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An exhaustive discussion of constraint qualifications (CQ) and stationarity concepts for mathematical programs with equilibrium constraints (MPEC) is presented. It is demonstrated that all but the weakest CQ, Guignard CQ, are too strong for a discussion of MPECs. Therefore, MPEC variants of all the standard CQs are introduced and investigated. A strongly stationary point (which is simply a KKT-point) is seen to be a necessary first order optimality condition only under the strongest CQs, MPEC-LICQ, MPEC-SMFCQ and Guignard CQ. Therefore a whole set of KKT-type conditions is investigated. A simple approach is given to acquire A-stationarity to be a necessary first order condition under MPEC-Guiganrd CQ. Finally, a whole chapter is devoted to investigating M-stationary, among the strongest stationarity concepts, second only to strong stationarity. It is shown to be a necessary first order condition under MPEC-Guignard CQ, the weakest known CQ for MPECs.
The invertebrate trace fossils from the Keuper (Upper Triassic) of the southern part of the Germanic Basin are revised. The Keuper sediments of the Germanic Basin are predominantly composed of rocks representing various nonmarine environments dominated by red-bed facies. The Würzburg Formation, the Stuttgart Formation, and the Hassberge Formation, all representing deposits of extended river systems, contain the richest ichnofauna. Trace fossil abundance is generally low and their occurrence is scattered. The studied material can be assigned to 28 ichnogenera, 38 ichnospecies, and 6 vernacular forms. Among the described trace fossils are one new ichnogenus and three new ichnospecies. Apart from the revision of the invertebrate trace fossils from the Keuper numerous related ichnotaxa from various localities and ages have been studied and revised. In the course of these studies several ichnotaxa are synonymised, lowered in rank, and new ichnogenera, subichnogenera, and ichnospecies are suggested. In addition, general guidelines for naming, and methodologies for studying invertebrate trace fossils are presented. The palaeoecology of three ichnocoenoses, one from the Würzburg Formation and two from the Hassberge Formation in Lower Franconia are briefly discussed.
The design of ligands is one of the most important and simultaneously challenging fields of research in modern inorganic chemistry. The aim is to synthesise ligands that can serve as coordination units for a broad variety of metal fragments and different purposes. The ligands have to be very flexible concerning their donating behaviour and geometrical prerequisites in order to correspond to the required metal fragments.
We investigate the single particle static and dynamic properties at zero temperature within the Hubbard an three-band-Hubbard model for the superconducting copper oxides. Based on the recently proposed self-energy functional approach (SFA) [M.Potthoff, Eur. Phys. J. B 32 429 (2003)], we present an extension of the cluster-perturbation theory (CPT) to systems with spontaneous broken symmetry. Our method accounts for both short-range correlations and long-range order. Short-range correlations are accurately taken into account via the exact diagonalization of finite clusters. Long-range order is described by variational optimization of a ficticious symmetry-breaking field. In comparison with related cluster methods, our approach is more flexible and, for a given cluster size, less demanding numerically, especially at zero temperature. An application of the method to the antiferromagnetic phase of the Hubbard model at half-filling shows good agreement with results from quantum Monte-Carlo calculations. We demonstrate that the variational extension of the cluster-perturbation theory is crucial to reproduce salient features of the single-particle spectrum of the insulating cuprates. Comparison of the dispersion of the low-energy excitations with recent experimental results of angular resolved photoemission spectroscopy (ARPES) allows us to fix a consistent parameter set for the one-band Hubbard model with an additional hopping parameter t' along the lattice diagonal. The doping dependence of the single-particle excitations is studied within the t-t-U Hubbard model with special emphasis on the electron doped compounds. We show, that the ARPES results on the band structure and the Fermi surface of Nd{2-x}Ce_xCuOCl_{4-\delta} are naturally obtained within the t-t-U Hubbard model without further need for readjustment or fitting of parameters, as proposed in recent theoretical considerations. We present a theory for the photon energy and polarization dependence of ARPES intensities from the CuO2 plane in the framework of strong correlation models. The importance of surface states for the observed experimental facts is considered. We show that for electric field vector in the CuO_2 plane the ‘radiation characteristics’ of the O 2p_{\sigma} and Cu 3d_{x^2-y^2} orbitals are strongly peaked along the CuO_2 plane, i.e. most photoelectrons are emitted at grazing angles. This suggests that surface states play an important role in the observed ARPES spectra, consistent with recent data from Sr_2CuCl_2O_2. We show that a combination of surface state dispersion and Fano resonance between surface state and the continuum of LEED-states may produce a precipitous drop in the observed photoelectron current as a function of in-plane momentum, which may well mimic a Fermi-surface crossing. This effect may explain the simultaneous ‘observation’ of a hole-like and an electron-like Fermi surfaces in Bi_2Sr_2CaCu_2O_{8+\delta} at different photon energies.
