Pseudodifferential analysis in Psi*-algebras on transmission spaces, infinite solving ideal chains and K-theory for conformally compact spaces

The present thesis is a contribution to the theory of algebras of pseudodifferential operators on singular settings. In particular, we focus on the $b$-calculus and the calculus on conformally compact spaces in the sense of Mazzeo and Melrose in connection with the notion of spectral invariant transmission operator algebras. We summarize results given by Gramsch et. al. on the construction of $Psi_0$-and $Psi*$-algebras and the corresponding scales of generalized Sobolev spaces using commutators of certain closed operators and derivations. In the case of a manifold with corners $Z$ we construct a $Psi*$-completion $A_b(Z,{}^bOmega^{1/2})$ of the algebra of zero order $b$-pseudodifferential operators $Psi_{b,cl}(Z, {}^bOmega^{1/2})$ in the corresponding $C*$-closure $B(Z,{}^bOmega^{12})hookrightarrow L(L^2(Z,{}^bOmega^{1/2}))$. The construction will also provide that localised to the (smooth) interior of Z the operators in the $A_b(Z, {}^bOmega^{1/2})$ can be represented as ordinary pseudodifferential operators. In connection with the notion of solvable $C*$-algebras - introduced by Dynin - we calculate the length of the $C*$-closure of $Psi_{b,cl}^0(F,{}^bOmega^{1/2},R^{E(F)})$ in $B(F,{}^bOmega^{1/2}),R^{E(F)})$ by localizing $B(Z, {}^bOmega^{1/2})$ along the boundary face $F$ using the (extended) indical familiy $I^B_{FZ}$. Moreover, we discuss how one can localise a certain solving ideal chain of $B(Z, {}^bOmega^{1/2})$ in neighbourhoods $U_p$ of arbitrary points $pin Z$. This localisation process will recover the singular structure of $U_p$; further, the induced length function $l_p$ is shown to be upper semi-continuous. We give construction methods for $Psi*$- and $C*$-algebras admitting only infinite long solving ideal chains. These algebras will first be realized as unconnected direct sums of (solvable) $C*$-algebras and then refined such that the resulting algebras have arcwise connected spaces of one dimensional representations. In addition, we recall the notion of transmission algebras on manifolds with corners $(Z_i)_{iin N}$ following an idea of Ali Mehmeti, Gramsch et. al. Thereby, we connect the underlying $C^infty$-function spaces using point evaluations in the smooth parts of the $Z_i$ and use generalized Laplacians to generate an appropriate scale of Sobolev spaces. Moreover, it is possible to associate generalized (solving) ideal chains to these algebras, such that to every $ninN$ there exists an ideal chain of length $n$ within the algebra. Finally, we discuss the $K$-theory for algebras of pseudodifferential operators on conformally compact manifolds $X$ and give an index theorem for these operators. In addition, we prove that the Dirac-operator associated to the metric of a conformally compact manifold $X$ is not a Fredholm operator.

The collapse of linear polyelectrolyte chains in a poor solvent: When does a collapsing polyelectrolyte collect its counter ions?

