Patterns in and kinetics of phase separation in binary mixtures

This work focused mainly on two aspects of kinetics of phase separation in binary mixtures. In the first part, we studied the interplay of hydrodynamics and the phase separation of binary mixtures. A considerably flat container (a laterally extended geometry), at an aspect ratio of 14:1 (diameter: height) was chosen, so that any hydrodynamic instabilities, if they arise, could be tracked. Two binary mixtures were studied. One was a mixture of methanol and hexane, doped with 5% ethanol, which phase separated under cooling. The second was a mixture of butoxyethanol and water, doped with 2% decane, which phase separated under heating. The dopants were added to bring down the phase transition temperature around room temperature.rnrnAlthough much work has been done already on classical hydrodynamic instabilities, not much has been done in the understanding of the coupling between phase separation and hydrodynamic instabilities. This work aimed at understanding the influence of phase separation in initiating any hydrodynamic instability, and also vice versa. Another aim was to understand the influence of the applied temperature protocol on the emergence of patterns characteristic to hydrodynamic instabilities. rnrnOn slowly cooling the system continuously, at specific cooling rates, patterns were observed in the first mixture, at the start of phase separation. They resembled the patterns observed in classical Rayleigh-Bénard instability, which arises when a liquid continuously is heated from below. To suppress this classical convection, the cooling setup was tuned such that the lower side of the sample always remained cooler by a few millikelvins, relative to the top. We found that the nature of patterns changed with different cooling rates, with stable patterns appearing for a specific cooling rate (1K/h). On the basis of the cooling protocol, we estimated a modified Rayleigh number for our system. We found that the estimated modified Rayleigh number is near the critical value for instability, for cooling rates between 0.5K/h and 1K/h. This is consistent with our experimental findings. rnrnThe origin of the patterns, in spite of the lower side being relatively colder with respect to the top, points to two possible reasons. 1) During phase separation droplets of either phases are formed, which releases a latent heat. Our microcalorimetry measurements show that the rise in temperature during the first phase separation is in the order of 10-20millikelvins, which in some cases is enough to reverse the applied temperature bias. Thus phase separation in itself initiates a hydrodynamic instability. 2) The second reason comes from the cooling protocol itself. The sample was cooled from above and below. At sufficiently high cooling rates, there are situations where the interior of the sample is relatively hotter than both top and bottom of the sample. This is sufficient to create an instability within the cell. Our experiments at higher cooling rates (5K/h and above) show complex patterns, which hints that there is enough convection even before phase separation occurs. Infact, theoretical work done by Dr.Hayase show that patterns could arise in a system without latent heat, with symmetrical cooling from top and bottom. The simulations also show that the patterns do not span the entire height of the sample cell. This is again consistent with the cell sizes measured in our experiment.rnrnThe second mixture also showed patterns at specific heating rates, when it was continuously heated inducing phase separation. In this case though, the sample was turbid for a long time until patterns appeared. A meniscus was most probably formed before the patterns emerged. We attribute the reason of patterns in this case to Marangoni convection, which is present in systems with an interface, where local differences in surface tension give rise to an instability. Our estimates for the Rayleigh number also show a significantly lower number than that's required for RB-type instability.rnrnIn the first part of the work, therefore, we identify two different kinds of hydrodynamic instabilities in two different mixtures. Both are observed during, or after the first phase separation. Our patterns compare with the classical convection patterns, but here the origins are from phase separation and the cooling protocol.rnrnIn the second part of the work, we focused on the kinetics of phase separation in a polymer solution (polystyrene and methylcyclohexane), which is cooled continuously far down into the two phase region. Oscillations in turbidity, denoting material exchange between the phases are seen. Three processes contribute to the phase separation: Nucleation of droplets, their growth and coalescence, and their subsequent sedimentation. Experiments in low molecular binary mixtures had led to models of oscillation [43] which considered sedimentation time scales much faster than the time scales of nucleation and growth. The size and shape of the sample therefore did not matter in such situations. The oscillations in turbidity were volume-dominated. The present work aimed at understanding the influence of sedimentation time scales for polymer mixtures. Three heights of the sample with same composition were studied side by side. We found that periods increased with the sample height, thus showing that sedimentation time determines the period of oscillations in the polymer solutions. We experimented with different cooling rates and different compositions of the mixture, and we found that periods are still determined by the sample height, and therefore by sedimentation time. rnrnWe also see that turbidity emerges in two ways; either from the interface, or throughout the sample. We suggest that oscillations starting from the interface are due to satellite droplets that are formed on droplet coalescence at the interface. These satellite droplets are then advected to the top of the sample, and they grow, coalesce and sediment. This type of an oscillation wouldn't require the system to pass the energy barrier required for homogenous nucleation throughout the sample. This mechanism would work best in sample where the droplets could be effectively advected throughout the sample. In our experiments, we see more interface dominated oscillations in the smaller cells and lower cooling rates, where droplet advection is favourable. In larger samples and higher cooling rates, we mostly see that the whole sample becomes turbid homogenously, which requires the system to pass the energy barrier for homogenous nucleation.rnrnOscillations, in principle, occur since the system needs to pass an energy barrier for nucleation. The height of the barrier decreases with increasing supersaturation, which in turn is from the temperature ramp applied. This gives rise to a period where the system is clear, in between the turbid periods. At certain specific cooling rates, the system can follow a path such that the start of a turbid period coincides with the vanishing of the last turbid period, thus eliminating the clear periods. This means suppressions of oscillations altogether. In fact we experimentally present a case where, at a certain cooling rate, oscillations indeed vanish. rnrnThus we find through this work that the kinetics of phase separation in polymer solution is different from that of a low molecular system; sedimentation time scales become relevant, and therefore so does the shape and size of the sample. The role of interface in initiating turbid periods also become much more prominent in this system compared to that in low molecular mixtures.rnrnIn summary, some fundamental properties in the kinetics of phase separation in binary mixtures were studied. While the first part of the work described the close interplay of the first phase separation with hydrodynamic instabilities, the second part investigated the nature and determining factors of oscillations, when the system was cooled deep into the two phase region. Both cases show how the geometry of the cell can affect the kinetics of phase separation. This study leads to further fundamental understandings of the factors contributing to the kinetics of phase separation, and to the understandings of what can be controlled and tuned in practical cases. rn

