The collapse of linear polyelectrolyte chains in a poor solvent: When does a collapsing polyelectrolyte collect its counter ions?

The collapse of linear polyelectrolyte chains in a poor solvent: When does a collapsing polyelectrolyte collect its counter ions? The collapse of polyions in a poor solvent is a complex system and is an active research subject in the theoretical polyelectrolyte community. The complexity is due to the subtle interplay between hydrophobic effects, electrostatic interactions, entropy elasticity, intrinsic excluded volume as well as specific counter-ion and co-ion properties. Long range Coulomb forces can obscure single molecule properties. The here presented approach is to use just a small amount of screening salt in combination with a very high sample dilution in order to screen intermolecular interaction whereas keeping intramolecular interaction as much as possible (polyelectrolyte concentration cp ≤ 12 mg/L, salt concentration; Cs = 10^-5 mol/L). This is so far not described in literature. During collapse, the polyion is subject to a drastic change in size along with strong reduction of free counterions in solution. Therefore light scattering was utilized to obtain the size of the polyion whereas a conductivity setup was developed to monitor the proceeding of counterion collection by the polyion. Partially quaternized PVP’s below and above the Manning limit were investigated and compared to the collapse of their uncharged precursor. The collapses were induced by an isorefractive solvent/non-solvent mixture consisting of 1-propanol and 2-pentanone, with nearly constant dielectric constant. The solvent quality for the uncharged polyion could be quantified which, for the first time, allowed the experimental investigation of the effect of electrostatic interaction prior and during polyion collapse. Given that the Manning parameter M for QPVP4.3 is as low as lB / c = 0.6 (lB the Bjerrum length and c the mean contour distance between two charges), no counterion binding should occur. However the Walden product reduces with first addition of non solvent and accelerates when the structural collapse sets in. Since the dielectric constant of the solvent remains virtually constant during the chain collapse, the counterion binding is entirely caused by the reduction in the polyion chain dimension. The collapse is shifted to lower wns with higher degrees of quaternization as the samples QPVP20 and QPVP35 show (M = 2.8 respectively 4.9). The combination of light scattering and conductivity measurement revealed for the first time that polyion chains already collect their counter ions well above the theta-dimension when the dimensions start to shrink. Due to only small amounts of screening salt, strong electrostatic interactions bias dynamic as well as static light scattering measurements. An extended Zimm formula was derived to account for this interaction and to obtain the real chain dimensions. The effective degree of dissociation g could be obtained semi quantitatively using this extrapolated static in combination with conductivity measurements. One can conclude the expansion factor a and the effective degree of ionization of the polyion to be mutually dependent. In the good solvent regime g of QPVP4.3, QPVP20 and QPVP35 exhibited a decreasing value in the order 1 > g4.3 > g20 > g35. The low values of g for QPVP20 and QPVP35 are assumed to be responsible for the prior collapse of the higher quaternized samples. Collapse theory predicts dipole-dipole attraction to increase accordingly and even predicts a collapse in the good solvent regime. This could be exactly observed for the QPVP35 sample. The experimental results were compared to a newly developed theory of uniform spherical collapse induced by concomitant counterion binding developed by M. Muthukumar and A. Kundagrami. The theory agrees qualitatively with the location of the phase boundary as well as the trend of an increasing expansion with an increase of the degree of quaternization. However experimental determined g for the samples QPVP4.3, QPVP20 and QPVP35 decreases linearly with the degree of quaternization whereas this theory predicts an almost constant value.