In this thesis, a phenomenological phase-fluctuation model for the pseudogap regime of the underdoped cuprates was discussed. The key idea of the phase-fluctuation scenario in the high-T_c superconductors is the notion that the pseudogap observed in a wide variety of experiments arises from phase fluctuations of the superconducting gap. In this scenario, below a mean-field temperature scale T_c^{MF}, a d_{x^2-y^2}-wave gap amplitude is assumed to develop. However, the superconducting transition is suppressed to a considerably lower transition temperature T_c by phase fluctuations. In the intermediate temperature regime between T_c^{MF} and T_c, phase fluctuations of the superconducting order parameter give rise to the pseudogap phenomena. The phenomenological phase-fluctuation model discussed in this thesis consists of a two-dimensional BCS-like Hamiltonian where the phase of the pairing-amplitude is free to fluctuate. The fluctuations of the phase were treated by a Monte Carlo simulation of a classical XY model. First, the density of states was calculated. The quasiparticle tunneling conductance (dI/dV) obtained from our phenomenological phase fluctuation model was able to reproduce characteristic and salient features of recent scanning-tunneling studies of Bi2212 and Bi2201 suggesting that the pseudogap behavior observed in these experiments arises from phase fluctuations of the d_{x^2-y^2}-wave pairing gap. In calculating the single-particle spectral weight, we were further able to show how phase fluctuations influence the experimentally observed quasiparticle spectra in detail. In particular the disappearance of the BCS-Bogoliubov quasiparticle band at T_c and the change from a more V-like superconducting gap to a rather U-like pseudogap above T_c can be explained in a consistent way by assuming that the low-energy pseudogap in the underdoped cuprates is due to phase fluctuations of a local d_{x^2-y^2}-wave pairing gap with fixed magnitude. Furthermore, phase fluctuations can explain why the pseudogap starts closing from the nodal points, whereas it rather fills in along the anti-nodal directions and they can also account for the characteristic temperature dependence of the superconducting (pi,0)-photoemission-peak. Next, we have shown that the "violation" of the low-frequency optical sum rule recently observed in the SC state of underdoped Bi2212, which is associated with a reduction of kinetic energy, can be related to the role of phase fluctuations. The decrease in kinetic energy is due to the sharpening of the quasiparticle peaks close to the superconducting transition at T_c == T_{KT}, where the phase correlation length xi diverges. A detailed analysis of the temperature and frequency dependence of the optical conductivity sigma(omega)=sigma_1(omega)+i sigma_2(omega) revealed a superconducting scaling of sigma_2(omega), which starts already above T_c, exactly as observed in high-frequency microwave conductivity experiments on Bi2212. On the other hand, our model was only able to account for the characteristic peak, which is observed in sigma_1(omega) close to the superconducting transition, after the inclusion of an additional marginal-Fermi-liquid scattering-rate in the optical conductivity formula. Finally, we calculated the static uniform diamagnetic susceptibility. It turned out that the precursor effects of the fluctuating diamagnetism above T_c are very small and limited to temperatures close to T_c in a phase-fluctuation scenario of the pseudogap. Instead, the temperature dependence of the uniform static magnetic susceptibility is dominated by the Pauli spin susceptibility, which displayed a very characteristic temperature dependence, independent of the details of the gap function used in our model. This temperature dependence is qualitatively very similar to the experimentally observed change of the Knight-shift as a function of temperature in underdoped Bi2212.
