Institut für Physikalische und Theoretische Chemie
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The scope of computational chemistry can be broadened by developing new methods and more efficient algorithms. However, the evaluation of the applicability of the methods for the different fields of chemistry is equally important. In this thesis systems with an unusual and complex electronic structure, such as excitonic states in organic semiconductors, a boron-containing bipolaron and the excited states of pyracene were studied and the applicability of the toolkit of computational chemistry was investigated. Concerning the organic semiconductors the focus was laid on organic solar cells, which are one of the most promising technologies with regard to satisfying the world's need for cheap and environmentally sustainable energy. This is due to the low production and material costs and the possibility of using flexible and transparent devices. However, their efficiency does still not live up to the expectations. Especially the exciton diffusion lengths seem to be significantly too short. In order to arrive at improved modules, a fundamental understanding of the elementary processes occurring in the cell on the molecular and supramolecular level is needed. Computational chemistry can provide insight by separating the different effects and providing models for predictions and prescreenings. In this thesis, the focus was laid on the description of excitonic states in merocyanines and perylene-based dyes taking the influence of the environment into account.
At first, the photochemical isomerization between two configurations of 6-nitro BIPS observed experimentally was studied by first benchmarking several functionals against SCS-ADC(2) in the gas phase and subsequently calculating the excited-state potential energy surface. The geometries obtained from a relaxed scan in the ground state as well as from a scan in the excited state were used. The environment was included using different polarizable continuum models. It was shown that the choice of the model and especially the question of the state specificity of the approach is of vital importance. Using the results of the calculations, a two-dimensional potential energy surface could be constructed that could be used to explain the experimental findings. Furthermore, the importance of the excited-state isomerization as a potential deactivation channel in the exciton transport was pointed out.
Then the assessment of the suitability of different merocyanines for optoelectronic applications with quantum-chemical methods was discussed. At first, the effect of the environment on the geometry, especially on the bond length alternation pattern, was investigated. It was shown that the environment changes the character of the ground-state wave function of several merocyanines qualitatively, which means that the results of gas-phase calculations are meaningless - at least when a comparison with solution or device data is desired. It was demonstrated that using a polarizable continuum model with an effective epsilon, a qualitative agreement between the calculated geometry and the geometry in the crystal structure can be obtained. Therefore, by comparing the bond length alternation in solution and in the crystal, a rough estimate of the effect of the crystal environment can be made.
It was further shown that the connection between the HOMO energy and the open-circuit voltage is not as simple as it is often implied in the literature. It was discussed that it is not clear whether the HOMO of a single molecule or a $\pi$-stack containing several monomers should be used and if the environmental charges of the bulk phase or the interface should be included. Investigating the dependence of the HOMO energy on the stack size yielded no definitive trend. Furthermore, it was discussed that the effect due the optimization of the modules (solvent, bulk heterojunction) during the production masks any potential correlation between the HOMO energy and measured open-circuit values. Therefore, a trend can only be expected for unoptimized bilayer cells. It was concluded that ultimately, the importance of the HOMO energy should not be overestimated.
The correlation between the exciton reorganization energy and the so-called cyanine limit, which is predicted by a simple two-state model, was also discussed. By referring to the results of VB calculations, it was discussed that the correlation indeed exists and is non-negligible, although the effect is not as strong as one might have expected. In this context, a potential application of a VB/MM approach was covered briefly. The importance of the molecular reorganization energy and the device morphology was also discussed.
It was concluded that the optimization of merocyanines for organic optoelectronic devices is inherently a multiparameter problem and one cannot expect to find one particular parameter, which solely controls the efficiency.
The perylene-based dyes were studied with a focus on the description of a potential trapping mechanism involving an intermolecular motion in a dimer. The aim was to find methods which can be applied to larger model systems than a dimer and take the effect of the environment into account. As a test coordinate the longitudinal shift of two monomers against each other was used. At first, it was demonstrated how the character of an excited state in a dimer can be defined and how it can be extracted from a standard quantum-chemical calculation. Then several functionals were benchmarked and their applicability or failure was rationalized using the character analysis. Two recipes could be proposed, which were applied to a constraint optimization (only intermolecular degrees of freedom) in the excited states of the PBI dimer and to the description of the potential energy surfaces of ground and excited states along a longitudinal displacement in the perylene tetramer, respectively.
It was further demonstrated that the semi-empirical OMx methods fail to give an accurate description of the excited-state potential energy surfaces as well as the ground-state surface along the test coordinate. This failure could be attributed to an underestimation of overlap-dependent terms. Consequently, it could be shown that the methods are applicable to large intermolecular distances, where the overlap is negligible. The results of DFT calculations with differently composed basis sets suggested that adding an additional single p-function for each atom should significantly improve the performance.
QM/MM methods are ideally suited to take the effect of the environment on a a dimer model system into account. However, it was shown that standard force fields also give an incorrect description of the interaction between the monomers along the intermolecular coordinate. This failure was attributed to the isotropic atom-atom interaction in the repulsion term of the Lennard-Jones potential. This was corroborated using two simple proof-of-principle anisotropy models. Therefore, a novel force field called OPLS-AA_O was presented that is based on OPLS-AA, but uses an anisotropic model for the repulsion. The model involves the overlap integral between the molecular densities, which are modeled as a sum of atom-centered p-type Gaussian functions. It was shown that using this force field an excellent agreement with the DFT results can be obtained when the correct parameters are used. These parameters, however, are not very generalizable, which was attributed to the simplicity of the model in its current state (using the same exponential parameter for all atoms). As a short excursion, the applicability of an MO-based overlap model was discussed.
It was demonstrated that the repulsion term based on the density overlap can be used to correct the failure of the OMx methods for the ground states. This is in accord with the assumption that an underestimation of the overlap terms is responsible for the failure.
