Charge-transport simulations in organic semiconductors

In this thesis we have extended the methods for microscopic charge-transport simulations for organic semiconductors. In these materials the weak intermolecular interactions lead to spatially localized charge carriers, and the charge transport occurs as an activated hopping process between diabatic states. In addition to weak electronic couplings between these states, different electrostatic environments in the organic material lead to a broadening of the density of states for the charge energies which limits carrier mobilities.rnThe contributions to the method development includern(i) the derivation of a bimolecular charge-transfer rate,rn(ii) the efficient evaluation of intermolecular (outer-sphere) reorganization energies,rn(iii) the investigation of effects of conformational disorder on intramolecular reorganization energies or internal site energiesrnand (iv) the inclusion of self-consistent polarization interactions for calculation of charge energies.These methods were applied to study charge transport in amorphous phases of small molecules used in the emission layer of organic light emitting diodes (OLED).rnWhen bulky substituents are attached to an aromatic core in order to adjust energy levels or prevent crystallization, a small amount of delocalization of the frontier orbital to the substituents can increase electronic couplings between neighboring molecules. This leads to improved charge-transfer rates and, hence, larger charge-mobility. We therefore suggest using the mesomeric effect (as opposed to the inductive effect) when attaching substituents to aromatic cores, which is necessary for example in deep blue OLEDs, where the energy levels of a host molecule have to be adjusted to those of the emitter.rnFurthermore, the energy landscape for charges in an amorphous phase cannot be predicted by mesoscopic models because they approximate the realistic morphology by a lattice and represent molecular charge distributions in a multipole expansion. The microscopic approach shows that a polarization-induced stabilization of a molecule in its charged and neutral states can lead to large shifts, broadening, and traps in the distribution of charge energies. These results are especially important for multi-component systems (the emission layer of an OLED or the donor-acceptor interface of an organic solar cell), if the change in polarizability upon charging (or excitation in case of energy transport) is different for the components. Thus, the polarizability change upon charging or excitation should be added to the set of molecular parameters essential for understanding charge and energy transport in organic semiconductors.rnWe also studied charge transport in self-assembled systems, where intermolecular packing motives induced by side chains can increase electronic couplings between molecules. This leads to larger charge mobility, which is essential to improve devices such as organic field effect transistors, where low carrier mobilities limit the switching frequency.rnHowever, it is not sufficient to match the average local molecular order induced by the sidernchains (such as the pitch angle between consecutive molecules in a discotic mesophase) with maxima of the electronic couplings.rnIt is also important to make the corresponding distributions as narrow as possible compared to the window determined by the closest minima of thernelectronic couplings. This is especially important in one-dimensional systems, where charge transport is limited by the smallest electronic couplings.rnThe immediate implication for compound design is that the side chains should assist the self-assemblingrnprocess not only via soft entropic interactions, but also via stronger specific interactions, such as hydrogen bonding.rnrnrnrn

Transport of nanoparticles into polymersomes : a minimal model system of particles passage through biological membranes

This thesis focuses on the design and characterization of a novel, artificial minimal model membrane system with chosen physical parameters to mimic a nanoparticle uptake process driven exclusively by adhesion and softness of the bilayer. The realization is based on polymersomes composed of poly(dimethylsiloxane)-b-poly(2-methyloxazoline) (PMDS-b-PMOXA) and nanoscopic colloidal particles (polystyrene, silica), and the utilization of powerful characterization techniques. rnPDMS-b-PMOXA polymersomes with a radius, Rh ~100 nm, a size polydispersity, PD = 1.1 and a membrane thickness, h = 16 nm, were prepared using the film rehydratation method. Due to the suitable mechanical properties (Young’s modulus of ~17 MPa and a bending modulus of ~7⋅10-8 J) along with the long-term stability and the modifiability, these kind of polymersomes can be used as model membranes to study physical and physicochemical aspects of transmembrane transport of nanoparticles. A combination of photon (PCS) and fluorescence (FCS) correlation spectroscopies optimizes species selectivity, necessary for a unique internalization study encompassing two main efforts. rnFor the proof of concepts, the first effort focused on the interaction of nanoparticles (Rh NP SiO2 = 14 nm, Rh NP PS = 16 nm; cNP = 0.1 gL-1) and polymersomes (Rh P = 112 nm; cP = 0.045 gL-1) with fixed size and concentration. Identification of a modified form factor of the polymersome entities, selectively seen in the PCS experiment, enabled a precise monitor and quantitative description of the incorporation process. Combining PCS and FCS led to the estimation of the incorporated particles per polymersome (about 8 in the examined system) and the development of an appropriate methodology for the kinetics and dynamics of the internalization process. rnThe second effort aimed at the establishment of the necessary phenomenology to facilitate comparison with theories. The size and concentration of the nanoparticles were chosen as the most important system variables (Rh NP = 14 - 57 nm; cNP = 0.05 - 0.2 gL-1). It was revealed that the incorporation process could be controlled to a significant extent by changing the nanoparticles size and concentration. Average number of 7 up to 11 NPs with Rh NP = 14 nm and 3 up to 6 NPs with Rh NP = 25 nm can be internalized into the present polymersomes by changing initial nanoparticles concentration in the range 0.1- 0.2 gL-1. Rapid internalization of the particles by polymersomes is observed only above a critical threshold particles concentration, dependent on the nanoparticle size. rnWith regard possible pathways for the particle uptake, cryogenic transmission electron microscopy (cryo-TEM) has revealed two different incorporation mechanisms depending on the size of the involved nanoparticles: cooperative incorporation of nanoparticles groups or single nanoparticles incorporation. Conditions for nanoparticle uptake and controlled filling of polymersomes were presented. rnIn the framework of this thesis, the experimental observation of transmembrane transport of spherical PS and SiO2 NPs into polymersomes via an internalization process was reported and examined quantitatively for the first time. rnIn a summary the work performed in frames of this thesis might have significant impact on cell model systems’ development and thus improved understanding of transmembrane transport processes. The present experimental findings help create the missing phenomenology necessary for a detailed understanding of a phenomenon with great relevance in transmembrane transport. The fact that transmembrane transport of nanoparticles can be performed by artificial model system without any additional stimuli has a fundamental impact on the understanding, not only of the nanoparticle invagination process but also of the interaction of nanoparticles with biological as well as polymeric membranes. rn

