3 resultados para Inquiry based teaching of mathematics

em ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha


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This thesis presents a process-based modelling approach to quantify carbon uptake by lichens and bryophytes at the global scale. Based on the modelled carbon uptake, potential global rates of nitrogen fixation, phosphorus uptake and chemical weathering by the organisms are estimated. In this way, the significance of lichens and bryophytes for global biogeochemical cycles can be assessed. The model uses gridded climate data and key properties of the habitat (e.g. disturbance intervals) to predict processes which control net carbon uptake, namely photosynthesis, respiration, water uptake and evaporation. It relies on equations used in many dynamical vegetation models, which are combined with concepts specific to lichens and bryophytes, such as poikilohydry or the effect of water content on CO2 diffusivity. To incorporate the great functional variation of lichens and bryophytes at the global scale, the model parameters are characterised by broad ranges of possible values instead of a single, globally uniform value. The predicted terrestrial net uptake of 0.34 to 3.3 Gt / yr of carbon and global patterns of productivity are in accordance with empirically-derived estimates. Based on the simulated estimates of net carbon uptake, further impacts of lichens and bryophytes on biogeochemical cycles are quantified at the global scale. Thereby the focus is on three processes, namely nitrogen fixation, phosphorus uptake and chemical weathering. The presented estimates have the form of potential rates, which means that the amount of nitrogen and phosphorus is quantified which is needed by the organisms to build up biomass, also accounting for resorption and leaching of nutrients. Subsequently, the potential phosphorus uptake on bare ground is used to estimate chemical weathering by the organisms, assuming that they release weathering agents to obtain phosphorus. The predicted requirement for nitrogen ranges from 3.5 to 34 Tg / yr and for phosphorus it ranges from 0.46 to 4.6 Tg / yr. Estimates of chemical weathering are between 0.058 and 1.1 km³ / yr of rock. These values seem to have a realistic order of magnitude and they support the notion that lichens and bryophytes have the potential to play an important role for global biogeochemical cycles.

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During the last decades magnetic circular dichroism (MCD) has attracted much interest and evolved into various experimental methods for the investigation of magnetic thin films. For example, synchrotron-based X-ray magnetic circular dichroism (XMCD) displays the absolute values of spin and orbital magnetic moments. It thereby benefits from large asymmetry values of more than 30% due to the excitation of atomic core-levels. Similarly large values are also expected for threshold photoemission magnetic circular dichroism (TPMCD). Using lasers with photon energies in the range of the sample work function this method gives access to the occupied electronic structure close to the Fermi level. However, except for the case of Ni(001) there exist only few studies on TPMCD moreover revealing much smaller asymmetries than XMCD-measurements. Also the basic physical mechanisms of TPMCD are not satisfactorily understood. In this work we therefore investigate TPMCD in one- and two-photon photoemission (1PPE and 2PPE) for ferromagnetic Heusler alloys and ultrathin Co films using ultrashort pulsed laser light. The observed dichroism is explained by a non-conventional photoemission model using spin-resolved band-structure calculations and linear response theory. For the two Heusler alloys Ni2MnGa and Co2FeSi we give first evidence of TPMCD in the regime of two-photon photoemission. Systematic investigations concerning general properties of TPMCD in 1PPE and 2PPE are carried out at ultrathin Co films grown on Pt(111). Here, photon-energy dependent measurements reveal asymmetries of 1.9% in 1PPE and 11.7% in 2PPE. TPMCD measurements at decreased work function even yield larger asymmetries of 6.2% (1PPE) and 17% (2PPE), respectively. This demonstrates that enlarged asymmetries are also attainable for the TPMCD effect on Co(111). Furthermore, we find that the TPMCD asymmetry is bulk-sensitive for 1PPE and 2PPE. This means that the basic mechanism leading to the observed dichroism must be connected to Co bulk properties; surface effects do not play a crucial role. Finally, the enhanced TPMCD asymmetries in 2PPE compared to the 1PPE case are traced back to the dominant influence of the first excitation step and the existence of a real intermediate state. The observed TPMCD asymmetries cannot be interpreted by conventional photoemission theory which only considers direct interband transitions in the direction of observation (Γ-L). For Co(111), these transitions lead to evanescent final states. The excitation to such states, however, is incompatible with the measured bulk-sensitivity of the asymmetry. Therefore, we generalize this model by proposing the TPMCD signal to arise mostly from direct interband transitions in crystallographic directions other than (Γ-L). The necessary additional momentum transfer to the excited electrons is most probably provided by electron-phonon or -magnon scattering processes. Corresponding calculations on the basis of this model are in reasonable agreement with the experimental results so that this approach represents a promising tool for a quantitative description of the TPMCD effect. The present findings encourage an implementation of our experimental technique to time- and spatially-resolved photoemission electron microscopy, thereby enabling a real time imaging of magnetization dynamics of single excited states in a ferromagnetic material on a femtosecond timescale.