It was shown that OPLS-AA_O also gives an excellent description of the longitudinal shift in a PBI tetramer. Using the tetramer as a test system and applying the recipe obtained in the TDDFT benchmark for the QM-part and OPLS-AA_O for the MM-part in conjunction with an electrostatic embedding scheme, a QM/MM description of the excited states of the PBI dimer including the effect of the environment could be obtained.
In the last chapter the theoretical description of the Bis(borolyl)thiophene dianion and the excited states of pyracene were discussed. The electronic structure of the Bis(borolyl)thiophene dianion - a negative bipolaron - was elucidated using DFT and CASPT2 methods. Furthermore, an estimation of the extent of triplet admixture to the ground state due to spin-orbit coupling was given.
In the second project the S1 and S2 states of pyracene were computed using SCS-CC2 and SCS-ADC(2) and an estimation for the balance between aromaticity and ring strain was given. This also involved computing the vibrational frequencies in the excited states.
In both studies the results of the computations were able to rationalize and complete experimental results.
As organic semiconductors gain more importance for application, research into their properties has become necessary. This work investigated the exciton and charge transport properties of organic semiconducting crystals. Based on a hopping approach, protocols have been developed for the calculation of Charge mobilities and singlet exciton diffusion coefficients. The protocols do not require any input from experimental data except for the x-ray crystal structure, since all needed quantities can be taken from high-level quantum chemical calculations. Hence, they allow to predict the transport properties of yet unknown compounds for given packings, which is important for a rational design of new materials. Different thermally activated hopping models based on time-dependent perturbation theory were studied for the charge and exciton transport; i. e. the spectral overlap approach, the Marcus theory, and the Levich-Jortner theory. Their derivations were presented coherently in order to emphasize the different levels of approximations and their respective prerequisites. A short reference was made to the empirical Miller-Abrahams hopping rate. Rate equation approaches to calculate the stationary charge carrier mobilities and exciton diffusion coefficients have been developed, which are based on the master equation. The rate equation approach is faster and more efficient than the frequently used Monte Carlo method and, therefore, provides the possibility to study the anisotropy of the transport parameters and their three-dimensional representation in the crystal. The Marcus theory, originally derived for outer sphere electron transfer in solvents, had already been well established for charge transport in organic solids. It was shown that this theory fits even better for excitons than for charges compared with the experiment. The Levich-Jortner theory strongly overestimates the charge carrier mobilities and the results deviate even stronger from the experiment than those obtained with the Marcus theory. The latter contains larger approximations by treating all vibrational modes classically. The spectral overlap approach in combination with the developed rate equations leads to even quantitatively very good results for exciton diffusion lengths compared to experiment. This approach and the appendant rate equations have also been adapted to charge transport. The Einstein relation, which relates the diffusion coefficient with the mobility, is important for the rate equations, which have been developed here for transport in organic crystals. It has been argued that this relation does not hold in disordered organic materials. This was analyzed within the Framework of the Gaussian disorder model and the Miller-Abrahams hopping rate.
Im Fokus dieser Arbeit standen (6,5)-SWNT-PFO-BPy-Komplexe als Vertreter für polyfluorenstabilisierte, einwandige Kohlenstoffnanoröhren. In einem ersten Projekt wurden präparative Verfahren zur Dispergierung und Abscheidung dieser Proben weiterentwickelt. Es ist gelungen, die Ansatzgröße von 15 mL auf 200 mL hochzuskalieren sowie dünne SWNT-Filme über Rotationsbeschichtung herzustellen.
Des Weiteren wurde die lichtinduzierte Dynamik in halbleitenden SWNTs von der ps- bis zur µs-Zeitskala untersucht. Hier wurde ein umfassendes Bild zur Singulett- und Triplett-Exzitonendynamik in halbleitenden Kohlenstoffnanoröhren gezeichnet, welches maßgeblich durch diffusionslimitierte Prozesse geprägt ist.
Abschließend wurde eine Methode vorgestellt, mit der sich Informationen zur Struktur von SWNT-Polymer-Komplexen und anderen supramolekularen Systemen gewinnen lassen. Diese basiert auf der Kombination von polarisationswinkelaufgelöster Absorptionsspektroskopie an anisotropen Proben und globaler Datenanalyse.
Theory predicts peculiar features for excited-state dynamics in one dimension (1D) that are difficult to be observed experimentally. Single-walled carbon nanotubes (SWNTs) are an excellent approximation to 1D quantum confinement, due to their very high aspect ratio and low density of defects. Here we use ultrafast optical spectroscopy to probe photogenerated charge-carriers in (6,5) semiconducting SWNTs. We identify the transient energy shift of the highly polarizable S\(_{33}\) transition as a sensitive fingerprint of charge-carriers in SWNTs. By measuring the coherent phonon amplitude profile we obtain a precise estimate of the Stark-shift and discuss the binding energy of the S\(_{33}\) excitonic transition. From this, we infer that charge-carriers are formed instantaneously (<50 fs) even upon pumping the first exciton, S\(_{11}\). The decay of the photogenerated charge-carrier population is well described by a model for geminate recombination in 1D.
The controlled shaping of ultrashort laser pulses is a powerful technology and applied in many laser laboratories today. Most of the used pulse shapers are only able to produce linearly polarized pulses shaped in amplitude and phase. Some devices are also capable of producing limited time-varying polarization profiles, but they are not able to control the amplitude. However, for some state-of-the-art non-linear time-resolved methods, such as polarization-enhanced two-dimensional spectroscopy, the possibility of controlling the amplitude and the polarization simultaneously is desirable.
Over the last years, different concepts have been developed to overcome these restrictions and to manipulate the complete vector-field of an ultrashort laser pulse with independent control over all four degrees of freedom - phase, amplitude, orientation, and ellipticity. The aim of this work was to build such a vector-field shaper. While the basic concept used for our setup is based on previous designs reported in the literature, the goal was to develop an optimized optical design that minimizes artifacts, allowing for the generation of predefined polarization pulse sequences with the highest achievable accuracy.