The collapse of linear polyelectrolyte chains in a poor solvent: When does a collapsing polyelectrolyte collect its counter ions? The collapse of polyions in a poor solvent is a complex system and is an active research subject in the theoretical polyelectrolyte community. The complexity is due to the subtle interplay between hydrophobic effects, electrostatic interactions, entropy elasticity, intrinsic excluded volume as well as specific counter-ion and co-ion properties. Long range Coulomb forces can obscure single molecule properties. The here presented approach is to use just a small amount of screening salt in combination with a very high sample dilution in order to screen intermolecular interaction whereas keeping intramolecular interaction as much as possible (polyelectrolyte concentration cp ≤ 12 mg/L, salt concentration; Cs = 10^-5 mol/L). This is so far not described in literature. During collapse, the polyion is subject to a drastic change in size along with strong reduction of free counterions in solution. Therefore light scattering was utilized to obtain the size of the polyion whereas a conductivity setup was developed to monitor the proceeding of counterion collection by the polyion. Partially quaternized PVP’s below and above the Manning limit were investigated and compared to the collapse of their uncharged precursor. The collapses were induced by an isorefractive solvent/non-solvent mixture consisting of 1-propanol and 2-pentanone, with nearly constant dielectric constant. The solvent quality for the uncharged polyion could be quantified which, for the first time, allowed the experimental investigation of the effect of electrostatic interaction prior and during polyion collapse. Given that the Manning parameter M for QPVP4.3 is as low as lB / c = 0.6 (lB the Bjerrum length and c the mean contour distance between two charges), no counterion binding should occur. However the Walden product reduces with first addition of non solvent and accelerates when the structural collapse sets in. Since the dielectric constant of the solvent remains virtually constant during the chain collapse, the counterion binding is entirely caused by the reduction in the polyion chain dimension. The collapse is shifted to lower wns with higher degrees of quaternization as the samples QPVP20 and QPVP35 show (M = 2.8 respectively 4.9). The combination of light scattering and conductivity measurement revealed for the first time that polyion chains already collect their counter ions well above the theta-dimension when the dimensions start to shrink. Due to only small amounts of screening salt, strong electrostatic interactions bias dynamic as well as static light scattering measurements. An extended Zimm formula was derived to account for this interaction and to obtain the real chain dimensions. The effective degree of dissociation g could be obtained semi quantitatively using this extrapolated static in combination with conductivity measurements. One can conclude the expansion factor a and the effective degree of ionization of the polyion to be mutually dependent. In the good solvent regime g of QPVP4.3, QPVP20 and QPVP35 exhibited a decreasing value in the order 1 > g4.3 > g20 > g35. The low values of g for QPVP20 and QPVP35 are assumed to be responsible for the prior collapse of the higher quaternized samples. Collapse theory predicts dipole-dipole attraction to increase accordingly and even predicts a collapse in the good solvent regime. This could be exactly observed for the QPVP35 sample. The experimental results were compared to a newly developed theory of uniform spherical collapse induced by concomitant counterion binding developed by M. Muthukumar and A. Kundagrami. The theory agrees qualitatively with the location of the phase boundary as well as the trend of an increasing expansion with an increase of the degree of quaternization. However experimental determined g for the samples QPVP4.3, QPVP20 and QPVP35 decreases linearly with the degree of quaternization whereas this theory predicts an almost constant value.

Squaraine mit ausgedehnter Konjugation

Squaraine mit ausgedehnter Konjugation: Die vorliegende Arbeit ist in zwei Teilbereiche gegliedert, wobei der erste Teil die Synthese und Eigenschaftsuntersuchung symmetrischer und unsymmetrischer, stilbenoider Squaraine mit ausgedehnter Konjugation (DAD-Systeme) betrifft. Im zweiten Teil der Arbeit werden als Modellverbindungen für diese Squaraine Oligo(phenylenvinylen)e (OPVs) mit terminaler Donor-Acceptor-Substitution hergestellt.Es wurden drei unterschiedliche Klassen von konjugationsverlängerten Squarainen synthetisiert: unsymmetrische und symmetrische Monosquaraine sowie Oligosquaraine mit zwei, drei oder vier quarylium-Einheiten. Um eine bessere Löslichkeit zu gewährleisten, tragen die meisten Verbindungen voluminöse, flexible Bis(2-hexyloctyl)amino-Reste. Teilweise konnte die Löslichkeit auch durch zusätzliche Hexylseitenketten noch weiter verbessert werden. Der Aufbau der stilbenoiden Resorcine, die zur Synthese der entsprechenden Squaraine benötigt werden, erfolgte fast ausschließlich über die Wittig-Horner-Reaktion. Die 3,5-Dihydroxysubstitution erhöht die Nucleophilie in der 4-Position, so daß sich die stilbenoiden Resorcine in guten Ausbeuten mit Quadratsäure oder mit einer Semiquadratsäure zu den gewünschten Squarainen kondensieren ließen. Die Herstellung der Donor-Acceptor-substituierten OPVs erfolgte nach einer konvergenten Synthesestrategie, bei der auf eine repetitive Wittig-Horner-Reaktion und eine einfache Schutzgruppentechnik zurückgegriffen wurde. Als Acceptorgruppen dienten Formyl-, Cyano- und Nitrosubstituenten, als Donorgruppe wurden Bis(2-Hexyloctyl)amino-Reste eingesetzt. Die igenschaftsuntersuchungen an den konjugierten Oligomeren konnten zur Aufklärung des ungewöhnlichen spektroskopischen Verhaltens der Squaraine beitragen. Es wurde ein athematischer Ansatz entwickelt, der das Absorptionsverhalten D-A-substituierter Oligo(phenylenvinylen)e exakt beschreiben kann. Semiempirische Rechnungen und elektrooptische bsorptionsmessungen an diesen Verbindungen bestätigten die experimentell gefundenen Trends.

