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Quantitative Electron Paramagnetic Resonance Studies of Charge Transfer in Organic Semiconductors
(2020)
In the present work we investigated various charge transfer processes, as they appear in the versatile world of organic semiconductors by probing the spin states of the corresponding charge carrier species via electron paramagnetic resonance (EPR) spectroscopy. All studied material systems are carbon-based compounds, either belonging to the group of polymers, fullerenes, or single-wall carbon nanotubes (SWNTs).
In the first instance, we addressed the change of the open circuit voltage (Voc) with the fullerene blend stoichiometry in fullerene-based solar cells for organic photovoltaics (OPV). The voltage depends strongly on the energy separation between the lowest unoccupied molecular orbital (LUMO) of the donor and the highest occupied molecular orbital (HOMO) of the acceptor. By exploiting the Gaussian distribution of the charge carriers in a two-level system, and thus also their spins in the EPR experiment, it could be shown that the LUMOs get closer by a few to a few hundred meV when going from pure fullerene materials to a fullerene mixture. The reason for this strong energetic effect is likely the formation of a fullerene alloy.
Further, we investigated the chemical doping mechanism of SWNTs with a (6,5)-chirality and their behaviour under optical excitation. In order to determine the unintentional (pre)-doping of SWNTs, EPR spectra of the raw material as well as after different purification steps were recorded. This facilitated the determination of nanotube defects and atmospheric p-doping as the causes of the measured EPR signals. In order to deliberately transfer additional charge carriers to the nanotubes, we added the redox-active substance AuCl3 where we determined an associated doping-yield of (1.5±0.2)%. In addition, a statistical occupation model was developed which can be used to simulate the distribution of EPR active, i.e. unpaired and localised charge carriers on the nanotubes.
Finally, we investigated the charge transfer behaviour of (6,5)-SWNTs together with the polymer P3HT and the fullerene PC60BM after optical excitation.
In this work, a series of redox cascades was synthesised and investigated in view of their photophysical and electrochemical properties. The cascades are based on a perchlorinated triphenylmethyl radical acceptor and two triarylamine donors. Absorption spectra showed the presence of charge-transfer bands in the NIR range of the spectra, which pointed to the population of a charge-transfer state between a triarylamine donor and the radical acceptor. A weak to moderate emission in the NIR range of the spectra was observed for all compounds in cyclohexane. Spectroelectrochemical measurements were used to investigate the characteristic spectral features of the oxidised and reduced species of all compounds. Transient absorption spectra in the ns- and fs-time regime revealed an additional hole transfer in the cascades between the triarylamine donors, resulting in a charge-separated state. Charge-separation and -recombination processes were found to be located in the ps-time regime.
Simulationen zur transienten Absorptionsspektroskopie an Energie- und Ladungstransfersystemen
(2022)
Anregungsinduzierte Ladungstransferprozesse gemischtvalenter Verbindungen in einem, bzw. zwei Vibrationsfreiheitsgraden werden mithilfe vibronischer Modellsysteme untersucht. Anhand transienter und linearer Absorptionsspektren werden die berechneten mit experimentell bestimmten Daten verglichen. Eine detailliertere theoretische Analyse erfolgt unter den Gesichtspunkten der Populations- und Wellenpaketdynamik.
Darüber hinaus wird der Prozess der Exziton-Exziton-Annihilierung mithilfe eines elektronischen Modellsystems untersucht. Zu diesem Zweck werden, zusätzlich zu den oben genannten Methoden, spektroskopische Signale unterschiedlicher Emissionsrichtungen zum Vergleich herangezogen.
This thesis focused on the influence of the underlying crystal structure and hence, of the mutual molecular orientation, on the excited states in ordered molecular aggregates. For this purpose, two model systems have been investigated. In the prototypical donor-acceptor complex pentacene-perfluoropentacene (PEN-PFP) the optical accessibility of the charge transfer state and the possibility to fabricate highly defined interfaces by means of single crystal templates enabled a deep understanding of the spatial anisotropy of the charge transfer state formation. Transferring the obtained insights to the design of prototypical donor-acceptor devices, the importance of interface control to minimize the occurrence of charge transfer traps and thereby, to improve the device performance, could be demonstrated. The use of zinc phthalocyanine (ZnPc) allowed for the examination of the influence of molecular packing on the excited electronic states without a change in molecular species by virtue of its inherent polymorphism. Combining structural investigations, optical absorption and emission spectroscopy, as well as Franck-Condon modeling of emission spectra revealed the nature of the optical excited state emission in relation to the structural \(\alpha \) and \(\beta \) phase over a wide temperature range from 4 K to 300 K. As a results, the phase transition kinetics of the first order \(\alpha \rightarrow \beta\) phase transition were characterized in depth and applied to the fabrication of prototypical dual luminescent OLEDs.
