Total internal reflection fluorescence cross-correlation spectroscopy: theory and application for studying boundary slip phenomenon

I present a new experimental method called Total Internal Reflection Fluorescence Cross-Correlation Spectroscopy (TIR-FCCS). It is a method that can probe hydrodynamic flows near solid surfaces, on length scales of tens of nanometres. Fluorescent tracers flowing with the liquid are excited by evanescent light, produced by epi-illumination through the periphery of a high NA oil-immersion objective. Due to the fast decay of the evanescent wave, fluorescence only occurs for tracers in the ~100 nm proximity of the surface, thus resulting in very high normal resolution. The time-resolved fluorescence intensity signals from two laterally shifted (in flow direction) observation volumes, created by two confocal pinholes are independently measured and recorded. The cross-correlation of these signals provides important information for the tracers’ motion and thus their flow velocity. Due to the high sensitivity of the method, fluorescent species with different size, down to single dye molecules can be used as tracers. The aim of my work was to build an experimental setup for TIR-FCCS and use it to experimentally measure the shear rate and slip length of water flowing on hydrophilic and hydrophobic surfaces. However, in order to extract these parameters from the measured correlation curves a quantitative data analysis is needed. This is not straightforward task due to the complexity of the problem, which makes the derivation of analytical expressions for the correlation functions needed to fit the experimental data, impossible. Therefore in order to process and interpret the experimental results I also describe a new numerical method of data analysis of the acquired auto- and cross-correlation curves – Brownian Dynamics techniques are used to produce simulated auto- and cross-correlation functions and to fit the corresponding experimental data. I show how to combine detailed and fairly realistic theoretical modelling of the phenomena with accurate measurements of the correlation functions, in order to establish a fully quantitative method to retrieve the flow properties from the experiments. An importance-sampling Monte Carlo procedure is employed in order to fit the experiments. This provides the optimum parameter values together with their statistical error bars. The approach is well suited for both modern desktop PC machines and massively parallel computers. The latter allows making the data analysis within short computing times. I applied this method to study flow of aqueous electrolyte solution near smooth hydrophilic and hydrophobic surfaces. Generally on hydrophilic surface slip is not expected, while on hydrophobic surface some slippage may exists. Our results show that on both hydrophilic and moderately hydrophobic (contact angle ~85°) surfaces the slip length is ~10-15nm or lower, and within the limitations of the experiments and the model, indistinguishable from zero.

Fluorescence close to dielectric interfaces

The aim of the work was to study the correlation between the orientation and excited-state lifetimes of organic dyes close to dielectric interfaces. For this purpose, an experimental setup was designed and built, guiding the light through a prism in total internal reflection geometry. Fluorescence intensities and lifetimes for an ensemble of dye molecules were analyzed as a function of the excitation and detection polarizations. Working close to the total internal reflection angle, the differences between polarization combinations were enhanced. A classical electromagnetic model that assumes a chromophore as a couple of point-like electrical dipoles was developed. A numerical method to calculate the excitation and emission of dye molecules embedded in a multilayer system was implemented, by which full simulation of the time resolved fluorescence experiments was achieved. Free organic dyes and organic dyes covalently bound to polyelectrolyte chains were used. The polymer functionalization process avoided aggregation and provided control over the dyes position, within a few nanometers to the interface. Moreover, by varying the pH, the polymer chains could be deposited on different substrates with different conformations and the resulting fluorescence characteristics analyzed. Initially the fluorescence of organic dyes embedded in a polymer matrix was studied as a function of the distance between the fluorophores and the polymer-air interface. The non-radiative decay rate, vacuum decay rate and the relative angle between the excitation and emission dipoles of the chromophores could be determined. Different free organic dyes were deposited onto different dielectric spacers, as close as possible to the air-dielectric interface. Surprisingly, the fluorescence characteristics of dyes deposited onto polyelectrolyte layer were in good agreement with theoretical predictions of dyes in a polymer matrix, even when the layer was only 2 nm thick. When functionalized chains were deposited at low pH, on top of a polyelectrolyte spacer, the fluorescence had the characteristics of emitters embedded in a polymer matrix as well. Surface deposition at high pH showed an intermediate behaviour between emitters embedded in polymer and on top of the surface, in air. In general, for low pH values, the chains are deposited on a substrate in a train-like conformation. For high pH values, the chains are deposited in a loop-like conformation. As a consequence at low pH the functionalized polymer strongly interdigitates with the polyelectrolyte chains of the spacer, bringing most of the dyes inside the polymer. Thus, the fluorophores may experience the polymer as surrounding environment. On the other hand, for high pH values the dye-loaded chains adsorbed have a conformational arrangement of dense loops that extend away from the surface. Therefore many fluorophores experience the air as surrounding environment. Changing the spacer from polyelectrolyte to negatively charged silane produced contradictory results for lifetimes and intensities. The fluorescence intensities indicated the behaviour of emitters embedded in a polymer matrix, regardless of the pH value. On the other hand, for low pH values, the excited-state lifetimes showed that the emitters behaved as in air. For higher pH values, an intermediate behaviour between fluorophores located within and above of a dielectric film was observed. The poor agreement between theoretical and experimental data may be due to the simplified model utilized, by which the dipoles are assumed either in one side or in the other with respect to a geometrical air-dielectric interface. In the case when the dielectric film is constituted by the functionalized polymer chains themselves, reality is more complex and a different model may apply. Nevertheless, possible applications of the technique arise from a qualitative analysis.

