Fluorescent ionene-dye nanoparticles by electrostatic self-assembly

It is investigated that the association of linear cationic model polyelectrolytes with oppositely charged pyrenetetrasulfonate (PY) in aqueous solution. For this purpose water soluble ionenes were prepared via Menschutkin reaction from 1-4-diazabicyclo [2.2.2] octane and e.g. 1,6-dibromohexane and 1,4 dibromotransbuten. The complex formation between dye molecules PY and oppositely charged ionenes (PD4, PD6, PD4-2 and PD4coPD6) of different chemical structures in aqueous solution was studied by light scattering (LS), small angle neutron scattering (SANS), UV-Vis, fluorescence spectroscopy and atomic force microscopy (AFM). Spectrophotometric titration results revealed that PY molecules were bind to ionenes cooperative process due to π-π interaction. Cooperative binding constant KD was determined as 6.4 x 10^6 M^-1 (+ or - 10^5 M^-1). It was found that binding mode and geometry of PY is predominantly depending on inter-charge distances of corresponding ionenes. Resultant complexes have exhibited size and structure variation as a function of charge ratio (L), ionic strength, inter-charge distances. Spherical dye-ionene complexes of which radius of gyration ranging between (RG) 50 and 190 nm have been observed in PD4-PY system while this was not possible with a different ionene (PD6) or either case ionene excess. It was found that most of the PD4-PY complexes had RG / RH ~ 0.78. Based on the AFM and LS results, spherical complexes have certain colloidal stability and their size can effectively controlled by changing the L.

Electrostatic supramolecular assembly of charged dendritic polymers and their biological application

The aim of this study was the development of functional multilayer films through electrostatic layer by layer (LbL) assembly of dendritic macromolecules, the investigation of the fundamental properties of these multilalyered films and the study of their biological applications. rnThe synthesis of the anionic hyperbranched polyglycerols (hbPG) and the preparation of multilayers made of hbPG/phosphorus dendrimer as well as the influences of deposition conditions on multilayers were reported. The thicknesses of multilayer films increase with a decrease of molecular weight of anionic hbPGs. The multilayer films fabricated by low molecular weight hbPGs grow less regularly due to the less charged carboxylic acid groups providing the relative weaker electrostatic forces for the deposition. The thicknesses of multilayer films are reduced with increasing pH values and decreasing the concentration of NaCl. The observed changes of multilayer thickness and surface morphology could be interpreted with the aid of theories regarding the charge density and conformation of the anionic hbPG chains in solution. rnBesides the study of fundamental properties of hbPG/phosphorus multilayer films, antifouling thin films derived from hbPG layers were developed. The antifouling properties of hbPG layers were found to correlate with factors of the molecular weight of anionic hbPG and the film thickness. It was demonstrated that anionic hbPG single layer with highest molecular weight can reduce non specific protein adsorption more efficiently than single layer with lower molecular weight and all the hbPG bilayers possessed excellent property of antifouling. rnPhosphorus dendrimer multilayers were successfully prepared as the platforms to detect DNA immobilization and hybridization. The effect of NaCl concentration on the multilayer film thickness was evaluated to obtain the optimized film thickness. Making use of the multilayer deposited at the optimized condition as a substrate, a high loading of DNA probes was achieved through covalent coupling of probe DNA with the as-formed multilayer films. The hybridization of target DNA with immobilized probe DNA was then carried out and studied by SPFS. The limit of detection upon hybridization was estimated on various dendrimer multilayer platforms. The minimum detection concentration for DNA hybridization is in the same order of magnitude compared with other neutral phosphorus dendrimer systems. Furthermore, the LbL deposition of phosphorus dendrimer multilayers provided a mild and simple way to prepare platforms as DNA microarrays. rnBased on the phosphorus dendrimer multilayer systems, dendritic star polymers were employed which have more reactive groups than that phosphorus dendrimers. The as-assembled dendritic star polymer multilayer films exhibited such distinct morphology characteristics that they underwent extensive structural reorganization upon post-treatment under different pH conditions. Kinetic binding of probe DNA molecules on the outermost negatively charged dendritic surface was studied by SPR as well. The binding capacities of probe DNA on the multilayer surfaces fabricated from the first-generation and the second-generation of dendritic star polymers were compared. The improved binding capacity was achieved from the second-generation of dendritic star polymer multilayer films due to their more reactive groups. DNA hybridization reaction on dendritic multilayer films was investigated by SPFS. The similar hybridization behaviors were found on both multilayer surfaces. Meanwhile, the hybridization kinetic affinities were compared with that of phosphorus dendrimer multilayer surfaces and showed improved detection sensitivity than phosphorus dendrimer multilayer films.rn