From discrete anions to extended solids: new uranium thiophosphates

Die wichtigste Klasse zeotyper Verbindungen sind die Thio- und Selenophosphate der Übergangsmetalle. Ziel dieser Dissertation war die Darstellung und Charakterisierung neuer Uranthiophosphate. Die dargestellten Verbindungen enthalten vierwertige Urankationen, die von acht Schwefelatomen koordiniert sind. Da die enthaltenen Thiophosphatanionen in den meisten Fällen als zweizähnige Liganden fungieren, entstehen dreidimensionale Netzwerke mit pseudotetraedrisch koordinierten Metallzentren. In der Verbindung U(P2S6)2 durchdringen sich drei identische diamantartige Netzwerke, wodurch optimale Raumerfüllung erreicht wird. Die Einführung von Alkalimetallkationen in das System führt zu einer Vielzahl neuer Verbindungen, deren Eigenschaften durch die Stöchiometrie der Edukte und durch die Kationenradien bestimmt werden. Beispielsweise enthält die Kristallstruktur von Na2U(PS4)2 zweidimensionale anionische [U(PS4)2]n-Schichten, während die analoge Verbindung CsLiU(PS4)2 eine poröse dreidimensionale Netzwerkstruktur besitzt. Der Vergleich der untersuchten quaternären und quinären Verbindungen zeigt, dass eine Korrelation zwischen dem Kationenradius und dem Durchmesser der Poren besteht. Dies lässt auf eine Templatfunktion der Alkalimetallkationen beim Aufbau der anionischen Teilstruktur schließen. Die neuen Verbindungen wurden aus reaktiven Polysulfidschmelzflüssen oder durch Auflösen amorpher Vorläufer in Alkalimetallchloridschmelzen synthetisiert. Die Kristallstrukturen wurden durch Einkristall-Röntgenmethoden bestimmt. Ein Vergleich der magnetischen Eigenschaften der Verbindungen beweist, dass in allen untersuchten Fällen U(IV) vorliegt. Die Substanzen zeigen paramagnetisches Verhalten, in UP2S7 und CsLiU(PS4)2 sind außerdem antiferromagnetische Wechselwirkungen zwischen benachbarten Uranatomen nachweisbar.

Polyelectrolytes and their counterions studied by EPR spectroscopy

In this thesis methods of EPR spectroscopy were used to investigate polyion-counterion interactions in polyelectrolyte solutions. The fact that EPR techniques are local methods is exploited and by employing spin-carrying (i.e., EPR-active) probe ions it is possible to examine polyelectrolytes from the counterions’ point of view. It was possible to gain insight into i) the dynamics and local geometry of counterion attachment, ii) conformations and dynamics of local segments of the polyion in an indirect manner, and iii) the spatial distribution of spin probe ions that surround polyions in solution. Analysis of CW EPR spectra of dianion nitroxide spin probe Fremy’s salt (FS, potassium nitrosodisulfonate) in solutions of cationic PDADMAC polyelectrolyte revealed that FS ions and PDADMAC form transient ion pairs with a lifetime of less than 1 ns. This effect was termed as dynamic electrostatic attachment (DEA). By spectral simulation taking into account the rotational dynamics as a uniaxial Brownian reorientation, also the geometry of the attached state could be characterized. By variation of solvent, the effect of solvent viscosity and permittivity were investigated and indirect information of the polyelectrolyte chain motion was obtained. Furthermore, analysis of CW EPR data also indicates that in mixtures of organic solvent/water PDADMAC chains are preferentially solvated by the organic solvent molecules, while in purely aqueous mixtures the PDADMAC chain segments were found in different conformations depending on the concentration ratio R of FS counterions to PDADMAC repeat units.Broadenings in CW EPR spectra of FS ions were assigned to spin-exchange interaction and hence contain information on the local concentrations and distributions of the counterions. From analysis of these broadenings in terms of a modified cylindrical cell approach of polyelectrolyte theory, radial distribution functions for the FS ions in the different solvents were obtained. This approach breaks down in water above a threshold value of R, which again indicates that PDADMAC chain conformations are altered as a function of R. Double electron-electron resonance (DEER) measurements of FS ions were carried out to probe the distribution of attached counterions along polyelectrolyte chains. For a significant fraction of FS spin probes in solution with a rigid-rod model polyelectrolyte containing charged Ru2+-centers, a bimodal distance distribution was found that nicely reproduced the spacings of direct and next-neighbor Ru2+-centers along the polyelectrolyte: 2.35 and 4.7 nm. For the system of FS/PDADMAC, DEER data could be simulated by assuming a two-state distribution of spin probes, one state corresponding to a homogeneous (3-dimensional) distribution of spin probes in the polyelectrolyte bulk and the other to a linear (1-dimensional) distribution of spin probes that are electrostatically condensed along locally extended PDADMAC chain segments. From this analysis it is suggested that the PDADMAC chains form locally elongated structures of a size of at least ~5 nm.