In the first part of this work a new approach to measure transient absorption spectra of fluorescent compounds by means of laser flash photolysis technique was presented. Generally, the recorded transient absorption signal consists of transient absorption, fluorescence and ground state bleaching. Thus, for fluorescent chromophores a fluorescence correction is indispensable in order to obtain undisturbed absorption decay curves as well as accurate transient absorption spectra. Due to time response characteristics of the PMT detector the fluorescence contribution cannot be corrected by recording the fluorescence separately. Measuring two transient absorption signals with probe light differing in intensity, compounds with quantum yields up to ~ 35 % can be investigated. This is a major improvement because transient absorption spectroscopy is a powerful method to gain insight into the kinetics and the energy of excited states and information in the time domain of fluorescence are no longer lost. In the second part the synthesis and the photophysical characterisation of redox cascades were reported. These cascades consist of an acridine acceptor and up to three triarylamine donor subunits. The redox potentials of the triarylamines were tuned by adequate substituents in the para-position of the phenyl ring to ensure a directed redox gradient. Upon photoexcitation a locally excited state or a CT state is populated which then injects a hole onto the adjacent donor and consequently results in a CS state. Fluorescence and transient absorption measurements revealed that HT depends strongly on donor strength and solvent polarity. Formation of a CS state was only observed in case of strong terminal donors or polar solvents. A low lying localised triplet state acts as an energy trap and quenches all CS states even in case of the cascade with the strongest terminal donor in very polar solvents. Furthermore, population of a CS state catalyses the formation of this triplet states which results in a shorter lifetime of the CS state compared to the lifetime of the CT state of the corresponding reference compound. Compared to redox cascades already reported in literature, the electronic coupling between the redox centres was decreased by sterical as well as electronic effects. To prolong the lifetime of the CS state saturated spacers on the one hand and a perpendicular orientation of the acceptor and the adjacent donor on the other hand were selected. The twisting of the subunits forming the CT state results in a higher degree of charge separation but its contribution to increase the lifetimes of the CS states is of minor importance. The longer lifetime of the CS states can be ascribed to the saturated spacers. Experimental data in combination with calculated values indicate that charge recombination takes place in the Marcus normal region by a superexchange mechanisms. Although charge recombination of the known cascades is located in the Marcus inverted region, these CS states decay faster than the CS states of the compounds investigated in this work.
Diese Arbeit befasst sich mit zeitaufgelösten Prozessen in molekularen Systemen. Dabei wurde sowohl die Wellenpaketdynamik nach Photoanregung betrachtet als auch spektrale Eigenschaften mittels Absorptions- und zweidimensionaler Spektroskopie untersucht.
Zunächst widmet sich die Arbeit der Wellenpaket- und Populationsdynamik in zwei diabatischen, gekoppelten Zuständen. Nach impulsiver Anregung aus dem zu Beginn besetzten Zustand treten in der Populationsdynamik zwei deutlich verschiedene Oszillationen auf. Der langsamer variierende Populationstransfer besitzt die Periodendauer der Vibrationsbewegung und ist auf einen Wechsel der Zustände beim Durchlaufen des Wellenpakets durch die Kreuzungsregion der diabatischen Potentiale zurückzuführen. Die ultraschnelle Komponente mit einer Periodendauer von etwa 4 fs lässt sich als eine Art Rabi-Oszillation beschreiben, die durch die (zeitunabhängige) Kopplung hervorgerufen wird. Sie wurde mit Hilfe von analytischen Berechnungen ausführlich charakterisiert. Damit dieser Prozess auftreten kann müssen mehrere Bedingungen erfüllt werden: Das Wellenpaket muss über die Dauer der Oszillationen annähernd örtlich lokalisiert bleiben; dies ist an den Umkehrpunkten der Wellenpaketsbewegung der Fall. Die Amplitude der Oszillationen in den Populationen ist proportional zum Verhältnis der Kopplung zum Energieabstand der Zustände. Deshalb muss an den stationären Stellen die Kopplung groß im Vergleich zum Energieabstand sein. Die Amplitude der Oszillationen hängt außerdem von dem Populationsverhältnis und den Phasen der Komponenten des Wellenpakets in den beiden Zuständen ab. Die ultraschnellen Oszillationen bleiben auch in mehrdimensionalen Systemen mit unterschiedlichen Vibrationsfrequenzen je Freiheitsgrad erhalten.
