540 Chemie und zugeordnete Wissenschaften
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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.
In the context of this dissertation very long ranged exciton diffusion lengths (LD) were simulated for perylene-based materials under ideal conditions. This leads to the conclusion that the short LD values in existing materials result from an extrinsic and intrinsic immobilization. The latter, which is a specific material property, is based on a relaxation of the exciton into self-trapping states. An in-depth understanding of the atomistic processes defining self-trapping is essential to developing materials with long LD in the future, in which intrinsic immobilization is prevented. For the development of such a mechanistic understanding it is crucial that a clear relationship between molecular structure and LD is available. This is given by single crystals of diindeno perylene (DIP) and α-perylene tetracarboxylic anhydride (α-PTCDA). An extraordinary large LD of 90 nm was measured for the first one, while the latter possesses only 22 nm. Part of this thesis was to deliver reasons for this discrepancy. Only self-trapping comes into question to explain the different LD values. One reason for the different self-trapping in DIP and α-PTCDA could lie in the electronic structure. However, it was possible to demonstrate that a wide range of perylene-based materials possess no significant differences in their electronic structures. Consequently, such differences can be neglected for the explanation of immobilization mechanisms for the exciton. A further possible explanation could be polarization effects in the crystal, which influences the electronic structure of perylene based materials differently. Especially their influence on charge transfer (CT) states, which are located above the optically bright Frenkel state, was in question because such states could be stabilized by a polarizable surrounding. A significant influence of polarization effects on all considered states were excluded by using a polarizable continuum model. Hence, the small LD values in α-PTCDA are an evidence for self-trapping, which produces a crystal structure built up by π-stacks, while the one of DIP is of herringbone type. Since polarization effects can be neglected, is the dimer only via steric restrictions influenced by the crystal. Hence, a method describing self-trapping has to consider such effects, so that a mechanical embedding QM/MM approach is sufficient. Now, potential energy surfaces were calculated, on which wave packet dynamics were subsequently performed. In this way, atomistic mechanisms for the immobilization of excitons were described for the first time in organic materials. Self-trapping was studied in crystals of α-PTCDA by potential energy surfaces, which map an intermolecular shift motion of the dimer in the crystal. An immobilization of excitons occurs within 500 fs, which results from an irreversible energy loss together with a local deformation of the crystal lattice. This prevents a further transport of the exciton. In the case of DIP, this immobilization does not proceed due to high barriers. These barriers result from the herringbone type packing motif in the DIP crystal. This discrepancy in the dynamics explains the different LD values in DIP and α-PTCDA. In a further example, an exciton immobilization was found in helical π-aggregates of perylene tetracarboxylic bisimide (PBI) molecules. Self-trapping is caused by a relaxation mechanism, in which the exciton is transferred by asymmetric vibrations of the aggregate from the bright to a dark Frenkel state within 200 fs, whereby the transition is mediated by a CT state. However, the CT state is almost non-populated during the whole mechanism so that its participation could not yet be proven experimentally. This entire procedure is solely possible in helical aggregates, because only for such structures is there a CT state located next to the bright Frenkel state. At the final Frenkel state a torsional motion around the π-stacking axis is possible so that the loss in energy and the local rearrangement of the aggregate structure occurs, which means a self-trapping of the exciton. This mechanism is in perfect agreement with all available experimental data. These insights allow the conclusion that in future materials for organic solar cells an irreversible and ultrafast deformation of aggregates after photo-absorption must be avoided. Only in this way long LD values can be achieved and exciton self-trapping can be prevented. However, small LD values are always predicted in helical aggregates of perylene-based materials, because exciton immobilization occurs already due to small molecular motions. For this reason such aggregates are inappropriate for the use in organic solar cells. Long LD values are expected for aggregate structures with long intermolecular shifts or molecules with bulky substituents.
