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Time-resolved optical spectroscopy has become an important tool to investigate the dynamics of quantum mechanical processes in matter. In typical applications, a first “pump” pulse excites the system under investigation from the thermal equilibrium to an excited state, and a second variable time-delayed “probe” pulse then maps the dynamics of the excited system. Although advanced nonlinear techniques have been developed to investigate, e.g., coherent quantum effects, all of these techniques are limited in their spatial resolution. The laser focus diameter has a lower bound given by Abbe’s diffraction limit, which is roughly half the optical excitation wavelength—corresponding to about 400nm in the presented experiments. In the time-resolved experiments that have been suggested so far, averaging over the sample volume within this focus cannot be avoided. In this thesis, two approaches were developed to overcome the diffraction limit in optical spectroscopy and to enable the investigation of coherent processes on the nanoscale. In the first approach, analytic solutions were found to calculate optimal polarizationshaped laser pulses that provide optical near-field pump–probe pulse sequences in the vicinity of a nanostructure. These near-field pulse sequences were designed to allow excitation of a quantum system at one specific position at a certain time and probing at a different position at a later time. In the second approach, the concept of coherent two-dimensional (2D) spectroscopy, which has had great impact on the investigation of coherent quantum effects in recent years, was combined with photoemission electron microscopy, which yields a spatial resolution well below the optical diffraction limit. Using the analytic solutions, optical near fields were investigated in terms of spectroscopic applications. Near fields that are excited with polarization-shaped femtosecond laser pulses in the vicinity of appropriate nanostructures feature two properties that are especially interesting in the view of spectroscopic applications: On the one hand, control of the spatial distribution of the optical fields is achieved on the order of nanometers. On the other hand, the temporal evolution of these fields can be adjusted on the order of femtoseconds. In this thesis, solutions were found to calculate the optimal polarizationshaped laser pulses that control the near field in a general manner. The main idea to achieve this deterministic control was to disentangle the spatial and temporal near-field control. First, the spatial distribution of the optical near field was controlled by assigning the correct state of polarization for each frequency within the polarization-shaped laser pulse independently. The remaining total phase—not employed for spatial control—was then used for temporal near-field compression, which, in experimental applications, would lead to an enhancement of the nonlinear signal at the respective location. In contrast to the use of optical near fields, where pump–probe sequences themselves are localized below the diffraction limit and the detection does not have to provide the spatial resolution, a different approach was suggested in this thesis to gain spectroscopic information on the nanoscale. The new method was termed “Coherent two-dimensional (2D) nanoscopy” and transfers the concept of “conventional” coherent 2D spectroscopy to photoemission electron microscopy. The pulse sequences used for the investigation of quantum systems in this method are still limited by diffraction. However, the new key concept is to detect locally generated photoelectrons instead of optical signals. This yields a spatial resolution that is well below the optical diffraction limit. In “conventional” 2D spectroscopy a triple-pulse sequence initiates a four wave mixing process that creates a coherence. In a quantum mechanical process, this coherence is converted into a population by emission of an electric field, which is measured in the experiment. Contrarily, in the developed 2D nanoscopy, four-wave mixing is initiated by a quadruple-pulse sequence, which leaves the quantum system in an electronic population. This electronic population carries coherent information about the investigated quantum system and can be mapped with a spatial resolution down to a few nanometers given by the spatial resolution of the photoemission electron microscope. Hence, 2D nanoscopy can be considered a generalization of time-resolved photoemission experiments. In the future, it may be of similar beneficial value for the field of photoemission research as “conventional” 2D spectroscopy has proven to be for optical spectroscopy and nuclear magnetic resonance experiments. In a first experimental implementation of coherent 2D nanoscopy coherent processes on a corrugated silver surface were measured and unexpected long coherence lifetimes could be determined.
This work brings forward successful implementations of ultrafast chirality-sensitive spectroscopic techniques by probing circular dichroism (CD) or optical rotation dispersion (ORD). Furthermore, also first steps towards chiral quantum control, i.e., the selective variation of the chiral properties of molecules with the help of coherent light, are presented.
In the case of CD probing, a setup capable of mirroring an arbitrary polarization state of an ultrashort laser pulse was developed. Hence, by passing a left-circularly polarized laser pulse through this setup a right-circularly polarized laser pulse is generated. These two pulse enantiomers can be utilized as probe pulses in a pump--probe CD experiment. Besides CD spectroscopy, it can be utilized for anisotropy or ellipsometry spectroscopy also. Within this thesis, the approach is used to elucidate the photochemistry of hemoglobin, the oxygen transporting protein in mammalian blood. The oxygen loss can be triggered with laser pulses as well, and the results of the time-resolved CD experiment suggest a cascade-like relaxation, probably through different spin states, of the metallo-porphyrins in hemoglobin.
The ORD probing was realized via the combination of common-path optical heterodyne interferometric polarimetry and accumulative femtosecond spectroscopy. Within this setup, on the one hand the applicability of this approach for ultrafast studies was demonstrated explicitly. On the other hand, the discrimination between an achiral and a racemic solution without prior spatial separation was realized. This was achieved by inducing an enantiomeric excess via polarized femtosecond laser pulses and following its evolution with the developed polarimeter. Hence, chiral selectivity was already achieved with this method which can be turned into chiral control if the polarized laser pulses are optimized to steer an enhancement of the enantiomeric excess.
