Kinetics of phase separation in polymer mixtures: A molecular dynamics study

We present detailed results from a molecular dynamics (MD) simulation of phase-separation kinetics in polymer mixtures. Our MD simulations naturally incorporate hydrodynamic effects. We find that polymeric phase separation (with dynamically symmetric components) is in the same universality class as segregation of simple fluids: the degree of polymerization only slows down the segregation kinetics. For d = 2 polymeric fluids, the domain growth law is L(t) similar to t(phi) with phi showing a crossover from 1/3 -> 1/2 -> 2/3. For d = 3 polymeric fluids, we see the crossover phi = 1/3 -> 1. Our MD simulations do not yet access the inertial hydrodynamic regime (with L similar to t(2/3)) of phase separation in 3-d fluids. (C) 2014 AIP Publishing LLC.

Suppression of phase separation in PC/PMMA blend film by thermoset oligomer

Phase separation of bisphenol A polycarbonate (PC) and poly(methyl methacrylate) (PMMA) thin blend film is suppressed by addition of solid epoxy oligomer. Epoxy has strong intermolecular interactions with both PC and PMMA, while PC and PMMA are quite incompatible with each other. Consequently, phase separation in the PC/PMMA blend film pushes epoxy to the interface; at the same time, PC and epoxy react readily at the interface to form a cross-linking structure, binding PMMA chains together. Therefore, the interface between PC and PMMA is effectively reinforced, and the PC/PMMA thin blend film is stabilized against phase separation. On the other hand, only an optimal content of epoxy (i.e., 10 wt %) can serve as an efficient interfacial agent. In contrast to the traditional reactive compatibilization, here we observed that the cross-linking structure along the interface is much more stable than block or graft copolymers. Atomic force microscopy (AFM) is used to characterize the morphological changes of the blend films as a function of annealing time. Two-dimensional fast Fourier transform (2D-FFT) of AFM data allows quantitative investigation of the scaling behavior of phase separation kinetics.

Kinetics of Y(III) stripping for the system Y/HCl/Cyanex 272-P507/heptane with constant interfacial area cell with laminar flow

Kinetics and mechanism of stripping of yttrium(III) previously extracted by mixtures of bis(2,4,4-trimethylpentyl)phosphinic acid (Cyanex 272, HA), and 2-ethylhexyl phosphonic acid mono-2-ethylhexl ester (P507, HB) dissolved in heptane have been investigated by constant interfacial-area cell by laminar flow. The corresponding equilibrium stripping equation and equilibrium constant were obtained. The studies of effects of the stirring rate and temperature on the stripping rate show that the stripping regime is dependent on the stripping conditions. The plot of interfacial area on the rate has shown a linear relationship. This fact together with the strong surface activity of mixtures of Cyanex 272 and P507 at heptane-water interfaces makes the interface the most probable locale for the chemical reactions. The stripping rate constant is obtained, and the value is compared with that of the system with Cyanex 272 and P507 alone. It is concluded that the stripping ability with the mixtures is easier than that of P507 due to lower the activation energy of the mixtures. The stripping rate equation has also been obtained, and the rate-determining steps are the two-step interfacial chemical reactions as predicted from interfacial reaction models.

多相聚合物体系相分离动力学的理论和模拟

本文提出了将自洽场理论与多相流格子Boltzmann方法相结合的模型，并从该模型出发推导出了描述动量守恒的Navier-Stokes方程和扩散方程，验证了模型理论上的正确性。应用此模型，对聚合物的相分离过程进行了模拟。 首先证实了本模型最终能够得到正确的热力学平衡结果。对于高分子共混物和嵌段共聚物相分离的动力学过程。在分相各个阶段，对高分子共混物和嵌段共聚物都进行了验证。 其次，应用所提出的格子Boltzmann模型，分别对二元聚合物共混物和二嵌段共聚物的相分离后期相区增长过程进行了研究。 最后，通过模型的进一步扩展，实现了对具有复杂结构的嵌段共聚物和复杂共混物的模拟。