Einzelmolekül-Untersuchungen zu Faltung und Zusammenbau des Lichtsammelkomplexes LHCII

Zusammenfassungrn Der Faltungsprozess des Hauptlichtsammelkomplexes des Photosystems II aus höheren Pflanzen (light harvesting complex II, LHCII) wurde bereits mehrfach untersucht, die Experimente hierzu fanden stets im Ensemble statt. Anhand der bislang veröffentlichten Faltungskinetiken des LHCII aus höheren Pflanzen lassen sich aber keine eindeutigen Aussagen bezüglich der Diversität der Faltungswege treffen. Daher sollten im Rahmen dieser Arbeit Faltungskinetiken einzelner LHCII-Moleküle während der Komplexbildung aufgenommen werden, um weitergehende Informationen zum Faltungsmechanismus zu erhalten und zur Frage, ob hier mehrere unterschiedliche Wege eingeschlagen werden.rnHierfür war zunächst die Etablierung einer Oberflächenimmobilisierung mit Glas als Trägermaterial notwendig. Nachdem Versuche, diese Immobilisierung über einen His6-tag oder über einen heterobifunktionellen Linker zu bewerkstelligen, nicht zum Erfolg geführt haben, konnte eine Immobilisierung des Biotin-markierten Proteins an Oberflächen-gebundenes Avidin erreicht werden. Die Qualität dieser Immobilisierung wurde hierbei sowohl über Bindungsversuche mit fluoreszenzfarbstoffmarkiertem Protein als auch über eine direkte Kontrolle der Oberflächenbeschaffenheit mittels Rasterkraftmikroskopie überprüft. Die für die folgenden Versuche optimale Belegungsdichte wurde im konfokalen Fluoreszenzmikroskop ermittelt. Zudem wurde sichergestellt, dass die Proteine vereinzelt auf der Oberfläche immobilisiert vorliegen.rnAuf dieser Basis wurden LHCII-Komplexe, die zuvor in vitro rekonstituiert wurden, immobilisiert und Versuche zur kontrollierten Denaturierung unternommen, um Zerfalls-kinetiken im Verfahren der internen Totalreflexionsfluoreszenzmikroskopie (total internal reflection fluorescence, TIRF) aufnehmen zu können. Hierbei traten Schwierigkeiten bezüglich der Lebensdauer der Komplexe unter Laser-Belichtung auf, da sich die Löschung der Fluoreszenz durch Zerstrahlung der Pigmente einerseits oder Dissoziation der LHCII andererseits nicht unterscheiden ließen. Auch durch verschiedene Maßnahmen zur Erhöhung der Lebensdauer konnte diese nicht in dem Maße gesteigert werden, wie es experimentell notwendig gewesen wäre.rnFür das eigentliche Hauptziel dieser Arbeit – die Aufzeichnung von Einzelmolekül-Faltungskinetiken – war die Entwicklung einer Methode zur Rekonstitution oberflächen-immobilisierter LHCII-Apoproteine notwendig. Dieses Ziel wurde mithilfe einer Detergenzmisch-Rekonstitution erreicht. Der Erfolg der Rekonstitution konnte experimentell sowohl im Fluorimeter anhand des komplexinternen Energietransfers auf einen kovalent an das Protein gebundenen Infrarot-Fluorophor als auch im TIRF-Verfahren direkt beobachtet werden. Auch hier konnte nach ca. 80 Sekunden ein Ausbleichen der Komplexe während der Belichtung durch den Anregungs-Laser beobachtet werden.rnIn Versuchen zur Beobachtung des Komplexbildungsvorganges zeigte sich, dass die Rekonstitution offenbar durch die Belichtung massiv gestört wird. Ein weiteres Problem war eine sehr starke Hintergrundfluoreszenz, ausgelöst durch die zur Rekonstitution notwendige Pigmentlösung, die trotz der TIRF-Anregung von ausschließlich oberflächengebundenem Material die Fluoreszenz der Komplexe überlagerte. Somit konnte die Rekonstitution oberflächenimmobilisierter LHCII-Proteine zwar in Vorher-Nachher-Aufnahmen gezeigt werden, der Faltungsprozess an sich konnte dagegen im Rahmen dieser Arbeit nicht aufgezeichnet werden.