Furthermore, within this thesis, theoretical prerequisites for anisotropy-free pump--probe experiments with arbitrary polarized laser pulses were derived. Due to the small magnitude of optical chirality-sensitve signals, these results are important for any pump--probe chiral spectroscopy, like the CD probing presented in this thesis. Moreover, since for chiral quantum control the variation of the molecular structure is necessary, the knowledge about rearrangement reactions triggered by photons is necessary. Hence, within this thesis the ultrafast Wolff rearrangement of an α-diazocarbonyl was investigated via ultrafast photofragment ion spectroscopy in the gas phase. Though the compound is not chiral, the knowledge about the exact reaction mechanism is beneficial for future studies of chiral compounds.
The goal of this thesis was the development and application of higher-order spectroscopic techniques. In contrast to ordinary pump–probe (PP) and two-dimensional (2D) spectroscopy, higher-order coherently detected spectroscopic methods measure a polarization that has an order of nonlinearity higher than three. The key idea of the techniques in this thesis is to isolate the higher-order signals from the lower-order signals either by their excitation frequency or by their excitation intensity dependence. Due to the increased number of interactions in higher-order spectroscopy, highly excited states can be probed. For excitonic systems such as aggregates and polymers, the fifth-order signal allows one to directly measure exciton–exciton annihilation (EEA). In polymers and aggregates, the exciton transport is not connected to a change of the absorption and can therefore not be investigated with conventional third-order techniques. In contrast, EEA can be used as a probe to study exciton diffusion in these isonergetic systems. As a part of this thesis, anisotropy in fifth-order 2D spectroscopy was investigated and was used to study geometric properties in polymers.
In 2D spectroscopy, the multi-quantum signals are separated from each other by their spectral position along the excitation axis. This concept can be extended systematically to higher signals. Another approach to isolate multi-quantum signals in PP spectroscopy utilizes the excitation intensity. The PP signal is measured at specific excitation intensities and linear combinations of these measurements result in different signal contributions. However, these signals do not correspond to clean nonlinear signals because the higher-order signals contaminate the lower-order multi-quantum signals. In this thesis, a correction protocol was derived that uses the isolated multiquantum signals, both from 2D spectroscopy and from PP spectroscopy, to remove the contamination of higher-order signals resulting in clean nonlinear signals. Using the correction on the third-order signal allows one to obtain annihilation-free signals at high excitation intensities, i.e., with high signal-to-noise ratio. Isolation and correction in PP and 2D spectroscopy were directly compared by measuring the clean third-order signals of squaraine oligomers at high excitation intensities. Furthermore, higher-order PP spectroscopy was used to isolate up to the 13th nonlinear order of squaraine polymers.
The demonstrated spectroscopic techniques represent general procedures to isolate clean signals in terms of perturbation theory. The technique of higher-order PP spectroscopy needs only small modifications of ordinary PP setups which opens the field of higher-order spectroscopy to the broad scientific community. The technique to obtain clean nonlinear signals allows one to systematically increase the number of interacting (quasi)particles in a system and to characterize their interaction energies and dynamics.
Coherent Multidimensional Spectroscopy in Molecular Beams and Liquids Using Incoherent Observables
(2018)
The aim of the present work was to implement an experimental approach that enables coherent two-dimensional (2D) electronic spectroscopy of samples in various states of matter. For samples in the liquid phase, a setup was realized that utilizes the sample fluorescence for the acquisition of 2D spectra. Whereas the liquid-phase approach has been established before, coherent 2D spectroscopy on gaseous samples in a molecular beam as developed in this work is in fact a new method. It employs for the first time cations in a time-of-flight mass spectrometer for signal detection and was used to obtain the first ion-selective 2D spectra of a molecular-beam sample. Additionally, a new acquisition concept was developed in this thesis that significantly decreases measurement times in 2D spectroscopy using optimized sparse sampling and a compressed-sensing reconstruction algorithm.
Characteristic for the variant of 2D spectroscopy presented in this work is the usage of a phase-coherent sequence of four laser pulses in a fully collinear geometry for sample excitation. The pulse sequence was generated by a custom-designed pulse shaper that is capable of rapid scanning by changing the pulse parameters such as time delays and phases with the repetition rate of the laser. The sample's response was detected by monitoring incoherent observables that arise from the final-state population, for instance fluorescence or cations. Phase cycling, i.e., signal acquisition with different combinations of the relative phases of the excitation pulses, was applied to extract nonlinear signal contributions from the full signal during data analysis.
Liquid-phase 2D fluorescence spectroscopy was established with the laser dye cresyl violet as a sample molecule, confirming coherent oscillations previously observed in literature that are originating from vibronic coherences in specific regions of the 2D spectrum.