PMMA/SAN共混物薄膜表面相分离动力学的原位AFM研究

本论文主要借助原子力显微镜（AFM）、X-射线光电子能谱（XPS）等实验手段，纳米尺度上在线原位地研究了高温临界组成PMMMA/SAN（50／50，w／w）共混薄膜体系，分析并探讨了此共混薄膜表面相分离及其超薄膜体系的润湿／去润湿和相分离行为。首先，从敲击式AFM中相位图的成像原理出发，建立了一个高温下用原位AFM定性鉴别不同聚合物的纳米尺寸微区的方法，即：先在基底（硅）上铺展一层非常平坦的单一组分（SAN）薄膜，再在此千膜上，通过旋涂由选择性溶剂（冰醋酸）配制的另一组分（PMMA）的极稀溶液，使之不能形成一层连续的完整膜，最后在高温（175℃）下用敲击模式的原子力显微镜（TM-AFM）检测相位图随退火时间的变化。得到在175℃的相位图中，PMMA富相比SAN的富相显得更暗，这为后续工作提供了定性鉴别相区的方法。其次，高温下用原位AFM研究了PMMA/SAN薄膜表面相分离过程，在线观察了相分离的归并过程，定量地得到了临界相分离温度，并给出了特征波矢对时间依赖关系的标度指数，划分了相分离动力学演变的不同阶段。对于膜厚约为130nm的体系，表面相分离的临界温度大约为165℃，其表面相分离的特征波矢与时间的标度关系q+（t）-t-n，在整个实验时间内，随时间的演变过程中，显示了两个不同的指数变化区，即前期很慢的n=0.13和后期的n＝1／3。0.13的指数关系可能是由于表面聚合物链的几何受限及表面富集相把部分新生成的另一相覆盖所致，1／3的指数关系可以认为是由普遍的Brownian扩散所致。而对于膜厚为50曲的此组成共混薄膜，得到的标度关系与C汕n线性理论吻合得非常好的Spinodal Deposition（SD）表面相分离的初期，即n＝0，这是由于降低膜厚 增加了共混物的相容性，提高了临界温度，从而减缓了相分离过程，使得在我 们观测的时间范围内更易观察到表面相分离的初期。再次，用阶梯式降温的好M和XPS，发现了PMMA/SAN体系原位和离位实验结果存在巨大差别的主要原因之一—润湿温度的存在。对PMMA/SAN（50／50，w／w，-130nm）共混薄膜体系，原位AFM的退火和准淬火实验表明， 虽然在高温和室温、真空和常态、原位和离位，相分离的聚合物共混薄膜表面 形貌变化不大，但是表面物理性质却有很大的区别。原位XPS实验表明，未经 任何处理的样品在185℃退火时，很快在离表面很薄的下面形成一层PMMA含 量远低于本体值的薄层，之后最表面的PMMA也往本体迁移，直至表面SAN 的含量远高于它的本体值。对已在175℃退火20hr的此样品，逐渐降温退火过 程的原位XPS表明，当退火温度降至145oC时，样品表面几乎完全被PMMA覆盖，很好地验证了Conlposto等提出的润湿温度的假设，即对此体系，润湿温 度是原位和离位存在巨大的差异的主要因素之一，这与原位AFM的实验结果也，存在很好的一致性。最后，高温下原位观察了硅基底上PMMA/SAN超薄膜（膜厚-Rg）的去润湿、相分离过程和PMMA在基底上的润湿过程，以及云母基底上的该体系高温下的稳定润湿行为。以硅为基底的PMM刀sAN共混超薄膜在155”c下发生了类 似sPinodal dewetting的去润湿，其原因可能是在垂直于基底的浓度梯度引起的表面组成的涨落，对这种去润湿的动力学还进行了探讨。以硅为基底的PMMA/SAN共混超薄膜在175℃下不仅发生了类似spinodal dewetting的去润 湿，而且还发生了去润湿液滴内部的相分离以及相分离析出的PMMA润湿硅基底的过程，提出了一个简单的模型描述了这种复杂的过程。此外，还研究了不同基底对此共混超薄膜体系的润湿行为进行了研究，以云母为基底的此共混体系在175℃下长时间内是稳定的，其原因可能是云母与PMMA和SAN均有很强的作用力，足于补偿聚合物链在构象嫡上的损失。

Phase Behavior and dewetting for polymer blend films studied by in situ AFM and XPS: From thin to ultrathin films

In this work, the film thickness (l(0)) effect on the phase and dewetting behaviors of the blend film of poly(methyl methacrylate)/poly (styrene-ran-acrylonitrile) (PMMA/SAN) has been studied by in situ atomic force microscopy (AFM) and X-ray photoelectron spectroscopy (XPS). The thinner film shows the more compatibility of the blend, and the phase separation of the film occurs at l(0) > 5R(g) (radius of gyration). An initially time-independent q*, the characteristic wavenumber of the phase image, which is in good agreement of Cahn's linearized theory for the early stage of spinodal decomposition, has been obtained in real space and discussed in detail. For 5R(g) > l(0) > 3R(g), a "pseudo-dewetting/(phase separation + wetting)" behavior occurs, where the pseudo-wetting is driven by the concentration fluctuation mechanism. For 10 < 3R(g), a "real dewetting/(phase separation + wetting)" behavior occurs.

