535 Licht, Infrarot- und Ultraviolettphänomene
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Verschiedene Konzepte der Röntgenmikroskopie haben sich mittlerweile im Labor etabliert und ermöglichen heute aufschlussreiche Einblicke in eine Vielzahl von Probensystemen. Der „Labormaßstab“ bezieht sich dabei auf Analysemethoden, die in Form von einem eigenständigen Gerät betrieben werden können. Insbesondere sind sie unabhängig von der Strahlerzeugung an einer Synchrotron-Großforschungseinrichtung und einem sonst kilometergroßen Elektronen-speicherring. Viele der technischen Innovationen im Labor sind dabei ein Transfer der am Synchrotron entwickelten Techniken. Andere wiederum basieren auf der konsequenten Weiterentwicklung etablierter Konzepte. Die Auflösung allein ist dabei nicht entscheidend für die spezifische Eignung eines Mikroskopiesystems im Ganzen. Ebenfalls sollte das zur Abbildung eingesetzte Energiespektrum auf das Probensystem abgestimmt sein. Zudem muss eine Tomographieanalage zusätzlich in der Lage sein, die Abbildungsleistung bei 3D-Aufnahmen zu konservieren.
Nach einem Überblick über verschiedene Techniken der Röntgenmikroskopie konzentriert sich die vorliegende Arbeit auf quellbasierte Nano-CT in Projektionsvergrößerung als vielversprechende Technologie zur Materialanalyse. Hier können höhere Photonenenergien als bei konkurrierenden Ansätzen genutzt werden, wie sie von stärker absorbierenden Proben, z. B. mit einem hohen Anteil von Metallen, zur Untersuchung benötigt werden. Das bei einem ansonsten idealen CT-Gerät auflösungs- und leistungsbegrenzende Bauteil ist die verwendete Röntgen-quelle. Durch konstruktive Innovationen sind hier die größten Leistungssprünge zu erwarten. In diesem Zuge wird erörtert, ob die Brillanz ein geeignetes Maß ist, um die Leistungsfähigkeit von Röntgenquellen zu evaluieren, welchen Schwierigkeiten die praktische Messung unterliegt und wie das die Vergleichbarkeit der Werte beeinflusst. Anhand von Monte-Carlo-Simulationen wird gezeigt, wie die Brillanz verschiedener Konstruktionen an Röntgenquellen theoretisch bestimmt und miteinander verglichen werden kann. Dies wird am Beispiel von drei modernen Konzepten von Röntgenquellen demonstriert, welche zur Mikroskopie eingesetzt werden können. Im Weiteren beschäftigt sich diese Arbeit mit den Grenzen der Leistungsfähigkeit von Transmissionsröntgenquellen. Anhand der verzahnten Simulation einer Nanofokus-Röntgenquelle auf Basis von Monte-Carlo und FEM-Methoden wird untersucht, ob etablierte Literatur¬modelle auf die modernen Quell-konstruktionen noch anwendbar sind. Aus den Simulationen wird dann ein neuer Weg abgeleitet, wie die Leistungsgrenzen für Nanofokus-Röntgenquellen bestimmt werden können und welchen Vorteil moderne strukturierte Targets dabei bieten.
Schließlich wird die Konstruktion eines neuen Nano-CT-Gerätes im Labor-maßstab auf Basis der zuvor theoretisch besprochenen Nanofokus-Röntgenquelle und Projektionsvergrößerung gezeigt, sowie auf ihre Leistungsfähigkeit validiert. Es ist spezifisch darauf konzipiert, hochauflösende Messungen an Materialsystemen in 3D zu ermöglichen, welche mit bisherigen Methoden limitiert durch mangelnde Auflösung oder Energie nicht umsetzbar waren. Daher wird die praktische Leistung des Gerätes an realen Proben und Fragestellungen aus der Material¬wissenschaft und Halbleiterprüfung validiert. Speziell die gezeigten Messungen von Fehlern in Mikrochips aus dem Automobilbereich waren in dieser Art zuvor nicht möglich.
