a solvent on self-organization in nanofilms: Modeling by the dissipative particle dynamics method

Mesoscopic simulation of processes of drying and swelling of thin copolymer films on a solid substrate is performed. Structural rearrangements in films of symmetric and asymmetric diblock copolymers are studied by the dissipative particle dynamics method in the presence of both nonselective and selective solvents. The plasticizing effect of a solvent is favorable for formation of lamellar and hexagonal mesophases. Owing to evaporation of the solvent from a film or its absorption from the external volume, flows along the normal to the film surface arise. These flows exert an orienting effect on the microdomain structure.

Self-Assembly of Lamellar- and Cylinder-Forming Diblock Copolymers in Planar Slits: Insight from Dissipative Particle Dynamics Simulations

We present a dissipative particle dynamics simulation study on nanostructure formation of symmetric and asymmetric diblock copolymers confined between planar surfaces. We consider symmetric and slightly asymmetric diblock copolymers that form lamellar nanostructures in the bulk, and highly asymmetric diblock copolymers that form cylindrical nanostructures in the bulk. The formation of the diblock copolymer nanostructures confined between the planar surfaces is investigated and characterized by varying the separation width and the strength of the interaction between the surfaces and the diblock copolymers. Both the slit width and the surface interaction strongly influence the phase diagram, especially for the asymmetric systems. For the symmetric and slightly asymmetric diblock copolymer systems, the confinement primarily affects the orientation of the lamellar domains and only marginally influences the domain morphologies. These systems form parallel lamellar phases with different number of lamellae, and perpendicular and mixed lamellar phases. In a narrow portion of the phase diagram, these systems exhibit a parallel perforated lamellar phase, where further insight into the appearance of this phase is provided through free-energy calculations. The confined highly asymmetric diblock copolymer system shows, in addition to nanostructures with parallel and perpendicular cylinders, noncylindrical structures such as parallel lamellae and parallel perforated lamellae. The formation of the various confined nanostructures is further analyzed by calculating structural characteristics such as the mean square end-to-end distance of the diblock copolymers and the nematic order parameter.

Cyclic Switching of Water Storage in Thin Block Copolymer Films Containing Poly(N-isopropylacrylamide)

Thin films of an asymmetric diblock copolymer poly(styrene-block-N-isopropylacrylamide) (P(S-b-NIPAM)) with a long PS and a short PNIPAM block prepared out of a solvent which is more equal in interaction with both blocks than with water allow for water storage without significant swelling of the film. In subsequent storage and removal cycles, the aging of these P(S-b-NIPAM) films is investigated with atomic force microscopy, grazing incidence small-angle X-ray scattering, and in-situ neutron reflectivity. The P(S-b-NIPAM) films are exposed to an atmosphere of deuterated water vapor. Enrichment of the incorporated water in the film part close to the substrate interface is found. The storage capacity decreases by a factor of 2 after seven cycles, but the strongest decrease occurs in the first four cycles. This aging is discussed in the framework of an internal rearrangement of the film structure, H−D exchange, and a possible incorporation of bound water.

A Theoretical Study of Phase Behaviors for Diblock Copolymers in Selective Solvents

A self-consistent mean-field theory (SCMFT) study on the phase behaviors of AB-diblock copolymer solutions is presented. All of the possible thermodynamically stable ordered structures verified by experiments are considered and the phase diagrams are generated. This work mainly focuses on the cases of selective solvents. The results show that a series of phase transitions occurs upon dilution. In particular, large windows of lamellae + cylinder coexistence are located for the cases of highly asymmetric diblock copolymers in strongly selective solvents, which is in agreement with previous experimental observations. The transitions between the “inverted” fcc structure and the “inverted” bcc structure are also observed. The calculation indicates that the copolymer−solvent interaction plays important roles in these transitions.

Motion of Single Terrylene Molecules in Confined Channels of Poly(butadiene)−Poly(ethylene oxide) Diblock Copolymer

The motion of terrylene probe molecules in confined PB channels of an asymmetric PB-PEO diblock copolymer has been investigated by single molecule tracking. The one-dimensional diffusion coefficients were found to be significantly smaller and had a narrower distribution compared to two-dimensional diffusion coefficients in PB. The trajectories of some single molecules showed unusual behavior of directed motion where mean square displacement had a parabolic dependence on lag time. The likely origin of this behavior is discussed in terms of local variations in the PB channel width and the resulting change in the local density. The results show the effect of nonuniformities and heterogeneities in the channels on the motion of single molecules and demonstrate the sensitivity of single molecule tracking in characterizing self-assembled block copolymer morphologies.