Polyelectrolytes and their counterions studied by EPR spectroscopy

In this thesis methods of EPR spectroscopy were used to investigate polyion-counterion interactions in polyelectrolyte solutions. The fact that EPR techniques are local methods is exploited and by employing spin-carrying (i.e., EPR-active) probe ions it is possible to examine polyelectrolytes from the counterions’ point of view. It was possible to gain insight into i) the dynamics and local geometry of counterion attachment, ii) conformations and dynamics of local segments of the polyion in an indirect manner, and iii) the spatial distribution of spin probe ions that surround polyions in solution. Analysis of CW EPR spectra of dianion nitroxide spin probe Fremy’s salt (FS, potassium nitrosodisulfonate) in solutions of cationic PDADMAC polyelectrolyte revealed that FS ions and PDADMAC form transient ion pairs with a lifetime of less than 1 ns. This effect was termed as dynamic electrostatic attachment (DEA). By spectral simulation taking into account the rotational dynamics as a uniaxial Brownian reorientation, also the geometry of the attached state could be characterized. By variation of solvent, the effect of solvent viscosity and permittivity were investigated and indirect information of the polyelectrolyte chain motion was obtained. Furthermore, analysis of CW EPR data also indicates that in mixtures of organic solvent/water PDADMAC chains are preferentially solvated by the organic solvent molecules, while in purely aqueous mixtures the PDADMAC chain segments were found in different conformations depending on the concentration ratio R of FS counterions to PDADMAC repeat units.Broadenings in CW EPR spectra of FS ions were assigned to spin-exchange interaction and hence contain information on the local concentrations and distributions of the counterions. From analysis of these broadenings in terms of a modified cylindrical cell approach of polyelectrolyte theory, radial distribution functions for the FS ions in the different solvents were obtained. This approach breaks down in water above a threshold value of R, which again indicates that PDADMAC chain conformations are altered as a function of R. Double electron-electron resonance (DEER) measurements of FS ions were carried out to probe the distribution of attached counterions along polyelectrolyte chains. For a significant fraction of FS spin probes in solution with a rigid-rod model polyelectrolyte containing charged Ru2+-centers, a bimodal distance distribution was found that nicely reproduced the spacings of direct and next-neighbor Ru2+-centers along the polyelectrolyte: 2.35 and 4.7 nm. For the system of FS/PDADMAC, DEER data could be simulated by assuming a two-state distribution of spin probes, one state corresponding to a homogeneous (3-dimensional) distribution of spin probes in the polyelectrolyte bulk and the other to a linear (1-dimensional) distribution of spin probes that are electrostatically condensed along locally extended PDADMAC chain segments. From this analysis it is suggested that the PDADMAC chains form locally elongated structures of a size of at least ~5 nm.

Novel simulation methods for Coulomb and hydrodynamic interactions

This thesis presents new methods to simulate systems with hydrodynamic and electrostatic interactions. Part 1 is devoted to computer simulations of Brownian particles with hydrodynamic interactions. The main influence of the solvent on the dynamics of Brownian particles is that it mediates hydrodynamic interactions. In the method, this is simulated by numerical solution of the Navier--Stokes equation on a lattice. To this end, the Lattice--Boltzmann method is used, namely its D3Q19 version. This model is capable to simulate compressible flow. It gives us the advantage to treat dense systems, in particular away from thermal equilibrium. The Lattice--Boltzmann equation is coupled to the particles via a friction force. In addition to this force, acting on {it point} particles, we construct another coupling force, which comes from the pressure tensor. The coupling is purely local, i.~e. the algorithm scales linearly with the total number of particles. In order to be able to map the physical properties of the Lattice--Boltzmann fluid onto a Molecular Dynamics (MD) fluid, the case of an almost incompressible flow is considered. The Fluctuation--Dissipation theorem for the hybrid coupling is analyzed, and a geometric interpretation of the friction coefficient in terms of a Stokes radius is given. Part 2 is devoted to the simulation of charged particles. We present a novel method for obtaining Coulomb interactions as the potential of mean force between charges which are dynamically coupled to a local electromagnetic field. This algorithm scales linearly, too. We focus on the Molecular Dynamics version of the method and show that it is intimately related to the Car--Parrinello approach, while being equivalent to solving Maxwell's equations with freely adjustable speed of light. The Lagrangian formulation of the coupled particles--fields system is derived. The quasi--Hamiltonian dynamics of the system is studied in great detail. For implementation on the computer, the equations of motion are discretized with respect to both space and time. The discretization of the electromagnetic fields on a lattice, as well as the interpolation of the particle charges on the lattice is given. The algorithm is as local as possible: Only nearest neighbors sites of the lattice are interacting with a charged particle. Unphysical self--energies arise as a result of the lattice interpolation of charges, and are corrected by a subtraction scheme based on the exact lattice Green's function. The method allows easy parallelization using standard domain decomposition. Some benchmarking results of the algorithm are presented and discussed.