Metallic nanostructures possess the ability to support resonances in the visible wavelength regime which are related to localized surface plasmons. These create highly enhanced electric fields in the immediate vicinity of metal surfaces. Nanoparticles with dipolar resonance also radiate efficiently into the far-field and hence serve as antennas for light. Such optical antennas have been explored during the last two decades, however, mainly as standalone units illuminated by external laser beams and more recently as electrically driven point sources, yet merely with basic antenna properties. This work advances the state of the art of locally driven optical antenna systems. As a first instance, the electric driving scheme including inelastic electron tunneling over a nanometer gap is merged with Yagi-Uda theory. The resulting antenna system consists of a suitably wired feed antenna, incorporating a tunnel junction, as well as several nearby parasitic elements whose geometry is optimized using analytical and numerical methods. Experimental evidence of unprecedented directionality of light emission from a nanoantenna is provided. Parallels in the performance between radiofrequency and optical Yagi-Uda arrays are drawn. Secondly, a pair of electrically connected antennas with dissimilar resonances is harnessed as electrodes in an organic light emitting nanodiode prototype. The organic material zinc phthalocyanine, exhibiting asymmetric injection barriers for electrons and holes, in conjunction with the electrode resonances, allows switching and controlling the emitted peak wavelength and directionality as the polarity of the applied voltage is inverted. In a final study, the near-field based transmission-line driving of rod antenna systems is thoroughly explored. Perfect impedance matching, corresponding to zero back-reflection, is achieved when the antenna acts as a generalized coherent perfect absorber at a specific frequency. It thus collects all guided, surface-plasmon mediated input power and transduces it to other nonradiative and radiative dissipation channels. The coherent interplay of losses and interference effects turns out to be of paramount importance for this delicate scenario, which is systematically obtained for various antenna resonances. By means of the here developed semi-analytical toolbox, even more complex nanorod chains, supporting topologically nontrivial localized edge states, are studied. The results presented in this work facilitate the design of complex locally driven antenna systems for optical wireless on-chip communication, subwavelength pixels, and loss-compensated integrated plasmonic nanocircuitry which extends to the realm of topological plasmonics.
Die Fluoreszenzmikroskopie ist eine vielseitig einsetzbare Untersuchungsmethode für biologische Proben, bei der Biomoleküle selektiv mit Fluoreszenzfarbstoffen markiert werden, um sie dann mit sehr gutem Kontrast abzubilden. Dies ist auch mit mehreren verschiedenartigen Zielmolekülen gleichzeitig möglich, wobei üblicherweise verschiedene Farbstoffe eingesetzt werden, die über ihre Spektren unterschieden werden können.
Um die Anzahl gleichzeitig verwendbarer Färbungen zu maximieren, wird in dieser Arbeit zusätzlich zur spektralen Information auch das zeitliche Abklingverhalten der Fluoreszenzfarbstoffe mittels spektral aufgelöster Fluoreszenzlebensdauer-Mikroskopie (spectrally resolved fluorescence lifetime imaging microscopy, sFLIM) vermessen. Dazu wird die Probe in einem Konfokalmikroskop von drei abwechselnd gepulsten Lasern mit Wellenlängen von 485 nm, 532nm und 640nm angeregt. Die Detektion des Fluoreszenzlichtes erfolgt mit einer hohen spektralen Auflösung von 32 Kanälen und gleichzeitig mit sehr hoher zeitlicher Auflösung von einigen Picosekunden. Damit wird zu jedem detektierten Fluoreszenzphoton der Anregungslaser, der spektrale Kanal und die Ankunftszeit registriert. Diese detaillierte multidimensionale Information wird von einem Pattern-Matching-Algorithmus ausgewertet, der das Fluoreszenzsignal mit zuvor erstellten Referenzpattern der einzelnen Farbstoffe vergleicht. Der Algorithmus bestimmt so für jedes Pixel die Beiträge der einzelnen Farbstoffe.
