Evaluation of inductively coupled plasma mass spectrometry for determining Ca, Cu, Fe, Mg, Mn, Se and Zn in bovine semen samples using a simple sample dilution method

A simple and fast method for the determination of Ca, Cu, Fe, Mg, Mn, Se and Zn in bovine semen by quadrupole inductively coupled plasma spectrometry (q-ICP-MS) is described. Prior to analysis, samples (200 µL) were diluted 1:50 in a solution containing 0.01% v/v Triton® X-100 and 0.5% v/v nitric acid and directly analyzed by ICP-MS. The limits of detection of the method are 0.3, 0.03, 0.2, 0.04, 0.04, 0.03 and 0.03 µg L-1 for 44Ca, 63Cu, 57Fe, 24Mg, 64Zn, 82Se and 55Mn, respectively. For purposes of comparison and method validation, four ordinary bovine semen samples were directly analyzed by ICP-MS and by flame atomic absorption spectrometry (FAAS) or graphite furnace atomic absorption spectrometry (GF AAS), with no statistical difference between the techniques at the 95% level when applying the t-test. Then, the proposed method was applied in the determinations of Ca, Cu, Fe, Mg, Mn, Se and Zn in collected samples of bovine semen from different breeds, which are used in reproduction programs and artificial insemination.

Fe valence fluctuations and magnetoelastic coupling in Pb-based multiferroics perovskites

Lead-based multiferroics perovskites with nominal compositions Pb(Fe1/2Nb1/2)O3 and Pb(Fe2/3W1/3)O3 were synthesized following a two-stage method. Magnetic proprieties were investigated and correlated to anelastic proprieties, measured by the conventional pulse-echo method. The discussions are focused in the region around 250 K, where magnetoelectroelastic instabilities have been observed. X-ray absorption nearedge structure (XANES) study further indicates that the edge position varies with temperature revealing a fluctuation on the valence of iron ions with the temperature, which can be related to a variation in anelastic and magnetic proprieties.

Labile Fe(II) concentrations in the Atlantic sector of the Southern Ocean along a transect from the subtropical domain to the Weddell Sea Gyre

[EN]Labile Fe(II) distributions were investigated in the Sub-Tropical South Atlantic and the Southern Ocean during the BONUS-GoodHope cruise from 34 to 57_ S (February? March 2008). Concentrations ranged from below the detection limit (0.009 nM) to values as high 5 as 0.125 nM. In the surface mixed layer, labile Fe(II) concentrations were always higher than the detection limit, with values higher than 0.060nM south of 47_ S, representing between 39% and 63% of dissolved Fe (DFe). Biological production was evidenced. At intermediate depth, local maxima were observed, with the highest values in the Sub-Tropical domain at around 200 m, and represented more than 70% of DFe. Remineralization processes were likely responsible for those sub-surface maxima. Below 1500 m, concentrations were close to or below the detection limit, except at two stations (at the vicinity of the Agulhas ridge and in the north of the Weddell Sea Gyre) where values remained as high as _0.030?0.050 nM. Hydrothermal or sediment inputs may provide Fe(II) to these deep waters. Fe(II) half life times (t1/2) at 4 _C were measured in the upper and deep waters and ranged from 2.9 to 11.3min, and from 10.0 to 72.3 min, respectively. Measured values compared quite well in the upper waters with theoretical values from two published models, but not in the deep waters. This may be due to the lack of knowledge for some parameters in the models and/or to organic complexation of Fe(II) that impact its oxidation rates. This study helped to considerably increase the Fe(II) data set in the Ocean and to better understand the Fe redox cycle.

Effect of organic exudates of Phaeodactylum tricornutum on the Fe(II) oxidation rate constant

[EN] Fe(II) oxidation kinetics were studied in seawater and in seawater enriched with exudates excreted by Phaeodactylum tricornutum as an organic ligand model. The exudates produced after 2, 4, and 8 days of culture at 6.21 .. 107, 2.29 .. 108, and 4.98 .. 108 cell L?1 were selected. The effects of pH (7.2?8.2), temperature (5?35 ºC), and salinity (10?36.72) on the Fe(II) oxidation rate were studied. All the data were compared with the results for seawater without exudates (control). The Fe(II) rate constant decreased as a function of culture time and cell concentration in the culture at different pH, temperature, and salinity. All the experimental data obtained in this study were fitted to a polynomial function in order to quantify the fractional contribution of the organic exudates from the diatoms to the Fe(II) oxidation rate in natural seawater. Experimental results showed that the organic exudates excreted by P. tricornutum affect Fe(II) oxidation, increasing the lifetime of Fe(II) in seawater. A kinetic model approach was carried out to account for the speciation of each Fe(II) type together with its contribution to the overall rate.

