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The chirality of the interlocked bay-arylated perylene motif is investigated upon its material prospect and the enhancement of its chiroptical response to the NIR spectral region. A considerable molecular library of inherently chiral perylene bisimides (PBIs) was utilized as acceptors in organic solar cells to provide decent device performances and insights into the structure-property relationship of PBI materials within a polymer blend. For the first time in the family of core-twisted PBIs, the effects of enantiopurity on the device performance was thoroughly investigated. The extraordinary structural sensitivity of CD spectroscopy served as crucial analytical tool to bridge the highly challenging gap between molecular properties and device analytics by proving the excitonic chirality of a helical PBI dimer. The chirality of this perylene motif could be further enhanced on a molecular level by both the expansion and the enhanced twisting of the π-scaffold to achieve a desirable strong chiroptical NIR response introducing a new family of twisted QBI-based nanoribbons. These achievements could be substantially further developed by expanding this molecular concept to a supramolecular level. The geometrically demanding supramolecular arrangement necessary for the efficient excitonic coupling was carefully encoded into the molecular design. Accordingly, the QBIs could form the first J-type aggregate constituting a fourfold-stranded superhelix of a rylene bisimide with strong excitonic chirality. Therefore, this thesis has highlighted the mutual corroboration of experimental and theoretical data from the molecular to the supramolecular level. It has demonstrated that for rylene bisimide dyes, the excitonic contribution to the overall chiroptical response can be designed and rationalized. This can help to pave the way for new organic functional materials to be used for
chiral sensing or chiral organic light-emitting devices.
Time and Spatially Resolved Photoluminescence Spectroscopy of Hot Excitons in Gallium Arsenide
(2015)
The present thesis investigates the impact of hot exciton effects on the low-temperature time and spatially resolved photoluminescence (PL) response of free excitons in high-purity gallium arsenide (GaAs). The work at hand extends available studies of hot carrier effects, which in bulk GaAs have up to now focused on hot electron populations. In crucial distinction from previous work, we extensively study the free exciton second LO-phonon replica. The benefit of this approach is twofold. First, the two LO phonon-assisted radiative recombination allows to circumvent the inherent interpretation ambiguities of the previously investigated free exciton zero-phonon line. Second, the recombination line shape of the second LO-phonon replica provides direct experimental access to the exciton temperature, thereby enabling the quantitative assessment of hot exciton effects.
In the first part of the thesis, we address the influence of transient cooling on the time evolution of an initially hot photocarrier ensemble. To this end, we investigate time-resolved photoluminescence (TRPL) signals detected on the free exciton second LO-phonon replica. Settling a long-standing question, we show by comparison with TRPL transients of the free exciton zero-phonon line that the slow free exciton photoluminescence rise following pulsed optical excitation is dominated by the slow buildup of a free exciton population and not by the relaxation of large K-vector excitons to the Brillouin zone center. To establish a quantitative picture of the delayed photoluminescence onset, we determine the cooling dynamics of the initially hot photocarrier cloud from a time-resolved line shape analysis of the second LO-phonon replica. We demonstrate that the Saha equation, which fundamentally describes the thermodynamic population balance between free excitons and the uncorrelated electron-hole plasma, directly translates the experimentally derived cooling curves into the time-dependent conversion of unbound electron-hole pairs into free excitons.
In the second part of the thesis, we establish the impact of hot exciton effects on low-temperature spatially resolved photoluminescence (SRPL) studies. Such experiments are widely used to investigate charge carrier and free exciton diffusion in semiconductors and semiconductor nanostructures. By SRPL spectroscopy of the second LO-phonon replica, we show that above-band gap focused laser excitation inevitably causes local heating in the carrier system, which crucially affects the diffusive expansion of a locally excited exciton packet. Undistorted free exciton diffusion profiles, which are correctly described by the commonly used formulation of the photocarrier diffusion equation, are only observed in the absence of spatial temperature gradients. At low sample temperatures, the reliable determination of free exciton diffusion coefficients from both continuous-wave and time-resolved SRPL spectroscopy requires strictly resonant optical excitation.
Using resonant laser excitation, we observe the dimensional crossover of free exciton diffusion in etched wire structures of a thin, effectively two-dimensional GaAs epilayer. When the lateral wire width falls below the diffusion length, the sample geometry becomes effectively one-dimensional. The exciton diffusion profile along the wire stripe is then consistently reproduced by the steady-state solution to the one-dimensional diffusion equation.
Finally, we demonstrate the formation of macroscopic free and bound exciton photoluminescence rings in bulk GaAs around a focused laser excitation spot. Both ring formation effects are due to pump-induced local heating in the exciton system. For a quantitative assessment of the mechanism underlying the free exciton ring formation, we directly determine the exciton temperature gradient from a spatially resolved line shape analysis of the free exciton second LO-phonon replica. We demonstrate that a pump-induced hot spot locally modifies the thermodynamic population balance between free excitons and unbound electron-hole pairs described by the Saha equation, which naturally explains the emergence of macroscopic free exciton ring structures.