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This thesis reports on the experimental realization of nanofiber-based spectroscopy of organic molecules. The light guided by subwavelength diameter optical nanfibers exhibits a pronounced evanescent field surrounding the fiber which yields high excitation and emission collection efficiencies for molecules on or near the fiber surface.rnThe optical nanofibers used for the experiments presented in this thesis are realized as thernsub-wavelength diameter waist of a tapered optical fiber (TOF). The efficient transfer of thernlight from the nanofiber waist to the unprocessed part of the TOF depends critically on therngeometric shape of the TOF transitions which represent a nonuniformity of the TOF. Thisrnnonuniformity can cause losses due to coupling of the fundamental guided mode to otherrnmodes which are not guided by the taper over its whole length. In order to quantify the lossrnfrom the fundamental mode due to tapering, I have solved the coupled local mode equationsrnin the approximation of weak guidance for the three layer system consisting of fiber core andrncladding as well as the surrounding vacuum or air, assuming the taper shape of the TOFsrnused for the experiments presented in this thesis. Moreover, I have empirically studied therninfluence of the TOF geometry on its transmission spectra and, based on the results, I haverndesigned a nanofiber-waist TOF with broadband transmission for experiments with organicrnmolecules.rnAs an experimental demonstration of the high sensitivity of nanofiber-based surface spectroscopy, I have performed various absorption and fluorescence spectroscopy measurements on the model system 3,4,9,10-perylene-tetracarboxylic dianhydride (PTCDA). The measured homogeneous and inhomogeneous broadening of the spectra due to the interaction of the dielectric surface of the nanofiber with the surface-adsorbed molecules agrees well with the values theoretically expected and typical for molecules on surfaces. Furthermore, the self-absorption effects due to reasorption of the emitted fluorescence light by circumjacent surface-adsorbed molecules distributed along the fiber waist have been analyzed and quantified. With time-resolved measurements, the reorganization of PTCDA molecules to crystalline films and excimers can be observed and shown to be strongly catalyzed by the presence of water on the nanofiber surface. Moreover, the formation of charge-transfer complexes due to the interaction with localized surface defects has been studied. The collection efficiency of the molecular emission by the guided fiber mode has been determined by interlaced measurements of absorption and fluorescence spectra to be about 10% in one direction of the fiber.rnThe high emission collection efficiency makes optical nanofibers a well-suited tool for experiments with dye molecules embedded in small organic crystals. As a first experimental realization of this approach, terrylene-doped para-terphenyl crystals attached to the nanofiber-waist of a TOF have been studied at cryogenic temperatures via fluorescence and fluorescence excitation spectroscopy. The statistical fine structure of the fluorescence excitation spectrum for a specific sample has been observed and used to give an estimate of down to 9 molecules with center frequencies within one homogeneous width of the laser wavelength on average for large detunings from resonance. The homogeneous linewidth of the transition could be estimated to be about 190MHz at 4.5K.