Rod-coil copolymer structures

Skalenargumente werden verwendet, um Rod-Coil Copolymere mit fester Zusammensetzung von steifen Stäbchen und flexiblen Ketten zu studieren. In einem selektiven Lösungsmittel, in dem sich nur die Ketten lösen, bildet ein Rod-Coil Multiblock zylinderförmige Micellen aus aggregierten Stäbchen verbunden durch Kettenstücke. Die Stäbchen aggregieren, um Energie zu gewinnen. Dieser Prozeß wird durch den Entropieverlust der flexiblen Ketten ausgeglichen. Das Adsorptionsverhalten von Aggregaten aus parallel aneinandergelagerten, einzelnen Rod-Coil Diblöcken in selektivem Lösungsmittel wird anhand von erweiterten Skalenbetrachtungen diskutiert. Wenn ein solches Aggregat mit den Stäbchen parallel zur Oberfläche adsorbiert, verschieben sich die Stäbchen gegeneinander. Zusätzlich werden die Stabilität der adsorbierten Aggregate und andere mögliche Konfigurationen untersucht. Um einen Rod-Coil Multiblock mit variabler Zusammensetzung zu studieren, wird eine Feldtheorie entwickelt. Jedes Segment kann entweder steif oder flexibel sein. Das System zeigt drei Phasenzustände, offene Kette, amorphe Globule und flüssig-kristalline Globule. Beim Übergang von amorpher zu flüssig-kristalliner Globule steigt der Anteil an steifen Segmenten rapide an. Dieser Übergang wird durch die isotrope Wechselwirkung zwischen den steifen Segmenten und die anisotrope Oberflächenenergie der Globule verursacht.

Extended arm polyphenylene dendrimers

In order to eliminate the de Gennes packing problem, which usually limits the attainable size of dendrimers, a new branching unit containing para-tetraphenylene ethynyl arms has been synthesized and utilized in the preparation of dendrimers of the Müllen type. The divergent principle of synthesis, based on the Dilthey reaction, could be carried up to sixth generation which contains 2776 benzene rings and possesses a diameter in the 27 nm range ("exploded dendrimer"). Monodispersity and dimensions of this and the lower generation species have been studied by MALDI-TOF MS (including the very recent superconducting tunnel junction detector), by size-exclusion chromatography, dynamic light scattering, transmission electron microscopy, and atomic force microscopy. Interesting features, apart from the huge dimension, are the low density and high porosity of these giant molecules which cause extensive aggregation in the gas phase, flattening on solid support (AFM) and the ready incorporation of guest molecules in the condensed phase. Since the synthesis of the para-tetraphenylene arms is quite elaborate, similar dendrimers containing para-terphenylene arms have been prepared; they are accessible more economically ("semi-exploded dendrimers"). It has been shown that they in several aspects mimic the features of the "exploded dendrimers". In order to take advantage of the presence of large internal cavities in this dendrimer type, dendrons containing -C≡C- triple bonds have also been incorporated. Surprisingly, they are readily hydrogenated under the condition of heterogeneous catalysis (Pd/C) which demonstrates the large size of the cavities. As revealed by a quartz microbalance study the post-hydrogenation dendrimers are less prone to incorporate guest molecules than before hydrogenation. Obviously, the more flexible nature of the former reduces porosity, it also leads to significant shrinkage. An interesting perspective is the use of homogeneous hydrogenation catalysts of variable size with the aim of determining the dimension of internal free space.