Scherverhalten kolloidaler Lagenphasen in Rohrströmungen

Kolloidale Suspensionen aus identischen kugelförmigen, geladenen Partikeln in wässrigen Medien stellen ein ideales Modellsystem zur Untersuchung des Gleichgewichtsverhaltens, aber auch des Nicht-Gleichgewichtsverhaltens Weicher Materie dar. So bilden derartige Systeme bei hinreichend starker und langreichweitiger elektrostatischer Repulsion fluid und kristallin geordnete Strukturen aus, die wegen der weitreichenden Analogie zu atomar kondensierter Materie als kolloidale Fluide und Kristalle bezeichnet werden. Von großem Vorteil ist dabei die Möglichkeit zur kontrollierten Einstellung der Wechselwirkung und die gute optische Zugänglichkeit für Mikroskopie und Lichtstreuung sowie die Weichheit der Materialien, aufgrund derer sich auch Zustände fernab des mechanischen Gleichgewichts gezielt präparieren lassen. Themenstellung der vorliegenden Arbeit ist die Untersuchung des Phasenverhaltens und der Fließmechanismen kolloidaler Kristalle in einer Rohrströmung. Im ersten Teil der Arbeit wird gezeigt, dass beim Fluss durch eine zylindrische Röhre Mehrphasenkoexistenz auftritt, wobei ein polykristalliner Kern von einer isotropen Scherschmelze umgeben ist. Zusätzlich treten an der Grenze zwischen diesen Phasen und an der Rohrwand Phasen hexagonal geordneter übereinander hinweggleitender Lagen auf. Der Vergleich zwischen auf der Basis der Navier-Stokes-Gleichung theoretisch berechneten und gemessenen Geschwindigkeitsprofilen zeigt, dass jede dieser Phasen für sich Newtonsches Fließverhalten aufweist. Die Gesamtviskosität ist hingegen durch die mit dem Durchsatz veränderliche Phasenzusammensetzung Nicht-Newtonsch. Damit gelang es, die erstmalig von Würth beschriebene Scherverdünnung auf eine Veränderung der Phasenzusammensetzung zurückzuführen. Im zweiten Teil der Arbeit wurde erstmals das Fließverhalten der Lagenphasen mittels Lichtstreuung und Korrelationsanalyse untersucht. Dafür wurde ein im Prinzip einfacher, aber leistungsstarker Aufbau realisiert, der es erlaubt, die zeitliche Veränderung der Bragg-Reflexe der Lagenphase in radialer und azimutaler Richtung zu verfolgen und mittels Fourieranalyse zu analysieren. In Abhängigkeit vom Durchsatz geht die zunächst rastend gleitende Lagenphase in eine frei gleitende Lagenphase über, wobei charakteristische Veränderungen der Spektren sowie der Korrelationsfunktionen auftreten, die detailliert diskutiert werden. Der Übergang im Gleitmechanismus ist mit einem Verlust der Autokorrelation der Rotationskomponente der periodischen Intra-Lagenverzerrung verbunden, während die Kompressionskomponente erhalten bleibt. Bei hohen Durchflüssen lassen die Reflexbewegungen auf das Auftreten einer Eigenschwingung der frei gleitenden Lagen schließen. Diese Schwingung lässt sich als Rotationsbewegung, gekoppelt mit einer transversalen Auslenkung in Vortexrichtung, beschreiben. Die Ergebnisse erlauben eine detaillierte Diskussion von verschiedenen Modellvorstellungen anderer Autoren.