Light-induced excitation of matter proceeds within femtoseconds, resulting in excited states. Originating from these states chemical reaction mechanisms, like isomerization or bond formation, set in. Photophysical mechanisms like energy distribution and excitonic delocalization also occur. Thus, the reaction scheme has to be disentangled by assessing the importance of each process. Spectroscopic methods based on fs laser pulses have emerged as a versatile tool to study these reactions. Within this thesis time-resolved experiments with fs laser pulses on various molecular systems were performed. Novel photosystems, with possible applications ranging from ultrathin molecular wires to molecular switches, were extensively characterized. To resolve the complex kinetics of the investigated systems, time-resolved techniques had to be newly developed. By combining a visible excitation pulse pair with an additional pulse and a continuum probe electronic triggered-exchange two-dimensional spectroscopy (TE2D) was demonstrated for the first time. This goal was accomplished by combining a three-color transient-absorption setup with a pulse shaper. Hence, 2D spectroscopy with a continuum probe was also implemented. Using these methods two different molecular systems in solution were characterized in a comprehensive manner. (ZnTPP)2, a directly beta,beta’-linked Zn-metallated bisporphyrin, and a spiropyran-merocyanine photosystem, 6,8-dinitro BIPS, were characterized. (ZnTPP)2 is a homodimer, featuring strong excitonic effects. These manifest themselves in a twofold splitting of the Soret band (S2). 6,8-Dinitro BIPS exists in one of two possible conformations. The ring closed spiropyran absorbs only in the UV, while the ring open merocyanine also absorbs in the visible. For both molecular systems photodynamics upon illumination were monitored using transient-absorption. However, the obtained results were ambiguous, necessitating more complex methods. In the case of (ZnTPP)2 first the monomeric building block was characterized. There, population transfer from the S2 state into S1 within 2 ps was identified. Afterwards, intersystem crossing proceeds within 2 ns. For (ZnTPP)2 similar pathways were found, albeit the relaxation is faster. The intersystem crossing with 1.5 ns was not only indirectly deduced but directly measured by probing in the NIR spectral range. The excitonic influence of was investigated by coherent 2D spectroscopy in the Soret band. Population transfer within S2 was directly visualized on a time-scale of 100 fs. Calculation of the 2D spectra of a simple homodimer confirmed the results. After this analysis of the distinct excitonic character, this molecule may serve as a building block for larger porphyrin arrays with applications ranging from asymmetric catalysis over biomimicry of electron-transfer to organic optical devices. The second photosystem was the molecular switch 6,8-dinitro BIPS, existing in two conformations. Merocyanine is the more stable form in thermal equilibrium. Transient-absorption measurements uncovered that the sample consisted of a mixture of two merocyanine isomers, referred to as TTC and TTT. However, both isomers are capable of ring-closure forming spiropyran. The remaining excited molecules return to the ground state radiatively. Conducting 2D measurements utilizing a continuum probe the differing photochemistry of both isomers was examined in a single measurement. No isomerization between these conformations was detected. Therefore, 6,8-dinitro BIPS performs a concerted switching without long-living intermediates. This was confirmed by a pump-repump-probe scan. 6,8-DinitroBIPS can be closed by visible and opened by UV pulses using subsequent pulses and vice versa. These mechanisms via singlet pathways satisfy an important criterion for a unimolecular switching device. A second pump-repump-probe experiment showed that the sample is ionized, resulting in a merocyanine radical cation, when the first excited state is resonantly excited. Furthermore, by implementing TE2Dspectroscopy, it was elucidated that only TTC was ionized. Taking all this into account new techniques were developed and complex molecular systems were characterized within this thesis. Deeper insight into the photodynamics of (ZnTPP)2and 6,8-dinitro BIPS was gained by adapting transient absorption for the NIR spectral range, constructing a 2D setup in pump-probe geometry, and combining it with multipulse excitation to coherent TE2D. All techniques solved the questions for which they were constructed, but they are not limited to these cases. Especially TE2D opens new roads in photochemistry. By connecting reactant, product and the corresponding intermediates, a chemical reaction can be tracked through all stages, making unambiguous identification of the reactive states feasible. Thus, fundamental insight into the photochemistry of molecular compounds is gained.
