Diffusion-induced growth of compositional heterogeneity in polymer blends containing random copolymers

The compositional relaxation in random copolymer systems on a macroscopic scale is considered in theory. A set of diffusion equations is derived that describes the motion of chains of different composition and then converted into coupled equations for statistical moments of the compositional distribution. Several ways to solve the closure problem for these equations are discussed. The simplest is the situation when the shape of the transient compositional distribution can be predicted a priori, for example, a bimodal distribution is kept during interdiffusion of two copolymers that are not very close in composition. For a general case, it is shown that the cumulant-neglect closure based on the truncation of high-order cumulants is an effective method to get an approximate solution in terms of the time-dependent local mean composition and its dispersion. This method is applied to non-homogeneous compatible polymer systems, such as a random copolymer AB of a composition varying in space, a bilayer of Bernoullian copolymers AB of different composition, and a bilayer of homopolymers A and B, in which an autocatalytic polymer-analogous reaction A → B takes place, with possibility of the neighbor group effect. It is found that the interdiffusion can lead to a substantial broadening of the local compositional distribution, which, in turn, accelerates the system dynamics and promotes chemical reactions.     

Stabilizing co-continuous polymer blend morphologies with ABC block copolymers

We suggest that ABC triblock copolymers provide a convenient and effective route to emulsifying blends of A and C homopolymers into co-continuous morphologies over a wide range of compositions. Direct transitions between disordered tricontinuous phases (“ABC microemulsions”) and spatially-periodic tricontinuous phases (e.g. gyroid or double-diamond cubic phases) should be possible in appropriately formulated alloys. We envision a broad range of potential applications to thermoplastic and thermoset polymeric materials. Received: 4 June 1997 / Revised: 17 September 1997 / Accepted: 13 October 1997     

Interfacial activity of styrene-butadiene block copolymers in low-density polyethylene/polystyrene blends

The effect of molecular structure of styrene-butadiene (SB) block copolymers on their interfacial activity in low-density polyethylene/polystyrene (LDPE/PS) (4/1) blends was studied. It was found that addition of some SB copolymers, which are localized in brittle PS particles, leads to a decrease in the blend impact strength in spite of the fact that these SB improve the toughness of both the blend components. Comparison with our previous results showed that the distribution of SB copolymers between the interface and bulk phases and their supermolecular structure in LDPE/PS (4/1) blends strongly differs from those in LDPE/PS (1/4) blends.     

Monte carlo studies of phase transitions in polymer blends and block copolymer melts

Summary The unmixing transition of both symmetrical polymer blends AB (i.e. chain lengthsN _A=N _B=N) and asymmetrical ones (N _B/N _A=2,3) is studied by large-scale Monte Carlo simulations of the bond fluctuation model. Combination of semi-grand-canonical simulation techniques, ?histogram reweighting? and finitesize scaling allows an accurate location of the coexistence curve in the critical region. The variation of the critical temperature with chain length (N) is studied and compared to theoretical predictions. For the symmetrical case, use of chain lengths up toN=512 allows a rough estimation of crossover scaling functions for the crossover from Ising to mean-field exponents. The order-disorder transitions in melts of both symmetric (compositionf=N _A/(N _A+N _B)=1/2) and asymmetric (f=3/4) block copolymers is studied for very short chains (16≤N≤60). The interplay between structure and chain configuration is emphasized. Qualitative evidence for ?dumbell formation? of chains and vacancy enrichment in A-B-interfaces and near hard walls is presented. Paper presented at the I International Conference on Scaling Concepts and Complex Fluids, Copanello, Italy, July 4–8, 1994.     

Aggregating block copolymers as model systems to study polymer brush dynamics

Summary A-B block copolymers in a selective solvent—good for the B-species and bad for the A-species—form micellar aggregates with a compact A-core with a corona (brush) of B ?hairs? reaching into the solvent. Whereas polystyrene(PS)-polyisoprene(PI) in decane forms spherical micelles with a PS core of about 10 nm radius, polyethylene(PE)-polyethylenepropylene(PEP) forms micellar platelets, the shape of which is goverend by the habitus of PE crystallites forming the core. These planar aggregates have large (several hundred nanometers) lateral extension and a core thickness in the range of 10 nm. Both systems are model systems for polymer brushes, either on a spherical surface or planar. Neutron spin-echo experiments allow for the investigation of the dynamics of the brushes which reflects their viscoelastic properties. Results of neutron small-angle and spin-echo investigations are reported. The brush dynamics is explained using a model based on an idea of de Gennes describing the brush properties in terms of scaling relations for osmotic pressure and viscosity of a semi-dilute solution with inhomogeneous density. Paper presented at the I International Conference on Scaling Concepts and Complex Fluids, Copanello, Italy, July 4–8, 1994.     

Thermodynamics of mixed polymer melts

The compatibility of polymer mixtures is discussed from a thermodynamic standpoint. Deviations from the simple lattice theory (Flory-Huggins) show up sensitively in phase diagrams. Possible molecular origins for such deviations are discussed. Experimental techniques that have recently been developed to deal with highly viscous mixtures are described.     