Tail bridging vs. patchiness

The subject of this thesis are the interactions between nucleosome core particles (NCPs). NCPs are the primary storage units of DNA in eucaryotic cells. Each NCP consists of a core of eight histone proteins and a strand of DNA, which is wrapped around about two times. Each histone protein has a terminal tail passing over and between the superhelix of the wrapped DNA. Special emphasis was placed on the role of the histone tails, since experimental ndings suggest that the tails have a great in uence on the mutual attraction of the NCPs. In those experiments Mangenot et al. observe a dramatic change in the con guration of the tails, which is accompanied by evidence of mutual attraction between NCPs, when a certain salt concentration is reached. Existing models used in the theoretical approaches and in simulations focus on the description of the histone core and the wrapped DNA, but neglect the histone tails. We introduce the multi chain complex as a new simulation model. Here the histone core and the wrapping DNA are modelled via a charged sphere, while the histone tails are represented by oppositely charged chains grafted on the sphere surface. We start by investigating the parameter space describing a single NCP. The Debye-Huckel potential is used to model the electrostatic interactions and to determine the e ective charge of the NCP core. This value is subsequently used for a study of the pairinteraction of two NCPs via an extensive Molecular Dynamics study. The monomer distribution of the full chain model is investigated. The existence of tail bridges between the cores is demonstrated. Finally, by discriminating between bridging and non-bridging con gurations, we can show that the effect of tail bridging between the spheres does indeed account for the observed attraction. The full chain model can serve as a model to study the acetylation of the histone tails of the nucleosome. The reduction of the charge fraction of the tails, that corresponds to the process of acetylation, leads to a reduction or even the disappearance of the attraction. A recent MC study links this e ect to the unfolding of the chromatin ber in the case of acetylated histone tails. In this case the acetylation of the histone tails leads to the formation of heterochromatin, and one could understand how larger regions of the genetic information could be inactivated through this mechanism.

Complexes of polyelectrolytes with defined charge distance and different dendrimer counterions

Complexes of polyelectrolytes with defined charge distance and different dendrimer counterions Magdalena Chelmecka Max Planck Institute for Polymer Research; Ackermannweg 10; D-55128 Mainz ; Tel.: (+49) 06131- 379 – 226 A study of complexes in solution is of interest to investigate whether the formation of well-defined assemblies like in classical surfactant systems is possible. Aim of this thesis is to investigate the electrostatic self-assembly of linear polycations of varying charge distance with “large” counterions of varying architecture. We especially investigate the morphology of objects formed, but also their stability under salt free condition and after low molecular mass salt addition. As polycations, Poly(dialkylimino)-alkylene salts (Ionenes) I65MeBr and I25MeBr were chosen. Ionenes are synthesized via Menschutkin reaction and characterized by standard methods. Counterions are Polyamidoamine (PAMAM) dendrimers of generations G2.5, G5.5, G7.5 with -COONa surface groups and shape-persistent, Polyphenylene dendrimers of generation G1 with surface -COOH groups. A complex interplay of interactions is expected to direct the self assembly via electrostatic interaction, geometric factors, hydrophobic interaction or hydrogen bonds. Methods used for the investigation of complexes are: UV-spectroscopy, pH-metric techniques, dynamic and static light scattering, small angle neutron scattering,  potential measurements and potentiometric titration. Under certain conditions, (i.e. charge ratio of compounds, charge density of ionene and dendrimer also concentration of sample) polyelectrolyte systems composed of ionenes and dendrimers build complexes in solution. System compounds are typical polyelectrolytes, but structures which they build behave not usual for typical polyelectrolytes. In a one diffusion mode regime aggregates of about 100 nm hydrodynamic radius have been found. Such aggregates are core-shell or anisotropic core shell structures in the case of ionenes/PAMAM dendrimers complexes. These complexes are stable even at high ionic strength. In case of ionenes with poly(phenylene) dendrimers, hard sphere-like objects or spherical objects with hairy-like surface have been found in a one diffusion mode regime. Their stability at high ionic strength is lower. For the ionenes/poly(phenylene) dendrimers systems one transition point has been found from one to two diffusion processes, towards increasing ionene concentration, i.e. for the samples with fixed dendrimer concentration towards increasing ionic strength. For the diffusion profile of ionene/PAMAM dendrimers in most cases two transition regimes are observed. One at very low ionene concentration, the second one at high ionene concentrations, which again means for the samples with fixed dendrimer concentration, also at higher ionic strength. Both two mode regimes are separated by the one mode regime. As was confirmed experimentally, the one diffusion mode regime is caused by the motion of well defined assemblies. The two diffusion mode regimes are caused by the movement of different sized species in solution, large aggregates and middle-size aggregates (oligoaggregates). The location and also the number of transition points in the diffusion profiles is dependent on the ionene to dendrimer charge ratio, charge density of the compounds and concentration. No influence of the molecular mass of the ionene has been found. The aggregates are found to be charged on the surface, however this surface charge does not significantly influence the diffusion properties of the system.