Chemistry of Fe(II) in the presence of organic exudates from phytoplankton and of copper in seawater

Programa de doctorado de Oceanografía ; 2006-2008

Untersuchung magnetischer Nanostrukturen mittels Rastertunnelspektroskopie und Kerr-Magnetometrie am Beispiel von Fe, Co, Co-Fe und Fe-Mn Nanostrukturen

Nach einer kurzen Einführung in die Entwicklung der magnetischen Anwendungen, werden in Kapitel 2 und 3 die physikalischen Grundlagen der Messmethoden, insbesondere die Rastertunnelspektroskopie und Kerr-Magnetometrie, sowie der experimentelle Aufbau erläutert. Kapitel 4 beschäftigt sich mit den magnetischen Eigenschaften von quasi ein-dimensionalen ferromagnetischen Nanostreifen und Monolagen, die durch Selbstorganisation auf einem Wolfram(110)-Einkristall mit vizinaler und glatter Oberfläche präpariert werden. Hierbei wird die Temperaturabhängigkeit der magnetischen Größen, wie Remanenz, Sättigungsmagnetisierung und Suszeptibilität, sowie die Auswirkung einer Abdeckung des Systems auf die Domänenwandenergie und Anisotropie untersucht. Zusätzlich wird die Kopplung von parallelen Nanostreifen in Abhängigkeit des Streifenabstandes betrachtet. In Kapitel 5 werden das Wachstum und die Morphologie von Co-Monolagen auf W(110) untersucht. Der Übergang von pseudomorphem zu dicht gepacktem Wachstum in der Monolage wird mit Hilfe der Rastertunnelspektroskopie sichtbar gemacht, ebenso wie unterschiedliche Stapelfolgen in Tripellagen Co-Systemen. Atomar aufgelöste Rastertunnelmikroskopie erlaubt die genauen Atompositionen der Oberfläche zu bestimmen und mit theoretischen Wachstumsmodellen zu vergleichen. Auf die Untersuchung zwei-dimensionaler binärer Co-Fe und Fe-Mn Legierungen auf W(110) wird in Kapitel 6 eingegangen. Mit einer Präparationstemperatur von T=520 K ist es möglich, atomar geordnete Co-Fe Legierungsmonolagen wachsen zu lassen. Ein direkter Zusammenhang zwischen der Magnetisierung und der lokalen Zustandsdichte in Abhängigkeit der Legierungszusammensetzung wird gezeigt.

Tuning the structural and magnetic properties of Sr 2 FeReO 6 by substituting Fe and Re with valence invariant metals