The data set of this experiment was used subsequently to introduce optimized sparse sampling in 2D spectroscopy. An optimization algorithm was implemented in order to find the best sampling pattern while taking only one quarter of the regular time-domain sampling points, thereby reducing the acquisition time by a factor of four. Signal recovery was based on a new and compact representation of 2D spectra using the von Neumann basis, which required about six times less coefficients than the Fourier basis to retain the relevant information. Successful reconstruction was shown by recovering the coherent oscillations in cresyl violet from a reduced data set.
Finally, molecular-beam coherent 2D spectroscopy was introduced with an investigation of ionization pathways in highly-excited nitrogen dioxide, revealing transitions to discrete auto-ionizing states as the dominant contribution to the ion signal. Furthermore, the advantage of the time-of-flight approach to obtain reactant and product 2D spectra simultaneously enabled the observation of distinct differences in the multiphoton-ionization response functions of the nitrogen dioxide cation and the nitrogen oxide ionic fragment.
The developed experimental techniques of this work will facilitate fast acquisition of 2D spectra for samples in various states of matter and permit reliable direct comparison of results. Therefore, they pave the way to study the properties of quantum coherences during photophysical processes or photochemical reactions in different environments.
This thesis describes novel concepts for the measurement of the static and dynamic properties of the electronic structure of molecules and nanocrystals in the liquid phase by means of coherent fluorescence-detected spectroscopy in two and three frequency dimensions. These concepts are based on the systematic variation ("phase cycling") of a sequence of multiple time-delayed femtosecond excitation pulses in order to decode a multitude of novel nonlinear signals from the resulting phase-dependent fluorescence signal. These signals represent any permutation of correlations between zero-, one-, two-, and three-quantum coherences. To this end, two new phase-cycling schemes have been developed which can simultaneously resolve and discriminate several nonlinear signals of sixth order, including those of the fourth order of nonlinearity.
By means of the sixth-order signals recorded in this work, static properties of highly excited electronic states in molecules such as their energies, transition dipole moments, and relative displacement of electronic potential surfaces, as well as dynamic properties in terms of their relaxation kinetics, can be ascertained. Furthermore, it was shown that these signals are suitable for the characterization of exciton-exciton correlations in colloidal quantum dots and for the measurement of ultrafast exciton-exciton annihilation in molecular aggregates.
The experiments performed in this thesis mark an important step towards the complete characterization of the nonlinear response of quantum systems. In view of this, the concept of fluorescence-detected multiple-quantum coherence multidimensional spectroscopy introduced here offers a unified, systematic approach.
In virtue of the technical advantages such as the use of a single excitation beam and the absence of nonresonant contributions, the measurement protocols developed here can be directly transferred to other incoherent observables and to sample systems in other states of matter. Furthermore, the approaches presented here can be systematically extended to higher frequency dimensions and higher orders of nonlinearity.
Within the framework of this thesis, photolysis reactions in the liquid phase were investigated by means of ultrafast optical spectroscopy. Apart from molecular studies dealing with the highly spin-dependent reactivity of diphenylcarbene (DPC) in binary solvent
mixtures and ligand dissociation reactions of so-called CO-releasing molecules (CORMs),
special emphasis was put on the implementation and characterization of methods improving
and extending the signal detection in conventional pump–probe transient absorption setups.
The assumption of DPC being an archetypal triplet-ground-state arylcarbene was recently questioned by matrix-isolation studies at low temperatures. DPC embedded in argon matrices revealed a hitherto unknown reactivity when the carbene environment was modified by small amounts of methanol dopant molecules. To complement these findings with liquid-phase experiments at room temperature, femtosecond pump–probe transient absorption spectroscopy with probing in the visible and ultraviolet regime was employed to unravel primary reaction processes of DPC in solvent mixtures. Supported by quantum chemical simulations conducted by our collaborators, it was shown that a competition between the reaction pathways occurs that not only depends on the solvent molecule near-by but also on its interaction with other solvent molecules. In-depth analysis of the solvation dynamics and the amount of nascent intermediates corroborates the importance of a hydrogen-bonded complex with a protic solvent molecule, in striking analogy to complexes found at cryogenic temperatures.
Probing the transient absorption of molecules in the mid-infrared spectral range benefits from the high chemical specificity of molecules’ vibrational signatures. The technique of chirped-pulse upconversion (CPU) constitutes a promising alternative to standard direct multichannel MCT detection when accessing this spectral detection window. Hence, one chapter of this thesis is dedicated to a direct comparison between both detection methods. By conducting an exemplary pump–probe transient absorption experiment, it became evident, that the additional nonlinear interaction step is responsible for increased noise levels when using CPU. However, a correction procedure capable of removing these additional noise contributions—stemming from the fundamental laser radiation used for upconversion—was successfully tested. Perhaps most importantly for various spectroscopic applications, CPU scored with a significantly extended detection bandwidth owing to the high pixel numbers of modern CCD cameras.