Avaliação da biodegradabilidade de filmes de polihidroxibutirato com borracha natural

A modernidade exige materiais versáteis, resistentes e, durante um longo tempo os plásticos serviram a esse propósito. Entretanto, o acúmulo desses materiais ao serem descartados no meio ambiente tornou-se um problema Os polímeros biodegradáveis surgiram neste cenário como alternativa para evitar o acúmulo de resíduos plásticos no meio ambiente. O polihidroxibutirato (PHB) representa uma classe de polímeros biodegradáveis, mas que apresenta um alto custo e possui ainda propriedades térmicas limitadas. A borracha natural possui excelentes propriedades mecânicas, resistência ao envelhecimento, flexibilidade e apresenta melhor custo benefício se comparada com as borrachas sintéticas. Neste estudo, foram elaboradas misturas poliméricas de polihidroxibutirato (PHB) e látex de borracha natural em diferentes concentrações, por prensagem à quente. Os ensaios de calorimetria diferencial de varredura (DSC), análise termogravimétrica (TGA), espectrometria na região do infravermelho (FTIR), microscopia ótica (MO) e microscopia eletrônica de varredura (MEV) foram utilizados para caracterizar e avaliar as propriedades das misturas poliméricas. O PHB e as misturas com borracha natural foram submetidos ao ensaio de biodegradabilidade através do enterro em solo simulado, conforme a norma ASTM G 160-03, variando por um período de 2 a 17 semanas. Ao final de cada período foram determinadas a perda de massa, a morfologia dos corpos de prova e foram realizadas as análises de DSC, TGA e FTIR. As misturas poliméricas apresentaram menor resistência térmica do que o PHB. No ensaio de biodegradabilidade, as misturas foram consideradas biodegradáveis, segundo a norma ASTM G 160-03 e tiveram a porcentagem de cristalinidade reduzida, tendo o teor de borracha natural contribuído para aumentar a taxa de biodegradação. As análises por MEV comprovaram a existência de consórcios de microrganismos, responsáveis pela biodegradação do PHB e das misturas poliméricas

Effect of polydispersity on the self-assembly structure of diblock copolymers under various confined states: A Monte Carlo study

We studied the self-assembly of polydisperse diblock copolymers under various confined states by Monte Carlo simulation. When the copolymers were confined within two parallel walls, it was found that the ordered strip structures appeared alternately with the increase in wall width. Moreover, the wall width at which the ordered structure appeared tended to increase with an increase in the polydispersity index (PDI). On the other hand, the simulation results showed that the copolymers were likely to form ordered concentric strip structures when they were confined within a circle wall.