In Chapter 3, different approaches reported in the literature for extended and unrestricted vector-field control were examined and compared in detail. Based on this analysis, we decided to follow the approach of modulating the spectral phase and amplitude of two perpendicularly polarized pulses independently from each other in two arms of an interferometer and recombining them to a single laser pulse to gain control over the complete vector field.
As described in Chapter 4, the setup consists of three functional groups: i) an optical component to generate and recombine the two polarized beams, ii) a 4f setup, and iii) a refracting telescope to direct the two beams under two different angles of incidence onto the grating of the 4f setup in a common-path geometry. This geometry was chosen to overcome potential phase instabilities of an interferometric vector-field shaper. Manipulating the two perpendicularly polarized pulses simultaneously within one 4f setup and using adjacent pixel groups of the same liquid-crystal spatial light modulator (LC SLM) for the two polarizations has the advantages that only a single dual-layer LC SLM is required and that a robust and compact setup was achieved. The shaping capabilities of the presented design were optimized by finding the best parameters for the setup through numerical calculations to adjust the frequency distributions for a broad spectrum of 740 – 880 nm. Instead of using a Wollaston prism as in previous designs, a thin-film polarizer (TFP) is utilized to generate and recombine the two orthogonally polarized beams. Artifacts such as angular dispersion and phase distortions along the beam profile which arise when a Wollaston prism is used were discussed. Furthermore, it was shown by ray-tracing simulations that in combination with a telescope and the 4f setup, a significant deformation of the beam profile would be present when using a Wollaston prism since a separation of the incoming and outgoing beam in height is needed. The ray-tracing simulations also showed that most optical aberrations of the setup are canceled out when the incoming and outgoing beams propagate in the exact same plane by inverting the beam paths. This was realized by employing a TFP in the so-called crossed-polarizer arrangement which has also the advantage that the polarization-dependent efficiencies of the TFP and the other optics are automatically compensated and that a high extinction ratio in the order of 15000:1 is reached. Chromatic aberrations are, however, not compensated by the crossed-polarizer arrangement. The ray-tracing simulations confirmed that these chromatic aberrations are mainly caused by the telescope and not by the cylindrical lens of the 4f setup. Nevertheless, in the experimentally used wavelength range of 780 – 816 nm, only minor distortions of the beam profile were observed, which were thus considered to be negligible in the presented setup.
The software implementation of the pulse shaper was reviewed in Chapter 5 of this thesis. In order to perform various experiments, five different parameterizations, accounting for the extended shaping capabilities of a vector-field shaper, were developed. The Pixel Basis, the Spectral Basis, and the Spectral Taylor Basis can generally be used in combination with an optimization algorithm and are therefore well suited for quantum control experiments. For multidimensional spectroscopy, the Polarized Four-Pulse Basis was established. With this parameterization pulse sequences with up to four subpulses can be created. The polarization state of each subpulse can be specified and the relative intensity, phase, and temporal delay between consecutive subpulses can be controlled. In addition, different software programs were introduced in Chapter 5 which are required to perform the experiments conducted in this work.
The experimental results were presented in Chapter 6. The frequency distribution across the LC SLM was measured proving that the optimal frequency distribution was realized experimentally. Furthermore, the excellent performance of the TFP was verified. In general, satellite pulses are emitted from the TFP due to multiple internal reflections. Various measurements demonstrated that these pulses are temporally separated by at least 4.05 ps from the main pulse and that they have vanishing intensity. The phase stability between the two arms of the presented common-path setup σ = 28.3 mrad (λ/222) over 60 minutes. To further improve this stability over very long measurement times, an on-the-fly phase reduction and stabilization (OPRAS) routine utilizing the pulse shaper itself was developed. This routine automatically produces a compressed pulse with a minimized relative phase between the two polarization components. A phase stability of σ = 31.9 mrad (λ/197) over nearly 24 hours was measured by employing OPRAS. Various pulse sequences exceeding the capabilities of conventional pulse shapers were generated and characterized. The experimental results proved that shaped pulses with arbitrary phase, amplitude, and polarization states can be created. In all cases very high agreement between the target parameters and the experimental data was achieved.
For the future use of the setup also possible modifications were suggested. These are not strictly required, but all of them could further improve the performance and flexibility of the setup. Firstly, it was illustrated how a “dual-output” of the setup can be realized. With this modification it would be possible to use the main intensity of the shaped pulse for an experiment while using a small fraction to characterize the pulse or to perform OPRAS simultaneously. Secondly, the basic idea of replacing the telescope by focusing mirrors in order to eliminate the chromatic aberrations was presented. Regarding the different parameterizations for vector-field shaping, some modifications increasing the flexibility of the implemented bases and the realization of a von Neumann Basis for the presented setup were proposed. In future experiments, the vector-field shaper will be used in conjunction with a photoemission electron microscope (PEEM). This approach combines the temporal resolution provided by ultrashort laser pulses with the high spatial resolution gained by electron microscopy in order to perform two-dimensional spectroscopy and coherent control on nanostructures with polarization-shaped femtosecond laser pulses. In combination with other chiral-sensitive experimental setups implemented earlier in our group, the vector-field shaper opens up new perspectives for chiral femtochemistry and chiral control.
The designed vector-field shaper meets all requirements to generate high-precision polarization-shaped multipulse sequences. These can be used to perform numerous polarization-sensitive experiments. Employing the OPRAS routine, a quasi-infinitely long phase stability is achieved and complex and elaborated long-term measurements can be carried out. The fact that OPRAS demands no additional hardware and that only a single dual-layer LC SLM and inexpensive optics are required allows the building of a vector-field shaper at comparatively low costs. We hope that with the detailed insights into the optical design process as well as into the software implementation given in this thesis, vector-field shaping will become a standard technique just as conventional pulse shaping in the upcoming years.