Mit dieser Technik konnten pro Anregungslaser fünf verschiedene Färbungen gleichzeitig dargestellt werden, also theoretisch insgesamt 15 Färbungen. In der Praxis konnten mit allen drei Lasern zusammen insgesamt neun Färbungen abgebildet werden, wobei die Anzahl der Farben vor allem durch die anspruchsvolle Probenvorbereitung limitiert war. In anderen Versuchen konnte die sehr hohe Sensitivität des sFLIM-Systems genutzt werden, um verschiedene Zielmoleküle voneinander zu unterscheiden, obwohl sie alle mit demselben Farbstoff markiert waren. Dies war möglich, weil sich die Fluoreszenzeigenschaften eines Farbstoffmoleküls geringfügig in Abhängigkeit von seiner Umgebung ändern. Weiterhin konnte die sFLIM-Technik mit der hochauflösenden STED-Mikroskopie (STED: stimulated emission depletion) kombiniert werden, um so hochaufgelöste zweifarbige Bilder zu erzeugen, wobei nur ein einziger gemeinsamer STED-Laser benötigt wurde.
Die gleichzeitige Erfassung von mehreren photophysikalischen Messgrößen sowie deren Auswertung durch den Pattern-Matching-Algorithmus ermöglichten somit die Entwicklung von neuen Methoden der Fluoreszenzmikroskopie für Mehrfachfärbungen.
Metallic nano-optical systems allow to confine and guide light at the nanoscale,
a fascinating ability which has motivated a wide range of fundamental as well
as applied research over the last two decades. While optical antennas provide
a link between visible radiation and localized energy, plasmonic waveguides
route light in predefined pathways. So far, however, most experimental demonstrations
are limited to purely optical excitations, i.e. isolated structures are
illuminated by external lasers. Driving such systems electrically and generating
light at the nanoscale, would greatly reduce the device footprint and pave the
road for integrated optical nanocircuitry. Yet, the light emission mechanism as
well as connecting delicate nanostructures to external electrodes pose key challenges
and require sophisticated fabrication techniques. This work presents various
electrically connected nano-optical systems and outlines a comprehensive
production line, thus significantly advancing the state of the art. Importantly,
the electrical connection is not just used to generate light, but also offers new
strategies for device assembly. In a first example, nanoelectrodes are selectively
functionalized with self-assembled monolayers by charging a specific electrode.
This allows to tailor the surface properties of nanoscale objects, introducing an
additional degree of freedom to the development of metal-organic nanodevices.
In addition, the electrical connection enables the bottom-up fabrication of tunnel
junctions by feedback-controlled dielectrophoresis. The resulting tunnel barriers
are then used to generate light in different nano-optical systems via inelastic
electron tunneling. Two structures are discussed in particular: optical Yagi-Uda
antennas and plasmonic waveguides. Their refined geometries, accurately fabricated
via focused ion beam milling of single-crystalline gold platelets, determine
the properties of the emitted light. It is shown experimentally, that Yagi-Uda
antennas radiate light in a specific direction with unprecedented directionality,
while plasmonic waveguides allow to switch between the excitation of two
propagating modes with orthogonal near-field symmetry. The presented devices
nicely demonstrate the potential of electrically connected nano-optical systems,
and the fabrication scheme including dielectrophoresis as well as site-selective
functionalization will inspire more research in the field of nano-optoelectronics.
In this context, different future experiments are discussed, ranging from the
control of molecular machinery to optical antenna communication.
Laser spectroscopic gas sensing has been applied for decades for several applications
as atmospheric monitoring, industrial combustion gas analysis or fundamental research.
The availability of new laser sources in the mid-infrared opens the spectral fingerprint
range to the technology where multiple molecules possess their fundamental ro-vibrational
absorption features that allow very sensitive detection and accurate discrimination of
the species. The increasing maturity of quantum cascade lasers that cover this highly
interesting spectral range motivated this research to gain fundamental knowledge about
the spectra of hydrocarbon gases in pure composition and in complex mixtures as they
occur in the petro-chemical industry. The long-term target of developing accurate and fast
hydrocarbon gas analyzers, capable of real-time operation while enabling feedback-loops,
would lead to a paradigm change in this industry.