Bottle microresonators for applications in quantum optics and all-optical signal processing

This thesis reports on the experimental realization, characterization and application of a novel microresonator design. The so-called “bottle microresonator” sustains whispering-gallery modes in which light fields are confined near the surface of the micron-sized silica structure by continuous total internal reflection. While whispering-gallery mode resonators in general exhibit outstanding properties in terms of both temporal and spatial confinement of light fields, their monolithic design makes tuning of their resonance frequency difficult. This impedes their use, e.g., in cavity quantum electrodynamics (CQED) experiments, which investigate the interaction of single quantum mechanical emitters of predetermined resonance frequency with a cavity mode. In contrast, the highly prolate shape of the bottle microresonators gives rise to a customizable mode structure, enabling full tunability. The thesis is organized as follows: In chapter I, I give a brief overview of different types of optical microresonators. Important quantities, such as the quality factor Q and the mode volume V, which characterize the temporal and spatial confinement of the light field are introduced. In chapter II, a wave equation calculation of the modes of a bottle microresonator is presented. The intensity distribution of different bottle modes is derived and their mode volume is calculated. A brief description of light propagation in ultra-thin optical fibers, which are used to couple light into and out of bottle modes, is given as well. The chapter concludes with a presentation of the fabrication techniques of both structures. Chapter III presents experimental results on highly efficient, nearly lossless coupling of light into bottle modes as well as their spatial and spectral characterization. Ultra-high intrinsic quality factors exceeding 360 million as well as full tunability are demonstrated. In chapter IV, the bottle microresonator in add-drop configuration, i.e., with two ultra-thin fibers coupled to one bottle mode, is discussed. The highly efficient, nearly lossless coupling characteristics of each fiber combined with the resonator's high intrinsic quality factor, enable resonant power transfers between both fibers with efficiencies exceeding 90%. Moreover, the favorable ratio of absorption and the nonlinear refractive index of silica yields optical Kerr bistability at record low powers on the order of 50 µW. Combined with the add-drop configuration, this allows one to route optical signals between the outputs of both ultra-thin fibers, simply by varying the input power, thereby enabling applications in all-optical signal processing. Finally, in chapter V, I discuss the potential of the bottle microresonator for CQED experiments with single atoms. Its Q/V-ratio, which determines the ratio of the atom-cavity coupling rate to the dissipative rates of the subsystems, aligns with the values obtained for state-of-the-art CQED microresonators. In combination with its full tunability and the possibility of highly efficient light transfer to and from the bottle mode, this makes the bottle microresonator a unique tool for quantum optics applications.