Theoretical Investigations on the Interactions of Small Compounds with their Molecular Environments
(2015)
In the first part of this work, a combination of theoretical methods for the rational design of covalent inhibitor is presented. Starting from the crystal structure of the covalent complex of a lead compound, quantum mechanical and QM/MM calculations were used to derive the exact geometry of the preceeding non-covalent enzyme inhibitor complex. The geometry of the latter mainly determines the reactivity of the inhibitor against its target enzyme concerning the formation of the covalent bond towards an active site residue. Therefore, this geometry was used as starting point for the optimization of the substitution pattern of the inhibitor such as to increase its binding affinity without loosing its ability to covalently bind to the target protein. The optimization of the chemical structure was supported by using docking procedures, which are best suited to estimate binding affinities that arise from the introduced changes. A screening of the novel substitution patterns resulted in a first generation of model compounds which were further tested for their reactivity against the target. Dynamic simulations on the novel compounds revealed that the orientation that compounds adopt within the active site are such that a covalent interaction with the enzyme is no longer possible. Hence, the chemical structure was further modified, including not only changes in the substituents but also within the core of the molecule. Docking experiments have been conducted to assure sufficiently high binding affinities and to obtain the most favored binding poses. Those have then again been used for dynamic simulations which resulted in structures, for which the bond formation process appeared feasible. A final series of QM/MM calculations considering various protonation states was computed to estimate the reaction energies for the covalent attachment of the inhibitor to the enzyme. The theoretical results indicate a reasonable high inhibition potency of the novel compounds.
The second part concentrates on the environmental influences on the electron density of an inhibitor molecule. Therefore, a vinylsulfone-based model compound was selected for which an experimental crystal structure for the pure compound as well as a theoretically determined enzyme-inhibitor complex have been available. To provide reference data for the larger systems, the conformational space of the isolated molecule was screened for favorable geometries which were later compared to those within the crystal and protein surrounding. The geometry of the crystal structure could readily be taken from the experimental data whereas calculations on the protein complex revealed four potential non-covalent complexes exhibiting different arrangements of the molecule within the active site of the protein as well as two possible protonation states of the catalytic dyad. Hence, all four protein complexes have been compared to the crystal structure of the molecule as well as against the more favorable geometries of the isolated molecule being determined within vacuum or aqueous surrounding. Whereas the molecule itself was found to adopt comparable geometries within all investigated environments, the interactions pattern between the crystal surrounding and the protein differed largely from each other. The favorable formation of dimers within the crystal has a strong stabilizing effect and explains the extraordinarily good quality of the crystal. Within the protein however, repulsive forces have been found between the protein and the inhibitor. The origin of the repulsion could be traced back to effect of on of the substituents to the vinyl scaffold. The difference in the chemical structure in comparison to a well known inhibitor might also explain the experimentally found loss of activity for the model compound in comparison to K11777.
Einwandige Kohlenstoffnanoröhren weisen aufgrund ihrer besonderen Struktur viele für ein rein kohlenstoffhaltiges Makromolekül ungewöhnliche Eigenschaften auf. Dies macht sie sowohl für die Erforschung grundlegender Phänomene in eindimensionalen Nanostrukturen als auch für potenzielle Anwendungen äußerst interessant. Da alle Atome einer SWNT Oberflächenatome sind, führt dies zu einer besonders ausgeprägten Empfindlichkeit ihrer elektronischen Eigenschaften auf Wechselwirkungen mit der Umgebung. Lokale zeitabhängige Änderungen in diesen Wechselwirkungen führen daher zu Phänomenen wie dem Photolumineszenz-Blinken und spektraler Diffusion. Die Erforschung und Kontrolle der Parameter, die für die Beeinflussung der elektronischen Eigenschaften von SWNTs durch Umgebungseinflüsse entscheidend sind, wird neben der spezifischen Synthese eine maßgebliche Rolle dabei spielen, ob und in welcher Form SWNTs in optoelektronischen Bauteilen zukünftig Anwendung finden. Die vorliegende Arbeit liefert einen Beitrag zum Verständnis dieser Wechselwirkungen, indem die Dynamik von Energietransferprozessen innerhalb von SWNTs und zwischen SWNTs untersucht wurde.
Im Rahmen dieser Arbeit wurden homogene und inhomogene Beiträge zur Linienverbreiterung von in einer Matrix eingebetteten SWNTs bestimmt. Dabei wurde erstmals beobachtet, dass die spektrale Diffusion sowohl bei Raumtemperatur als auch bei 17 K auf einer ultraschnellen Zeitskala, d. h. innerhalb von weniger als 1 ps abläuft. Mittels transienter Lochbrennspektroskopie konnte gezeigt werden, dass die homogene Linienbreite von (6,5)-SWNTs mit 3.6 meV nur den geringsten Beitrag zur Absorptionslinienbreite liefert, während die größte Verbreiterung mit mehr als 99 % inhomogen ist. Die inhomogene Linienbreite wurde aus inkohärenten 2D-Spektren, welche durch spektrale Lochbrennexperimente bei Variation der Anregungswellenlänge erhalten werden konnten, zu \(54\pm5\)meV bestimmt. Die Dynamik der spektralen Diffusion wird mit einer Exzitonendiffusion in einer durch lokale Umgebungswechselwirkungen verursachten inhomogenen Energielandschaft entlang der Nanorohrachse erklärt. Durch zeitaufgelöste Lochbrennexperimente unter nichtresonanter Anregung konnte gezeigt werden, dass die Populationsumverteilung innerhalb dieser Energielandschaft für eine energetisch abwärts gerichtete Relaxation ein spontaner Prozess ist. Im umgekehrten Fall ist sie dagegen thermisch aktiviert. Mögliche Einflüsse von Artefakten wurden anhand von Referenzmessungen diskutiert und die Bestimmung der homogenen Linienbreite durch komplementäre CW-Lochbrennexperimente ergänzt.
