Beeinflussung der Grenzflächenspannung zwischen den Schmelzen "unverträglicher" Homopolymere durch Copolymere

Im Rahmen dieser Arbeit wurde am System Polyethylenoxid / Polypropylenoxid (PEO / PPO) der Einfluß von Copolymeren auf die Grenzflächenspannung Sigma von Homopolymerblends untersucht. Als Additive dienten Triblockcopolymere EO-block-PO-block-EO bzw. PO-block-EO-block-PO, Diblockcopolymere S-block-EO sowie statistische Copolymere EO-ran-PO. Die Additive wurden so ausgewählt, daß sich Paare von Additiven jeweils in genau einer Eigenschaft (Zusammensetzung, Kettenlänge, Blockanordnung) unterscheiden, in allen anderen Parametern jedoch vergleichbar sind. Die Grenzflächenspannung wurde experimentell mit Hilfe der Pendant-Drop-Methode in Abhängigkeit von der Temperatur ermittelt, wobei das Polymer mit der höheren Dichte, PEO, die Tropfenphase und PPO die Matrixphase bildet. Das Additiv wurde bei Messung der Grenzflächenspannung der ternären Systeme in unterschiedlichen Konzentrationen entweder einer oder beiden Homopolymerphasen zugegeben. Die Konzentrationsabhängigkeit von Sigma lässt sich sowohl mit dem Modell von Tang und Huang als auch mit einem Langmuir-analogen Ansatz gut beschreiben.Um den Zusammenhang zwischen sigma und dem Phasenverhalten zu untersuchen, wurden für einige der ternären Systeme Trübungskurven bei 100°C aufgenommen. Der Vergleich zwischen den Phasendiagrammen und den korrespondierenden Werten von sigma weist darauf hin, dass ein Additiv sigma gerade dann wirksam reduziert, wenn es einem Homopolymer zugefügt wird, mit dem es nur begrenzt verträglich ist, da dann die Triebkraft zur Anlagerung an der Grenzfläche besonders ausgeprägt ist. Das bereits bekannte Phänomen, wonach der Wert der Grenzflächenspannung davon abhängig sein kann, in welcher der Phasen das Additiv zu Beginn der Messung vorliegt, wurde ausführlich untersucht. Es wird angenommen, dass das System nicht in jedem Fall das thermodynamische Gleichgewicht erlangt und der beobachtete Effekt auf das Erreichen stationärer Zustände zurückzuführen ist. Dieses Verhalten kann mit einem Modell beschrieben werden, in welches das Viskositätsverhältnis der Homopolymere sowie der Verteilungskoeffizient des Copolymers zwischen den Homopolymerphasen eingehen. Aus Löslichkeitsparametern wurde der binäre Wechselwirkungsparameter Chi PEO/PPO = 0.18 abgeschätzt und mit diesem die theoretischen Werte für sigma zwischen PEO und PPO nach den Modellen von Roe bzw. Helfand und Tagami berechnet. Der Vergleich mit den experimentellen Daten des binären Systems zeigt, dass beide Ansätze sigma-Werte liefern, die in der Größenordnung der experimentellen Daten liegen, hierbei erweist sich der Ansatz von Roe als besonders geeignet. Die Temperaturabhängigkeit der Grenzflächenspannung wird jedoch durch beide Ansätze unzutreffend wiedergegeben. Mit dem Modell von Helfand und Tagami wurden eine Grenzflächendicke von 7.9 Å und das Dichteprofil der Grenzfläche berechnet. Für die Copolymere EO92PO56EO92 und S9EO22 (die Indices geben die Zahl der Monomereinheiten an) können die Grenzflächenüberschusskonzentrationen, die kritische Mizellenkonzentration sowie der einem Additivmolekül an der Grenzschicht zur Verfügung stehende Platz bestimmt werden.Der Vergleich unterschiedlicher Copolymere hinsichtlich ihrer Fähigkeit, sigma wirkungsvoll herabzusetzen, zeigt, dass im Fall von Triblockcopolymeren die Anordnung der Blöcke gegenüber der Zusammensetzung eine untergeordnete Rolle spielt. Mit zunehmender Kettenlänge nimmt die Effektivität als Compatibilizer sowohl bei Blockcopolymeren als auch bei statistischen Copolymeren zu.

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