This thesis aims to contribute to a higher accuracy and more comprehensive understanding
of the sensing of hydrocarbon gas mixtures. This includes the acquisition of yet
unavailable high resolution and high accuracy reference spectra of the respective gases,
the investigation of their spectral behavior in mixtures due to collisional broadening of
their transitions and the verification of the feasibility to quantitatively discriminate the
spectra when several overlapping species are simultaneously measured in gas mixtures.
To achieve this knowledge a new laboratory environment was planned and built up to
allow for the supply of the individual gases and their arbitrary mixing. The main element
was the development of a broadly tunable external-cavity quantum cascade laser based
spectrometer to record the required spectra. This also included the development of a new
measurement method to obtain highly resolved and nearly gap-less spectral coverage as
well as a sophisticated signal post-processing that was crucial to achieve the high accuracy
of the measurements. The spectroscopic setup was used for a thorough investigation of
the spectra of the first seven alkanes as of their mixtures. Measurements were realized
that achieved a spectral resolution of 0.001 cm-1 in the range of 6-11 µm while ensuring an
accuracy of 0.001 cm-1 of the spectra and attaining a transmission sensitivity of 2.5 x 10-4
for long-time averaging of the acquired spectra.
These spectral measurements accomplish a quality that compares to state-of-the art
spectral databases and revealed so far undocumented details of several of the investigated
gases that have not been measured with this high resolution before at the chosen measurement
conditions. The results demonstrate the first laser spectroscopic discrimination of a
seven component gas mixture with absolute accuracies below 0.5 vol.% in the mid-infrared
provided that a sufficiently broad spectral range is covered in the measurements. Remaining
challenges for obtaining improved spectral models of the gases and limitations of the
measurement accuracy and technology are discussed.
Stationäre Gasturbinen können von großer Bedeutung für die Verlangsamung des Klima-wandels und bei der Bewältigung der Energiewende sein. Für die Weiterentwicklung von Gasturbinen zu höheren Betriebstemperaturen und damit einhergehend zu höheren Wirkungs-graden werden berührungslose Messverfahren zur Ermittlung der Oberflächentemperatur von Turbinenschaufeln und der Gastemperatur der heißen Verbrennungsgase während des Be-triebs benötigt. Im Rahmen dieser Arbeit werden daher Methoden der berührungslosen Tem-peraturmessung unter Verwendung von Infrarotstrahlung untersucht.
Die berührungslose Messung der Oberflächentemperatur moderner Turbinenschaufeln muss aufgrund derer infrarot-optischer Oberflächeneigenschaften im Wellenlängenbereich des mitt-leren Infrarots durchgeführt werden, in welchem die Turbinenbrenngase starke Absorptions-banden aufweisen. Zur Entwicklung eines adäquaten Strahlungsthermometers für diesen Zweck wurden im Rahmen dieser Arbeit daher durch Ermittlung von Transmissionsspektren von Kohlenstoffdioxid und Wasserdampf bei hohen Temperaturen und Drücken in einer ei-gens hierfür konstruierten Heißgas-Messzelle zunächst Wellenlängenbereiche identifiziert, in welchen die geplanten Messungen möglich sind. Anschließend wurde der Prototyp eines ent-sprechend konfigurierten Strahlungsthermometers im Zuge des Testlaufes einer vollskaligen Gasturbine erfolgreich erprobt.
Weiterhin wurden im Rahmen dieser Arbeit zwei mögliche Verfahren zur berührungslosen Gastemperaturmessung untersucht. Das erste untersuchte Verfahren setzt ebenfalls auf Strah-lungsthermometrie. Dieses Verfahren sieht vor, aufgrund der Temperaturabhängigkeit des spektralen Transmissionsgrades in den Randbereichen von gesättigten Absorptionsbanden von Gasen aus der in diesen Bereichen transmittierten spektralen Strahldichte auf die Gastempera-tur zu schließen. Im Rahmen dieser Arbeit wurden Voruntersuchungen für dieses Tempera-turmessverfahren durchgeführt. So konnten auf der Grundlage von experimentell ermittelten Transmissionsspektren von Kohlenstoffdioxid bei Drücken zwischen 5 kPa und 600 kPa und Gastemperaturen zwischen Raumtemperatur und 1073 K für das geplante Verfahren nutzbare Wellenlängenintervalle insbesondere im Bereich der Kohlenstoffdioxid-Bande bei 4,26 µm identifiziert werden.