Dynamical self-arrest in symmetric and asymmetric diblock copolymer melts using a replica approach within a local theory

We investigate dynamical self-arrest in a diblock copolymer melt using a replica approach within a self-consistent local method based on dynamical mean-field theory (DMFT). The local replica approach effectively predicts (chiN)_{A} for dynamical self-arrest in a block copolymer melt for symmetric and asymmetric cases. We discuss the competition of the cubic and quartic interactions in the Landau free energy for a block copolymer melt in stabilizing a glassy state depending on the chain length. Our local replica theory provides a universal value for the dynamical self-arrest in block copolymer melts with (chiN)_{A} approximately 10.5+64N;{-3/10} for the symmetric case.

Transient Gelation and Glass Formation of Reversibly Cross-linked Polymeric Micelles

Poly(ethylene oxide) (PEO) end-capped with a hexadecyl group at one (alpha-PEO) or both ends (alpha,omega-PEO) are highly asymmetric diblock or triblock copolymers that form spherical micelles in aqueous solution. alpha,omega-PEO can bridge between two micelles leading to reversible association of the micelles. At a first critical concentration (C(p)), the micelles percolate and a transient network is formed with an elastic modulus determined by the concentration of alpha,omega-PEO. C(p) increases with increasing fraction of alpha-PEO and is insensitive to the temperature. At a second critical concentration (C(c)), a liquid-solid transition occurs. C(c) is independent of the fraction of alpha-PEO and increases with increasing temperature. There are indications that the solid state is formed by nucleation and growth of domains of dynamically arrested micelles. The properties of the transient network are almost the same in the liquid and in the solid state.

Water Storage in Thin Films Maintaining the Total Film Thickness as Probed with in situ Neutron Reflectivity

We investigate a new type of thin film material which allows for water storage without an increase in film thickness, whereas typically water storage in polymers and polymer films is accompanied with a strong swelling of the film, i.e., a strong increase in the film thickness. So these films will avoid problems related to strains which are caused by swelling. The basic key for the preparation of such thin films is the installation of a glassy network by the use of an asymmetric diblock copolymer polystyrene-block-poly(N-isopropylacrylamide) [P(S-b-NIPAM)] with a long PS and short PNIPAM block in combination with a solvent which is more equal in interaction with both the blocks as compared to water. With in situ neutron reflectivity the water storage and removal are probed. The total film thickness increases only by 2.5% by allowing for a total water storage of 17.4%. Thus the material can be used for coatings to reduce humidity in nano-applications, which might suffer from changes in the water content of the surrounding environment.

Structure and Viscoelasticity of Mixed Micelles Formed by Poly(ethylene oxide) End Capped with Alkyl Groups of Different Length

Poly(ethylene oxide) (PEO) end capped with an alkyl group is a highly asymmetric diblock copolymer that forms spherical micelles in aqueous solution resembling multiarm star polymers. The effect of varying the length of the alkyl end group on the structure and viscoelasticity was investigated for pure and mixed micelle suspensions. The aggregation number (p) of the micelles increased and the critical association concentration (CAC) decreased with increasing the length of the end group. At high concentrations a discontinuous reversible liquid-solid transition was observed below a critical temperature (Tc) that increased with increasing length of the end group. Mixing end-capped PEO with different alkyl lengths led first to formation of the micelles by polymers with the lowest CAC into which the other polymers were incorporated when the concentration was increased. The viscoelastic properties at high concentrations are the same for pure systems and mixtures with the same average length of the alkyl end group.

Effect of Composition of Substrate-Modifying Random Copolymers on the Orientation of Symmetric and Asymmetric Diblock Copolymer Domains

The ability of random copolymer brushes and cross-linked mats to induce the vertical orientation of domains in overlying films of lamellae- and cylinder-forming block copolymers was investigated as a function of the composition. The substrate-modifying layers consisted of styrene and methyl methacrylate random copolymers and contained either a terminal hydroxyl group or a third polar comonomer of 2-hydroxyethyl methacrylate (HEMA) for grafting brushes to silicon oxide surfaces or glycidyl methacrylate (GMA) for cross-linking the random copolymer into a mat. Polystyrene-block-poly(methyl methacrylate) (PS-b-PMMA) lamellae- and cylinder-forming block copolymers (both PS and PMMA minority block copolymers) were deposited and annealed on the modified surfaces. In all cases the vertical orientation of domains was observed for a range of random copolymer composition, but the ranges of composition were different for each combination of surface layer and block copolymer. The cylindrical domains of PS exhibited vertical structures for a very narrow range of compositions compared to cylindrical domains of PMMA or lamellae. As expected, the incorporation of polar HEMA or GMA monomers in the surface layers shifted the composition range for the perpendicular orientation of domains to higher fractions of styrene. The results are discussed in terms of the equilibration of the films in the presence of the chemically modified surfaces.