In the course of this work the effect of metal substitution on the structural and magnetic properties of the double perovskites Sr2MM’O6 (M = Fe, substituted by Cr, Zn and Ga; M’ = Re, substituted by Sb) was explored by means of X-ray diffraction, magnetic measurements, band structure calculations, Mößbauer spectroscopy and conductivity measurements. The focus of this study was the determination of (i) the kind and structural boundary conditions of the magnetic interaction between the M and M’ cations and (ii) the conditions for the principal application of double perovskites as spintronic materials by means of the band model approach. Strong correlations between the electronic, structural and magnetic properties have been found during the study of the double perovskites Sr2Fe1-xMxReO6 (0 < x < 1, M = Zn, Cr). The interplay between van Hove-singularity and Fermi level plays a crucial role for the magnetic properties. Substitution of Fe by Cr in Sr2FeReO6 leads to a non-monotonic behaviour of the saturation magnetization (MS) and an enhancement for substitution levels up to 10 %. The Curie temperatures (TC) monotonically increase from 401 to 616 K. In contrast, Zn substitution leads to a continuous decrease of MS and TC. The diamagnetic dilution of the Fe-sublattice by Zn leads to a transition from an itinerant ferrimagnetic to a localized ferromagnetic material. Thus, Zn substitution inhibits the long-range ferromagnetic interaction within the Fe-sublattice and preserves the long-range ferromagnetic interaction within the Re-sublattice. Superimposed on the electronic effects is the structural influence which can be explained by size effects modelled by the tolerance factor t. In the case of Cr substitution, a tetragonal – cubic transformation for x > 0.4 is observed. For Zn substituted samples the tetragonal distortion linearly increases with increasing Zn content. In order to elucidate the nature of the magnetic interaction between the M and M’ cations, Fe and Re were substituted by the valence invariant main group metals Ga and Sb, respectively. X-ray diffraction reveals Sr2FeRe1-xSbxO6 (0 < x < 0.9) to crystallize without antisite disorder in the tetragonal distorted perovskite structure (space group I4/mmm). The ferrimagnetic behaviour of the parent compound Sr2FeReO6 changes to antiferromagnetic upon Sb substitution as determined by magnetic susceptibility measurements. Samples up to a doping level of 0.3 are ferrimagnetic, while Sb contents higher than 0.6 result in an overall antiferromagnetic behaviour. 57Fe Mößbauer results show a coexistence of ferri- and antiferromagnetic clusters within the same perovskite-type crystal structure in the Sb substitution range 0.3 < x < 0.8, whereas Sr2FeReO6 and Sr2FeRe0.9Sb0.1O6 are “purely” ferrimagnetic and Sr2FeRe0.1Sb0.9O6 contains antiferromagnetically ordered Fe sites only. Consequently, a replacement of the Re atoms by a nonmagnetic main group element such as Sb blocks the double exchange pathways Fe–O–Re(Sb)–O–Fe along the crystallographic axis of the perovskite unit cell and destroys the itinerant magnetism of the parent compound. The structural and magnetic characterization of Sr2Fe1-xGaxReO6 (0 < x < 0.7) exhibit a Ga/Re antisite disorder which is unexpected because the parent compound Sr2FeReO6 shows no Fe/Re antisite disorder. This antisite disorder strongly depends on the Ga content of the sample. Although the X-ray data do not hint at a phase separation, sample inhomogeneities caused by a demixing are observed by a combination of magnetic characterization and Mößbauer spectroscopy. The 57Fe Mößbauer data suggest the formation of two types of clusters, ferrimagnetic Fe- and paramagnetic Ga-based ones. Below 20 % Ga content, Ga statistically dilutes the Fe–O–Re–O–Fe double exchange pathways. Cluster formation begins at x = 0.2, for 0.2 < x < 0.4 the paramagnetic Ga-based clusters do not contain any Fe. Fe containing Ga-based clusters which can be detected by Mößbauer spectroscopy firstly appear for x = 0.4.

Weathering of Fe-bearing minerals under extraterrestrial conditions, investigated by Mössbauer spectroscopy

The weathering of Fe-bearing minerals under extraterrestrial conditions was investigated by Mössbauer (MB) spectroscopy to gain insights into the role of water on the planet Mars. The NASA Mars Exploration Rovers Spirit and Opportunity each carry a miniaturized Mössbauer spectrometer MIMOS II for the in situ investigation of Martian soils and rocks as part of their payload. The MER flight instruments had to be modified in order to work over the Martian diurnal temperature range (180 K – 290 K) and within the unique electronic environment of the rovers. The modification required special calibration procedures. The integration time necessary to obtain a good quality Mössbauer spectrum with the MIMOS II flight instruments was reduced by 30 % through the design of a new collimator. The in situ investigation of rocks along the rover Spirit's traverse in Gusev crater revealed weakly altered olivine basalt on the plains and pervasively altered basalt in the Columbia Hills. Correlation plots of primary Fe-bearing minerals identified by MB spectroscopy such as olivine versus secondary Fe-bearing phases such as nanophase Fe oxides showed that olivine is the mineral which is primarily involved in weathering reactions. This argues for a reduced availability of water. Identification of the Fe-oxyhydroxide goethite in the Columbia Hills is unequivocal evidence for aqueous weathering processes in the Columbia Hills. Experiments in which mineral powders were exposed to components of the Martian atmosphere showed that interaction with the atmosphere alone, in the absence of liquid water, is sufficient to oxidize Martian surface materials. The fine-grained dust suspended in the Martian atmosphere may have been altered solely by gas-solid reactions. Fresh and altered specimens of Martian meteorites were investigated with MIMOS II. The study of Martian meteorites in the lab helped to identify in Bounce Rock the first rock on Mars which is similar in composition to basaltic shergottites, a subgroup of the Martian meteorites. The field of astrobiology includes the study of the origin, evolution and distribution of life in the universe. Water is a prerequisite for life. The MER Mössbauer spectrometers identified aqueous minerals such as jarosite and goethite. The identification of jarosite was crucial to evaluate the habitability of Opportunity's landing site at Meridiani Planum during the formation of the sedimentary outcrop rocks, because jarosite puts strong constrains on pH levels. The identification of olivine in rocks and soils on the Gusev crater plains provide evidence for the sparsity of water under current conditions on Mars. Ratios of Fe2+/Fe3+ were obtained with Mössbauer spectroscopy from basaltic glass samples which were exposed at a deep sea hydrothermal vent. The ratios were used as a measure of potential energy for use by a microbial community. Samples from Mars analogue field sites on Earth exhibiting morphological biosignatures were also investigated.