Monolayers of graft and block copolymers

Surface pressure-area isotherms for monolayers from graft copolymers with one branch (or four) and diblock copolymers were determined at air/aqueous medium interfaces. The dependence of surface pressure on area for poly(vinyl acetate) (PVAc)-polystyrene(PS) graft and block copolymers was identical to that of pure PVAc at the large areas, while a sharp increase in pressure appeared with further compression. The surface pressure of PVAc-PS graft copolymer at the air/0. 2 N NaOH interface decreased with time, but the critical area at which the surface pressure increased rapidly remained constant, regardless or hydrolysis time. When a poly(vinyl alcohol) (PVA)-PS graft or block copolymer was spread over water, the surface pressure originating from the PVA chain was too small to be observed, and merely that of the PS sequence appeared. It was concluded that the PS sequence was always present in the form of a tightly coiled sphere at the interfaces, whereas the PVAc sequence was spread as a monomolecular film on water but diffused into the alkaline substrate as a result of the hydrolysis to PVA. Thus the PVA-PS graft and block copolymers spread on water seem to be so oriented that the PVA chain “dissolved” in water is supported at the interface by the compact, monomolecular particle of PS on the surface.     

Raman study of ethylene-propylene copolymers and polyethylene-polypropylene reactor blends

The Raman spectra of the ethylene-propylene copolymers (EPC) synthesized using new metallocene catalytic systems and the polypropylene/polyethylene/diblockcopolymer of propylene and ethylene (PP/PE/DBC) blends obtained using the sequential polymerization are studied. The copolymer and reactor blend spectra are analyzed using the Raman spectra of a series of liquid n-alkanes. Significant monotonic changes are observed in the spectra of EPC and the PP/PE/DBC blends when the ethylene content increases. Substantial differences between the series of samples of blends and copolymers are revealed. In contrast to the EPC spectra, the spectra of the PP/PE/DBC reactor blends are represented as an exact superposition of the homopolymer spectra with the weight coefficients proportional to the contents of the blend components. A monotonic blue shift of the line that corresponds to the symmetric stretching mode of the CH₂ groups is observed in the EPC Raman spectra when the ethylene content increases. It is demonstrated that, for this line, the peak position only depends on the relative content of comonomers and does not depend on the contents of the PP and PE crystalline phases. The intensity ratio of two fundamental vibrations of PE and PP with frequencies of 1295 and 1330 cm^?1 can be used to determine the relative contents of the PE molecules in the trans-conformation and PP macromolecules in the helical conformation in the PP/PE blends. It is demonstrated that variations in the Raman spectra of n-alkanes, EPC, and PP/PE/DBC reactor blends related to variations in the relative contents of various chemical groups are reliably traced in the spectra of all of the materials under study.     

Scattering studies from polymer blends

An ultraquenching technique was used to prepare thin (ca. 1000 Å) amorphous films of polypivalolactone and poly(4-methyl-pentene-1). These films were characterized by electron microscopy, electron diffraction, and dynamic mechanical analysis. Other ultraquenched films of these polymers were crystallized by annealing for various times in the vicinity of their glass transition temperatures. Electron microscopy and electron diffraction were used to follow the reorganization of their structures.

Evidence for a double T_g in polypivalolactone (PPVL) was found, with crystallization of annealed, ultraquenched films occurring just above T_g (L) = 270°K. A T_g (U) = 340°K was noted. When the disordered glass was annealed above T_g (L), polypivalolactone crystallized into the a crystal form, which is composed of antiparallel chain segments, suggesting a chain-folded crystallization mechanism.

Poly(4-methyl-pentene-1) (P4MP1) gave evidence for T_g (L) = 220°K and T_g (U) = 325°K by dynamic mechanical analysis. However, morphology and electron diffraction showed that significant crystallization of ultraquenched polymer did not occur until T_g (U) was reached. X-ray data also supported this conclusion, which is explained by the lower density of the crystal phase of P4MP1 (compared to amorphous material) below 320°K. Long-term annealing of films at T_g (U) resulted in the formation of single-crystal structures, again indicative of a mechanism of chain-folded crystallization from the glass.     

Confinement-induced novel morphologies of block copolymers

Self-assembly of block copolymers confined in cylindrical nanopores is studied systematically using a simulated annealing technique. For diblock copolymers which form two-dimensional hexagonally packed cylinders with period L0 in the bulk, novel structures such as helices and stacked toroids spontaneously form inside the cylindrical pores. These confinement-induced morphologies have no counterpart in the bulk system and they depend on the pore diameter (D) and the surface-polymer interactions, reflecting the importance of structural frustration and interfacial interactions. On tightening the degree of confinement, transitions from helices to toroids to spheres are observed. Mechanisms of the morphological transitions can be understood based on the degree of structural frustration parametrized by the ratio D/L0.     