Monte Carlo simulation of the compatibility of graft copolymer compatibilized two incompatible homopolymer blends: Effect of graft structure

Compatibility of graft copolymer compatibilized two incompatible homopolymer A and B blends was simulated by using Monte Carlo method in a two-dimensional lattice model. The copolymers with various graft structures were introduced in order to study the effect of graft structure on the compatibility. Simulation results showed that incorporation of both A-g-B (A was backbone) and B-g-A (B was backbone) copolymers could much improve the compatibility of the blends. However, A-g-B copolymer was more effective to compatibilize the blend if homopolymer A formed dispersed phase. Furthermore, simulation results indicated that A-g-B copolymers tended to locate at the interface and anchor two immiscible components when the side chain is relatively long. However, most of A-g-B copolymers were likely to be dispersed into the dispersed homopolymer A phase domains if the side chains were relatively short. On the other hand, B-g-A copolymers tended to be dispersed into the matrix formed by homopolymer B. Moreover, it was found that more and more B-g-A copolymers were likely to form thin layers at the phase interface with decreasing the length of side chain.

Phase separation of PS/PVME blend films induced by capillary force

The phase behavior of a miscible PS/PVME (80/20, w/w) blend film in a confined geometry has been investigated at the annealing temperature much lower than the low critical solution temperature (LCST) of the blend. When the annealing temperature (52degreesC) is near the glass transition temperature of the blend (51.2degreesC), PVME-rich phase at the air-film surface under a microchannel forms smaller protrusion. When the annealing temperature is increased to 70degreesC, the protruding stripes, which are almost developed, are mainly composed of the mobile PVME-rich phase. These results reveal that the capillary force lead to the enrichment of PVME-rich phase at the air-polymer interface of a PDMS microchannel, that is, the capillary force lithography (CFL) can induce the phase separation of PS/PVME blend films.

Crystallization and phase behavior of crystalline syndiotactic 1,2-polybutadiene/isotactic polypropylene blends in solution-cast thin films

Crystallization and phase behavior in solution-cast thin films of crystalline syndiotactic 1,2-polybutadiene (s-1,2-PB) and isotactic polypropylene (i-PP) blends have been investigated by transmission electron microscopy (TEM), atomic force microscopy (AFM) and field-emission scanning electron microscopy (FESEM) techniques. Thin films of pure s-1,2-PB consist of parallel lamellae with the c-axis perpendicular to the film plane and the lateral scale in micrometer size, while those of i-PP are composed of cross-hatched and single-crystal-like lamellae. For the blends, TEM and AFM observations show that with addition of i-PP, the s-1,2-PB long lamellae become bended and i-PP itself tends to form dispersed convex regions oil a continuous s-1,2-PB phase even when i-PP is the predominant component, which indicates a strong phase separation between the two polymers during film formation. FESEM micrographs of both lower and upper surfaces of the films reveal that the s-1,2-PB lamellae pass through i-PPconvex regions from the bottom, i.e. the dispersed i-PP regions lie on the continuous s-1,2-PB phase. The structural development is attributed to an interplay of crystallization and phase separation of the blends in the film forming process.

Surface morphology evolution of thin triblock copolymer films during spin coating

The surface morphology evolution of thin poly(styrene-block-ethylene/butylenes-block-styrene) (SEBS) triblock copolymer films as a function of the copolymer concentration was investigated by means of dynamic mode atomic force microscopy. At a relatively low copolymer concentration (0.025% w/v), the periodically orientated stripes were observed. This kind of surface patterning produced in the spin-coating process has not been reported in the literature before. It has been shown by our experiment that a shearing and stretching field can cause flexible polymer coils or aggregates to orientate during the spin coatings At a copolymer concentration of 0.05% w/v, SEBS molecule aggregates form network structures in the whole film. With further increase of the copolymer concentration, a continuous film with a microphase-separated structure was visualized.

MISCIBILITY STUDIES OF POLY(ETHYLENE OXIDE)-POLY(VINYL ACETATE) BLENDS BY VISCOMETRY METHODS

The intrinsic viscosities of poly(ethylene oxide)-poly(vinyl acetate) blends (PEO-PVA) have been measured in chloroform as a function of molecular weights of blend components and compositions. The interaction parameters Delta b obtained from the modified Krigbaum and Wall theory and the differences between the intrinsic viscosities of polymer mixtures and the weight-average intrinsic viscosities of the two blend components were both used to characterize the extent of miscibility of the blend mixtures. (C) 1995 John Wiley and Sons, Inc.

