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Energy Transfer Between Squaraine Polymer Sections: From helix to zig-zag and All the Way Back
(2015)
Joint experimental and theoretical study of the absorption spectra of squaraine polymers in solution provide evidence that two different conformations are present in solution: a helix and a zig-zag structure. This unique situation allows investigating ultrafast energy transfer processes between different structural segments within a single polymer chain in solution. The understanding of the underlying dynamics is of fundamental importance for the development of novel materials for light-harvesting and optoelectronic applications. We combine here femtosecond transient absorption spectroscopy with time-resolved 2D electronic spectroscopy showing that ultrafast energy transfer within the squaraine polymer chains proceeds from initially excited helix segments to zig-zag segments or vice versa, depending on the solvent as well as on the excitation wavenumber. These observations contrast other conjugated polymers such as MEH-PPV where much slower intrachain energy transfer was reported. The reason for the very fast energy transfer in squaraine polymers is most likely a close matching of the density of states between donor and acceptor polymer segments because of very small reorganization energy in these cyanine-like chromophores.
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.
The aim of the present work is the development and implementation of new simulation
possibilities for the CAST program package. Development included, among other
things, the partial parallelization of the already existing force fields, extension of the
treatment of electrostatic interactions and implementation of molecular dynamics and
free energy algorithms.
The most time consuming part of force field calculations is the evaluation of the nonbonded
interactions. The calculation of these interactions has been parallelized and
it could be shown to yield a significant speed up for multi-core calculations compared
to the serial execution on only one CPU. For both, simple energy/gradient as well as
molecular dynamics simulations the computational time could be significantly reduced.
To further increase the performance of calculations employing a cutoff radius, a linkedcell
algorithm was implemented which is able to build up the non-bonded interaction
list up to 7 times faster than the original algorithm.
To provide access to dynamic properties based on the natural time evolution of a system,
a molecular dynamics code has been implemented. The MD implementation features
two integration schemes for the equations of motion which are able to generate stable
trajectories. The basic MD algorithm as described in Section 1.2 leads to the sampling
in the microcanonical (NVE) ensemble. The practical use of NVE simulations is limited
though because it does not correspond to any experimentally realistic situation.
More realistic simulation conditions are found in the isothermal (NVT) and isothermalisobaric
(NPT) ensembles. To generate those ensembles, temperature and pressure
control has been implemented. The temperature can be controlled in two ways: by direct
velocity scaling and by a Nose-Hoover thermostat which produces a real canonical
ensemble. The pressure coupling is realized by implementation of a Berendsen barostat.
The pressure coupling can be used for isotropic or anisotropic box dimensions with the
restriction that the angles of the box need to be 90. A crucial simulation parameter in
MD simulations is the length of the timestep. The timestep is usually in the rang of 1fs.
Increasing the timestep beyond 1fs can lead to unstable trajectories since the fastest
motion in the system, usually the H-X stretch vibration can not be sampled anymore.
A way to allow for bigger timesteps is the use of a constraint algorithm which constrains the H-X bonds to the equilibrium distance. For this the RATTLE algorithm has been
implemented in the CAST program. The velocity Verlet algorithm in combination with
the RATTLE algorithm has been shown to yield stable trajectories for an arbitrary
length of simulation time. In a first application the MD implementation is used in conjunction
with the MOPAC interface for the investigation of PBI sidechains and their
rigidity. The theoretical investigations show a nice agreement with experimentally obtained
results. Based on the MD techniques two algorithms for the determination of free
energy differences have been implemented. The umbrella sampling algorithm can be
used to determine the free energy change along a reaction coordinate based on distances
or dihedral angles. The implementation was tested on the stretching of a deca-L-alanine
and the rotation barrier of butane in vacuum. The results are in nearly perfect agreement
with literature values. For the FEP implementation calculations were performed
for a zero-sum transformation of ethane in explicit solvent, the charging of a sodium
ion in explicit solvent and the transformations of a tripeptide in explicit solvent. All
results are in agreement with benchmark calculations of the NAMD program as well
as literature values. The FEP formalism was then applied to determine the relative
binding free energies between two inhibitors in an inhibitor-protein complex.
Next to force fields, ab-initio methods can be used for simulations and global optimizations.
Since the performance of such methods is usually significantly poorer than force
field applications, the use for global optimizations is limited. Nevertheless significant
progress has been made by porting these codes to GPUs. In order to make use of these
developments a MPI interface has been implemented into CAST for communication
with the DFT code TeraChem. The CAST/TeraChem combination has been tested
on the $H_2 O_{10}$ cluster as well as the polypeptide met-Enkephalin. The pure ab-initio
calculations showed a superior behavior compared to the standard procedure where the
force field results are usually refined using quantum chemical methods.
Part 1 of this work describes the development of accurate physically grounded force fields for
intermolecular Cation-π interactions based on SAPT energy decomposition analysis.
The presented results demonstrate the benefits of the used DFT-SAPT method to describe non-bonding
interactions. First of all, this method is able to reproduce the high level CCSD(T) energy values
but using much less computational time. Second it provides the possibility to separate the total
intermolecular interaction energy into several physically meaningful contributions. The relative
contributions of the dimers investigated can be seen in Fig. 6.16. In Tab. 6.3 the percentage
contribution of the attractive energy parts to the stabilization energy is shown. The polarization
energy is important for the NH+...C6H6 interaction, whereas it becomes less crucial
considering other dimers. The dispersion energy contribution is large in the case of
the C6H6...H2O dimers, whereas it is relatively less important for the NH+...C6H6
interaction. The electrostatic energy contributes a large amount of stabilizing energy
in all considered dimer interactions. ...
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.
The photoionization of several nitrogen-containing reactive intermediates relevant in combustion processes was investigated in the gas phase employing VUV synchrotron radiation. The intermediates were either freshly prepared and stored under cryogenic temperatures during the experiment or generated in situ by vacuum flash pyrolysis of suitable precursor molecules. The iPEPICO (imaging photoelectron photoion coincidence) setups of the VUV beamlines at the Swiss Light Source and Synchrotron SOLEIL were then used to record mass-selected threshold photoelectron (TPE) spectra. TPE spectra reveal the ionization energy and vibrational structure in the cationic states can often be resolved, which enables to distinguish different isomers. Accurate ionization energies for the radicals carbonyl amidogen, pyrrolyl, and 3-picolyl, and for the closed shell molecules isocyanic acid and cyanovinylacetylene were obtained. The analysis of the dissociative photoionization of the pyrolysis precursors enables in some cases to retrieve thermochemical data. Beyond, the absolute photoionization cross section of the cyclic carbene cyclopropenylidene was determined, NEXAFS and normal Auger spectra of isocyanic acid were recorded and analyzed at the O1s, N1s, and C1s edges, and the dissociative photoionization and pyrolysis of 1,4-di-tert-butyl-1,4-azaborinine was studied.
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.
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.
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.
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.
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.