The present thesis reports about vibrational and quantum chemical investigations on model systems undergoing photochemical processes and pharmaceutically active compounds, respectively. Infrared (IR) and Raman spectroscopy were applied for the characterization of the ground state molecular structure. Moreover, resonance Raman (RR) spectra contain additional information about the resonantly enhanced excited state molecular structure. A quantitative resonance Raman intensity analysis in conjunction with the simultaneous simulation of the absorption spectra by means of time-dependent propagation methods was accomplished in order to extract valuable information about the excited state molecular structures of the investigated systems. Surface enhanced Raman scattering (SERS) allows one to determine the interaction and adsorption site of active agents on a metal substrate. Furthermore, density functional theory (DFT) and potential energy distribution (PED) calculations were carried out for an exact assignment of the vibrational spectra. Complete active space self consistent field (CASSCF) and configuration interaction (CI) calculations for some model systems were also performed to assess the experimental results on the excited state potential surfaces. The fundamentals of resonance Raman spectroscopy are treated in detail, describing the physical processes and emphasizing the theoretical methodologies which allow one to obtain the information about the resonantly excited state via an RR intensity analysis. The Brownian oscillator model to determine the solvent reorganization energy is briefly presented. Furthermore, the SERS enhancement mechanisms and selection rules to determine the orientation of the molecules adsorbed on the metal substrate are discussed. The Hartree-Fock approach to calculate the ground state geometry is expatiated, and the basic characteristics of the CI and CASSCF calculations are specified. The chapter ends with a short description of the DFT calculations. Chapter 4 deals with the investigation of the excited state intramolecular proton transfer of the model system, 1-hydroxy-2-acetonaphthone (HAN). The vibrations showing the highest displacement parameters correspond to stretching and in-plane deformation modes of the naphthalene ring and the conjugated carbonyl group, while the OH stretching mode exhibits no observable enhancement. The cooperative effect of the skeletal vibrations reduces the distance between the carbonyl and hydroxyl oxygen atoms in accordance with a general electron density redistribution. Hence, the leading force in the proton transfer process is the increase in electron density on the carbonyl group and the decrease of the negative charge on the hydroxyl oxygen. In chapter 5 the structural and vibrational characteristics of the organic mixed valence system N,N,N’,N’-tetraphenylphenylenediamine radical cation (1+) are discussed. The resonance Raman measurements showed that at least eight vibrational modes are strongly coupled to the optical charge transfer process in (1+). These Franck-Condon active modes were assigned to symmetric vibrations. The most enhanced band corresponds to the symmetric stretching mode along the N-phenylene-N unit and exhibits the largest vibrational reorganization energy. Nevertheless, symmetric stretching modes of the phenylene and phenyl units as well as deformation modes are also coupled to the electronic process. The total vibrational reorganization energy of these symmetrical modes is dominant, while the solvent induced broadening and reorganization energy are found to be small. Hence, (1+) adopts a symmetrical delocalized Robin-Day Class III structure in the ground state. Chapter 6 reports about a vibrational spectroscopic investigation of a model organic photorefractive thiophene derivative, 2-(N,N-diethylamino)-5-(2’,2’-dicyanovinyl)-thiophene. The geometry of the first excited state were optimized and the FC parameters were calculated using the configuration interaction with single excitations method. These calculations show that the contribution of the zwitterionic structure to the excited state is significantly higher than in the ground state. The resonance Raman spectra indicate that several stretching modes along the bonds connecting the donor and acceptor moieties