Messung dynamischer Prozesse in der Nähe von Grenzflächen mit Hilfe neu entwickelter Lichtstreumethoden

Die vorliegende Arbeit behandelt die Entwicklung und Erprobung zweier neuer dynamischer Lichtstreumethoden: Die Resonanz verstärkte Lichtstreuung (REDLS: resonance enhanced dynamic light scattering) und die Wellenleiter verstärkte Lichtstreuung (WEDLS: waveguide enhanced dynamic light scattering). Beide Methoden verwenden eine Kombination aus evaneszenten Wellen und dynamischer Lichtstreuung: Bei der REDLS-Technik wird das evaneszentes Feld eines Oberflächenplasmons verwendet, bei der WEDLS-Technik handelt es sich um das evaneszente Feld von Metallfilm verstärkten Leckwellenleitermoden. Die neuen Methoden liefern Informationen über die Dynamik an Grenzflächen über ein breites Zeitfenster (einige Nanosekunden bis hin zu mehreren Sekunden) mit einer räumlichen Auflösung im sub-Mikrometerbereich. Sie erweitern somit das Gebiet der dynamischen Lichtstreuung in evaneszenter Geometrie, bei dem bislang nur die evanescent wave dynamic light scattering (EWDLS) - Technik zur Verfügung stand. Bei der EWDLS-Technik wird das evaneszente Feld der Totalreflexion als kohärenter Lichtstrahl für die dynamische Lichtstreuung verwendet. Ein Vergleich mit der EWDLS-Technik zeigt ein stark erhöhtes Signal/Rausch-Verhältnis bei den neu entwickelten Techniken aufgrund der resonanten Anregung. Zusätzlich ist es sowohl bei der REDLS- als auch bei der WEDLS-Technik möglich Grenzflächenmodifikationen und damit z.B. Adsorptionsprozesse zu detektieren. Der Einfluss einer Grenzfläche auf die Diffusion von PS-Latex-Partikeln wurde untersucht. Die Grenzfläche bestand im Fall der REDLS-Technik aus Gold, bei der WEDLS-Technik aus PMMA. Die Funktionsweise und die Gültigkeit der neu entwickelten Techniken wurde mit Hilfe von PS-Latex-Partikeln mit hydrodynamischen Radien von R =11nm bis hin zu R=204nm demonstriert.

Numerical studies of colloidal systems

The interplay of hydrodynamic and electrostatic forces is of great importance for the understanding of colloidal dispersions. Theoretical descriptions are often based on the so called standard electrokinetic model. This Mean Field approach combines the Stokes equation for the hydrodynamic flow field, the Poisson equation for electrostatics and a continuity equation describing the evolution of the ion concentration fields. In the first part of this thesis a new lattice method is presented in order to efficiently solve the set of non-linear equations for a charge-stabilized colloidal dispersion in the presence of an external electric field. Within this framework, the research is mainly focused on the calculation of the electrophoretic mobility. Since this transport coefficient is independent of the electric field only for small driving, the algorithm is based upon a linearization of the governing equations. The zeroth order is the well known Poisson-Boltzmann theory and the first order is a coupled set of linear equations. Furthermore, this set of equations is divided into several subproblems. A specialized solver for each subproblem is developed, and various tests and applications are discussed for every particular method. Finally, all solvers are combined in an iterative procedure and applied to several interesting questions, for example, the effect of the screening mechanism on the electrophoretic mobility or the charge dependence of the field-induced dipole moment and ion clouds surrounding a weakly charged sphere. In the second part a quantitative data analysis method is developed for a new experimental approach, known as "Total Internal Reflection Fluorescence Cross-Correlation Spectroscopy" (TIR-FCCS). The TIR-FCCS setup is an optical method using fluorescent colloidal particles to analyze the flow field close to a solid-fluid interface. The interpretation of the experimental results requires a theoretical model, which is usually the solution of a convection-diffusion equation. Since an analytic solution is not available due to the form of the flow field and the boundary conditions, an alternative numerical approach is presented. It is based on stochastic methods, i. e. a combination of a Brownian Dynamics algorithm and Monte Carlo techniques. Finally, experimental measurements for a hydrophilic surface are analyzed using this new numerical approach.