Transition-metal complexes capable of releasing small molecular messengers upon photoactivation are promising sources of gasotransmitters such as carbon monoxide (CO) or nitric oxide (NO) in biological applications. However, only little is known about the characteristic time scales of ligand dissociation in this class of molecules. For this purpose, two complexes were investigated with femtosecond time resolution: [Mn(CO)3(tpm)]Cl with tpm=tris(2-pyrazolyl)methane, a manganese tricarbonyl complex which has proven to be selective and cytotoxic to cancer cells, and [Mo(CO)2(NO)(iPr3tacn)]PF6 with iPr3tacn=1,4,7-triisopropyl-1,4,7-triazacyclononane, a molybdenum complex containing both carbonyl and nitrosyl ligands. By conducting pump–probe transient absorption measurements in different spectral probing windows supported by quantum chemical calculations and linear absorption spectroscopy, it was shown that both complexes are able to release one CO ligand within the first few picoseconds after UV excitation. The results complement existing studies which focused on the molecules’ ligand-releasing properties upon long-term exposure. The additional information gained on an ultrafast time scale provides a comprehensive understanding of individual reaction steps connected with ligand release in this class of molecules. Hence, the studies might create new incentives to develop modified molecules for specific applications.
Photoinduced processes are nowadays studied with a huge variety of spectroscopic methods. In the liquid phase, transient absorption spectroscopy is probably the most versatile pump–probe technique used to study light-induced molecular phenomena. Optical time-resolved spectroscopy is established in a large number of laboratories and is still further being developed with respect to many technical aspects. Nevertheless, the full potential of shortening the data-acquisition time—necessary for the investigation of rapidly photodegrading samples and observation of macroscopically fast processes—achievable with high-repetition-rate laser systems and shot-to-shot detection was not fully exploited. Especially, shot-to-shot detection is highly beneficial due to the high correlation of subsequent laser pulses.
The development and implementation of 100 kHz broadband shot-to-shot data acquisition was presented in Chapter 3. For an established laser dye as a benchmark system, ultrafast excited-state dynamics were measured for the first time with broadband shot-to-shot detection at 100 kHz. An analysis of both the noise characteristics of the employed laser and the correlation of subsequent pulses quantified the advantage of shot-to-shot data acquisition. In the utilized software environment, the time for measuring a complete data set could be sped up by a factor of three or even higher compared to a laser system working at 1 kHz. So far, the limiting factor is the data processing and the movement of the mechanical delay stage. Nevertheless, the new shot-to-shot detection has the potential to shorten the measurement time up to a factor of 100. The data quality is improved by a factor of three when the hitherto conventional averaging scheme is compared to shot-to-shot acquisition for the same number of laser pulses. The expansion of shot-to-shot data acquisition for high repetition rates will allow studies on sensitive samples as exposure times can strongly be reduced to achieve the same signal-to-noise ratio. In addition, multidimensional spectroscopy can also be extended to high-repetition shot-to-shot readout allowing an efficient recording of data. Therefore, in future experiments, dynamics and couplings in sensitive samples and kinetic processes could be studied in more detail.
Complex photophysical and photochemical phenomena are subject of many fields of research. Many of these multifaceted processes are not yet fully understood. Therefore, a possible approach is the elucidation of single reaction steps with the combination of transient absorption spectroscopy and a suitable, less complex model system. The systematic variation of the model system’s properties and environments, e.g., by chemical substitution or adequate choice of the solvent allows the determination of essential entities and reactivities thereof. Proper knowledge of an individual intermediate step and its determining factors can enhance the understanding of the complete photoreaction process.
The application of transient absorption spectroscopy was shown for the optically-induced electron transfer in a series of donor–acceptor oligomers in Chapter 4. In general, the solvent relaxation times were isolated from the back-electron-transfer dynamics by a global lifetime analysis. For the smallest oligomeric structure where complete charge separation is possible, an ultrafast equilibration leads to charge recombination from the configuration showing the lowest barrier for recombination. The back-electron transfer strongly depends on the utilized solvent. Whereas in dichloromethane the back-electron transfer occurs with the maximum rate in the barrierless optimal region, the dynamics in toluene are governed by a Marcus inverted-region effect. The experimentally observed rates were also estimated by theoretical calculations of the respective barriers. The study did not only successfully unravel charge transfer in the oligomeric systems but also improved the understanding of the electron-transfer properties of larger polymers from an earlier study. Therefore, the combination of length variation and time-resolved spectroscopy is an important step towards the correct prediction of charge-carrier dynamics in macroscopic devices, e.g., for photovoltaics.