A molecular approach towards tethered bilayer lipid membranes: synthesis and characterization of novel anchor lipids

Tethered bilayer lipid membranes (tBLMs) are a promising model system for the natural cell membrane. They consist of a lipid bilayer that is covalently coupled to a solid support via a spacer group. In this study, we developed a suitable approach to increase the submembrane space in tBLMs. The challenge is to create a membrane with a lower lipid density in order to increase the membrane fluidity, but to avoid defects that might appear due to an increase in the lateral space within the tethered monolayers. Therefore, various synthetic strategies and different monolayer preparation techniques were examined. Synthetical attempts to achieve a large ion reservoir were made in two directions: increasing the spacer length of the tether lipids and increasing the lateral distribution of the lipids in the monolayer. The first resulted in the synthesis of a small library of tether lipids (DPTT, DPHT and DPOT) characterized by 1H and 13C NMR, FD-MS, ATR, DSC and TGA. The synthetic strategy for their preparation includes synthesis of precursor with a double bond anchor that can be easily modified for different substrates (e.g. metal and metaloxide). Here, the double bond was modified into a thiol group suitable for gold surface. Another approach towards the preparation of homogeneous monolayers with decreased two-dimensional packing density was the synthesis of two novel anchor lipids: DPHDL and DDPTT. DPHDL is “self-diluted” tether lipid containing two lipoic anchor moieties. DDPTT has an extended lipophylic part that should lead to the preparation of diluted, leakage free proximal layers that will facilitate the completion of the bilayer. Our tool-box of tether lipids was completed with two fluorescent labeled lipid precursors with respectively one and two phytanyl chains in the hydrophobic region and a dansyl group as a fluorophore. The use of such fluorescently marked lipids is supposed to give additional information for the lipid distribution on the air-water interface. The Langmuir film balance was used to investigate the monolayer properties of four of the synthesized thiolated anchor lipids. The packing density and mixing behaviour were examined. The results have shown that mixing anchor with free lipids can homogeneously dilute the anchor lipid monolayers. Moreover, an increase in the hydrophylicity (PEG chain length) of the anchor lipids leads to a higher packing density. A decrease in the temperature results in a similar trend. However, increasing the number of phytanyl chains per lipid molecule is shown to decrease the packing density. LB-monolayers based on pure and mixed lipids in different ratio and transfer pressure were tested to form tBLMs with diluted inner layers. A combination of the LB-monolayer transfer with the solvent exchange method accomplished successfully the formation of tBLMs based on pure DPOT. Some preliminary investigations of the electrical sealing properties and protein incorporation of self-assembled DPOT and DDPTT-based tBLMs were conducted. The bilayer formation performed by solvent exchange resulted in membranes with high resistances and low capacitances. The appearance of space beneath the membrane is clearly visible in the impedance spectra expressed by a second RC element. The latter brings the conclusion that the longer spacer in DPOT and the bigger lateral space between the DDPTT molecules in the investigated systems essentially influence the electrical parameters of the membrane. Finally, we could show the functional incorporation of the small ion carrier valinomycin in both types of membranes.

Heteroatom containing polycyclic aromatic hydrocarbons with positive charge - synthesis and characterization