Im ersten Teil wurde die Dynamik des ersten angeregten Zustandes von drei Truxenonen untersucht. Nach Anregung im sichtbaren Bereich findet ein Elektrontransfer zwischen den Triarylamin-Donor und dem Truxenon-Akzeptor statt. Um die Abhängigkeit der Rate für den Rücktransfer von der elektronischen Kopplung zu untersuchen, wurde diese zum einen über den Abstand zwischen Donor und Akzeptor und zum anderen über die Position der Verknüpfung eingestellt. In einer ersten Studie wurde Truxenon 1, bei dem der direkt über das Stickstoff-Atom an den Akzeptor gekuppelt ist, mit dem System 2 verglichen, bei den die Einheiten über einen Phenyl-Spacer verbunden sind. Der Rücktransfer sollte dabei für das System 1 schneller sein, da ein kurzer Abstand mit einer starken elektronischen Kopplung einhergeht und damit auch mit einem schnellen Elektronentransfer. Allerdings wird die große Rate für das System mit dem größeren Abstand beobachtet (2). Dieses Ergebnis kann mit der Geometrie der Moleküle und der größeren sterischen Hinderung in 1 erklärt werden, aus der eine geringere elektronische Kopplung resultiert. In einem weiteren Experiment wurde die Stärke der elektronischen Kopplung in Abhängigkeit von der Position der Verknüpfung in Bezug auf den Phenyl-Spacer untersucht. Zu diesem Zweck wurden die Systeme 2 und 3 miteinander verglichen. Während in 2 die Einheiten in para-Position verknüpft sind, sind Donor und Akzeptor in 3 in meta-Position an den Phenyl-Spacer gekuppelt. Letzteres System zeichnet sich dabei durch eine geringere Resonanzstabilisierung aus. Dies hat eine geringere elektronische Kopplung zur Folge, was sich auch in den UV/Vis-Spektren zeigt. Die langwelligste Absorption ist hier bei höheren Energien zu beobachten. Zudem deuten die transienten Spektren an, dass in erster Linie nicht der ladungsgetrennte Zustand abgeregt wird sondern vielmehr die Truxenon-Einheit selbst. Im zweiten Teil wurden die Resonanz-Raman-Spektren vier verschiedener Borole aufgenommen. Dabei wurden zwei signifikanten Moden beobachtet, die beim pi –pi∗ -Übergang in ihrer Intensität verstärkt werden. Eine Bande bei 1598 cm-1 wird der symmetrischen Ringatmung zugeordnet, die aus einer Expansion des Borol-Rings resultiert. Eine zweite Schwingung bei 1298 cm-1 resultiert aus einer B-R Streckschwingung. Für System 5 wird diese Schwingung mit einer hohen Intensität beobachtet, während die Bande bei den Systemen 6-8, die mit einem Aryl-Rest substituiert sind, mit sehr geringer Intensität auftritt und deshalb lediglich mit einem hochauflösendem Setup detektiert werden kann. Aufgrund der schwachen Resonanzverstärkung kann von einer schwachen Wechselwirkung zwischen dem Bor und dem Aryl-Rest ausgegangen werden. In Borol 5, in dem eine Ferrocen-Einheit an das Bor gebunden ist, ist die Situation eine andere: nach Anregung des pi-pi*-Übergangs wird die Population im BC_4-Ring verschoben. Dadurch kann vom Eisen keine Elektronendichte mehr in das p_z-Orbital des Bors verschoben werden, die Fe-B-Wechselwirkung wird geschwächt und der Fe-B-Abstand wird vergrößert. Zusammenfassend konnte gezeigt werden, dass die Eigenschaften des Substituenten großen Einfluss auf die elektronische Struktur eines dreifach-substituierten Bor-Atoms hat, das in einer p_z-pi-Konjugation beteiligt ist.
This work focuses on theoretical approaches for predicting the valence and core excited states of aggregate systems. For the valence excitations, TD-HF and TD-DFT with different functionals have been tested at the Perylene bisimide (PBI) system. A simple character analysis method based on the calculated transition dipole moments is proposed. However, this method does not work for excited states without any transition dipole moment. Thus, we proposed a more general and more valid method based on a calculated CIS type wavefunction for the character analysis. Furthermore, a model Hamiltonian method is derived from a localized picture. The energies of the diabatic states and the corresponding coupling parameters were also determined on the basis of ab initio calculations. For the core excitation, three different methods were validated for C 1s-excited and ionized states if several small molecules. Also we tested the basis sets dependence of these core excited states. Based on those results, we chose the frozen core approximation method to evaluate the core excited states of NTCDA molecules. In order to explain the findings in the experiments, we developed an algorithm to evaluate the exciton coupling parameter where non-orthogonal MOs are used.