Das gleiche Modell wurde benutzt, um Ladungstransferprozesse mittels linearer und 2D-Spektroskopie zu untersuchen. Eine Kopplung an die Umgebung wurde, aufbauend auf einer Quanten-Master-Gleichung in Markov-Näherung, wellenfunktionsbasiert mittels eines Quantum-Jump-Algorithmus mit expliziter Dephasierung beschrieben. Dabei findet mit vorher definierten Wahrscheinlichkeiten zu jedem Zeitschritt einer von drei stochastischen Prozessen statt. Neben kohärenter Propagation können Sprünge in einen anderen Eigenzustand des Systems und Dephasierungen auftreten. Zwei Dissipationsparameter spielen dabei eine Rolle. Dies ist zum einen die Stärke der System-Bad-Kopplung, welche die Gesamtrate der Energierelaxation beschreibt. Weiterhin beeinflusst die Dephasierungskonstante den Verlust kohärenter Phasen ohne Energieänderung. Fallenzustände wurden identifiziert, die durch sehr geringe Sprungraten in niedrigere Zustände charakterisiert sind. Die Langlebigkeit kann durch die Form der Eigenfunktionen erklärt werden, die eine deutlich andere Wahrscheinlichkeitsverteilung als die der Nicht-Fallenzustände besitzen. Dadurch werden die in die Sprungraten eingehenden Matrixelemente klein. Das Absorptionsspektrum zeigt Peaks an der Stelle der Fallenzustände, da nur die Eigenfunktionen der Fallenzustände große Franck-Condon-Faktoren mit der Anfangswellenfunktion besitzen. Verschiedene Kombinationen der Dissipationsparameter führen zu Änderungen der relativen Peakintensitäten und der Peakbreiten.
Die 2D-Spektren des Ladungstransfersystems werden störungstheoretisch über die Polarisation dritter Ordnung berechnet. Sie zeigen viele eng nebeneinander liegende Peaks in einer schachbrettmusterförmigen Anordnung, die sich auf Übergänge unter Mitwirkung der Fallenzustände zurückführen lassen. Höhere System-Bad-Kopplungen führen aufgrund der effizienten Energiedissipation zu einer Verschiebung zu kleineren Energien. Peaks, die mit schneller zerfallenden Fallenzuständen korrespondieren, bleichen schneller aus. Höhere Dephasierungskonstanten resultieren in verbreiterten Peaks. Um den Einfluss der Dissipation genauer zu charakterisieren, wurden gefilterte 2D-Spektren betrachtet. Dazu wurden Ausschnitte der Polarisation dritter Ordnung zu verschiedenen Zeiten fouriertransformiert. Längere Zeiten führen zu einer effektiveren Energierelaxation entlang der entsprechenden Zeitvariablen. Die Entvölkerung der höher liegenden Zustände lässt sich somit zeit- und energieaufgelöst betrachten. Weiterhin wurde gezeigt, dass sich der Zerfall eines einzelnen Peaks mit dem Populationsabfall des damit korrespondierenden Eigenzustandes in Einklang bringen lässt, obwohl die Zuordnung der Peaks im 2D-Spektrum zu Übergängen zwischen definierten Eigenzuständen nicht eindeutig ist.
Mit dem benutzten eindimensionalen Modell können auch Ladungstransferprozesse in organischen gemischtvalenten Verbindungen beschrieben werden. Es wurde die Frage untersucht, welche Prozesse nach einem optisch induzierten Energietransfer in solchen Systemen ablaufen. Experimentelle Daten (aufgenommen im Arbeitskreis von Prof. Lambert) deuten auf eine schnelle interne Konversion (IC) gefolgt von Thermalisierung hin. Um dies theoretisch zu überprüfen, wurden Absorptionsspektren bei verschiedenen Temperaturen berechnet und mit den gemessenen transienten Spektren verglichen. Es findet sich, abhängig von der Stärke der elektronischen Kopplung, eine sehr gute bis gute Übereinstimmung, was die Annahme eines schnellen ICs stützt.