Durch Monte-Carlo-Simulationen konnten erstmals Informationen über die Form der Potenzialenergielandschaft entlang einer SWNT erhalten und die Größenordnung der Plateaubreite mit nahezu konstanter Energie innerhalb der Potenziallandschaft zu 5.8-18.2nm ermittelt werden. Dies gelang durch eine Kalibrierung der Simulationszeit anhand experimenteller transienter Absorptionsspektren. Im Rahmen dieses Modells wurde darüber hinaus die Zeit für einen Sprung zu einem benachbarten Gitterplatz der Energielandschaft zu 0.1 ps bestimmt.
Inter- und intraband-Relaxationsprozesse von SWNTs wurden mittels Photolumineszenzspektroskopie untersucht. Die Ergebnisse deuten auf eine temperaturunabhängige Effizienz der internen Konversion und die photostimulierte Generierung von Löschzentren hin. Anhand temperaturabhängiger PL-Messungen, die erstmals bei Anregung des \(S_1\)-Zustands durchgeführt wurden, konnte die Energiedifferenz zwischen dem hellen und dunklen Exziton für (6,5)-SWNTs im Rahmen des Modells eines Dreiniveausystems zu \(\delta = (3.7\pm0.1)\)meV bestimmt werden. Aus der guten Übereinstimmung des temperaturabhängigen Trends der PL-Intensität unter \(S_1\)-Anregung mit in früheren Studien erhaltenen Ergebnissen unter \(S_2\)-Anregung konnte geschlussfolgert werden, dass die Effizienz der internen Konversion nicht ausgeprägt temperaturabhängig ist. Für SWNT-Gelfilme wurde unter \(S_2\)-Anregung eine deutliche Abweichung zur \(S_1\)-Anregung in Form eines Bleichens der Photolumineszenz beobachtet. Dieses Phänomen ist in der Literatur wenig diskutiert und wurde daher in leistungsabhängigen PL-Experimenten weiter untersucht. Dabei wurde für die \(S_2\)- im Vergleich zur \(S_1\)-Anregung eine stärker ausgeprägte sublineare Leistungsabhängigkeit gefunden. Die Abweichung vom linearen Zusammenhang der PL-Intensität mit der Leistung trat hier schon bei um eine Größenordnung geringeren Leistungsdichten auf als in früheren Studien und kann mit einer Exziton-Exziton-Annihilation allein nicht erklärt werden. Möglicherweise ist die Öffnung zusätzlicher Zerfallskanäle durch metastabile Löschzentren für dieses Verhalten verantwortlich. Die PL-Experimente zeigten zudem ein zeitabhängiges irreversibles Bleichen unter \(S_2\)-Anregung, welches bei 30 K stärker ausgeprägt war als bei Raumtemperatur. Dessen Abhängigkeit von der eingestrahlten Photonenzahl lässt auf eine Akkumulation von Löschzentren schließen. Daher wird eine mögliche Redoxreaktion mit Wasser, ausgelöst durch die intrinsische p-Dotierung der SWNTs, als Quelle der Löschzentren diskutiert.
Das Verzweigungsverhältnis für die Relaxation nach \(S_2\)-Anregung von SWNTs wurde in Form der relativen Quantenausbeute bestimmt und eine nahezu quantitative interne Konversion des \(S_2\)-Exzitons gefunden. Dieses Ergebnis hat eine wichtige Bedeutung für potenzielle Anwendungen von SWNTs in der Photovoltaik, da die Verluste durch die interband-Relaxation bei einer Anregung des zweiten Subband-Exzitons <3% zu sein scheinen. Die Herausforderung des Experiments wird hier durch die geringe Stokes-Verschiebung von SWNTs verursacht, die eine quantitative Trennung von PL- und Streulicht unmöglich macht. Daher wurde ein Aufbau realisiert, in dem ein großer Teil des Streulichts bereits räumlich entfernt wird und die PL unter \(S_1\)- bzw. \(S_2\)-Anregung quantifizierbar und ohne eine Annahme über Streulicht-Anteile direkt vergleichbar ist. Sowohl für SDS- als auch für Polymer-stabilisierte SWNTs wurde eine relative Quantenausbeute von \(\xi \approxeq 1\) erhalten, was eine nahezu quantitative interne Konversion von \(S_2\)- zu \(S_1\)-Exzitonen innerhalb der PL-Lebensdauer nahelegt.
Anregungsenergietransferprozesse zwischen Kohlenstoffnanoröhren in mono- und bidispersen SWNT-Netzwerkfilmen definierter Zusammensetzung wurden mittels zeitaufgelöster Polarisationsanisotropie untersucht. Dabei wurden neben einem ultraschnellen Energietransfer in weniger als 1 ps auch Hinweise auf Beiträge des \(S_2\)-Exzitons an diesem Prozess gefunden. Die Ergebnisse der Experimente mit bidispersen SWNT-Netzwerkfilmen bestätigen den auch in PLE-Spektren beobachteten energetisch abwärts gerichteten Energietransfer von SWNTs mit großer zu solchen mit kleiner Bandlücke und liefern darüber hinaus eine Zeitskala von weniger als 1 ps für diesen Prozess. Die umgekehrte Transferrichtung konnte weder aus dem \(S_1\)- noch aus dem \(S_2\)-Exziton beobachtet werden. Eine Beschleunigung der Anisotropiedynamik bei \(S_2\)- im Vergleich zu S\uu1-Anregung deutet auf einen Beitrag des \(S_2\)-Exzitons am Energietransferprozess in Konkurrenz zur internen Konversion hin. Durch Referenzexperimente mit monodispersen Netzwerkfilmen konnte eine Beteiligung von Energietransferprozessen zwischen SWNTs der gleichen Chiralität auf einer Zeitskala von 1-2ps nachgewiesen werden. Dadurch konnten Beobachtungen von zeitabhängigen Anisotropieänderungen, die einen energetisch aufwärts gerichteten Energietransfer suggerieren, mit einem intra-Spezies-Transfer erklärt werden - Hinweise auf energetisch aufwärts gerichtete EET-Prozesse wurden nicht gefunden. Eine wichtige Erkenntnis aus diesen Experimenten ist die Tatsache, dass die Überlappung von Signalbeiträgen zu einer Verfälschung der Anisotropie und damit zu fehlerhaften Interpretationen führen kann. Darüber hinaus wurde auf den Einfluss der Probenheterogenität und der Alterung von SWNT-Netzwerkfilmen hingewiesen. Diese Untersuchungen legen nahe, dass ein effizienter Exzitonentransfer in SWNT-Netzwerkfilmen auch zwischen den einzelnen Röhrensträngen erfolgen kann und es somit möglich ist, die Effizienz entsprechender Solarzellen zu verbessern.