Computer simulations of charged systems in partially periodic geometries

This work presents algorithms for the calculation of the electrostatic interaction in partially periodic systems. The framework for these algorithms is provided by the simulation package ESPResSo, of which the author was one of the main developers. The prominent features of the program are listed and the internal structure is described. In the following, algorithms for the calculation of the Coulomb sum in three dimensionally periodic systems are described. These methods are the foundations for the algorithms for partially periodic systems presented in this work. Starting from the MMM2D method for systems with one non-periodic coordinate, the ELC method for these systems is developed. This method consists of a correction term which allows to use methods for three dimensional periodicity also for the case of two periodic coordinates. The computation time of this correction term is neglible for large numbers of particles. The performance of MMM2D and ELC are demonstrated by results from the implementations contained in ESPResSo. It is also discussed, how different dielectric constants inside and outside of the simulation box can be realized. For systems with one periodic coordinate, the MMM1D method is derived from the MMM2D method. This method is applied to the problem of the attraction of like-charged rods in the presence of counterions, and results of the strong coupling theory for the equilibrium distance of the rods at infinite counterion-coupling are checked against results from computer simulations. The degree of agreement between the simulations at finite coupling and the theory can be characterized by a single parameter gamma_RB. In the special case of T=0, one finds under certain circumstances flat configurations, in which all charges are located in the rod-rod plane. The energetically optimal configuration and its stability are determined analytically, which depends on only one parameter gamma_z, similar to gamma_RB. These findings are in good agreement with results from computer simulations.

New discotic liquid crystals based on large polycyclic aromatic hydrocarbons as materials for molecular electronics

A series of new columnar discotic liquid crystalline materials based on the superphenalene (C96) core has been synthesized by oxidative cyclodehydrogenation with iron(III) chloride of suitable three-dimensional oligophenylene precursors. These compounds were investigated by means of differential scanning calorimetry (DSC), polarized optical microscopy (POM) and wide angle X-ray scattering (WAXS), and showed highly ordered supramolecular arrays and mesophase behavior over a broad temperature range. Good solubility, through the introduction of long alkyl chains, and the fact that these new superphenalene derivatives were found to be liquid crystalline at room temperature enabled the formation of highly ordered films (using the zone-casting technique), a requirement for application in organic electronic devices. The one-dimensional, intracolumnar charge carrier mobilities of superphenalene derivatives were determined using the pulse-radiolysis time-resolved microwave conductivity technique (PR-TRMC). Electrical properties of different C96-C12 architectures on mica surfaces were examined by using Electrostatic Force Microscopy (EFM) and Kelvin Probe Force Microscopy (KPFM). Hexa-peri-hexabenzocoronene (C42) derivatives substituted at the periphery with six branched alkyl ether chains were also synthesized. It was found that the introduction of ether groups within the side chains enhances the affinity of the discotic molecules towards polar surfaces, resulting in homeotropic self-assembly (as shown by POM and 2D-WAXS) when the compounds are processed from the isotropic state between two surfaces. A new, insoluble, superphenalene building block bearing six reactive sites was prepared, and was further used for the preparation of dendronized superphenalenes with bulky dendritic substituents around the core. UV/Vis and fluorescence experiments suggest reduced π-π stacking of the superphenalene cores as a result of steric hindrance between the peripheral dendritic units. A new family of graphitic molecules with partial ”zig-zag” periphery has been established. The incorporation of ”zig-zag” edges was shown to have a strong influence on the electronic properties of the new molecules (as studied by solution and solid-state UV/Vis, and fluorescence spectroscopy), leading to a significant bathochromic shift with respect to the parent PAHs (C42 and C96). The reactivity of the additional double bonds was examined. The attachment of long alkyl chains to a ”zig-zag” superphenalene core afforded a new, processable, liquid crystalline material.

Assembly and characterization of supramolecular architectures for biosensor applications