STATISTICAL THERMODYNAMICS IN THE FRAMEWORK OF THE LATTICE FLUID MODEL .2. BINARY MIXTURE OF POLYDISPERSE POLYMERS OF SPECIAL DISTRIBUTION

In this paper, the Gibbs free energy, the equation of state and the chemical potentials of polydisperse multicomponent polymer mixtures are derived. For general binary mixtures of polydisperse polymers, we also give the Gibbs free energy, the equation of

CRYSTALLIZATION OF POLY(ARYL-ETHER-ETHER-KETONE)S BLENDS

The crystallization and melting behaviour of poly(aryl-ether-ether-ketone) (PEEK) in blends with another polymer of the same family containing a bulky pendant phenolphthalein group (PEK-C) have been investigated by thermal methods. The small interaction energy density of the polymer pair (B = -8.99 J/cm3), evaluated from equilibrium melting point depression, is consistent with the T(g) data that indicate partial miscibility in the melt. Two conjugated phases are in equilibrium at 430-degrees-C: one is crystallizable and contains about 35 wt% of PEK-C; the other, containing only 15 wt% of PEEK, does not form crystals upon cooling and it interferes with the development of spherulites in the sample. The analysis of kinetic data according to nucleation theories shows that crystallization of PEEK in the explored temperature range takes place in Regime III and that a transition to Regime II might be a consequence of an increase in the amount of non-crystallizable molecules in the PEEK-rich phase. A composition independent value of the end surface free energy of PEEK lamellae has been derived from kinetic data (sigma-e = 40 +/- 4 erg/cm2) in excellent agreement with previous thermodynamic estimates. A new value for the equilibrium melting temperature of PEEK (T(m)-degrees = 639 K) has been obtained; it is about 30-degrees-C lower than the commonly accepted value and it explains better the "memory effect" in the crystallization from the melt of this high performance polymer.

Uma abordagem à incorporação de lenhinosulfonatos e materiais reciclados em misturas de SBR para produção sustentável de solas

Mestrado em Engenharia Química - Ramo Otimização Energética na Indústria Química

Design of mucoadhesive polymeric films based on blends of poly(acrylic acid) and (hydroxypropyl)cellulose

Mixing of aqueous solutions of poly(acrylic acid) and (hydroxypropyl) cellulose results in formation of hydrogen-bonded interpolymer complexes, which precipitate and do not allow preparation of homogeneous polymeric films by casting. In the present work the effect of pH on the complexation between poly(acrylic acid) and (hydroxypropyl)cellulose in solutions and miscibility of these polymers in solid state has been studied. The pH-induced complexation-miscibility-immiscibility transitions in the polymer mixtures have been observed. The optimal conditions for preparation of homogeneous polymeric films based on blends of these polymers have been found, and the possibility of radiation cross-linking of these materials has been demonstrated. Although the gamma-radiation treatment of solid polymeric blends was found to be inefficient, successful cross-linking was achieved by addition of N, N'- methylenebis(acrylamide). The mucoadhesive potential of both soluble and cross-linked films toward porcine buccal mucosa is evaluated. Soluble films adhered to mucosal tissues undergo dissolution within 30-110 min depending on the polymer ratio in the blend. Cross-linked films are retained on the mucosal surface for 10-40 min and then detach.

Interaction between Pluronic F127 and Dioctadecyldimethylammonium Bromide (DODAB) Vesicles Studied by Differential Scanning Calorimetry

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Sphärische Bürsten in polymeren Schmelzen