as well as the S-C stretching vibrations are enhanced. Chapter 7 presents the vibrational analysis of an aziridinyl tripeptide, a cysteine protease inhibitor active drug. The vibrational analysis reveals stronger H-bonding of the aziridine NH unit in the solid state of the aziridinyl tripeptide than in the liquid electrophilic building block, indicating medium strong intermolecular H-bond interactions in the crystal unit. The amide hydrogen atoms of the aziridinyl tripeptide are involved in weaker H-bonds than in an epoxide analogon. Furthermore, the characteristic vibrational modes of the peptide backbone were discussed. Chapter 8 reports on the adsorption mechanism of two related anti-leukemia active agents, 6-mercaptopurine (6MP) and 6-mercaptopurine-ribose (6MPR) on a silver colloid. Both molecules adsorb through the N1 and possibly S atom on the metal surface under basic conditions. The SERS spectra recorded for acidic pH values showed that the ribose derivative exhibits a different adsorption behavior compared to the free base. 6MP probably adsorbs on the silver sol through the N9 and N3 atoms, while 6MPR interacts with the surface via the N7 and probably S atoms. Around critical biological concentrations and pH values i.e. at low concentrations and almost neutral condition (pH 7-9), 6MPR interacts with the substrate through both N7 and N1 atoms, possibly forming two differently adsorbed species, while for 6MP only the species adsorbed via N1 was evidenced.
The aim of this work was to test and tailor new sol gel derived hybrid polymer coatings for the incorporation of photochromic spirooxazines and chromenes. The development and optimisation of work was performed via two different routes (dye and matrix ones), that led to photochromic multi-layer coating systems with coloration depth and photostabilities comparable to commercially available products. Hybrid sol-gel derived polymers were found to be suitable host materials for photochromic dyes. Matrix properties and the type of entrapment heavily influence the photochromic activity, as well as the degradation rate and the kinetics of incorporated dyes. Dyes incorporated within more polar and rigid matrices were found to show slower kinetics and higher coloration but associated with faster photodegradation. On the other hand, hosts with less polar sites, low residual water concentration and low rigidity are preferable in terms of photostability. Significant differences were found for physically incorporated and covalently grafted chromophores. Using silylated dyes that can participate in the sol-gel process, the photodegradation rate of the whole system can be decreased as compared to the physically entrapped systems. The higher photostability and slower kinetics for covalently bonded photochromes is probably due to sterical hindrance. Addition of proper stabilisers increases the photostability: The employment of UV light stabilisers, excited state quenchers and HALS was found to be beneficial but not sufficient. Besides the presence of stabilisers, also the reduction of oxygen migration into the coating (by a hard top coat and an inorganic anti reflective coating) strongly increases stability of photochromes. Finally, it was found that the separation of photochromes within two (or more) different layers leads to a further improvement of the coloration and fatigue behaviour of the whole coating stack, presumably by preventing the contact of dye molecules with excited states of other molecules or their degradation products. These latter findings are considered to pave the way for stable photochromic coatings based on hybrid polymers. Future development should be directed towards more photostable yellow and red switching dyes. The results of the present investigations should help to choose the most suitable molecular environments for the tested photochromes in terms of photostability, kinetics and activity, which is considered relevant with respect to potential applications, in particular in the ophthalmic sector. Furthermore, the interesting combination of properties of this type of materials offers a large potential with regard to many applications, such as coatings for sunglasses, radiation protectors, filters, sunroofs, reversible markings, printing applications and smart textiles.