Im letzten Teil der Arbeit wurden erstmals transiente Absorptionsexperimente im Femtosekundenbereich mit SWNTs unter \(Gate-Doping\) durchgeführt. In ersten Experimenten konnte gezeigt werden, dass analog zur chemischen Dotierung von SWNTs die Dynamik des \(S_1\)-Bleichens eines (6,5)-SWNT-Netzwerkfilms nach \(S_2\)-Anregung unter \(Gate-Doping\) eine Beschleunigung durch zusätzliche Zerfallskanäle erfährt. Die elektrochemische Bandlücke wurde für (6,5)-Nanoröhren zu 1.5 eV bestimmt. Eine Verringerung der Photoabsorptionsamplitude mit zunehmendem Potenzial lässt Vermutungen über die Natur dieses in transienten Absorptionsexperimenten beobachteten PA-Merkmals in Form der Absorption einer dotierten SWNT-Spezies zu. Diese Untersuchungen liefern erste Einblicke in die Art und Weise, wie eine elektrochemische Modifizierung von SWNTs die elektronische Bandstruktur und Ladungsträgerdynamik verändert.
Zahlreiche theoretische und experimentelle Untersuchungen haben erwiesen, dass in halbleitenden Kohlenstoffnanoröhren durch Absorption von Licht hauptsächlich Exzitonen erzeugt werden. Die photophysikalischen Eigenschaften und insbesondere die Prozesse nach der optischen Anregung sind aber gegenwärtig noch nicht vollständig verstanden. Zeitaufgelöste Spektroskopie bietet die Möglichkeit, diese Prozesse zu verfolgen und somit detaillierten Einblick in das photophysikalische Verhalten von Kohlenstoffnanoröhren zu nehmen. Hierbei scheinen auch extrinsische Faktoren - zu nennen sind die Herstellungsmethode, die Art der Probenpräparation, der Aggregationsgrad sowie der durch das Lösungs- bzw. Dispersionsmittel bedingte Einfluss - eine entscheidende Rolle zu spielen.
In dieser Dissertation wurden die Exzitonengröße sowie die exzitonische Dynamik in einwandigen Kohlenstoffnanoröhren mittels transienter Absorptionsspektroskopie sowie stationärer und zeitaufgelöster Photolumineszenzmessungen untersucht. Alle Experimente fanden dabei an halbleitenden (6,5)-Kohlenstoffnanoröhren statt, deren chirale Anreicherung durch Dichtegradientenultrazentrifugation gelang. Für die temperaturabhängigen Messungen wurde ein Verfahren zur Herstellung von tensidstabilisierten Gelatinefilmen entwickelt. Diese zeichnen sich durch eine hohe Temperaturstabilität bei gleichzeitiger Minimierung von Streulichteffekten aus.
Die Bestimmung der Exzitonengröße erfolgte mit Hilfe des Phasenraumfüllmodells, das die intensitätsabhängige Änderung der Oszillatorstärke eines Übergangs mit der Exzitonengröße verknüpft. Hierfür wurden leistungsabhängige Messungen der transienten Absorption durchgeführt und die Signalintensität des Photobleichens gegen die absorbierte Photonenflussdichte aufgetragen. Da diese beiden Größen nur bei geringer Exzitonendichte in einer linearen Beziehung stehen, aus der sich die Exzitonengröße berechnen lässt, wurde im Experiment besonderer Wert auf niedrige Anregungsfluenzen und deren exakte Bestimmung gelegt. Um den Einfluss der Aggregation quantifizieren zu können und den Vergleich mit der Literatur zu erleichtern, fanden die Untersuchungen sowohl an individualisierten als auch an aggregierten Röhrenproben statt. Die Datenanalyse, bei der erstmalig die stimulierte Emission sowie der spektrale Überlapp von Photoabsorptions- und Photobleichbande Berücksichtigung fanden, ergab für individualisierte (6,5)-Nanoröhren einen Wert von 12.0 nm für die Größe des S1-Exzitons, während diese bei der aggregierten Röhrenprobe nur 5.6 nm beträgt. Die Probenabhängigkeit der Exzitonengröße macht den Vergleich mit anderen experimentell ermittelten Werten schwierig. Diese liegen fast ausschließlich zwischen 1 nm und 4.5 nm, ihre Bestimmung fand aber teilweise an stark aggregierten bzw. polydispersen Proben statt. Theoretische Berechnungen liefern für die Exzitonengröße Werte zwischen 1 nm und 4 nm. Zwar gelten einige der Berechnungen für Vakuum, was verglichen zu einer experimentell in Lösung bzw. im Film bestimmten Exzitonengröße einen kleineren Wert mit sich bringt, jedoch kann allein hierdurch die Diskrepanz zu der in dieser Arbeit ermittelten Exzitonengröße von 12.0 nm nicht erklärt werden. Setzt man experimentell und theoretisch für Vakuum bestimmte Werte für die Exzitonengröße und die Bindungsenergie in einen einfachen Zusammenhang, entspricht eine Exzitonengröße von 12.0 nm einer Bindungsenergie zwischen 0.21 eV und 0.27 eV. Die mittels Zweiphotonenexperimenten ermittelten Werte für die Bindungsenergie von (6,5)-Kohlenstoffnanoröhren befinden sich zwischen 0.37 eV und 0.42 eV; diese wurden allerdings unter Zuhilfenahme eines vereinfachten zylindrischen Modells abgeschätzt. Weitere experimentelle und theoretische Untersuchungen könnten klären, inwieweit eine exzitonische Bindungsenergie zwischen 0.21 eV und 0.27 eV für (6,5)-SWNTs in Betracht kommt.