The synthesis and characterization of various heteroatom containing PAHs with positive charge were investigated in this work: 1. A series of 2-phenyl-benzo[8,9]quinolizino[4,5,6,7-fed]phenanthridinylium (PQP) salts with different alkyl chains and anions were synthesized. The synthesis of the extended derivates of PQP salts with two fused benzene rings, 2-phenyl-naphthacene[1,2]quinolizino[3,4,5,6-def]benzo[i]phenanthridinium (DBPQP) tetrafluoroborate was also developed. The self-assembly behavior of these amphiphilic PAHs was investigated in methanolic solution as well as in the bulk. Various aggregates with different morphologies such as fibers, tubes and vesicals were obtained from their solution. All of these morphology changes could be ascribed to the changes in intermolecular interactions which resulting from the difference in the molecular structures such as aromatic cores, alkyl chains and counterions. 2. The synthetic strategy of oxygen containing positively charged PAHs, benzo[5,6]naphthaceno[1,12,11,10-jklmna]xanthylium (BNAX) salts and its dibenzo derivates, DBNAX salts were developed. With a similar method, sulfur containing benzo[5,6]naphthaceno[1,12,11,10-jklmna]thioxanthylium (BNATX) salts were also synthesized. Various BNAX salts with different alkyl chains could be obtained and their supramolecular behavior were investigated. A discotic liquid crystalline behavior was observed for di- (3-25) and tridodecyl (3-27) substituted BNAX salts and both compounds exhibited large unit cell in their 2D-WAXS patterns which could be attributed to the formation of dimer structures. By drop casting their methanolic solution on silicon wafers, similar nanoscaled fibers from monododecyl substituted BNAX bromide 3-24 and DBNAX bromide 3-35 could be observed. 3. A novel synthetic method toward nitrogen containing 14-phenyl-dibenzo[jk,mn]naphtho[2,1,8-fgh]thebenidinium (DBNT) salts was also developed. In this method, the undehydrogenated precursor of DBNT, dibenzoacridinium salt could be produced directly from the reaction between dibenzoxanthenylium derivates and amine/aniline in reasonable yields. Various DBNT salts with different alkyl and alkylphenyl chains on their nitrogen atom were synthesized in this two-step method. The self-assembly behavior of two alkylated DBNT salts, 4-15a and 4-18b was also studied in this work. Compound 4-15a formed nanoscaled fibers and helical aggregates were obtained from 4-18b in their methanolic solutions. 4. Various ionic complexes were derived by complexing PQP and DBPQP cations with different sulfate/sulfonate group containing anionic surfactants. The ionic complexes resulting from the ionic self-assembly (ISA) method exhibited self-assembly behavior which was controllable by the species and shape of cations and anions. Various aggregates such as nanofibers and spherical aggregates could be produced from their methanolic solution in a defined manner conveniently.

Amphiphile Kammpolymere von Poly(2,7-carbazol)

Die vorliegende Dissertation beschreibt die Verschmelzung der Konzepte von konjugierten Polyelektrolyten und amphiphilen Kammpolymeren in Form von konjugierten, Poly(2,7-carbazol)-basierenden Polyelektrolytkammpolymeren mit Poly(L-lysin)seitenketten sowie Alkyl- oder Polyethylenglykolsubstituenten. Die Synthese wurde durch die Suzuki-Polykondensation von monodispersen Makromonomeren erreicht. Hierbei fand die Precursor-Synthesestrategie Anwendung. In diesem Ansatz war die ε-Aminofunktion des Lysins mit einer Benzoyloxycarbonylschutzgruppe geschützt. Der Aufbau der benötigten monodispersen Makromonomere erfolgte durch die Kupplung von Poly(L-lysin)ketten an den Carbazolbaustein mittels eines aktivierten Esters. Eine Besonderheit der hergestellten Kammpolymere lag in den konformativen Eigenschaften seiner einzelnen Komponenten. Dabei konnte die Konformation der Poly(L-lysin)seitenketten infolge ihres Polyelektrolyt- und Peptidcharakters gezielt mit Hilfe des pH-Wertes und der Ionenstärke variiert werden, wohingegen das konjugierte Rückgrat seine steife Konformation beibehielt. Infolge des Polyelektrolytcharakters zeigte sich zudem, dass die Polymere in sauren und neutralen, wässrigen Lösungen zu großen Teilen in Form von Domänenstrukturen auftraten, während im Basischen eine sofortige Aggregation eintrat. Ein weiteres Merkmal der vorgestellten Polyelektrolytkammpolymere war ihr amphiphiler Charakter. Diese Amphiphilie der in dieser Arbeit vorgestellten Polyelektrolytkammpolymere beeinflusste dabei maßgeblich ihre unstrukturierte Anordnung in Lösung, in der festen Phase sowie an Oberflächen.