Depletion-induced surface alignment of asymmetric diblock copolymer in selective solvents

Phase separation of asymmetric diblock copolymer near surfaces in selective solvents is theoretically investigated by using the real-space version of self-consistent field theory (SCFT). Several morphologies are predicted and the phase diagram is constructed by varying the distance between two parallel hard surfaces (or the film thickness) W and the block copolymer concentration f(P). Morphologies of the diblock copolymer in dilute solution are found to change significantly with different film thicknesses. In confined systems, stable morphologies found in the bulk solution become unstable due to the loss of polymer conformation entropy. The vesicle phase region contracts when the repulsive interaction between the blocks is strong (strong segregation regime). The mixture of vesicles, rodlike and spherelike micelles and the mixture of vesicles and sphere-like micelles disappear in contrast to the weakly segregating regime. The walls strongly affect the phase separation of block copolymer in selective solvent, and the depletion layer near the surface contributes much to the micelle formation of the block copolymer. Interestingly, the self-assembled morphologies stay near the walls with the distance on the order of the radius of gyration of the block copolymer. The oscillation of the polymer distribution near the walls allows the surface phase separation to be observed due to the strong repulsion between the blocks A and B.

Flow‐Induced Morphologies of Diblock Copolymers in a Nanotube Studied by Dissipative Particle Dynamics Simulation

AbstractMorphologies of diblock copolymers confined in a cylindrical nanotube under a Poiseuille flow were studied by dissipative particle dynamics simulation. Varying with flow intensity, a symmetric diblock copolymer in a neutral tube exhibits parallel lamellae or stacked disks, stacked bowls, or cylinders; the morphologies in a non‐neutral tube are relatively less influenced by flow. An asymmetric diblock copolymer is helical in a neutral tube, but becomes hexagonal under flow; the morphologies in a non‐neutral tube are parallel to the tube axis and vary in a less pronounced manner than in a neutral tube. The simulation results reveal that confinement and external flow significantly affect the phase transitions among a variety of morphologies, particularly for copolymers with domains not parallel to the tube axis.magnified image

The effects of the selectivity of the toluene/ethanol mixture on the micellar and the ordered structures of an asymmetric poly(styrene-b-4-vinylpyridine)

The effects of the solvent selectivity of toluene/ethanol mixtures on the micellar and ordered structures of an asymmetric diblock copolymer of PS(19.6K)-b-P4VP(5.1K) in the dilute (1wt%) and semi-dilute (8wt%) solutions, as well as in the gel and solid films, were studied using small angle X-ray scattering (SAXS), generalized indirect Fourier transform (GIFT), and transmission electron microscopy (TEM) methods. The solvent selectivity was controlled by ϕ (weight percentage of ethanol in toluene/ethanol mixture). Individual micelles, space-filled micellar structure (without three-dimensional order), and three-dimensionally ordered gel and solid structures were observed from the 1 and 8wt% solutions, the gel, and the solid film, respectively. In the 1wt% solution, the individual micellar structures were strongly dependent on ϕ; the spherical micelles with P4VP core at ϕ=0, the unimer state at 10≤ϕ≤50, the spherical micelles with PS core at ϕ=60, the cylindrical micelles with PS core at ϕ=70 and 80, and precipitation at ϕ=90 and 100 were observed. The 8wt% solution was close to overlap concentration with the unimer state in the regions of 20≤ϕ≤40. In the gel, the ordered structure was observed in the sequence of bcc, hexagonal, gyroid, lamellar, reverse hexagonal and random as ϕ increased, and could be explained by the change of the relative volume fraction of each block as ϕ changed, similar to the phase sequence in the phase diagram of the diblock copolymer. The solid films showed the various kinetically frozen ordered microstructures such as randomly packed sphere, hexagonal, gyroid, hexagonally perforated lamella, reversed hexagonal, and randomly packed cylinder, which were controlled by the solvent quality in the gel before solidification. We believe that these results can be applied to photonic crystals, self-assembled nano-patterning, and functional nanoparticles in which the structural control is most important.