In summary, we demonstrate that quantitative consideration of hot exciton effects provides a coherent picture both of the time-domain free exciton luminescence kinetics and of the distinct spatially resolved photoluminescence patterns developing under the influence of spatial photocarrier diffusion.
The present thesis demonstrates the importance of the solid state packing of dipolar merocyanine dyes with regard to charge transport and exciton coupling.
Due to the charge transport theory for disordered materials, it is expected that high ground state dipole moments in amorphous thin films lead to low mobility values due to a broadening of the density of states. However, due to their inherent dipolarity, merocyanine dyes usually align in antiparallel dimers in an ordered fashion. The examination of twenty different molecules with ground state dipole moments up to 15.0 D shows that by a high dipolarity and well-defined sterics, the molecules pack in a highly regular two-dimensional brickwork-type structure, which is beneficial for hole transport. Utilization of these molecules for organic thin-film transistors (OTFTs) leads to hole mobility values up to 0.21 cm²/Vs. By fabrication of single crystal field-effect transistors (SCFETs) for the derivative showing the highest mobility values in OTFTs, even hole mobilities up to 2.34 cm²/Vs are achieved. Hence, merocyanine based transistors show hole mobility values comparable to those of conventional p-type organic semiconductors and therefore high ground state dipole moments are not necessarily disadvantageous regarding high mobility applications.
By examination of a different series of ten merocyanine dyes with the same chromophore backbone but different donor substituents, it is demonstrated that the size of the donor has a significant influence on the optical properties of thin films. For small and rigid donor substituents, a hypsochromic shift of the absorption compared to the monomer absorption in solution is observed due to the card stack like packing of the molecules in the solid state. By utilization of sterical demanding or flexible donor substituents, a zig-zag type packing is observed, leading to a bathochromical shift of the absorption. These packing motifs and spectral shifts with an offset of 0.93 eV of the H- and J-bands comply with the archetype examples of H- and J-aggregates from Kasha’s exciton theory.
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.
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.
The present work presents investigations on energy and charge transport properties in organic crystals. Chapter 4 treats exciton transport in anthracene, which is an example for weakly coupled π-systems. The electronic coupling parameter is evaluated by the monomer transition density approach. With these and the reorganization energy hopping rates are calculated in the framework of the Marcus theory. Together with the knowledge of the crystal structure, these allow us to calculate the experimental accessible exciton diffusion lengths, whose isotropic part fits nicely within the scattering of experimental values found in the literature. Furthermore, the anisotropy of the exciton diffusion lengths is reproduced qualitatively and quantitatively correct. This chapter also contains studies about electron and hole transport in both polymorphs (α and β) of perylene. Reorganization energies as well as diffusion coefficients for both crystal structures and types of charge transport were calculated. The best transport is hole transport in β-perylene, but it is strongly isotropic. The preferred transport direction is along the b-axis of the unit cell with couplings of greater than 100 meV. However, there is no transport along the c-axis. The diffusion constant in b-direction is bigger by two orders of magnitude than in c-direction (62.7•10-6 m2/s vs. 0.4•10-6 m2/s). Charge transport is calculated to be strongly anisotropic for holes as well as electrons in both modifications. To verify these results experimental electron mobilities have been compared to the simulations. Good agreement was found with errors of less than 27%. As it was shown above, the calculation and measurement of transport properties between weakly coupled systems is possible. However, it is difficult to exactly determine the quality of the electronic coupling. For this reason a collaboration about strongly interacting π-systems was started between us and the research group of Prof. Ingo Fischer. There, [2.2]paracyclophanes and its derivates were investigated to show how hydroxyl substitution influences absorption properties. Overall, a combination of SCS-MP2 and SCS-CC2 performs best to address the description of geometric and electronic structures for both ground and excited states of these model systems as well as their parent compounds benzene and phenol. Only [2.2]paracyclophane shows a double minimum potential regarding a twist and shift motion between the benzene/phenol subunits towards each other. All other systems are less flexible due to their substitution pattern. Almost all [2.2]paracyclophanes display minor changes in their geometric structure upon excitation to the S1 state: The inter-ring distance shortens, but qualitatively they keep their shift and twist characteristics, although the extent of these deformations diminishes. The exception is p-DHPC, which turns from a shifted ground state structure into a twisted excited state structure. Consequently, the intensity of the 0-0 transition cannot be observed experimentally due to small Franck-Condon factors and impurities of o-DHPC. In the present thesis, the structures and their changes due to excitation are explained by electrostatic potentials as well as antibonding (bonding) HOMO (LUMO) orbitals. Adiabatic excitation energies have been corrected by ZPEs and result in accuracies with errors smaller than 0.1 eV. Note that corrections on the B3LYP level worsen the results and one has to apply SCS-CC2 to achieve this accuracy. These calculations allow an interpretation of the experimental [1+1]REMPI spectra. Band progressions of the twist, shift and breathing of the [2.2]paracyclophane skeleton vibrations have been identified and show good agreement to the experiment. This work shows that the substitution pattern in [2.2]paracyclophanes can have a significant impact on spectroscopic properties. Because these properties are directly linked to the transport properties of these materials, the hereby gained insight can be used to design materials with customized transport properties. It was shown that the SCS-CC2 method is very appropriate to predict the interaction between the π-systems