The bond dissociation of a carbon-monoxide-releasing molecule in aqueous solution was studied in Chapter 5 as a prototype reaction for the photo-triggered breaking of a bond. It was shown that upon excitation only one carbon-monoxide ligand of the tricarbonyl complex is dissociated. A fraction of the photolyzed molecules restore the intact initial complex by geminate recombination within the temporal resolution of the experiment. However, the recombination could be detected by the hot ground-state infrared absorption of the complex. The detectable dicarbonyl formed upon CO release distributes excess energy from the absorbed photon into low-frequency modes which result in broadened absorption bands like for the recombined tricarbonyl. The free coordination site in the ligand sphere is filled with a solvent water molecule. Despite numerous studies of metal carbonyls studied in alkaneous solutions, the elucidation of the dynamics of a CORM in aqueous solution added another important detail to the photochemistry of this class of compounds. Experiments employing a second ultraviolet pump pulse did not trigger further CO dissociation and hence no formation of a monocarbonyl species; this might either be due to a different release mechanism without a further photochemical step or a strong spectral shift of the dicarbonyl’s absorption. Both reasons could explain why degenerate pump–repump–probe spectroscopy is inefficient. However, further experiments with ultraviolet probe pulses could substantiate whether the intermediate dicarbonyl reacts further photochemically or not. Apart from the model-system character of the CORM for bond dissociation, the study could determine exactly how many CO ligands are initially photolyzed off. Detailed knowledge of the release mechanism will affect the previous use and application as well as the further development of CORMs as therapeutic prodrugs to deliver high local concentrations of CO in cancerous or pathological tissue. Hence, the study of two-photon absorption properties which are important for in vivo applications of CORMs should be the main focus in further spectroscopic experiments.
In Chapter 6, both abovementioned molecular phenomena—electron transfer and bond dissociation—were studied in combination. The photochemistry of a tetrazolium salt was studied in detail in a variety of different solvents. Being a relatively small molecule, the studied tetrazolium cation shows a multifaceted photochemistry and is therefore a textbook example for the combination of ultrafast molecular phenomena studied in different environments. Within femtoseconds, the tetrazolium ring is opened. The biradicalic species is then reduced via uptake of an electron from the solvent. The formation of the ring-open formazan photoproduct from this point of the reaction sequence on was excluded by experiments with acidic pH value of the solution. The ring-open radical is stabilized by ring-closure. The resulting tetrazolinyl radical was already observed in experiments with microsecond time resolution. However, its formation was observed in real time for the first time in this study. Irradiation of a tetrazoliumsalt solution yields different photoproduct distributions depending on the solvent. However, it was shown that all photoproducts have a tetrazolinyl radical as a common precursor on an ultrafast time scale. In combination with studies from the literature, the complete photochemical conversion of a tetrazolium salt was clarified in this study. Apart from the prototype character of the reaction sequence, the reaction mechanism will have impact on research associated with life science where tetrazolium assays are used on a daily basis without taking into account of photochemical conversion of the indicating tetrazolium ion and its photochemically formed reactive intermediates. On the basis of the tetrazolium-ion photochemistry, the rich photochemistry of the formazan photoproduct, including structural rearrangements and subsequent reformation of the tetrazolium ion, might be the subject of future studies.
This thesis shows a method advancement and application of transient absorption spectroscopy to exemplary molecular model systems. The insights into each respective field did not only enlighten singular aspects, but have to be seen in a much larger context. Understanding complex photoinduced processes bottom-up by learning about their constituting steps—microscopically and on an ultrafast time scale—is an ideal method to approach understanding and prediction of phenomena in large molecular systems like biological or artificial architectures as for example used in photosynthetic light-harvesting and photovoltaics.
The invention of laser pulse shapers allowed for various quantum control experiments, where a chemical reaction is guided by specifically tailored laser pulses. However, despite of the prominent role of the liquid phase in chemistry, no successful attempt for controlling the selectivity of a bond-fission reaction has yet been reported in this state of matter. Promising candidates for such an experiment are C$_{\infty\mathrm{v}}$-symmetric trihalide anions with two different chemical bonds like $\ce{I2Cl-}$, because these molecules notionally offer the most simplest selectivity-control scenario of breaking either the one or the other bond and they are expected to dissociate under ultraviolet (UV) irradiation like it is known for the most-studied trihalide $\ce{I3-}$.
In order to investigate in this thesis the possibility that the dissociation reaction of such trihalides branches into two different photofragments, the ultrafast photodissociation dynamics of $\ce{I3-}$, $\ce{Br3-}$, $\ce{IBr2-}$ and $\ce{ICl2-}$ (point group D$_{\infty\mathrm{h}}$) as well as of $\ce{I2Br-}$ and $\ce{I2Cl-}$ (point group C$_{\infty\mathrm{v}}$) in dichloromethane solution were measured with broadband transient absorption spectroscopy in magic-angle configuration. The identification of the reaction pathway(s) relies on vibrational wavepacket oscillations, which survive the dissociation process and therefore carry not only informations about the reactant trihalides but also about the fragment dihalides.
These characteristic vibrational wavenumbers were extracted from the measured transient absorption spectra by globally fitting the population dynamics together with the wavepacket dynamics. Until recently, such a combined model function was not available in the well-established fitting tool Glotaran. This made it inevitable to develop a custom implementation of the underlying variable-projection fitting algorithm, for which the computer-algebra software Mathematica was chosen. Mathematica's sophisticated built-in functions allow not only for a high flexibility in constructing arbitrary model functions, but also offer the possibility to automatically calculate the derivative(s) of a model function. This allows the fitting procedure to use the exact Jacobian matrix instead of approximating it with the finite difference method.