Tratamento de soluções de cromo (III) por flotação a ar dissolvido

O presente trabalho estuda a viabilidade da utilização do processo de flotação a ar dissolvido (FAD) no tratamento de efluentes contendo cromo. Tal processo é analisado comparativamente à sedimentação. Urna revisão dos diferentes tipos de processos de separação ou de recuperação do cromo é, também, aqui apresentada. Soluções contendo 200 mg.l" de cromo tri ou hexavalente foram estudadas quanto às condições ideais de precipitação, às características de sedimentação e de flotação a ar dissalvido em regime descontínuo e contlnuo. Agentes poliméricos foram testados no intuito de melhorar as condições de clarificação. O processo de FAD foi o que apresentou melhores resultados no que se refere a cinética de separação sólido/líquido, e em termos de clarificação das soluções. Estudos de separação sólido/líquido de soluções contendo cromo VI foram feitos por estes dois processos empregando sulfato ferroso e sulfito de sódio como agentes redutores. A FAD mostrou ser eficiente para tratar as soluções quando reduzidas com sulfito de sódio. Porém, no caso da utilização do sulfato ferroso como redutor, o rendimento da FAD diminuiu no tratamento de soluções que continham sólidos suspensos acima de uma concentração crítica. Polímeros também foram empregados neste caso, e confirmaram sua atuação melhorando a cinética de separação sólido/líquido e como agentes que beneficiam a clarificação das soluções. Os resultados dos estudos de flotação por ar dissolvido em uma unidade contínua mostraram que é viavel a FAD sem agentes floculantes ou tensoativos. No entanto, estes aumentam os níveis de clarificação das soluções. Apenas os floculantes a base de amido mostraram-se ineficientes nesta aplicação. Conclui-se que o processo de FAD pode ser utilizado no tratamento de efluentes contendo cromo permitindo obter efluentes finais dentro dos padrões de emissão da legislação brasileira.

Segmented polyurethane nanocomposites: Impact of controlled particle size nanofillers on the morphological response to uniaxial deformation

A series of TPU nanocomposites were prepared by incorporating organically modified layered silicates with controlled particle size. To our knowledge, this is the first study into the effects of layered silicate diameter in polymer nanocomposites utilizing the same mineral for each size fraction. The tensile properties of these materials were found to be highly dependent upon the size of the layered silicates. A decrease in disk diameter was associated with a sharp upturn in the stress-strain curve and a pronounced increase in tensile strength. Results from SAXS/SANS experiments showed that the layered silicates did not affect the bulk TPU microphase structure and the morphological response of the host TPU to deformation or promote/hinder strain-induced soft segment crystallization. The improved tensile properties of the nanocomposites containing the smaller nanofillers resulted from the layered silicates aligning in the direction of strain and interacting with the TPU sequences via secondary bonding. This phenomenon contributes predominantly above 400% strain once the microdomain architecture has largely been disassembled. Large tactoids that are unable to align in the strain direction lead to concentrated tensile stresses between the polymer and filler, instead of desirable shear stresses, resulting in void formation and reduced tensile properties. In severe cases, such as that observed for the composite containing the largest silicate, these voids manifest visually as stress whitening.

A software tool for simulating spatial separation and kinetics in biological membranes

Self-segregation and compartimentalisation are observed experimentally to occur spontaneously on live membranes as well as reconstructed model membranes. It is believed that many of these processes are caused or supported by anomalous diffusive behaviours of biomolecules on membranes due to the complex and heterogeneous nature of these environments. These phenomena are on the one hand of great interest in biology, since they may be an important way for biological systems to selectively localize receptors, regulate signaling or modulate kinetics; and on the other, they provide an inspiration for engineering designs that mimick natural systems. We present an interactive software package we are developing for the purpose of simulating such processes numerically using a fundamental Monte Carlo approach. This program includes the ability to simulate kinetics and mass transport in the presence of either mobile or immobile obstacles and other relevant structures such as liquid-ordered lipid microdomains. We also present preliminary simulation results regarding the selective spatial localization and chemical kinetics modulating power of immobile obstacles on the membrane, obtained using the program.