Colloidal nanoparticles are additives to improve or modify several properties of thermoplastic or elastic polymers. Usually colloid-polymer mixtures show phase separation due to the depletion effect. The strategy to overcome this depletion demixing was to prepare surface-modified colloidal particles, which can be blended with linear polymer chains homogeneous. A successful synthesis strategy for the preparation of hairy nanospheres was developed by grafting polystyrene macromonomer chains onto polyorganosiloxane microgels. The number of hairs per particle with a core radius of approximately 10nm exceeded 150 hairs in all cases. The molecular weight of the hairs variied between 4000-18000g/mol.The compatibility of these hairy spheres mixed with linear polymer chains was investigated by AFM, TEM and SAXS. Homogeneous mixtures were found if the molecular weight of the polymer hairs on the particle surface is at least as large as the molecular weight of the matrix chains. If the chains are much shorter than the hairs, the colloidal hair corona is strongly swollen by the matrix polymer, leading to a long-range soft interparticle repulsion ('wet brush'). If hairs and chains are comparable in length, the corona shows much less volume swelling, leading to a short-range repulsive potential similar to hard sphere systems ('dry brush'). Polymerketten und Kolloidpartikel entmischen aufgrund von Depletion-Wechselwirkungen. Diese entropisch bedingte Entmischung konnte durch das Ankoppeln von Polymerhaaren verschiedenen Molekulargewichts auf die Kugeloberflächen der Kolloide bis zu hohen Konzentrationen vermieden werden. Zur Darstellung sphärischer Bürsten und haariger Tracerpartikel wurde eine neue Synthesestrategie ausgearbeitet und erfolgreich umgesetzt.Das Kompatibilitätsverhalten dieser sphärischen Bürsten in der Schmelze von Polymerketten als Matrix wurde mittels Elektronenmikroskopie und Kleinwinkelröntgenstreuung untersucht. Die Mischungen setzten sich aus sphärischen Bürsten und Matrixketten mit unterschiedlichen Molekulargewichten zusammen.Es zeigte sich, daß die Mischbarkeit entschieden durch das Verhältnis von Haarlänge zu Länge der Matrixketten beeinflußt wird.Aus den Untersuchungen des Relaxationsverhaltens mittels Rheologie und SAXS ergibt sich, daß das Konzept der 'dry brush'- und 'wet brush'-Systeme auf diese Mischungen übertragbar ist. Die Volumenquellung der Haarcorona durch die Matrixketten ist, wie die Experimente gezeigt haben, bereits im Fall von Polymeren mit relativ niedrigen Molekulargewichten zu beobachten. Sie ist umso stärker ausgeprägt, je größer das Längenverhältnis zwischen Polymerhaaren und Matrixketten ist. Die Quellung bedeutet eine Vergrößerung des effektiven Radius der Partikel und entspricht somit einer Erhöhung des effektiven Volumenbruchs. Dies führt zur Ausbildung einer höheren Ordnung und zu einem Einfrieren der Relaxation dieser strukturellen Ordnung führt.

Zusammenhang zwischen der Einzelkettendynamik und der Dynamik von Konzentrationsfluktuationen in mehrkomponentigen Polymersystemen

Zusammmenfassung:Um Phasenseparation in binären Polymermischungen zuuntersuchen, werden zwei dynamische Erweiterungen der selbstkonsistenten Feldtheorie (SCFT)entwickelt. Die erste Methode benutzt eine zeitliche Entwicklung der Dichten und wird dynamische selbstkonsistente Feldtheorie (DSCFT) genannt, während die zweite Methode die zeitliche Propagation der effektiven äußeren Felder der SCFT ausnutzt. Diese Methode wird mit External Potential Dynamics (EPD) bezeichnet. Für DSCFT werden kinetische Koeffizienten verwendet, die entweder die lokale Dynamik von Punktteilchen oder die nichtlokale Dynamik von Rouse'schen Polymeren nachbilden. Die EPD-Methode erzeugt mit einem konstanten kinetischen Koeffizienten die Dynamik von Rouse'schen Ketten und benötigt weniger Rechenzeit als DSCFT. Diese Methoden werden für verschiedene Systeme angewendet.Zuerst wird spinodale Entmischung im Volumen untersucht,wobei der Unterschied zwischen lokaler und nichtlokalerDynamik im Mittelpunkt steht. Um die Gültigkeit derErgebnisse zu überprüfen, werden Monte-Carlo-Simulationen durchgeführt. In Polymermischungen, die von zwei Wänden, die beide die gleiche Sorte Polymere bevorzugen, eingeschränkt werden, wird die Bildung von Anreicherungsschichten an den Wänden untersucht. Für dünne Polymerfilme zwischen antisymmetrischen Wänden, d.h. jede Wand bevorzugt eine andere Polymerspezies, wird die Spannung einer parallel zu den Wänden gebildeten Grenzfläche analysiert und der Phasenübergang von einer anfänglich homogenen Mischung zur lokalisierten Phase betrachtet. Des Weiteren wird die Dynamik von Kapillarwellenmoden untersucht.