Extended donor and acceptor molecules for organic electronics

Die Untersuchung von halbleitenden Materialien auf der Basis von organischen Molekülen stellt ein Gebiet der angewandten Forschung an der Schwelle zur industriellen Nutzung dar. Geringes Gewicht und hohe mechanische Flexibilität ermöglichen völlig neue Produkte, die mit anorganischen Halbleitern nicht zu realisieren sind. Die Herstellung von Bauteilen wie Transistoren, Solarzellen oder Leuchtdioden aus organischen Materialien ist ein komplexes Gebiet, das einer Vielzahl von unterschiedlichen Optimierungen bedarf, um eine konkurrenzfähige Leistung zu erreichen. Die synthetische organische Chemie bietet vielfältige Möglichkeiten, mit maßgeschneiderten Lösungen zum Optimierungsprozess beizutragen. Zum einen können neue aktive Materialien hergestellt werden mit besserer Leistung und leichterer Verarbeitbarkeit. Zum anderen sind Substanzen zugänglich, die z.B. bei der Ladungsträgerinjektion hilfreich sein können.rnIn dieser Arbeit wurde an beiden dieser Fronten gearbeitet. Dabei lag die Entwicklungsstrategie darin, ausgedehnte π-konjugierte Moleküle herzustellen, die entweder besonders elektronenarme Akzeptoren oder elektronenreiche Donoren darstellen. Die genaue Kontrolle der elektronischen Niveaus stellt einen wichtigen Bestandteil dar, um niedrige elektrische Kontaktbarrieren zu Metallen zu erreichen und ausreichend stabile Materialien zu erreichen.rnDer erste Fokus der Arbeiten lag in der Funktionalisierung von Coronen. Dieser PAH stellt einen guten Kompromiss bezüglich seiner Größe dar: Er ist groß genug, um Diffusion in andere Schichten von Bauteilen zu vermeiden, aber nicht zu groß, um Verarbeitung durch Vakuumsublimation zu ermöglichen. Bislang sind praktisch keine Coronen-Derivate in der Literatur beschrieben, weshalb eine neue Synthese entwickelt werden musste, die die Einführung starker Donor- und Akzeptorfunktionalitäten erlaubt. Die photochemische Cyclodehydrierung von substituierten [2.2.2]paracyclophan-trienen stellte sich als hervorragende Möglichkeit heraus, dies zu bewerkstelligen. Es wurde eine Reihe von methoxy-substitutierten Coronenen mit unterschiedlicher Symmetrie hergestellt. Mittels optischer Spektroskopie konnte gezeigt werden, dass Methoxygruppen wenig Einfluss auf die elektronischen Eigenschaften von Coronen haben. Unter Spaltung der Methylether und anschließender Oxidation allerdings sind Coronenketone zugänglich, welche bis zu drei α-Diketongruppen besitzen. Diese Moleküle sind enorm starke Akzeptoren, was durch Cyclovoltammetrie und Vergleich zu anderen Akzeptoren eindrucksvoll gezeigt werden konnte. Die Sublimation dieses Akzeptors auf die Oberfläche von Metallen zeigt einen dramatischen Einfluss auf die Austrittsarbeit dieses Metalls, was zur Herstellung eines ohmschen Kontakts zu organischen Halbleitern von außerordentlichem Nutzen ist. rnDen zweiten Teil der Arbeit bilden Benzodithiophen enthaltende Polymere, die für den Einsatz als aktive Komponente in elektronischen Bauteilen entwickelt wurden. Nach systematischer Strukturoptimierung wurde ein Polymer enthalten, welches in einem Feldeffekt-Transistor auf Standard-Silizium-Substraten Ladungsträger-Mobilitäten über 0,1 cm2/Vs erreicht mit großer Reproduzierbarkeit und ausgezeichneter Transistor-Charakteristik. Es konnte gezeigt werden, dass die durch die Monomergeometrie erzeugte Kurvung des Polymers zu einem optimalen Kompromiss aus Löslichkeit und effektiver Packung darstellt. Auf für industrielle Anwendungen besonders interessanten polymer-basierten Substraten wurde eine noch erheblich bessere Leistung gezeigt. Auf einem PET-Substrat wurden Feldeffekt-Mobilitäten von 0,5 cm2/Vs gemessen mit überzeugenden Reproduzierbarkeit und Stabilität.rnDamit konnte in der Arbeit ein bedeutender Beitrag zur Weiterentwicklung von Materialien für den Einsatz in elektronischen Bauteilen geleistet werden. Die Substanzen versprechen noch erhebliches Potenzial nach intensiver Optimierung und wurden deshalb zum Patent angemeldet.rn