The present thesis reports about vibrational and quantum chemical investigations on model systems undergoing photochemical processes and pharmaceutically active compounds, respectively. Infrared (IR) and Raman spectroscopy were applied for the characterization of the ground state molecular structure. Moreover, resonance Raman (RR) spectra contain additional information about the resonantly enhanced excited state molecular structure. A quantitative resonance Raman intensity analysis in conjunction with the simultaneous simulation of the absorption spectra by means of time-dependent propagation methods was accomplished in order to extract valuable information about the excited state molecular structures of the investigated systems. Surface enhanced Raman scattering (SERS) allows one to determine the interaction and adsorption site of active agents on a metal substrate. Furthermore, density functional theory (DFT) and potential energy distribution (PED) calculations were carried out for an exact assignment of the vibrational spectra. Complete active space self consistent field (CASSCF) and configuration interaction (CI) calculations for some model systems were also performed to assess the experimental results on the excited state potential surfaces. The fundamentals of resonance Raman spectroscopy are treated in detail, describing the physical processes and emphasizing the theoretical methodologies which allow one to obtain the information about the resonantly excited state via an RR intensity analysis. The Brownian oscillator model to determine the solvent reorganization energy is briefly presented. Furthermore, the SERS enhancement mechanisms and selection rules to determine the orientation of the molecules adsorbed on the metal substrate are discussed. The Hartree-Fock approach to calculate the ground state geometry is expatiated, and the basic characteristics of the CI and CASSCF calculations are specified. The chapter ends with a short description of the DFT calculations. Chapter 4 deals with the investigation of the excited state intramolecular proton transfer of the model system, 1-hydroxy-2-acetonaphthone (HAN). The vibrations showing the highest displacement parameters correspond to stretching and in-plane deformation modes of the naphthalene ring and the conjugated carbonyl group, while the OH stretching mode exhibits no observable enhancement. The cooperative effect of the skeletal vibrations reduces the distance between the carbonyl and hydroxyl oxygen atoms in accordance with a general electron density redistribution. Hence, the leading force in the proton transfer process is the increase in electron density on the carbonyl group and the decrease of the negative charge on the hydroxyl oxygen. In chapter 5 the structural and vibrational characteristics of the organic mixed valence system N,N,N’,N’-tetraphenylphenylenediamine radical cation (1+) are discussed. The resonance Raman measurements showed that at least eight vibrational modes are strongly coupled to the optical charge transfer process in (1+). These Franck-Condon active modes were assigned to symmetric vibrations. The most enhanced band corresponds to the symmetric stretching mode along the N-phenylene-N unit and exhibits the largest vibrational reorganization energy. Nevertheless, symmetric stretching modes of the phenylene and phenyl units as well as deformation modes are also coupled to the electronic process. The total vibrational reorganization energy of these symmetrical modes is dominant, while the solvent induced broadening and reorganization energy are found to be small. Hence, (1+) adopts a symmetrical delocalized Robin-Day Class III structure in the ground state. Chapter 6 reports about a vibrational spectroscopic investigation of a model organic photorefractive thiophene derivative, 2-(N,N-diethylamino)-5-(2’,2’-dicyanovinyl)-thiophene. The geometry of the first excited state were optimized and the FC parameters were calculated using the configuration interaction with single excitations method. These calculations show that the contribution of the zwitterionic structure to the excited state is significantly higher than in the ground state. The resonance Raman spectra indicate that several stretching modes along the bonds connecting the donor and acceptor moieties as well as the S-C stretching vibrations are enhanced. Chapter 7 presents the vibrational analysis of an aziridinyl tripeptide, a cysteine protease inhibitor active drug. The vibrational analysis reveals stronger H-bonding of the aziridine NH unit in the solid state of the aziridinyl tripeptide than in the liquid electrophilic building block, indicating medium strong intermolecular H-bond interactions in the crystal unit. The amide hydrogen atoms of the aziridinyl tripeptide are involved in weaker H-bonds than in an epoxide analogon. Furthermore, the characteristic vibrational modes of the peptide backbone were discussed. Chapter 8 reports on the adsorption mechanism of two related anti-leukemia active agents, 6-mercaptopurine (6MP) and 6-mercaptopurine-ribose (6MPR) on a silver colloid. Both molecules adsorb through the N1 and possibly S atom on the metal surface under basic conditions. The SERS spectra recorded for acidic pH values showed that the ribose derivative exhibits a different adsorption behavior compared to the free base. 6MP probably adsorbs on the silver sol through the N9 and N3 atoms, while 6MPR interacts with the surface via the N7 and probably S atoms. Around critical biological concentrations and pH values i.e. at low concentrations and almost neutral condition (pH 7-9), 6MPR interacts with the substrate through both N7 and N1 atoms, possibly forming two differently adsorbed species, while for 6MP only the species adsorbed via N1 was evidenced.