Darwin’s theory of sexual selection explains the evolution of flamboyant male traits through female choice. It does not, however, address the question why males typically court and females choose. This asymmetry is now thought to be the result of the dichotomy in reproductive expenditures: Females invest primarily in parental care and males invest predominantly in mate attraction or competition. Based on this view, several hypotheses for the origin and maintenance of female preferences have been proposed. They include the classical sexual selection models, i.e. female choice for direct and indirect benefits as well as the more recent concepts of female choice for genetic compatibility and receiver bias models. The complementary choice scenario assumes that females choose mates with regard to genetic compatibility. The receiver bias concept views male traits and female preferences within the framework of communication theory and encompasses various more or less distinct models, two of which are sensory exploitation and sensory trap. Both models postulate that male signals evolved in response to pre-existing perceptual biases of females. The sensory trap hypothesis additionally emphasizes that pre-existing female preferences for certain cues evolved in non-sexual contexts, like e.g. foraging. Males that mimic these cues and elicit a favourable out-of-context response by females may increase their reproductive success. This thesis examines the evolution of the pheromone communication in the European Beewolf Philanthus triangulum. Beewolf females are specialized hunters of honeybees and provision their progeny with paralyzed prey. Male beewolves establish and scent mark territories with a pheromone from a head gland to court females. The concordant occurrence of the otherwise rare alcohol (Z)-11-eicosen-1-ol in the male pheromone and in the alarm pheromone of honeybees, the exclusive prey of the females, suggests a sensory trap process as an explanation for the evolution of the male pheromone in P. triangulum. According to this hypothesis, we tested three predictions: First, foraging honeybees should emit eicosenol. Via chemical analysis we could show that honeybee workers in fact smell of eicosenol during foraging. The occurrence of eicosenol on the cuticle and in the headspace of honeybees is a new finding. Second, beewolf females should use eicosenol as a cue for prey detection or identification. Using behavioural assays, we demonstrated that prey recognition in beewolf females is accomplished by olfactory cues and that eicosenol is an essential cue in this process. The sensory sensitivity of beewolf females to eicosenol must be extremely high, since they perceive the trace amounts present in the head space of honeybees. This sensitivity may be due to specialized olfactory receptors on the antennae of beewolf females. An inventory of the flagellar sensilla of both sexes showed that females carry one type of sensillum that is missing in males, the large sensillum basiconicum. This chemo-sensitive sensillum most likely plays a role in prey recognition. The third prediction is that beewolf males incorporate bee-like substances, including eicosenol, into their pheromone, and possibly catch females in a sensory trap. A reanalysis of the male pheromone revealed, among others, eicosenol and several alkanes and alkenes as pheromonal compounds. Our own analyses of the chemical profiles of honeybee workers and beewolf pheromone disclosed a surprisingly strong resemblance between the two. Eight of the eleven substances of the male pheromone are also present on the cuticle and in the headspace of honeybees. Notwithstanding this similarity, the male pheromone does not function as a sensory trap for females. Nevertheless, the extensive congruence between the odour bouquets of the females’ prey and the male pheromone strongly suggests that the male signal evolved to exploit a pre-existing female sensory bias towards bee odour, and, thus represents a case of sensory exploitation. In addition to the above described scenario concerning mostly the ‘design’ of the male pheromone, we addressed possible indirect benefits female beewolves may gain by basing their mating decisions on signal ‘content’. We show that the pheromone of male beewolves varies between families and may, thus, contain information about the degree of relatedness between the female and a potential mate. Females could use this information to choose genetically complementary males to avoid inbreeding and the production of infertile diploid sons. Collectively, our results provide strong evidence for a receiver bias process in the evolution of the male pheromone of P. triangulum. They further indicate that the pheromone composition may subsequently have been influenced by other natural or sexual selection pressures, like e.g. complementary female choice.