Im letzten Teil der Arbeit wurden vibronische 2D-Spektren von molekularen Aggregaten betrachtet. Dazu wurde die zeitabhängige Schrödingergleichung für ein Monomer-, Dimer- und Trimersystem mit der Multi-Configuration Time-Dependent Hartree-Methode gelöst und die Polarisation nicht-störungstheoretisch berechnet. Der Hamiltonoperator des Trimers umfasst hierbei sieben gekoppelte elektronische Zustände und drei bzw. sechs Vibrationsfreiheitsgrade. Der betrachtete Photonenecho-Beitrag der Polarisation wurde mittels phasencodierter Laserpulse extrahiert. Die resultierenden Spektren sind geometrieabhängig, ein Winkel zwischen den Übergangsdipolmomenten der Monomere von 0° (180°) resultiert in einem H-Aggregat (J-Aggregat). Die Lage und Intensität der Peaks im rein elektronischen Trimer wurde analytisch erläutert. Die Spektren unter Einbeziehung der Vibration zeigen eine ausgeprägte vibronische Struktur. Es wurde gezeigt, wie die Spektren für höhere Aggregationsgrade durch die höhere Dichte an vibronischen Zuständen komplexer werden. Im J-Aggregat ist mit zunehmender Aggregation eine stärkere Rotverschiebung zu sehen. Das Spektrum des H-Aggregats zeigt eine im Vergleich zum J-Aggregat kompliziertere Struktur. Die Verwendung zweier Vibrationsfreiheitsgrade je Monomer führt zu Spektren mit überlappenden Peaks und einer zusätzlichen vibronischen Progression. Der Vergleich von Spektren verschiedener Mischungen von Monomer, Dimer und Trimer, entsprechend einem von Temperatur und Konzentration abhängigen Aggregationsgrad, zeigt den Einfluss dieser experimentellen Faktoren. Schließlich wurden mögliche Ansätze aufgezeigt, anhand der Spektren auf den Aggregationsgrad zu schließen.
The successful synthesis of a family of donor-iridium complex-acceptor triads (T1–T6, pMV1 and mMV1) and their electrochemical and photophysical properties were presented in this work. Triarylamines (TAA) were used as donors and naphthalene diimide (NDI) as acceptor. A bis-cyclometalated phenylpyrazole iridium dipyrrin complex acts as a photosensitiser. In addition, a molecular structure of T1 was obtained by single crystal X-ray diffraction.
Transient absorption spectroscopy experiments of these triads resembled that upon excitation a photoinduced electron transfer efficiently generates long-lived, charge-separated (CS) states. Thereby, the electron-transfer mechanism depends on the excitation energy.
The presence of singlet and triplet CS states was clarified by magnetic-field dependent transient-absorption spectroscopy in the nanosecond time regime. It was demonstrated that the magnetic field effect of charge-recombination kinetics showed for the first time a transition from the coherent to the incoherent spin-flip regime.
The lifetime of the CS states could be drastically prolonged by varying the spacer between the iridium complex and the NDI unit by using a biphenyl instead of a phenylene unit in T4.
A mixed-valence (MV) state of two TAA donors linked to an iridium metal centre were generated upon photoexcitation of triad pMV1 and mMV1. The mixed-valence character in these triads was proven by the analysis of an intervalence charge-transfer (IV-CT) band in the (near-infrared) NIR spectral region by femtosecond pump-probe experiments. These findings were supported by TD-DFT calculations.
The synthesis of dyads (D1–D4) was performed. Thereby the dipyrrin ligand was substituted with electron withdrawing groups. The electrochemical and photophysical characterisation revealed that in one case (D4) it was possible to generate a CS state upon photoexcitation.
The focus of this work was the investigation of energy transfer between charge transfer states. For this purpose the multidimensional chromophores HAB-S, HAB-A, B1 and B2 were synthesised, each consisting of three electron donor and three electron acceptor redox centres linked symmetrically or asymmetrically by the hexaarylbenzene framework. Triarylamines represent in all these compounds the electron donors, whereas the electron poor centres were triarylboranes in B1 and B2 and PCTM centres in HAB-S and HAB-A, respectively. The hexaarylbenzenes were obtained by cobalt catalysed cyclotrimerisation of the respective tolan precursors. In addition, Star was synthesised, which consists of a central PCTM linked to three triarylamin centres by tolan bridging units in a star-like configuration. The hexaarylbenzene S1a/b substituted with six squaraine chromophores could not be realised. It is assumed that the cyclotrimerisation catalyst Co2(CO)8 does not tolerate the essential hydroxyl groups in the tolan precursor S2a. The alternative reaction pathway to execute the cyclotrimerisation reaction first and introduce the hydroxyl groups thereafter failed as well, because the required hexaarylbenzene substituted by six semisquaric acid moieties could not be synthesised. However, energy transfer interactions could be investigated in the tolan precursor S2a with two squaraine units to obtain information about the electronic coupling provided by the tolan bridge. For all multidimensional compounds model molecules were synthesised with only a single donor-acceptor pair (B3, Star-Model and HAB-Model). This allows a separate consideration of energy and charge transfer processes. It has to be stressed that in all before mentioned multidimensional compounds the “through bond” energy transfer interaction between neighbouring IV-CT states is identical to a transfer of a single electron between two redox centres of the same kind (e.g. TAA -> TAA+). The latter can be analysed by electron transfer theory. This situation is observed when the two IV-CT states transferring energy share one redox centre.