Morphology of ternary immiscible polymer blends

Ternary blends consisting of thermoplastic and thermotropic immiscible polymers were studied. Both thermodynamic and kinetic considerations were found to affect their multiphase structure. Thermodynamics is expressed by means of spreading coefficients, whereas the kinetic effect is driven by the dispersed phase viscosity ratio. Some morphologies could be predicted, when both effects acted cooperatively. However, in cases where the effects were opposing, kinetics hindered the development of the expected structure; interpenetration between the two minor phases, rather than engulfing or separately dispersed morphology, took place. In cases where two relatively polar phases were dispersed in a nonpolar matrix (e.g., nylon and polycarbonate in polypropylene), the interaction between the two dispersed minor phases always existed due to their low interfacial tension. Spreading of one minor phase over another, rather than penetration, is the dominating mechanism of encapsulation in polymer blends, contrary to low molecular weight liquids where both spreading and penetration play an important role in the structurization.     

Composition and molecular weight distribution of block copolymers

The composition distribution (CS) of diblock copolymers of styrene and methyl methacrylate, prepared anionically via a sequential addition procedure, has been investigated by two methods, one based on the theory of light scattering from copolymer solutions and the other on the principle of adsorption chromatography. Calculations were carried out to show that if the structure of the sample block copolymer is described by random coupling statistics, information of the molecular weight distribution (MWD) for either one of the block chains can be drawn from light scattering data obtained with one single solvent in which the solute is invisible. In practice, bromobenzene was used as a solvent appropriate for this purpose. Since the MWD for the precursor polystyrene is known, the MWD for the poly(methyl methacrylate) block was determined by this method. By using these data and assuming the Schulz distribution for MWD, the CD curve was calculated. Fractionation of the block copolymer sample by composition was made on a semipreparative scale (300 mg) by employing a glass cylinder packed with activated silica gel. The elution was carried out with a binary mixture of ethyl acetate and benzene. The fractionation was achieved without interference of molecular weight. Nine fractions having different styrene contents were recovered and analyzed to construct the CD curve. The CD curves obtained by the chromatographic method were in good agreement with those drawn from the light scattering data.     

Responsive solids from cross-linked block copolymers

Novel responsive solids were prepared by randomly cross-linking the polyisoprene chains of a disordered polystyrene-polyisoprene block copolymer. Our experiments show that block copolymer chains, composed of hundreds of repeat units, can undergo reversible order-disorder transitions despite the quenched randomness that arises due to the attachment of one of the blocks to a cross-linked network. The structure, properties, and phase behavior of these materials are determined by a delicate interplay between the density of cross-links and the nature of the ordered state.     

Gas transport in segmented block copolymers

The diffusive transport of several simple gases in four thermoplastic elastomers was measured. Certain anomalies were observed with the larger-sized penetrants, namely Ar and N2. It appears that these gaseous penetrants can distinguish between the rigid and flexible regions of certain block copolymers, the effect being more pronounced for the gas with the larger molecular diameter. A model is proposed and discussed which is qualitatively consistent with the observed behavior.     

Microphase separation in cross-linked polymer blends

We investigate the behaviour of randomly cross-linked (co)polymer blends using a combination of replica theory and large-scale molecular dynamics simulations. In particular, we derive the analogue of the random phase approximation for systems with quenched disorder and show how the required correlation functions can be calculated efficiently. By post-processing simulation data for homopolymer networks we are able to describe neutron scattering measurements in heterogeneous systems without resorting to microscopic detail and otherwise unphysical assumptions. We obtain structure function data which illustrate the expected microphase separation and contain system-specific information relating to the intrinsic length scales of our networks.     

Viscoelastic phase separation in polymer blends

In this paper, the dynamics and morphology of viscoelastic phase separation in polymer blends is investigated based on the two-fluid model in two dimensions. At critical composition, we have carefully checked the role of shear modulus, without taking account of bulk modulus. The results show that the higher shear modulus component tends to form a dispersed phase in the intermediate stage of phase separation, if the difference between the shear moduli of the components is large enough. This is opposite to the role of bulk modulus, that the higher bulk modulus component forms a networklike pattern without taking account of the shear modulus even if it is the minority phase. The morphological formation is determined by the competition of opposite effects of shear modulus and bulk modulus. For polymer blends at critical composition, the bulk modulus difference leads to a networklike pattern formed by the higher modulus component in the intermediate stage of phase separation. But if the difference between the shear moduli of the components is large enough, a co-continuous structure is observed, resulting from the competition between shear and bulk moduli. For off-critical composition, difference in bulk modulus also leads to a networklike pattern of the component with higher bulk modulus in the intermediate stage of phase separation, but phase inversion is observed rapidly. A small difference between the shear moduli of the components can support the networklike pattern to continue for longer time. But the networklike pattern does not occur for large difference between shear moduli.Received: 9 September 2004, Published online: 10 November 2004PACS: 64.75. + g Solubility, segregation, and mixing; phase separation - 83.80.Tc Polymer blends