Polymer brushes - Wetting properties and my-patterning

In this work polymer brushes on both flat and curved substrates were prepared by grafting from and grafting to techniques. The brushes on flat substrates were patterned on the µm-scale with the use of an inkjet printer. Thus it was demonstrated that chemistry with an inkjet printer is feasible. The inkjet printer was used to deposit microdroplets of acid. The saponification of surface-immobilized ATRP initiators containing an ester bond occurred in these microdroplets. The changes in the monolayer of ester molecules due to saponification were amplified by SI-ATRP. It was possible to correlate the polymer brush thickness to effectiveness of saponification. The use of an inkjet printer allowed for simultaneously screening of parameters such as type of acid, concentration of acid, and contact time between acid and surface. A dip-coater was utilized in order to test the saponification independent of droplet evaporation. The advantage of this developed process is its versatility. It can be applied to all surface-immobilized initiators containing ester bonds. The technique has additionally been used to selectively defunctionalize the initiator molecules covering a microcantilever on one side of a cantilever. An asymmetric coating of the cantilever with polymer brushes was thus generated. An asymmetric coating allows the use of a microcantilever for sensing applications. The preparation of nanocomposites comprised of polyorganosiloxane microgel particles functionalized with poly(ethyl methacrylate) (PEMA) brushes and linear, but entangled, PEMA chains is described in the second major part of this thesis. Measurement of the interparticle distance was performed using scanning probe microscopy and grazing incidence small angle X-ray scattering. The matrix molecular weight at which the nanocomposite showed microphase separation was related to abrupt changes in inter-particle distance. Microphase separation occurred once the matrix molecular exceeded the molecular weight of the brushes. The trigger for the microphase separation was a contraction of the polymer brushes, as the measurements of inter-particle distance have revealed. The brushes became impenetrable for the matrix chains upon contraction and thus behaved as hard spheres. The contraction led to a loss of anchoring between particles and matrix, as shown by nanowear tests using an atomic force microscope. Polyorganosiloxane microgel particles were functionalized with 13C enriched poly(ethyl methacrylate) brushes. New synthetic pathways were developed in order to enrich not the entire brush with 13C, but only exclusively selected regions. 13C chemical shift anisotropy, an advanced NMR technique, can thus be used in order to gather information about the extended conformations in the 13C enriched regions of the PEMA chains immobilized on the µ-gel-g-PEMA particles. The third part of this thesis deals with the grafting to of polymeric fullerene materials on silicon substrates. Active ester chemistry was employed in order to prepare the polymeric fullerene materials and graft these materials covalently on amino-functionalized silicon substrates.rn

From large polycyclic aromatic hydrocarbons to extended aromate-rich networks

The common ground of this study is the development of novel synthetic strategies to extended one-, two- and three-dimensional aromate-rich systems for which a number of applications are envisaged. rnThe point of departure is the synthesis and characterization of highly symmetric macrocyclic PAHs (polycyclic aromatic hydrocarbons) for which various aspects of supramolecular chemistry will be investigated. The versatility of the Yamamoto macrocyclization will be demonstrated on the basis of a set of cyclic trimers that exhibit a rich supramolecular chemistry. 1,10-phenanthroline, triphenylene and ortho-terphenyl building blocks have been successfully assembled to the corresponding macrocycles following the newly developed synthetic route. Scanning-tunneling microscopy (STM) and two-dimensional wide-angle X-ray scattering (2D-WAXS) were used to study the two- and three-dimensional self-assembly, respectively.rnSecondly, the development of chemical approaches to highly shape-anisotropic graphene nanoribbons (GNRs) and related nanographene molecules shall be discussed. Aryl-aryl coupling was used for the bottom-up fabrication of dendronized monomers, polymers and model compounds. Subsequently, these structures were converted into the final graphene material using oxidative (Scholl-type) cyclodehydrogenation. The GNRs thus obtained are characterized by an unprecedented length and lateral extension. The relevance of structural tailoring in the field of well-defined graphene materials is discussed in detail as only the chemical approach provides full geometry control. rnLastly, novel pathways towards the synthesis of extended three-dimensional networks that are dominated by nitrogen-rich motifs will be presented. If porous, these materials hold a great potential in the fields of gas and energy storage as well as for applications in catalysis. Hence, poly(aminal) networks based on melamine as crosslinking unit were synthesized and characterized with respect to the applications mentioned above. As set of conjugated poly(azomethine) networks was investigated regarding their use as a novel class of organic semiconductors for photocatalytic water splitting. The network structures described in this chapter can also be subjected to a controlled pyrolysis yielding mesoporous, nitrogen-rich carbon materials that were evaluated as active component for supercapacitors.rn

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