Experimental analysis and FE Modeling of Aluminium alloys Microstructural Evolution in Extrusion

Extrusion is a process used to form long products of constant cross section, from simple billets, with a high variety of shapes. Aluminum alloys are the materials most processed in the extrusion industry due to their deformability and the wide field of applications that range from buildings to aerospace and from design to automotive industries. The diverse applications imply different requirements that can be fulfilled by the wide range of alloys and treatments, that is from critical structural application to high quality surface and aesthetical aspect. Whether one or the other is the critical aspect, they both depend directly from microstructure. The extrusion process is moreover marked by high deformations and complex strain gradients making difficult the control of microstructure evolution that is at present not yet fully achieved. Nevertheless the evolution of Finite Element modeling has reached a maturity and can therefore start to be used as a tool for investigation and prediction of microstructure evolution. This thesis will analyze and model the evolution of microstructure throughout the entire extrusion process for 6XXX series aluminum alloys. Core phase of the work was the development of specific tests to investigate the microstructure evolution and validate the model implemented in a commercial FE code. Along with it two essential activities were carried out for a correct calibration of the model beyond the simple research of contour parameters, thus leading to the understanding and control of both code and process. In this direction activities were also conducted on building critical knowhow on the interpretation of microstructure and extrusion phenomena. It is believed, in fact, that the sole analysis of the microstructure evolution regardless of its relevance in the technological aspects of the process would be of little use for the industry as well as ineffective for the interpretation of the results.

Magnetic tunneling junctions with the Heusler compound Co 2 Cr 0.6 Fe 0.4 Al

Materialen mit sehr hoher Spinpolarisation werden für Anwendungen im Bereich der Spin-Elektronik benötigt. Deshalb werden große Forschungsanstrengungen zur Untersuchung der Eigenschaften von Verbindungen mit potentiell halbmetallischem Charakter, d. h.mit 100% Spinpolarisation, unternommen. In halbmetallischen Verbindungen, erwartet man eine Lücke in der Zustandsdichte an der Fermi Energie für Ladungsträger einer Spinrichtung, wahrend die Ladungsträger mit der anderen Spinrichtung sich metallisch verhalten. Eine Konsequenz davon ist, dass ein Strom, der durch solche Verbindung fließt, voll spinpolarisiert ist. Die hohe Curie-Temperatur Tc (800 K) und der theoretisch vorhergesagte halbmetallische Charakter machen Co2Cr0.6Fe0.4Al (CCFA) zu einem guten Kandidaten für Spintronik-Anwendungen wie magnetische Tunnelkontakte (MTJs = Magnetic Tunneling Junctions). In dieser Arbeit werden die Ergebnisse der Untersuchung der elektronischen und strukturellen Eigenschaften von dünnen CCFA Schichten dargestellt. Diese Schichten wurden in MTJs integriert und der Tunnel-Magnetowiderstands-Effekt untersucht. Hauptziele waren die Messung der Spinpolarisation und Untersuchungen der elektronischen Struktur von CCFA. Der Einfluss verschiedener Depositionsparameter auf die Eigenschaften der Schichten, speziell auf der Oberflächenordnung und damit letztlich auf den Tunnel-Magnetowiderstand (TMR), wurde bestimmt. Epitaktische d¨unne CCFA Schichten mit zwei verschiedenen Wachstumsrichtungen wurden auf verschiedene Substrate und Pufferschichten deponiert. Ein Temperverfahren wurde eingesetzt um die strukturelle Eigenschaften der dünnen Schichten zu verbessern. Für die MTJs wurde Al2O3 als Barrierenmaterial verwendet und Co als Gegenelektrode gewählt. Die Mehrschicht-Systeme wurden in Mesa-Geometrie mit lithographischen Methoden strukturiert. Eine maximal Jullière Spinpolarisation von 54% wurde an Tunnelkontakte mit epitaktischen CCFA Schichten gemessen. Ein starker Einfluss der Tempernbedingungen auf dem TMR wurde festgestellt. Eine Erhörung des TMR wurde mit einer Verbesserung der Oberflächenordung der CCFA Schichten korreliert. Spektroskopische Messungen wurden an den MTJs durchgeführt. Diesen Messungen liefern Hinweise auf inelastische Elektron-Magnon und Elektron-Phonon Stossprozesse an den Grenzflächen. Einige der beobachteten Strukturen konnten mit der berechneten elektronischen Struktur von CCFA korreliert worden.