Kinetics of picosecond laser pulse induced charge separation and proton transfer in bacteriorhodopsin

Bacteriorhodopsin (BR) films oriented by an electrophoretic method are deposited on a transparent conductive ITO glass. A counterelectrode of copper and gelose gel is used to compose a sandwich-type photodetector with the structure of ITO/BR film/gelose gel/Cu. A single 30-ps laser pulse and a mode-locked pulse train are respectively used to excite the BR photodetector. The ultrafast failing edge and the bipolar response signal are measured by the digital oscilloscope under seven different time ranges. Marquardt nonlinear least squares fitting is used to fit all the experimental data and a good fitting equation is found to describe the kinetic process of the photoelectric signal. Data fitting resolves six exponential components that can be assigned to a seven-step BR photocycle model: BR-->K-->KL-->L-->M-->N-->O-->BR. Comparing tests of the BR photodetector with a 100-ps Si PIN photodiode demonstrates that this type of BIR photocletector has at least 100-ps response time and can also serve as a fast photoelectric switch. (C) 2003 Society of Photo-Optical Instrumentation Engineers.

Kinetics and mechanism of Yb(III) extraction and separation from Y(III) with mixtures of bis(2,4,4-trimethylpentyl)phosphinic acid and 2-ethylhexyl phosphonic acid mono-2-ethylhexyl ester

The ytterbium(III) extraction kinetics and mechanism with mixtures of bis(2,4,4-trimethylpentyl)phosphinic acid (Cyanex272) and 2-ethylhexyl phosphonic acid mono-2-ethylhexyl ester (P507) dissolved in heptane have been investigated by constant interfacial cell with laminar flow. The effects of the stirring rate, temperature, extractant concentration, and pH on the extraction with mixtures of Cyanex272 and P507 have been studied. The results are compared with those of the system with Cyanex272 or P507 alone. It is concluded that the Yb(III) extraction rate is enhanced with mixtures extractant of Cyanex272 and P507 according to their values of the extraction rate constant, which is due to decreasing the activation energy of the mixtures. At the same time, the mixtures exhibits no synergistic effects for Y(III), which provides better possibilities for Yb(III) and Y(III) separations at a proper conditions than anyone alone. Moreover, thermodynamic extraction separation Yb(III) and Y(III) by the mixtures has been discussed, which agrees with kinetics results. Extraction rate equations have also been obtained, and through the approximate solutions of the flux equation, diffusion parameters and thickness of the diffusion film have been calculated.

Kinetics separation of copper and palladium by sodium hydroxide precipitation and its analytical application

The method of the kinetics separation of copper and palladium by sodium hydroxide precipitation was described. The reaction orders, apparent rate constants, apparent activation energy of the reactions between sodium hydroxide and copper, and palladium were determined, and the introduced error for the determination of palladium with separating copper and-palladium by sodium hydroxide precipitation was calculated, The proposed method has been applied to determine palladium in the aldehyde catalyst with good result.

Kinetics of phase transformations in a model with metastable fluid-fluid separation: A molecular dynamics study

By molecular dynamics (MD) simulations we study the crystallization process in a model system whose particles interact by a spherical pair potential with a narrow and deep attractive well adjacent to a hard repulsive core. The phase diagram of the model displays a solid-fluid equilibrium, with a metastable fluid-fluid separation. Our computations are restricted to fairly small systems (from 2592 to 10368 particles) and cover long simulation times, with constant energy trajectories extending up to 76x10(6) MD steps. By progressively reducing the system temperature below the solid-fluid line, we first observe the metastable fluid-fluid separation, occurring readily and almost reversibly upon crossing the corresponding line in the phase diagram. The nucleation of the crystal phase takes place when the system is in the two-fluid metastable region. Analysis of the temperature dependence of the nucleation time allows us to estimate directly the nucleation free energy barrier. The results are compared with the predictions of classical nucleation theory. The critical nucleus is identified, and its structure is found to be predominantly fcc. Following nucleation, the solid phase grows steadily across the system, incorporating a large number of localized and extended defects. We discuss the relaxation processes taking place both during and after the crystallization stage. The relevance of our simulation for the kinetics of protein crystallization under normal experimental conditions is discussed. (C) 2002 American Institute of Physics.

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