Against the expectation, only one of the two thinkable photodissociation channels was found for each of the investigated C$_{\infty\mathrm{v}}$ trihalides. Since the photofragments recombine, their absorption signal as well as the reactant ground state bleach recover. This happens in a biexponential manner, which in the case of $\ce{I3-}$ was interpreted by Ruhman and coworkers with the direct formation of a neutral dihalogen fragment $\ce{I2}$ beside the negatively charged dihalide fragment $\ce{I2-}$. In this thesis, such a direct reaction channel was not found and instead the fast component of the biexponential decay is explained with vibrational excess energy mediating the recombination-preceding electron transfer process $\ce{I2- + I -> I2 + I-}$, while the slow component is attributed to cooled-down fragments.
In addition to the trihalide experiments, the possibility of a magic-angle configuration for polarization-shaping control experiments was theoretically investigated in this thesis by deriving magic-angle conditions for the third-order electric-dipole response signal of arbitrarily polarized laser pulses. Furthermore, the subtleties of anisotropy signals violating the well-known range of \numrange{-0.2}{0.4} were studied.
Investigation of Nanostructure-Induced Localized Light Phenomena Using Ultrafast Laser Spectroscopy
(2017)
In recent years, the interaction of light with subwavelength structures, i.e., structures that are smaller than the optical wavelength, became more and more interesting to scientific research, since it provides the opportunity to manipulate light-induced dynamics below the optical diffraction limit. Specifically designed nanomaterials can be utilized to tailor the temporal evolution of electromagnetic fields at the nanoscale. For the investigation of strongly localized processes, it is essential to resolve both their spatial and their temporal behavior. The aim of this thesis was to study and/or control the temporal evolution of three nanostructure-induced localized light phenomena by using ultrafast laser spectroscopy with high spatial resolution.
In Chapter 4, the absorption of near-infrared light in thin-film a-Si:H solar cells was investigated. Using nanotextured instead of smooth interfaces for such devices leads to an increase of absorption from < 20% to more than 50% in the near-infrared regime. Time-resolved experiments with femtosecond laser pulses were performed to clarify the reason for this enhancement. The coherent backscattered radiation from nanotextured solar cell devices was measured as a function of the sample position and evaluated via spectral interferometry. Spatially varying resonance peaks in the recorded spectra indicated the formation of localized photonic modes within the nanotextured absorber layers. In order to identify the modes separately from each other, coherent two-dimensional (2D) nanoscopy was utilized, providing a high spatial resolution < 40 nm. In a nanoscopy measurement on a modified device with an exposed nanotextured a-Si:H absorber layer, hot-spot electron emission was observed and confirmed the presence of localized modes. Fitting the local 2D nanospectra at the hot-spot positions enabled the determination of the resonance frequencies and coherence lifetimes of the modes. The obtained lifetime values varied between 50 fs and 130 fs. Using a thermionic emission model allowed the calculation of the locally absorbed energy density and, with this, an estimation of the localization length of the photonic modes (≈1 μm). The localization could be classified by means of the estimated localization length and additional data evaluation of the backscattered spectra as strong localization ─ the so-called Anderson localization.
Based on the experimental results, it was concluded that the enhanced absorption of near-infrared light in thin-film silicon solar cells with nanotextured interfaces is caused by the formation of strongly localized photonic modes within the disordered absorber layers. The incoming near-infrared light is trapped in these long-living modes until absorption occurs.
In Chapter 5, a novel hybridized plasmonic device was introduced and investigated in both theory and experiment. It consists of two widely separated whispering gallery mode (WGM) nanoantennas located in an elliptical plasmonic cavity. The goal was to realize a periodic long-range energy transfer between the nanoantennas. In finite-difference time-domain (FDTD) simulations, the device was first optimized with respect to strong coupling between the localized antenna modes and the spatially-extended cavity mode. The geometrical parameters of the antennas and the cavity were adjusted separately so that the m="0" antenna mode and the cavity mode were resonant at λ="800 nm" . A high spatial overlap of the modes was achieved by positioning the two antennas in the focal spots of the cavity, leading to a distance between the antenna centers of more than twice the resonant wavelength of the modes. The spectral response of the optimized device revealed an energy splitting of the antenna and the cavity mode into three separated hybridized eigenmodes within an energy range of about 90 meV due to strong coupling. It could be well reproduced by a simple model of three coupled Lorentzian oscillators. In the time domain, an oscillatory energy transfer between both antennas with a period of 86 fs and an energy transfer efficiency of about 7% was observed for single-pulse excitation. For the experiments, devices with cavities and antennas of varying size were fabricated by means of focused-ion-beam (FIB) milling. Time-resolved correlation measurements were performed with high spatial and temporal resolution by using sequences of two femtosecond laser pulses for excitation and photoemission electron microscopy (PEEM) for detection. Local correlation traces at antennas in resonant devices, i.e., devices with enhanced electron emission at both antenna positions, were investigated and reconstructed by means of the coupled-oscillator model. The corresponding spectral response revealed separated peaks, confirming the formation of hybridized eigenmodes due to strong coupling. In a subsequent simulation for single-pulse excitation, one back-and-forth energy transfer between both antennas with an energy transfer efficiency of about 10% was observed.