Das zweite im Rahmen dieser Arbeit untersuchte Verfahren zur berührungslosen Gastem-peraturmessung basiert auf der Temperaturabhängigkeit der Wellenlängenposition der Trans-missionsminima der Absorptionsbanden von infrarot-aktiven Gasen. Im Hinblick darauf wur-de dieses Phänomen anhand von experimentell bestimmten hochaufgelösten Transmissions-spektren von Kohlenstoffdioxid überprüft. Weiterhin wurden mögliche Wellenlängenbereiche identifiziert und hinsichtlich ihrer Eignung für das geplante Verfahren charakterisiert. Als am vielversprechendsten erwiesen sich hierbei Teilbanden in den Bereichen um 2,7 µm und um 9,2 µm. Unter Beimischung von Stickstoff mit Partialdrücken von bis zu 390 kPa erwies sich zudem auch die Bande bei 4,26 µm als geeignet.
Die im Rahmen dieser Arbeit experimentell ermittelten Transmissionsspektren konnten dar-über hinaus schließlich durch Vergleich mit entsprechenden HITRAN-Simulationen verifiziert werden.
Monolayers of transition metal dichalcogenide materials emerged as a new material class to study excitonic effects in solid state, as they benefit from enormous Coulomb correlations between electrons and holes. Especially in WSe\(_{2}\), sharp emission features have been observed at cryogenic temperatures, which act as single photon sources. Tight exciton localization has been assumed to induce an anharmonic excitation spectrum; however, the evidence of the hypothesis, namely the demonstration of a localized biexciton, is elusive. Here we unambiguously demonstrate the existence of a localized biexciton in a monolayer of WSe\(_{2}\), which triggers an emission cascade of single photons. The biexciton is identified by its time-resolved photoluminescence, superlinearity and distinct polarization in micro-photoluminescence experiments. We evidence the cascaded nature of the emission process in a cross-correlation experiment, which yields a strong bunching behaviour. Our work paves the way to a new generation of quantum optics experiments with two-dimensional semiconductors.
Nanoelectronics is an essential technology for down-scaling beyond the limit of silicon-based electronics. Single-Wall Carbon Nanotubes (SWNT) are semiconducting components that exhibit a large variety of properties that make them usable for sensing, telecommunication, or computational tasks. Due to their high surface to volume ratio, carbon nanotubes are strongly affected by molecular adsorptions, and almost all properties depend on surface adsorption. SWNT with smaller diameters (0.7-0.9nm) show a stronger sensitivity to surface effects. An optimized synthesis route was developed to produce these nanotubes directly. They were produced with a clean surface, high quality, and large lengths of 2 μ m. The results complement previous studies on larger diameters (0.9-1.4nm). They allow performing statistically significant assumptions for a perfect nanotube, which is selected from a subset of nanotubes with good emission intensity, and high mechanical durability. The adsorption of molecules on the surface of carbon nanotubes influences the motion and binding strength of chargeseparated states in this system. To gain insight into the adsorption processes on the surface with a minimum of concurrent overlapping effects, a microscopic setup, and a measurement technique were developed. The system was estimated to exhibit excellent properties like long exciton diffusion lengths (>350nm), and big exciton sizes (8.5(5)nm), which was substantiated by a simulation. We studied the adsorption processes at the surface of Single-Wall Carbon Nanotubes for molecules in the gas phase, solvent molecules, and surfactant molecules. The experiments were all carried out on suspended individualized carbon nanotubes on a silicon wafer substrate. The experiments in the gas-phase showed that the excitonic emission energy and intensity experiences a rapid blue shift during observation. This shift was associated with the spontaneous desorption of large clusters of gaseous molecules caused by laser heat up. The measurement of this desorption was essential for creating a reference to an initially clean surface and allows us to perform a comparison with previous measurements on this topic. Furthermore, the adsorption of hydrogen on the nanotube surface at high temperatures was