Nucleic acids are not only one of the most important classes of macromolecules in biochemistry but also a promising platform for the defined arrangement of chromophores. Thanks to their precise organization by directional polar and hydrophobic interactions, oligonucleotides can be exploited as suitable templates for multichromophore assemblies with predictable properties. To expand the toolbox of emissive, base pairing nucleobase analogs several barbituric acid merocyanine (BAM) chromophores with tunable spectroscopic properties were synthesized and incorporated into RNA, DNA and glycol nucleic acid (GNA) oligonucleotides. A multitude of duplexes containing up to ten BAM chromophores was obtained and analysis by spectroscopic methods revealed the presence of dipolarly coupled merocyanine aggregates with properties
strongly dependent on the chromophore orientation toward each other and the backbone conformation. These characteristics were exploited for various applications such as FRET pair formation and polymerase chain reaction (PCR) experiments. The observed formation of higher-order aggregates implies future applications of these new oligonucleotide-chromophore systems as light-harvesting DNA nanomaterials. Besides oligonucleotide templated covalent assembly of chromophores also non-covalent nucleic acid-chromophore complexes are a broad field of research. Among these, fluorogenic RNA aptamers are of special interest with the most versatile ones based on derivatives of the GFP chromophore hydroxybenzylidene imidazolone (HBI). Therefore, new HBI-derived chromophores with an expanded conjugated system and an additional exocyclic amino group for an enhanced binding affinity were synthesized and analyzed in complex with the Chili aptamer. Among these, structurally new fluorogenes with strong fluorescence activation upon binding to Chili were identified which are promising for further derivatization and application as color-switching sensor devices for example.
We present a theoretical study on exciton–exciton annihilation (EEA) in a molecular dimer. This process is monitored using a fifth-order coherent two-dimensional (2D) spectroscopy as was recently proposed by Dostál et al. [Nat. Commun. 9, 2466 (2018)]. Using an electronic three-level system for each monomer, we analyze the different paths which contribute to the 2D spectrum. The spectrum is determined by two entangled relaxation processes, namely, the EEA and the direct relaxation of higher lying excited states. It is shown that the change of the spectrum as a function of a pulse delay can be linked directly to the presence of the EEA process.
We present a theoretical study on exciton–exciton annihilation (EEA) in a molecular dimer. This process is monitored using a fifth-order coherent two-dimensional (2D) spectroscopy as was recently proposed by Dostál et al. [Nat. Commun. 9, 2466 (2018)]. Using an electronic three-level system for each monomer, we analyze the different paths which contribute to the 2D spectrum. The spectrum is determined by two entangled relaxation processes, namely, the EEA and the direct relaxation of higher lying excited states. It is shown that the change of the spectrum as a function of a pulse delay can be linked directly to the presence of the EEA process.
In this work, two techniques, based on the established method of pump--probe spectroscopy were used to investigate the properties of molecular systems in the liquid phase within the visible spectral wavelength range.
The first technique is standard transient absorption (TA) spectroscopy which was applied to a diazo-precursor to identify the formation of a biradical in an inert solvent after UV excitation. With the combination of EPR spectroscopy and quantum chemical calculations, the formation of a biradical in an unpolar and non-protic solvent was proven. Besides, in the presence of air or a polar and protic solvent, the biradical reacts ultrafast to various side products.
The second technique is time-resolved circular dichroism (TRCD) spectroscopy, which was performed in two different ways. The first approach based on a pulse-enantiomer (PE) setup, where an initially circularly polarized pulse was split into two pulses, of which one was mirrored under normal incidence, to flip its polarization. The result was two pulses with mirrored polarization states that propagate collinearly to the sample as left and right circularly polarized probe pulses. The alignment procedure as well as the drawbacks of this setup are described in detail.
However, a new TRCD setup was built that used a polarization grating to get left and right circularly polarized pulses. With the experiences of working with the PE setup, the new TRCD setup could be optimized so that TRCD spectra of a chiral squaraine polymer could be measured. With the help of quantum chemical calculations, the signals were assigned to exciton dynamics that describe spatial and energetic rearrangements of the excitation energy. The alignment and the measurement procedures to perform TRCD spectroscopy with the new setup are described in detail for future experiments.