Insects exhibit complex systems of communication with chemical signalling being the most important mode. Although there are many studies on chemical communication in insects, the evolution of chemical signals is not well understood. Due to the conflict of interests between individuals, different selective pressures might act on sender and receiver. In this thesis I investigate different types of communication where either the sender, the receiver or both parties yield benefits. These studies were conducted with one digger wasp species, honeybees, one chrysidid wasp, and three ant species. Senders might benefit by exploiting existing preferences of receivers. Such sensory exploitation might influence the evolution of male signals that are designed to attract females. The sex pheromone of male European beewolves Philanthus triangulum (Hymenoptera, Crabronidae) might have evolved according to the sensory exploitation hypothesis. A three-step scenario is supported by our studies. First, a major component of the honeybee alarm pheromone, (Z)-11-eicosen-1-ol, is also found on the cuticles and in the air surrounding foraging honeybees. Second, it could be shown, that (Z)-11- eicosen-1-ol plays a crucial role as kairomone for prey identification of honeybees by beewolf females. Third, a reanalysis of the beewolf male sex pheromone shows a remarkable similarity of compounds between the pheromone and the honeybee cuticle, besides the co-occurrence of (Z)-11-eisosen-ol. The majority of the cuticular hydrocarbons of honeybees occur also in the headspace of foraging workers. These results strongly support the hypothesis that beewolf males evolved a pheromone that exploits the females’ pre-existing sensory sensitivity. In addition, the male sex pheromone shows a significantly higher similarity among brothers than among non-related individuals, which might enable beewolf females to discriminate against brothers and avoid detrimental effects of breeding. Together with the studies on the possible sensory exploitation this result shows that both, male and female beewolves probably gain more benefits than costs from the pheromone communication and, thus, the communication system as a whole can be regarded as cooperative. To maintain the reproductive division of labour in eusocial colonies, queens have to signal their presence and fecundity. In the ant Camponotus floridanus (Hymenoptera, Formicidae) queens mark their own eggs with a distinctive pattern of cuticular hydrocarbons. Two different hypotheses have been developed. One suggests a form of worker manipulation by the queen. The alternative hypothesis assumes a cooperative signal that provides information on the condition of the queen. The results of our investigation clearly favour the latter hypothesis. Chemical mimicry is a form of non-cooperative communication that benefits predominantly the sender. We provided conclusive evidence that the cockoo wasp, Hedychrum rutilans (Hymenoptera, Chrysididae), the primary brood parasitoid of Philanthus triangulum, evades recognition by beewolf females most probably by chemical mimicry of the odour of its host. Furthermore, the adaptation of the chemical signature in the social ant parasite Protomognathus americanus (Hymenoptera, Formicidae) to its Leptothorax (Hymenoptera, Formicidae) hosts was investigated. Although this parasite is principally adapted to its hosts’ cuticular hydrocarbon profile, there are still pronounced differences between the profiles of parasites and hosts. This might be explained by the trade-off, which the parasites faces when confronted locally with two host species with different cuticular hydrocarbon profiles. Non-cooperative communication in the sense that only receivers benefit was discovered in the exploitation of honeybees volatile cuticular hydrocarbons by beewolf females. By using emitted (Z)-11-eicosen-1-ol as a kairomone, the receiver, the beewolf female, yields the benefits and the sender, the honeybee prey, bears all the costs. The results of these studies contribute to the understanding of the evolution of cooperative and non-cooperative communication with chemical signals taking into account differential benefits for sender and/or receiver.
The present work describes the synthesis of sila-venlafaxine, disila-bexarotene, disila-AG-045572 (disila-CMPD1), a series of silicon-based allosteric modulators of muscarinic receptors, and a partial synthesis of sila-gabapentin. Crystal structure data of rac-sila-venlafaxine hydrochloride, (R)-sila-venlafaxine hydrobromide, bexarotene, disila-bexarotene, and disila-AG-045572 (disila-CMPD1) are included. Studies on the biological activities of sila-venlafaxine and of silicon-based allosteric modulators of muscarinic receptors are discussed. The Si-2,4,6-trimethoxyphenyl (Si-2,4,6-TMOP) moiety is described as a novel, acid-labile protecting group in organosilicon chemistry. The synthesis of chlorotris(chloromethyl)silane and tris(chloromethyl)methoxysilane is described.