investigated. It was found that a new emission mode arises slightly red-shifted to the excitonic emission in these systems. The new signal is almost equally strong as the main excitonic peak and was associated with the brightening of dark excitons at sp3-defects through a K-phonon assisted pathway. The finding is useful for the direct synthesis of spintronic devices as these systems are known to act as single-photon emitters. The suspended nanotubes were further studied to estimate the effect of solvent adsorption on the excitonic states during nanotube dispersion for each nanotube individually. A significant quantum yield loss is observable for hexane and acetonitrile, while the emission intensity was found to be the strongest in toluene. The reference to a clean surface allowed us to estimate the exact influence of the dielectric environment of adsorbing solvents on the excitonic emission energy. Solvent adsorption was found to lead to an energy shift that is almost twice as high as suggested in previous studies. The amount of this energy shift, however, was comparably similar for all solvents, which suggests that the influence of the distinct dielectric constant in the outer environment less significantly influences the energy shift than previously thought. An interesting phenomenon was found when using acetonitrile as a solvent, which leads to greatly enhanced emission properties. The emission is more than twice as high as in the same air-suspended nanotubes, which suggests a process that depends on the laser intensity. In this study, it was reasonably explained how an energy down-conversion is possible through the coupling of the excitonic states with solvent vibrations. The strength of this coupling, however, also suggests adsorptions to the inside of the tubular nanotube structure leading to a coupled vibration of linear acetonitrile molecules that are adsorbed to the inner surface. The findings are important for the field of nanofluidics and provide an excellent system for efficient energy down-conversion in the transmission window of biological tissue. Having separated the pure effect of solvent adsorption allowed us to study the undisturbed molecular adsorption of polymers in these systems. The addition of polyfluorene polymer leads to a slow but stepwise intensity increase. The intensity increase is overlapping with a concurrent process that leads to an intensity decrease. Unfortunately, observing the stepwise process has a low spacial resolution of only 100-250nm, which is in the range of the exciton diffusion length in these systems and hinders detailed analysis. The two competing and overlapping processes processes are considered to originate from slow π-stacking and fast side-chain binding. Insights into this process are essential for selecting suitably formed polymers. However, the findings also emphasize the importance of solvent selection during nanotube dispersion since solvent effects were proven to be far more critical on the quantum yield in these systems. These measurements can shed light on the ongoing debate on polymers adsorption during nanotube individualization and allow us to direct the discussion more towards the selection of suitable solvents. This work provides fundamental insights into the adsorption of various molecules on the surface of individually observed suspended Single-Wall Carbon Nanotubes. It allows observing the adsorption of individual molecules below the optical limit in the solid, liquid, and gas phases. Nanotubes are able to act as sensing material for detecting changes in their direct surrounding. These fundamental findings are also crucial for increasing the quantum yield of solvent-dispersed nanotubes. They can provide better light-harvesting systems for microscopy in biological tissue and set the base for a more efficient telecommunication infrastructure with nano-scale spintronics devices and lasing components. The newly discovered solvent alignment in the nanotube surrounding can potentially also be used for supercapacitors that are needed for caching the calculation results in computational devices that use polymer wrapped nanotubes as transistors. Although fundamental, these studies develop a strategy to enlighten this room that is barely only visible at the bottom of the nano-scale.