Strahlender und nichtstrahlender Zerfall in den Grundzustand scheinen in (6,5)-Kohlenstoffnanoröhren durch eine Dynamik zwischen verschiedenen Zuständen sowie durch die Diffusion der Exzitonen beeinflusst zu werden. Um diese für die Rekombination maßgeblichen Prozesse besser zu verstehen, wurden temperaturabhängige Messungen der stationären und zeitaufgelösten Photolumineszenz sowie der transienten Absorption durchgeführt. Die Ergebnisse der stationären PL-Experimente deuten darauf hin, dass die Exzitonen zwischen dem optisch aktiven Singulettzustand mit A2-Symmetrie - im Folgenden mit [B] bezeichnet - und einem energetisch tiefer liegenden dunklen Zustand [D] gestreut werden. Mit einem Wert von 5 meV für die energetische Aufspaltung zwischen [B] und [D] gelingt eine gute Anpassung an die Daten, was mit Blick auf die Bandstruktur von (6,5)-SWNTs vermuten lässt, dass es sich bei [D] um den A1-Singulettzustand handelt. Außerdem scheint eine nichtthermische Verteilung der Exzitonen auf [B] und [D] vorzuliegen, wobei strahlende Rekombination nur vom Zustand [B] aus möglich ist. Mit diesen Annahmen kann das temperaturabhängige Verhalten der stationären Photolumineszenz modelliert werden, die Ergebnisse der zeitaufgelösten PL-Messungen jedoch nicht. Mit einem rein diffusionsdominierten Modell gelingt dies ebenso wenig, so dass zur Interpretation des PL-Zerfalls vermutlich ein Modell entwickelt werden muss, in dem sowohl die Streuung der Exzitonen zwischen [B] und [D] als auch das durch Diffusion bedingte Löschen an Defektstellen oder Röhrenenden Berücksichtigung findet. Die Bedeutung der Diffusion von Exzitonen zu Defektstellen oder Röhrenenden, an denen bevorzugt nichtstrahlender Zerfall stattfindet, kann durch spektral- und zeitaufgelöste PL-Messungen belegt werden. Abhängig von der zur Verfügung stehenden thermischen Energie und der Höhe der Potenzialbarrieren des untersuchten Systems kann die Diffusion niederenergetischer Exzitonen, die sich in Potenzialminima befinden, soweit eingeschränkt werden, dass diese eine fast bis um den Faktor zwei längere PL-Lebensdauer aufweisen als höherenergetische Exzitonen. Das unterschiedliche Verhalten von transienter Absorption und zeitaufgelöster Photolumineszenz bei Temperaturen zwischen 14 K und 35 K zeigt, dass die Repopulation des Grundzustands hauptsächlich von einem anderen Zustand aus erfolgt als die strahlende Rekombination. Ob es sich hierbei aber um den mit [D] bezeichneten A1-Singulettzustand oder einen anderen dunklen Zustand handelt, kann nicht abschließend geklärt werden.
Aufgrund inhomogener Verbreiterung stellt die Halbwertsbreite der Banden im Absorptionsspektrum ein Maß für die Höhe der Potenzialbarrieren bzw. für die energetische Verteilung der Exzitonen im angeregten Zustand dar. In dieser Arbeit wurde anhand vier verschiedener Nanorohrsuspensionen gezeigt, dass Sättigungsverhalten der transienten Absorption von (6,5)-Kohlenstoffnanoröhren und Bandenbreite im Absorptionsspektrum demselben Trend folgen. Begründen kann man dies damit, dass das Sättigungsverhalten der transienten Absorption durch Exziton-Exziton-Annihilation bestimmt wird. Aufgrund ihrer eindimensionalen Struktur unterliegen Kohlenstoffnanoröhren einer starken Beeinflussung durch die Umgebung. Abhängig vom Lösungs- bzw. Dispersionsmittel resultiert eine unterschiedliche inhomogene Verbreiterung der Absorptionsbanden und damit unterschiedlich hohe Potenzialbarrieren im angeregten Zustand. Niedrige Potenzialbarrieren erlauben eine weitreichende Diffusion der Exzitonen, sodass effiziente Exziton-Exziton-Annihilation schon bei einer vergleichsweise geringen Exzitonendichte stattfindet und das Signal der transienten Absorption bei einer niedrigen Impulsfluenz sättigt.
In summary, we have prepared single-wall carbon nanotube (SWNT) thin films by the method of evaporation-induced self-assembly (EISA). Using the scalable two-plate or lens setups, sorts of different film types or patterns of SWNTs has been successfully fabricated directly from the evaporation of solvents and could be precisely controlled by the concentrations of SWNT in ambient conditions. The special geometry of meniscus as the capillary bridge has not only given rise to a much higher efficiency of fabrication than what previously reported but also allowed us to monitor the pinning and depinning process carefully and further investigate the mechanism underlying the formation of different film morphologies.
In contrast with the conventional "stick-slip" model, we have provided the new dynamical pinning and zipping model for the contact line (CL) behavior. By analyzing the motion of CL and varying deposited patterns, the traditionally so-called "stick" state should be treated as a dynamical pinning process due to the interfacial tension contrast between SWNT-covered and bare silicon surface. Besides, the plausible one-step "slip" motion could be dominated by the zipping-like kink propagation.