The research has included the efforts in designing, assembling and structurally and functionally characterizing supramolecular biofunctional architectures for optical biosensing applications. In the first part of the study, a class of interfaces based on the biotin-NeutrAvidin binding matrix for the quantitative control of enzyme surface coverage and activity was developed. Genetically modified ß-lactamase was chosen as a model enzyme and attached to five different types of NeutrAvidin-functionalized chip surfaces through a biotinylated spacer. All matrices are suitable for achieving a controlled enzyme surface density. Data obtained by SPR are in excellent agreement with those derived from optical waveguide measurements. Among the various protein-binding strategies investigated in this study, it was found that stiffness and order between alkanethiol-based SAMs and PEGylated surfaces are very important. Matrix D based on a Nb2O5 coating showed a satisfactory regeneration possibility. The surface-immobilized enzymes were found to be stable and sufficiently active enough for a catalytic activity assay. Many factors, such as the steric crowding effect of surface-attached enzymes, the electrostatic interaction between the negatively charged substrate (Nitrocefin) and the polycationic PLL-g-PEG/PEG-Biotin polymer, mass transport effect, and enzyme orientation, are shown to influence the kinetic parameters of catalytic analysis. Furthermore, a home-built Surface Plasmon Resonance Spectrometer of SPR and a commercial miniature Fiber Optic Absorbance Spectrometer (FOAS), served as a combination set-up for affinity and catalytic biosensor, respectively. The parallel measurements offer the opportunity of on-line activity detection of surface attached enzymes. The immobilized enzyme does not have to be in contact with the catalytic biosensor. The SPR chip can easily be cleaned and used for recycling. Additionally, with regard to the application of FOAS, the integrated SPR technique allows for the quantitative control of the surface density of the enzyme, which is highly relevant for the enzymatic activity. Finally, the miniaturized portable FOAS devices can easily be combined as an add-on device with many other in situ interfacial detection techniques, such as optical waveguide lightmode spectroscopy (OWLS), the quartz crystal microbalance (QCM) measurements, or impedance spectroscopy (IS). Surface plasmon field-enhanced fluorescence spectroscopy (SPFS) allows for an absolute determination of intrinsic rate constants describing the true parameters that control interfacial hybridization. Thus it also allows for a study of the difference of the surface coupling influences between OMCVD gold particles and planar metal films presented in the second part. The multilayer growth process was found to proceed similarly to the way it occurs on planar metal substrates. In contrast to planar bulk metal surfaces, metal colloids exhibit a narrow UV-vis absorption band. This absorption band is observed if the incident photon frequency is resonant with the collective oscillation of the conduction electrons and is known as the localized surface plasmon resonance (LSPR). LSPR excitation results in extremely large molar extinction coefficients, which are due to a combination of both absorption and scattering. When considering metal-enhanced fluorescence we expect the absorption to cause quenching and the scattering to cause enhancement. Our further study will focus on the developing of a detection platform with larger gold particles, which will display a dominant scattering component and enhance the fluorescence signal. Furthermore, the results of sequence-specific detection of DNA hybridization based on OMCVD gold particles provide an excellent application potential for this kind of cheap, simple, and mild preparation protocol applied in this gold fabrication method. In the final chapter, SPFS was used for the in-depth characterizations of the conformational changes of commercial carboxymethyl dextran (CMD) substrate induced by pH and ionic strength variations were studied using surface plasmon resonance spectroscopy. The pH response of CMD is due to the changes in the electrostatics of the system between its protonated and deprotonated forms, while the ionic strength response is attributed from the charge screening effect of the cations that shield the charge of the carboxyl groups and prevent an efficient electrostatic repulsion. Additional studies were performed using SPFS with the aim of fluorophore labeling the carboxymethyl groups. CMD matrices showed typical pH and ionic strength responses, such as high pH and low ionic strength swelling. Furthermore, the effects of the surface charge and the crosslink density of the CMD matrix on the extent of stimuli responses were investigated. The swelling/collapse ratio decreased with decreasing surface concentration of the carboxyl groups and increasing crosslink density. The study of the CMD responses to external and internal variables will provide valuable background information for practical applications.

Nanostructuring by templated synthesis of nanowires and controlled crystallization of calcium phosphate on self-assembled monolayers

The idea was to obtain nanowires in a chemical laboratory under convenient and simple conditions by employing templates. Thus it was possible to produce nanochains by interlinking of gold colloids synthesized by the two-phase-method of M. Brust with by making use of vanadiumoxide nanotubes as template. The length of the resulting nanowires is varying between 1100 nm and 200 nm with a diameter of about 16 nm. Due to a flexible linker the obtained nanowires are not completely rigid. These unique structural features could make them interesting objects for structuring and assembling in the nanoscale range. Another way to produce gold nanowires was realized by a two-step surface metallization procedure, using type I collagen fibres as a template. Gold colloids were used to label the collagen fibres by direct electrostatic interaction, followed by growth steps to enhance the size of the adsorbed colloidal gold crystals, resulting in a complete metallization of the template surface. The length of the resulting gold nanowires reaches several micrometers, with a diameter ~ 100 to 120 nm. To gain a deeper insight into the process of biomineralization the cooperative effect of self-assembled monolayers as substrate and a soluble counterpart on the nucleation and crystal growth of calcium phosphate was studied by diffusion techniques with a pH switch as initiator. As soluble component Perlucin and Nacrein were used. Both are proteins originally extracted from marine organisms, the first one from the Abalone shell and the second one from oyster pearls. Both are supposed to facilitate the calcium carbonate formation in vivo. Studies with Perlucin revealed that this protein shows a clear cooperative effect at a very low concentration with a hydrophobic surface promoting the calcium phosphate precipitation resulting in a sponge like structure of hydroxyapatite. The Perlucin molecule is very flexible and is unfolded by adsorbing to the hydrophobic surface and uncovers its active side. Hydrophilic surfaces did not have a deeper impact. Studies with Nacrein as additive have shown that the protein stabilizes octacalcium phosphate at room temperature on carboxylic self-assembled monolayer and at 34 °C on all other employed surfaces by interaction with the mineral. On the hydroxyl-, alkyl-, and amin-terminated self-assembled monolayers at room temperature the octacalcium phosphate get transformed to hydroxyapatite. Main analytical techniques which are used in this work are transmission electron microscopy, high resolution scanning electron microscopy, surface plasmon resonance spectroscopy, atomic force microscopy, Raman micro-spectroscopy and quartz crystal microbalance.