Killing the cMSSM softly
(2016)
We investigate the constrained Minimal Supersymmetric Standard Model (cMSSM) in the light of constraining experimental and observational data from precision measurements, astrophysics, direct supersymmetry searches at the LHC and measurements of the properties of the Higgs boson, by means of a global fit using the program Fittino. As in previous studies, we find rather poor agreement of the best fit point with the global data. We also investigate the stability of the electro-weak vacuum in the preferred region of parameter space around the best fit point. We find that the vacuum is metastable, with a lifetime significantly longer than the age of the Universe. For the first time in a global fit of supersymmetry, we employ a consistent methodology to evaluate the goodness-of-fit of the cMSSM in a frequentist approach by deriving p values from large sets of toy experiments. We analyse analytically and quantitatively the impact of the choice of the observable set on the p value, and in particular its dilution when confronting the model with a large number of barely constraining measurements. Finally, for the preferred sets of observables, we obtain p values for the cMSSM below 10 %, i.e. we exclude the cMSSM as a model at the 90 % confidence level.
Since its first experimental implementation in 2005, single-molecule localization microscopy (SMLM) emerged as a versatile and powerful imaging tool for biological structures with nanometer resolution. By now, SMLM has compiled an extensive track-record of novel insights in sub- and inter- cellular organization.\\
Moreover, since all SMLM techniques rely on the analysis of emission patterns from isolated fluorophores, they inherently allocate molecular information $per$ $definitionem$.\\
Consequently, SMLM transitioned from its origin as pure high-resolution imaging instrument towards quantitative microscopy, where the key information medium is no longer the highly resolved image itself, but the raw localization data set.\\
The work presented in this thesis is part of the ongoing effort to translate those $per$ $se$ molecular information gained by SMLM imaging to insights into the structural organization of the targeted protein or even beyond. Although largely consistent in their objectives, the general distinction between global or segmentation clustering approaches on one side and particle averaging or meta-analyses techniques on the other is usually made.\\
During the course of my thesis, I designed, implemented and employed numerous quantitative approaches with varying degrees of complexity and fields of application.\\ \\
In my first major project, I analyzed the localization distribution of the integral protein gp210 of the nuclear pore complex (NPC) with an iterative \textit{k}-means algorithm. Relating the distinct localization statistics of separated gp210 domains to isolated fluorescent signals led, among others, to the conclusion that the anchoring ring of the NPC consists of 8 homo-dimers of gp210.\\
This is of particular significance, both because it answered a decades long standing question about the nature of the gp210 ring and it showcased the possibility to gain structural information well beyond the resolution capabilities of SMLM by crafty quantification approaches.\\ \\
The second major project reported comprises an extensive study of the synaptonemal complex (SNC) and linked cohesin complexes. Here, I employed a multi-level meta-analysis of the localization sets of various SNC proteins to facilitate the compilation of a novel model of the molecular organization of the major SNC components with so far unmatched extend and detail with isotropic three-dimensional resolution.\\
In a second venture, the two murine cohesin components SMC3 and STAG3 connected to the SNC were analyzed. Applying an adapted algorithm, considering the disperse nature of cohesins, led to the realization that there is an apparent polarization of those cohesin complexes in the SNC, as well as a possible sub-structure of STAG3 beyond the resolution capabilities of SMLM.\\ \\
Other minor projects connected to localization quantification included the study of plasma membrane glycans regarding their overall localization distribution and particular homogeneity as well as the investigation of two flotillin proteins in the membrane of bacteria, forming clusters of distinct shapes and sizes.\\ \\
Finally, a novel approach to three-dimensional SMLM is presented, employing the precise quantification of single molecule emitter intensities. This method, named TRABI, relies on the principles of aperture photometry which were improved for SMLM.\\
With TRABI it was shown, that widely used Gaussian fitting based localization software underestimates photon counts significantly. This mismatch was utilized as a $z$-dependent parameter, enabling the conversion of 2D SMLM data to a virtual 3D space. Furthermore it was demonstrated, that TRABI can be combined beneficially with a multi-plane detection scheme, resulting in superior performance regarding axial localization precision and resolution.\\
Additionally, TRABI has been subsequently employed to photometrically characterize a novel dye for SMLM, revealing superior photo-physical properties at the single-molecule level.\\
Following the conclusion of this thesis, the TRABI method and its applications remains subject of diverse ongoing research.