"Sleeping Princess" (1921) e "Baiser de la Fée" (1928): lesina e punteruolo di Stravinskij sulle musiche di Čajkovskij.

Igor Stravinskij (1882-1971) utilizzò di sovente fonti preesistenti come parte integrante del proprio artigianato compositivo. In questa tesi dottorale ho studiato il processo creativo di Stravinskij negli anni Venti sulle musiche di Pëtr Il'ič Čajkovskij (1840-1893). Nella prima parte della dissertazione ho indagato la Sleeping Princess (1921) e il successivo Mariage d’Aurore (1922-1929), entrambi allestiti dai Ballets russes di Sergej Djagilev (1872-1929). Dopo aver localizzato e contestualizzato le fonti manoscritte e i materiali d’uso, ho ricostruito le ri-orchestrazioni effettuate da Stravinskij della Danse russe (Coda del Pas de deux n. 28) e del Presto del Finale (n. 30), che erano a tutt’oggi inedite. La ricerca sulla Sleeping Princess si è rivelata fondamentale per la conseguente analisi del Baiser de la Fée (1928, Ballets de Mme Ida Rubinstein), balletto basato su pezzi pianistici e romanze per voce e pianoforte di Čajkovskij. Grazie allo studio dello Skizzenbuch VIII, della partitura pianistica manoscritta e di tutte le fonti rinvenute, ho gettato ulteriore luce sul processo compositivo di Stravinskij sulle fonti čajkovskiane. Ho rinvenuto nuove appropriazioni che finora non erano note.

Investigation on laser shock peening capability by FE simulation

Laser shock peening is a technique similar to shot peening that imparts compressive residual stresses in materials for improving fatigue resistance. The ability to use a high energy laser pulse to generate shock waves, inducing a compressive residual stress field in metallic materials, has applications in multiple fields such as turbo-machinery, airframe structures, and medical appliances. The transient nature of the LSP phenomenon and the high rate of the laser's dynamic make real time in-situ measurement of laser/material interaction very challenging. For this reason and for the high cost of the experimental tests, reliable analytical methods for predicting detailed effects of LSP are needed to understand the potential of the process. Aim of this work has been the prediction of residual stress field after Laser Peening process by means of Finite Element Modeling. The work has been carried out in the Stress Methods department of Airbus Operations GmbH (Hamburg) and it includes investigation on compressive residual stresses induced by Laser Shock Peening, study on mesh sensitivity, optimization and tuning of the model by using physical and numerical parameters, validation of the model by comparing it with experimental results. The model has been realized with Abaqus/Explicit commercial software starting from considerations done on previous works. FE analyses are “Mesh Sensitive”: by increasing the number of elements and by decreasing their size, the software is able to probe even the details of the real phenomenon. However, these details, could be only an amplification of real phenomenon. For this reason it was necessary to optimize the mesh elements' size and number. A new model has been created with a more fine mesh in the trough thickness direction because it is the most involved in the process deformations. This increment of the global number of elements has been paid with an "in plane" size reduction of the elements far from the peened area in order to avoid too high computational costs. Efficiency and stability of the analyses has been improved by using bulk viscosity coefficients, a merely numerical parameter available in Abaqus/Explicit. A plastic rate sensitivity study has been also carried out and a new set of Johnson Cook's model coefficient has been chosen. These investigations led to a more controllable and reliable model, valid even for more complex geometries. Moreover the study about the material properties highlighted a gap of the model about the simulation of the surface conditions. Modeling of the ablative layer employed during the real process has been used to fill this gap. In the real process ablative layer is a super thin sheet of pure aluminum stuck on the masterpiece. In the simulation it has been simply reproduced as a 100µm layer made by a material with a yield point of 10MPa. All those new settings has been applied to a set of analyses made with different geometry models to verify the robustness of the model. The calibration of the model with the experimental results was based on stress and displacement measurements carried out on the surface and in depth as well. The good correlation between the simulation and experimental tests results proved this model to be reliable.