All compounds containing PCTM centres were characterised by paramagnetic resonance spectroscopy. Thereby, a weak interaction between the three PCTM units in HAB-S and HAB-A was observed. In addition, when oxidising Star-Model, a strongly interacting singlet or triplet state was obtained. In contrast, signals corresponding to a weakly interacting biradical were obtained for HAB-Model+. This indicates a strong electronic coupling between the redox centres provided by the tolan bridge and a weak coupling when linked by the hexaarylbenzene. This trend is supported by UV/Vis/NIR absorption measurements. The analysis of the observed IV-CT absorption bands by electron transfer theory reveals a weak electronic coupling of V = 340 cm-1 in HAB-Model and a distinctly stronger coupling of V = 1190-2900 cm-1 in Star-Model. In the oxidised HAB-S+, Star+ and Star-Model+ a charge transfer reversed from that of the neutral species, that is, from the PCTM radical to the electron poorer cationic TAA centre, was observed by spectroelectrochemistry. The temporal evolution of the excited states was monitored by ultrafast transient absorption measurements. Within the first picosecond stabilisation of the charge transfer state was observed, induced by solvent rotation. Anisotropic transient absorption measurements revealed that within the lifetime of the excited state (tau = 1-4 ps) energy transfer does not occur in the HABs whereas in the star-like system ultrafast and possibly coherent energy redistribution is observed. Taken this information together the identity between energy transfer and electron transfer in the specific systems were made apparent. It has to be remarked that neither energy transfer nor charge transfer theory can account for the very fast energy transfer in Star.
The electrochemical and photophysical properties of B1 and B2 were investigated by cyclic voltammetry, absorption and fluorescence measurements and were compared to B3 with only one neighbouring donor-acceptor pair. For the asymmetric B2 CV measurements show three oxidations as well as three reduction peaks whose peak separation is greatly influenced by the conducting salt due to ion-pairing and shielding effects. Consequently, peak separations cannot be interpreted in terms of electronic couplings in the generated mixed valence species. Transient absorption, fluorescence solvatochromism and absorption spectra show that charge transfer states from the amine to the boron centres are generated after optical excitation. The electronic donor-acceptor interaction is weak though as the charge transfer has to occur predominantly through space. The electronic coupling could not be quantified as the CT absorption band is superimposed by pi-pi* transitions localised at the amine and borane centres. However, this trend is in good agreement to the weak coupling measured for HAB-Model. Both transient absorption and fluorescence upconversion measurements indicate an ultrafast stabilisation of the charge transfer state in B1- B3 similar to the corresponding observations in HAB-S and Star. Moreover, the excitation energy of the localised excited charge transfer states can be redistributed between the aryl substituents of these multidimensional chromophores within fluorescence lifetime (ca. 60 ns). This was proved by steady state fluorescence anisotropy measurements, which further indicate a symmetry breaking in the superficially symmetric HAB. Anisotropic fluorescence upconversion measurements confirm this finding and reveal a time constant of tau = 2-3 ps for the energy transfer in B1 and B2. It has to be stressed that, although the geometric structures of B1 and HAB-S are both based on the same framework and furthermore the neighbouring CT states show in both cases similar Coulomb couplings and negligible “through bond” couplings, very fast energy transfer is observed in B1 whereas in HAB-S the energy is not redistributed within the excited state lifetime. To explain this, it has to be kept in mind that the energy transfer and the relaxation of the CT state are competing processes. The latter is influenced moreover by the solvent viscosity. Hence, it is assumed that this discrepancy in energy transfer behaviour is caused by monitoring the excited state in solvents of varying viscosity. Adding fluoride ions causes the boron centres to lose their acceptor ability due to complexation. Consequently, the charge transfer character in the donor-acceptor chromophores vanishes which could be observed in both the absorption and fluorescence spectra. However, the fluoride sensor ability of the boron centre is influenced strongly by the moisture content of the solvent possibly due to hydrogen bonding of water to the fluoride anions.
UV/Vis/NIR absorption measurements of S2a show a red-shift by 1800 cm-1 of the characteristic squarain band compared to the model compound S20. From exciton theory a Coulomb coupling of V = 410 cm-1 is calculated which cannot account for this strong spectral shift. Consequently, “through-bond” interactions have to contribute to the strong communication between the two squaraine chromophores in S2a. This is in accordance with the strong charge transfer coupling calculated for the tolan spacer in Star-Model.
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.