Strukturbildung doppelthydrophiler Blockcopolymere mit mehrwertigen organischen Gegenionen

Sowohl die Komplexierung von Polyelektrolyten mit anorganischen Salzen, als auch die mit entgegengesetzt geladenen Polymeren wurde von vielen Autoren bereits intensiv untersucht. Doch gerade mit Molekülen die zwischen diesen beiden Extremen liegen, sollte es möglich sein, durch elektrostatische Wechselwirkungen gezielt nanometergroße Teilchen definierter Struktur herzustellen. Ziel dieser Arbeit war es deshalb, die Strukturbildung doppelthydrophiler Blockcopolymere mit mehrwertigen organischen Gegenionen zu untersuchen und insbesondere Parameter für die Bildung supramolekularer Strukturen in wässriger Lösung zu finden. Als Blockcopolymer wurde dabei Polyethylenoxid-b-methacrylsäure mittels anionischer Polymerisation hergestellt und mittels Gelpermeationschromatographie (GPC) und Kernresonanzspektroskopie (NMR)charakterisiert. Die Strukturbildung des Polyelektrolyten mit mehrwertigen organischen Gegenionen wurde in pH = 6- und pH = 7-Pufferlösung mit dynamischer und statischer Lichtstreuung, Kleinwinkelneutronenstreuung und Ultrazentrifugation untersucht. Mit Diaminobenzidin als Gegenion wurden dabei sphärische Komplexe mit einem hydrodynamischen Radius um 100 nm erhalten und mit Ultrazentrifugation der Anteil des Gegenions im Komplex quantifiziert. Die schlechte Löslichkeit des Diaminobenzidins in wässrigem Medium erschwerte allerdings die Interpretation der Ergebnisse. Trotzdem deuten diese darauf hin, dass keine Kolloidbildung des Diaminobenzidins, sondern eine Komplexierung der Einzelmoleküle mit dem Copolymer vorliegt. Um Probleme mit der Löslichkeit zu vermeiden, wurden schliesslich Polyamidoamin-Dendrimere als Gegenionen verwendet. Dabei wurde in pH = 6- und pH = 7-Pufferlösung für Dendrimere der Generation 4 mit steigender Gegenionenkonzentration ein kontinuierlicher Anstieg des hydrodynamischen Radius bis zu einer Größe von 70 nm gefunden. Mit Kleinwinkelneutronenstreuung konnte eine ellipsoidale Struktur dieser Komplexe beobachtet werden. Auch die Größe der Gegenionen spielt für die Bildung supramolekularer Aggregate eine Rolle. So zeigte sich, dass für Polyamidoamin-Dendrimere der Generation 2, analog zu denen der Generation 4, ein Anstieg des hydrodynamischen Radius mit steigender Gegenionenkonzentration zu beobachten ist. Für Generation 0-Dendrimere hingegen wurde ein umgekehrter Verlauf beobachtet, welcher dem für Diaminobenzidin gleicht. Somit kann man annehmen, dass die Aggregation mit kleinen Molekülen zu einer anderen Struktur der Komplexe führt, als die mit größeren Molekülen.