Based on the theoretical and experimental results, it was demonstrated that in the presented plasmonic device a periodic long-range energy transfer between the two nanoantennas is possible. Furthermore, the coupled-oscillator model enables one to study in depth how specific device properties impact the temporal electric-field dynamics within the device. This can be exploited to further optimize energy transfer efficiency of the device. Future applications are envisioned in ultrafast plasmonic nanocircuitry. Moreover, the presented device can be employed to realize efficient SPP-mediated strong coupling between widely separated quantum emitters.
In Chapter 6, it was investigated in theory how the local optical chirality enhancement in the near field of plasmonic nanostructures can be optimized by tuning the far-field polarization of the incident light. An analytic expression was derived that enables the calculation of the optimal far-field polarizations, i.e., the two far-field polarizations which lead to the highest positive and negative local optical chirality, for any given nanostructure geometry. The two optimal far-field polarizations depend on the local optical response of the respective nanostructure and thus are functions of both the frequency ω and the position r. Their ellipticities differ only in their sign, i.e., in their direction of rotation in the time domain, and the angle between their orientations, i.e., the angle between the principal axes of their ellipses, is ±π/"2" . The handedness of optimal local optical chirality can be switched by switching between the optimal far-field polarizations. In numerical simulations, it was exemplarily shown for two specific nanostructure assemblies that the optimal local optical chirality can significantly exceed the optical chirality values of circularly polarized light in free space ─ the highest possible values in free space. The corresponding optimal far-field polarizations were different from linear and circular and varied with frequency. Using femtosecond polarization pulse shaping provides the opportunity to coherently control local optical chirality over a continuous frequency range. Furthermore, symmetry properties of nanostructures can be exploited to determine which far-field polarization is optimal.
The theoretical findings can have impact on future experimental studies about local optical chirality enhancement. Tuning the far-field polarization of the incident light offers a promising tool to enhance chirally specific interactions of local electromagnetic fields with molecular and other quantum systems in the vicinity of plasmonic nanostructures. The presented approach can be utilized for applications in chiral sensing of adsorbed molecules, time-resolved chirality-sensitive spectroscopy, and chiral quantum control.
In conclusion, each of the localized light phenomena that were investigated in this thesis ─ the enhanced local absorption of near-infrared light due to the formation of localized photonic modes, the periodic long-range energy transfer between two nanoantennas within an elliptical plasmonic cavity, and the optimization of local optical chirality enhancement by tuning the far-field polarization of the incident light ─ can open up new perspectives for a variety of future applications.
.
Nanoröhren, die auf dem Element Kohlenstoff basieren, besitzen ein großes Potential für ihre
Anwendung als neuartige und nachhaltige Materialien im Bereich der Optoelektronik und weiteren
zukunftsweisenden Technologiefeldern. Um jedoch hierfür genutzt werden zu können, ist
ein tiefgreifendes Kenntnis über ihre außergewöhnlichen photophysikalischen Eigenschaften notwendig.
Kohlenstoffnanoröhren sind als eindimensionale Halbleiter sehr vielseitige Materialien.
Jedoch ist der Zusammenhang zwischen ihrer Eignung als Halbleiter und der dafür notwendigen
Dotierung nur sehr unzureichend verstanden.
Die Ziele der vorliegenden Dissertation waren deshalb, ein grundlegendes Verständnis der photophysikalischen
Energietransferprozesse in Nanoröhren zu erlangen und den Einfluss von gezielten
Dotierungen auf diese Prozesse im Hinblick auf ihre Eigenschaften als eindimensionale Halbleiter
detailliert zu untersuchen. Die Grundlage für die Experimente bildeten verschiedene Filme
aus einwandigen (6,5)-Kohlenstoffnanoröhren, die durch ein Polyfluoren-Copolymer in einer
organischen Lösungsmittelumgebung isoliert wurden. Mit Hilfe der Ultrakurzzeitspektroskopie
wurden die auf einer schnellen (ps-ns) Zeitskala ablaufenden photophysikalischen Prozesse an
diesen Filmen unter verschiedenen Bedingungen untersucht und analysiert.
In Kapitel 4 wurde der generelle Energietransfer der Kohlenstoffnanoröhren in Polymermatrizen
im Detail studiert. Hierbei wurden durch Simulationen theoretische dreidimensionale
Verteilungen von Kohlenstoffnanoröhren erzeugt und die nach einem Energietransfer vorliegenden
Polarisationsanisotropien berechnet. Verschiedene Berechnungsansätze ergaben, dass die
Nanorohrdichte ϱSWCNT für ein Massenüberschuss X der Matrix nahezu unabhängig von dem
Röhrenvolumen war und durch ϱSWCNT = X−1 · 40 000 μm−1 angenähert werden konnte. Die
Simulationen lieferten von der Röhrendichte abhängige Gaußverteilungen der zwischen den
Nanoröhren vorliegenden Abständen. Aus den Verteilungen konnte weiterhin der Anteil an Röhren
bestimmt werden, die für einen Energietransfer zur Verfügung stehen. Weitere Simulationen
von Nanorohrverteilungen lieferten die Polarisationsanisotropie in Abhängigkeit von der Anzahl
an durchgeführten Energietransferschritten. Die Ergebnisse aus den Simulationen wurden zur
Interpretation der Ultrakurzzeitmessungen angewandt. Hierbei wurden durch die Variation der
Polymermatrix die zwischen den Nanoröhren vorliegenden Abstände verändert und damit die
Art und Intensität des Energietransfers kontrolliert. In Messungen der transienten Anisotropie
zeigte sich, dass ein Exziton nach seiner Erzeugung zwei depolarisierende Energietransferschritte
durchführte. Die Zerfallsdynamiken des Exzitons gaben auch klare Hinweise auf weitere nicht
depolarisierende Energietransferprozesse, die durch parallel zueinander stehende Übergangsdipolmomente
ermöglicht wurden. Eine Erklärung für dieses Verhalten lieferte die faserige
Struktur der Filme, die sich in Aufnahmen durch das Elektronenmikroskop zeigte.