Spinpolarisierte Rastertunnelmikroskopie magnetischer Nanostrukturen am Beispiel von bcc-Co/Fe(110), Fe/Mo(110) und Kupfer-Phthalocyanin/Fe(110)

In dieser Arbeit werden, nach einer Einführung in die spinpolarisierte Rastertunnelmikroskopie und -spektroskopie als experimentelle Methode zur Untersuchung magnetischer Nanostrukturen, Ergebnisse zur spinpolarisierten elektronischen Struktur in Abhängigkeit von der Kristallstruktur am Beispiel ultradünner Co-Schichten sowie in Abhängigkeit von der Magnetisierungsrichtung für ultradünne Fe-Schichten vorgestellt. Hochaufgelöste Messungen zeigen die ortsabhängige Spinpolarisation auf einem einzelnen Kupfer-Phthalocyanin Molekül. rnrnKobalt wurde durch pseudomorphes Wachstum auf den (110)-Oberflächen der kubisch raumzentrierten Metalle Chrom und Eisen deponiert. Im Unterschied zu früheren Berichten in der Literatur lassen sich nur zwei Lagen Co in der kubisch raumzentrierten (bcc) Ordnung stabilisieren. Die bcc-Co Schichten auf der Fe(110)-Oberfläche zeigen keine Anzeichen von epitaktischen Verzerrungen. rnDickere Schichten rekonstruieren in eine dicht gepackte Struktur (hcp/fcc). Durch die bcc Ordnung wird die Spinpolarisation von Kobalt auf P=62% erhöht (hcp-Co: P=45%). rnrnDie temperaturabhängige Spinreorientierung (SRT) ultradünner Filme Fe/Mo(110) wurde mit spinpolarisierter Spektroskopie untersucht. Eine Neuausrichtung der Magnetisierung aus der senkrechten [110]-Achse in die in der Ebene liegenden [001]-Achse wird bei T=(13,2+-0,5)K festgestellt, wobei es sich um einen diskontinuierlichen Reorientierungsübergang handelt, d.h. die freie Energie weist innerhalb eines bestimmten Temperaturbereichs gleichzeitig zwei Minima auf. Weiterhin wird in der Mono- und Doppellage Fe/Mo(110 eine Abhängigkeit der elektronischen Struktur von der Ausrichtung der magnetisch leichten Achse und von der Magnetisierung beobachtet. rnrnDie Untersuchung des spinpolarisierten Ladungstransports durch ein Kupfer-Phthalocyanin-Molekül auf der Fe/Mo(110) Oberfläche liefert einen wesentlichen Beitrag zum Verständnis des Spintransports an der Grenzfläche zwischen Metall und organischem Molekül. Die HOMO-LUMO-Energielücke des freien Moleküls wird durch die Wechselwirkung mit der Metalloberfläche mit Grenzflächenzuständen gefüllt. Diese Zustände reduzieren die Spinpolarisation des durch das Molekül fließenden Tunnelstroms durch einen zusätzlichen unpolarisierten Strombeitrag um einen Faktor zwei. Spinpolarisierte hybridisierte Grenzflächenzustände mit größerem Abstand zur Fermi-Energie führen in Abhängigkeit von der Position auf dem Molekül zu weiteren Beiträgen zur effektiven Spinpolarisation. Diese Untersuchungen belegen die Möglichkeit einer effektiven Spininjektion in organische Halbleiter und damit das Potential dieser Materialien für die weitere Entwicklung von Spintronik-Bauteilen.