Strukturbildungsverhalten kettensteifer Polyelektrolyte in wässrigen Lösungen am Beispiel von Poly(para-phenylen)sulfonat

An einer Vielzahl biogener Polyelektrolyte, wie z.B. den Nukleinsäuren DNA und RNA sowie Proteinen, ist die Ausbildung von Strukturhierarchien durch Selbstorganisation von Strukturelementen zu beobachten. Dabei wird das Strukturbildungsverhalten durch eine Kopplung von Wechselwirkungen auf verschiedenen Längenskalen, den kurzreichweitigen ausgeschlossenen Volumen und den langreichweitigen elektrostatischen Wechselwirkungen (Coulomb-Wechselwirkungen), die wiederum durch eine Vielzahl mikroskopische Parameter (z.B. Konformation) beeinflusst werden, bestimmt. Durch diese Komplexität ist es nicht möglich, den für die Strukturbildung hochgeladener Systeme bedeutsamen Beitrag der elektrostatischen Wechselwirkungen isoliert zu betrachten. Aus diesem Grund werden zur Aufklärung von Wechselwirkungs- und Strukturbildungsmechanismen vereinfachte Modell-Systeme herangezogen. Eine Möglichkeit besteht in der Verwendung synthetischer, kettensteifer Polyelektrolyte. Im Rahmen dieser Arbeit wurde das Aggregationsverhalten wässriger Lösungen dodecylsubstituierter Poly(para-phenylen)sulfonate (PPPS) sowie die Beeinflussung der Strukturbildung durch verschiedene Parameter charakterisiert. Als Einflussparameter wurden einerseits die Gegenion-Spezies und andererseits die Temperatur- und Konzentrations-Abhängigkeit untersucht. Hierzu wurden wässrige Lösungen der freien Säuren der PPPS mit Molekulargewichten zwischen MW = 18 kg/mol bis 58 kg/mol mittels Licht-, Röntgen- und Neutronenstreuung sowie durch Licht-, Polarisations-, Transmissionselektronen- und Rasterkraftmikroskopie in einem Konzentrationsbereich von 0,0008 < c < 1,1 g/L untersucht.

A planar Penning trap

In this thesis I present theoretical and experimental results concern- ing the operation and properties of a new kind of Penning trap, the planar trap. It consists of circular electrodes printed on an isolating surface, with an homogeneous magnetic field pointing perpendicular to that surface. The motivation of such geometry is to be found in the construction of an array of planar traps for quantum informa- tional purposes. The open access to radiation of this geometry, and the long coherence times expected for Penning traps, make the planar trap a good candidate for quantum computation. Several proposals for quantum 2-qubit interactions are studied and estimates for their rates are given. An expression for the electrostatic potential is presented, and its fea- tures exposed. A detailed study of the anharmonicity of the potential is given theoretically and is later demonstrated by experiment and numerical simulations, showing good agreement. Size scalability of this trap has been studied by replacing the original planar trap by a trap twice smaller in the experimental setup. This substitution shows no scale effect apart from those expected for the scaling of the parameters of the trap. A smaller lifetime for trapped electrons is seen for this smaller trap, but is clearly matched to a bigger misalignment of the trap’s surface and the magnetic field, due to its more difficult hand manipulation. I also give a hint that this trap may be of help in studying non-linear dynamics for a sextupolarly perturbed Penning trap.

Existence of solutions and asymtptotic limits of the Euler-Poisson and the quantum drift-diffusion systems

My work concerns two different systems of equations used in the mathematical modeling of semiconductors and plasmas: the Euler-Poisson system and the quantum drift-diffusion system. The first is given by the Euler equations for the conservation of mass and momentum, with a Poisson equation for the electrostatic potential. The second one takes into account the physical effects due to the smallness of the devices (quantum effects). It is a simple extension of the classical drift-diffusion model which consists of two continuity equations for the charge densities, with a Poisson equation for the electrostatic potential. Using an asymptotic expansion method, we study (in the steady-state case for a potential flow) the limit to zero of the three physical parameters which arise in the Euler-Poisson system: the electron mass, the relaxation time and the Debye length. For each limit, we prove the existence and uniqueness of profiles to the asymptotic expansion and some error estimates. For a vanishing electron mass or a vanishing relaxation time, this method gives us a new approach in the convergence of the Euler-Poisson system to the incompressible Euler equations. For a vanishing Debye length (also called quasineutral limit), we obtain a new approach in the existence of solutions when boundary layers can appear (i.e. when no compatibility condition is assumed). Moreover, using an iterative method, and a finite volume scheme or a penalized mixed finite volume scheme, we numerically show the smallness condition on the electron mass needed in the existence of solutions to the system, condition which has already been shown in the literature. In the quantum drift-diffusion model for the transient bipolar case in one-space dimension, we show, by using a time discretization and energy estimates, the existence of solutions (for a general doping profile). We also prove rigorously the quasineutral limit (for a vanishing doping profile). Finally, using a new time discretization and an algorithmic construction of entropies, we prove some regularity properties for the solutions of the equation obtained in the quasineutral limit (for a vanishing pressure). This new regularity permits us to prove the positivity of solutions to this equation for at least times large enough.