Crystal phases and glassy dynamics in monodisperse hard ellipsoids

We have performed Monte Carlo and molecular dynamics simulations of suspensions of monodisperse, hard ellipsoids of revolution. Hard-particle models play a key role in statistical mechanics. They are conceptually and computationally simple, and they offer insight into systems in which particle shape is important, including atomic, molecular, colloidal, and granular systems. In the high density phase diagram of prolate hard ellipsoids we have found a new crystal, which is more stable than the stretched FCC structure proposed previously . The new phase, SM2, has a simple monoclinic unit cell containing a basis of two ellipsoids with unequal orientations. The angle of inclination is very soft for length-to-width (aspect) ratio l/w=3, while the other angles are not. A symmetric state of the unit cell exists, related to the densest-known packings of ellipsoids; it is not always the stable one. Our results remove the stretched FCC structure for aspect ratio l/w=3 from the phase diagram of hard, uni-axial ellipsoids. We provide evidence that this holds between aspect ratios 3 and 6, and possibly beyond. Finally, ellipsoids in SM2 at l/w=1.55 exhibit end-over-end flipping, warranting studies of the cross-over to where this dynamics is not possible. Secondly, we studied the dynamics of nearly spherical ellipsoids. In equilibrium, they show a first-order transition from an isotropic phase to a rotator phase, where positions are crystalline but orientations are free. When over-compressing the isotropic phase into the rotator regime, we observed super-Arrhenius slowing down of diffusion and relaxation, and signatures of the cage effect. These features of glassy dynamics are sufficiently strong that asymptotic scaling laws of the Mode-Coupling Theory of the glass transition (MCT) could be tested, and were found to apply. We found strong coupling of positional and orientational degrees of freedom, leading to a common value for the MCT glass-transition volume fraction. Flipping modes were not slowed down significantly. We demonstrated that the results are independent of simulation method, as predicted by MCT. Further, we determined that even intra-cage motion is cooperative. We confirmed the presence of dynamical heterogeneities associated with the cage effect. The transit between cages was seen to occur on short time scales, compared to the time spent in cages; but the transit was shown not to involve displacements distinguishable in character from intra-cage motion. The presence of glassy dynamics was predicted by molecular MCT (MMCT). However, as MMCT disregards crystallization, a test by simulation was required. Glassy dynamics is unusual in monodisperse systems. Crystallization typically intervenes unless polydispersity, network-forming bonds or other asymmetries are introduced. We argue that particle anisometry acts as a sufficient source of disorder to prevent crystallization. This sheds new light on the question of which ingredients are required for glass formation.

Synthese und präklinische Evaluation von neuen antioxidativen Substanzen zur Neuroprotektion

Oxidativer Stress ist seit über 25 Jahren als ein Charakteristikum vieler pathologischer Prozesse bekannt. Helmut Sies beschrieb bereits in den 1980er Jahren oxidativen Stress als Störung in der prooxidativ – antioxidativen Balance zugunsten der prooxidativen Seite, wodurch es potentiell zu Schäden in verschiedenen Geweben kommt. Oxidativer Stress tritt sowohl bei neurodegenerativen Erkrankungen wie Morbus Alzheimer, Morbus Parkinson und zerebraler Ischämie, bei peripheren Erkrankungen wie Arteriosklerose, als auch beim Alterungsprozess per se auf und wird als Ursache oder zumindest als ein krankheitsfördernder Faktor diskutiert. Die in in vitro-Experimenten als vielversprechend antioxidativ getesteten Substanzen (meist phenolhaltig) ergaben in mehreren klinischen Studien keinen signifikanten Vorteil. Um die Ursachen dieser Ergebnisse näher zu analysieren, wurde in der vorliegenden Arbeit auf Basis des cytoprotektiven Phenothiazins, einem aromatischen trizyklischen Amin, der Einfluss von verschiedenen Substituenten im Hinblick auf Lipophilie, Radikalstabilisierung und Löslichkeit des Moleküls chemisch vorhergesagt. Anhand dieser in silicio Struktur-Wirkungs-Beziehung wurden anschließend neue Modellsubstanzen synthetisiert, welche sich systematisch in den drei zuvor genannten Parametern unterschieden. Dies wurde durch Substitution von unterschiedlich langen Fettsäureketten, von löslichkeitsbeeinflussenden funktionellen Gruppen, oder durch Anellierung zusätzlicher aromatischer Ringe erreicht. In den folgenden Versuchen zu antioxidativer Kapazität, zellulärem Überleben, Lipidperoxidation und Proteinoxidation zeigte sich, dass mit gesteigerter Stabilität der korrespondierenden Radikale und mit wachsender Lipophilie die antioxidativ cytoprotektive Aktivität der neuen Derivate bis zu einer gewissen Grenze (logP ≈ 7) signifikant zunahm; über diesen Wert hinaus sank die Effektivität wieder ab. Benzanellierte Phenothiazine entwickelten mit EC50-Werten von ungefähr 8-10 nM die höchste mittlere effektive Wirkkonzentration in oxidativ geschädigten, klonalen hippocampalen Neuronen (HT-22 Zellen). Dies entspricht einer etwa 20-fachen Verbesserung gegenüber α-Tocopherol, welches bisher als bestes natürliches lipophiles Antioxidans angesehen wurde. Im Vergleich zu Phenothiazin erreichen die neuen Antioxidantien immerhin eine höhere Effektivität um den Faktor 4. Folglich sind es sowohl Aspekte der Löslichkeit und der Distribution, welche die Potenz der gegenwärtigen Antioxidantien limitieren als auch Aspekte der Radikalstabilisierung, die Einfluss auf die primäre Wirksamkeit nehmen. Dieses Wissen sollte beim zukünftigen Design neuer, antioxidativ potenter Moleküle im Hinblick auf ihren langfristigen Einsatz bei neurodegenerativen Erkrankungen von Nutzen sein.