Das Kapitel 5 beschäftigte sich mit dem Aufbau eines transienten Nahinfrarotspektrometers
und den nötigen experimentellen Umbauten zur Messung der transienten Absorption für energiearme
Signale im Spektralbereich unterhalb von 1.4 eV. Hierzu wurde die Weißlichterzeugung
für die Verwendung von Calciumfluorid umgebaut. Das erzeugte Weißlicht wurde in das aufgebaute
Prismenspektrometer eingekoppelt, um es weitestgehend linear auf einer Energieskala zu dispergieren. Auf diese Weise wurden energiearme Spektralkomponenten nicht auf unverhältnismäßig
viele Pixel verteilt und konnten mit ausreichender Intensität detektiert werden. Die
Lichtdetektion erfolgte mittels zweier Detektorzeilen aus Indiumgalliumarsenid, die das transiente
Signal durch eine direkte Referenzierung stabilisierten. Weiterhin wurde in diesem Kapitel die
Justage und die programmierte Ansteuerung des Systems detailliert beschrieben. Hierbei wurde
auf die Justage der Einkopplung per Freistrahl, die Kalibrierung mittels Bandpassspektren
sowie auf die Aufnahme von Weißlichtspektren und transienten Karten detailliert eingegangen.
An Nanorohrdispersionen durchgeführten Testmessungen zeigten, dass das transiente Nahinfrarotspektrometer
mit direkter Signalreferenzierung einwandfrei funktionierte und daher den
beobachtbaren Spektralbereich auf den Bereich von Energien bis unterhalb von 1 eV erweiterte.
Damit ermöglichte der Aufbau einen Zugang zu der Beobachtung größerer Nanorohrchiralitäten
sowie zu der Untersuchung von energiearmen, spektralen Signaturen von Nanorohrdefekten.
In Kapitel 6 wurde das transiente Nahinfrarotspektrometer genutzt, um das zeitabhängige
Verhalten von redoxchemisch p-dotierten Nanoröhren zu charakterisieren und quantitativ zu
beschreiben. Hierzu wurden die spektralen Eigenschaften von SWCNT-Dünnfilmen als Funktion
eines steigenden Dotierungsgrades durch die Messungen der transienten und linearen Absorption
studiert. In der linearen Absorption im Bereich von 0.9 - 2.5 eV vereinfachte sich das Spektrum
mit ansteigender Dotierung stark und verlor vor allem im Bereich des ersten Subbandes
deutlich an Oszillatorstärke. Bei starker Dotierung verschwanden die Signalbeiträge von X1
und der Phononenseitenbande. Weiterhin bleichte auch die bei mittleren Dotierungsgraden
auftauchende Trionenabsorption aus und ging in die breite Absorptionsbande der H-Bande über.
Das Erscheinen und Verschwinden der trionischen sowie exzitonischen Absorption war ebenfalls
in der transienten Absorption durch zeitgleich auftretende/verschwindende Photobleichsignale
zu erkennen. Sowohl der Zerfall des exzitonischen PB-Signals wie auch des Trions beschleunigte
sich mit einer steigenden Dotierung. Die Zerfallszeit des Exzitons im undotierten Film betrug
6.87 ps und verkürzte sich auf 0.732 ps bei höheren Dotierungsgraden. Die Zerfallszeit des Photobleichens
des Trions reduzierte sich von 2.02 ps auf 0.440 ps. Auffallend war hierbei, dass das
Trion im Vergleich zu dem Exziton exponentiell zerfiel und damit auf eine Lokalisierung dieses
Zustandes hinweist. Bei höheren Dotierungsmittelkonzentrationen tauchte in der transienten
Absorption ein neuer Signalbeitrag auf. Die Existenz dieses Signals konnte auf die H-Bande
zurückgeführt werden und könnte auf einer Verschiebung des linearen Absorptionsspektrums
aufgrund einer Renormalisierung der Bandlücke oder der Sättigung von Ladungsträgern beruhen.
Das Signal zeigte eine klare Abhängigkeit vom Dotierungsgrad des Nanorohrfilmes. So wies es
eine hypsochrome Verschiebung auf, wurde spektral breiter und seine Zerfallsdauer reduzierte
sich von 1.62 ps auf 0.520 ps mit steigendem Dotierungsgrad.