In addition, the experiments with heated substrates at higher temperatures between 30°C and 50 °C have shown that the striped pattern could be fabricated by both much lower SWNT and SDS concentrations than that in room temperature, which is consistent with our model of interfacial tension contrast. In this situation, the deposition rate was increased but the quality of SWNT alignment was undermined because the corresponding moving velocity of SWNT was also too fast for SWNTs to rotate when the evaporative rate was high.
The similar results were identified by the SWNT/polymer conjugates dispersed in chloroform under the similar setups and other identical conditions. The typical breathing motion of dynamical pinning and zipping-like propagation for depinning were confirmed by the new suspensions despite that some morphological parameters changed dramatically compared with that from the aqueous solution. For example, the spacing between stripes reached 100 µm ~ 200 µm because the large contact angle contrast between HDMS- and SWNT-covered surface accompanies with the high evaporation rate of chloroform in the pinning and depinning process. Likewise the average CL velocity for fabrication reached around 20 µm/s due to the much higher evaporation rate of chloroform than water.
Using alike suspensions, the modified EISA method called dose-controlled floating evaporative self-assembly (DFES) was employed to implement the self-assembly of SWNTs on the water/air interface and then deposit them on solid substrate by directed floating. Although the stripes were fabricated successfully by drops with certain doses and SWNT concentrations, there inevitably existed randomly oriented SWNTs from the water surface that built networks between the stripes containing well-aligned tubes. In order to slow down the evaporation rate and monitor the process detailedly, we used chlorobenzene as the solvent instead of chloroform and find the typical pinning/depinning movement of the CL. A preliminary analysis of the results in terms of chlorobenzene implied that the CL possibly followed the similar pinning/depinning process in consistence with our model with capillary bridge.
In the last part of the thesis, the primary research on the optical properties of these stripes of ultrahigh purity semiconducting nanotubes was conducted by fluorescence microscopy and photoluminescence excitation (PLE) spectroscopy. The energy transfer of the photogenerated excitons was confirmed between different tube species with controlled band gaps.
In short, the experiments performed in this thesis allowed to gain new insights about the fabrication of large-area SWNT thin films by the cost-effective solution-processed method and most importantly to uncover its intrinsic mechanism as well. Combined with the separation and selection technique like density gradient centrifugation or polyfluorene derivatives assisted method, highly monodisperse semiconducting nanotubes could be deposited into organized, controllable and functional arrays.
Beyond the ambient conditions, precise control for the evaporation under preset temperature and vapor pressure could possibly extend the technique to the industry level. Assisted by some other mature techniques such as roll-to-roll printing, the cost-effective method could be widely used in the manufacture of various thin film devices. More complex 2D or even 3D structures could be designed and accomplished by the method for the functional or stretchable requirements. Further research on the fundamental exciton transition and diffusion in different networks or structures of SWNTs will be the significant precondition for the real applications.
Looking ahead, from the individual carbon nanotube to its thin film, this promising material with outstanding properties had many challenges to overcome before the real-world applications. Thanks to the availability of pure and well-defined materials, the scalable solution-processed approaches for fabrication of thin films should be able to unlock the potential of carbon nanotubes and exploit them in (opto-)electronic devices in the foreseeing future.
A series of combustion relevant species like radicals, carbenes and polycyclic aromatic hydrocarbons were characterized in the gas phase by vacuum UV synchrotron radiation and their ionization energies (IE) and further spectroscopic details of the respective cations were retrieved from threshold photoelectron spectra. The reactive intermediates were generated by flash vacuum pyrolysis from stable precursor molecules. Furthermore three polycyclic aromatic hydrocarbons were investigated by threshold photoelectron spectroscopy, too. The experiment was performed at the VUV beamline of the Swiss Light Source in Villigen/Switzerland and the iPEPICO (imaging photoelectron photoion coincidence) setup was applied to correlate ions and electrons from the same ionization event. From the threshold photoelectron spectra and from quantum chemical computations the vibrational structure of the molecule cations and the geometry changes upon ionization were assigned. The ionization energies of the two C4H5 isomers 2-butyn-1-yl and 1-butyn-3-yl were assigned to 7.94±0.02 eV and 7.97±0.02 eV, respectively. The isomerization between the two isomers was computed to have a barrier of 2.20 eV, so a rearrangement between the two radicals cannot be excluded. From the threshold photoelectron spectra of the two constitutional C4H7 isomers 1-methylallyl and 2-methylallyl the ionization energies were assigned to 7.48±0.02 eV and to 7.59±0.02 eV for 1-E-methylallyl and 1-Z-methylallyl, as well as to 7.88±0.01 eV for 2-methylallyl. The two radicals 9-fluorenyl, C13H9, and benzhydryl, C13H11, were observed to ionize at 7.01±0.02 eV and 6.7 eV. The threshold photoelectron spectrum of benzhydryl also incorporated the signal of the diphenylmethyl carbene, C13H10, which has an IE at 6.8 eV. In addition, the head-to-head dimers of 9-fluorenyl and benzhydryl were observed as products in the pyrolysis. C26H18 has an IE at 7.69±0.04 eV and C26H22 has an IE at 8.13±0.04 eV. The three polycyclic aromatic hydrocarbon DHP (C14H16) 1-PEN (C18H22) and THCT (C22H16) were investigated in an effusive beam. The ionization energies were determined to IE(DHP)= 7.38±0.02 eV, IE(1-PEN)=7.58±0.05 eV and IE(THCT)=6.40±0.02 eV. Furthermore the thermal decomposition and the dissociative photoionization of diazomeldrum’s acid was investigated. The pyrolysis products yielded beside several other products the two not yet (by photoelectron spectroscopy) characterized molecules E-formylketene, C3O2H2 and 2-diazoethenone, N2C2O. The dissociative photoionization showed the Wolff rearrangement to occur at higher internal energies.