Charge transport in organic photovoltaic cells

Die vorliegende Dissertation dient dazu, das Verständnis des Ladungstransportes in organischen Solarzellen zu vertiefen. Mit Hilfe von Computersimulationen wird die Bewegung von Ladungsträgern in organischen Materialien rekonstruiert, und zwar ausgehend von den quantenmechanischen Prozessen auf mikroskopischer Ebene bis hin zur makroskopischen Skala, wo Ladungsträgermobilitäten quantifizierbar werden. Auf Grundlage dieses skalenübergreifenden Ansatzes werden Beziehungen zwischen der chemischen Struktur organischer Moleküle und der makroskopischen Mobilität hergestellt (Struktur-Eigenschafts-Beziehungen), die zu der Optimierung photovoltaischer Wirkungsgrade beitragen. Das Simulationsmodell beinhaltet folgende drei Schlüsselkomponenten. Erstens eine Morphologie, d. h. ein atomistisch aufgelöstes Modell der molekularen Anordnung in dem untersuchten Material. Zweitens ein Hüpfmodell des Ladungstransportes, das Ladungswanderung als eine Abfolge von Ladungstransferreaktionen zwischen einzelnen Molekülen beschreibt. Drittens ein nichtadiabatisches Modell des Ladungstransfers, das Übergangsraten durch drei Parameter ausdrückt: Reorganisationsenergien, Lageenergien und Transferintegrale. Die Ladungstransport-Simulationen richten sich auf die Materialklasse der dicyanovinyl-substituierten Oligothiophene und umfassen Morphologien von Einkristallen, Dünnschichten sowie amorphen/smektischen Mesophasen. Ein allgemeiner Befund ist, dass die molekulare Architektur, bestehend aus einer Akzeptor-Donor-Akzeptor-Sequenz und einem flexiblen Oligomergerüst, eine erhebliche Variation molekularer Dipolmomente und damit der Lageenergien bewirkt. Diese energetische Unordnung ist ungewöhnlich hoch in den Kristallen und umso höher in den Mesophasen. Für die Einkristalle wird beobachtet, dass Kristallstrukturen mit ausgeprägter π-Stapelung und entsprechend großer Transferintegrale zu verhältnismäßig niedrigen Mobilitäten führen. Dieses Verhalten wird zurückgeführt auf die Ausbildung bevorzugter Transportrichtungen, die anfällig für energetische Störungen sind. Für die Dünnschichten bestätigt sich diese Argumentation und liefert ein mikroskopisches Verständnis für experimentelle Mobilitäten. In der Tat korrelieren die Simulationsergebnisse sowohl mit gemessenen Mobilitäten als auch mit photovoltaischen Wirkungsgraden. Für die amorphen/smektischen Systeme steigt die energetische Unordnung mit der Oligomerlänge, sie führt aber auch zu einer unerwarteten Mobilitätsabnahme in dem stärker geordneten smektischen Zustand. Als Ursache dafür erweist sich, dass die smektische Schichtung der räumlichen Korrelation der energetischen Unordnung entgegensteht.