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Titanium Dioxide Nanoparticles: Synthesis, X-Ray Line Analysis and Chemical Composition Study
(2016)
TiO2 nanoparticleshave been synthesized by the sol-gel method using titanium alkoxide and isopropanolas a precursor. The structural properties and chemical composition of the TiO2 nanoparticles were studied usingX-ray diffraction, scanning electron microscopy, and X-ray photoelectron spectroscopy.The X-ray powder diffraction pattern confirms that the particles are mainly composed of the anatase phase with the preferential orientation along [101] direction. The physical parameters such as strain, stress and energy density were investigated from the Williamson- Hall (W-H) plot assuming a uniform deformation model (UDM), and uniform deformation energy density model (UDEDM). The W-H analysis shows an anisotropic nature of the strain in nanopowders. The scanning electron microscopy image shows clear TiO2 nanoparticles with particle sizes varying from 60 to 80nm. The results of mean particle size of TiO2 nanoparticles show an inter correlation with the W-H analysis and SEM results. Our X-ray photoelectron spectroscopy spectra show that nearly a complete amount of titanium has reacted to TiO2
The analysis presented in this paper applies to experimental situations where observers or objects to be studied, all at stationary positions, are located in environments the optical thickness of which is strongly different. Non-transparent media comprise thin metallic films, packed or fluidised beds, superconductors, the Earth’s crust, and even dark clouds and other cosmological objects. The analysis applies mapping functions that correlate physical events, e, in non-transparent media, with their images, f(e), tentatively located on standard physical time scale. The analysis demonstrates, however, that physical time, in its rigorous sense, does not exist under non-transparency conditions. A proof of this conclusion is attempted in three steps: i) the theorem “there is no time without space and events” is accepted, (ii) images f[e(s,t)] do not constitute a dense, uncountably infinite set, and (iii) sets of images that are not uncountably infinite do not create physical time but only time-like sequences. As a consequence, mapping f[e(s,t)] in non-transparent space does not create physical analogues to the mathematical structure of the ordered, dense half-set R+ of real numbers, and reverse mapping, f-1f[e(s,t)], the mathematical inverse problem, would not allow unique identification and reconstruction of original events from their images. In these cases, causality as well as invariance of physical processes under time reversal, might be violated. An interesting problem is whether temporal cloaking (a time hole) in a transparent medium, as very recently reported in the literature, can be explained by the present analysis. Existence of time holes could perhaps be possible, not in transparent but in non-transparent media, as follows from the sequence of images, f[e(s,t)], that is not uncountably infinite, in contrast to R+. Impacts are expected for understanding physical diffusion-like, radiative transfer processes and stability models to protect superconductors against quenchs. There might be impacts also in relativity, quantum mechanics, nuclear decay, or in systems close to their phase transitions. The analysis is not restricted to objects of laboratory dimensions.
Time and Spatially Resolved Photoluminescence Spectroscopy of Hot Excitons in Gallium Arsenide
(2015)
The present thesis investigates the impact of hot exciton effects on the low-temperature time and spatially resolved photoluminescence (PL) response of free excitons in high-purity gallium arsenide (GaAs). The work at hand extends available studies of hot carrier effects, which in bulk GaAs have up to now focused on hot electron populations. In crucial distinction from previous work, we extensively study the free exciton second LO-phonon replica. The benefit of this approach is twofold. First, the two LO phonon-assisted radiative recombination allows to circumvent the inherent interpretation ambiguities of the previously investigated free exciton zero-phonon line. Second, the recombination line shape of the second LO-phonon replica provides direct experimental access to the exciton temperature, thereby enabling the quantitative assessment of hot exciton effects.
In the first part of the thesis, we address the influence of transient cooling on the time evolution of an initially hot photocarrier ensemble. To this end, we investigate time-resolved photoluminescence (TRPL) signals detected on the free exciton second LO-phonon replica. Settling a long-standing question, we show by comparison with TRPL transients of the free exciton zero-phonon line that the slow free exciton photoluminescence rise following pulsed optical excitation is dominated by the slow buildup of a free exciton population and not by the relaxation of large K-vector excitons to the Brillouin zone center. To establish a quantitative picture of the delayed photoluminescence onset, we determine the cooling dynamics of the initially hot photocarrier cloud from a time-resolved line shape analysis of the second LO-phonon replica. We demonstrate that the Saha equation, which fundamentally describes the thermodynamic population balance between free excitons and the uncorrelated electron-hole plasma, directly translates the experimentally derived cooling curves into the time-dependent conversion of unbound electron-hole pairs into free excitons.
In the second part of the thesis, we establish the impact of hot exciton effects on low-temperature spatially resolved photoluminescence (SRPL) studies. Such experiments are widely used to investigate charge carrier and free exciton diffusion in semiconductors and semiconductor nanostructures. By SRPL spectroscopy of the second LO-phonon replica, we show that above-band gap focused laser excitation inevitably causes local heating in the carrier system, which crucially affects the diffusive expansion of a locally excited exciton packet. Undistorted free exciton diffusion profiles, which are correctly described by the commonly used formulation of the photocarrier diffusion equation, are only observed in the absence of spatial temperature gradients. At low sample temperatures, the reliable determination of free exciton diffusion coefficients from both continuous-wave and time-resolved SRPL spectroscopy requires strictly resonant optical excitation.
Using resonant laser excitation, we observe the dimensional crossover of free exciton diffusion in etched wire structures of a thin, effectively two-dimensional GaAs epilayer. When the lateral wire width falls below the diffusion length, the sample geometry becomes effectively one-dimensional. The exciton diffusion profile along the wire stripe is then consistently reproduced by the steady-state solution to the one-dimensional diffusion equation.
Finally, we demonstrate the formation of macroscopic free and bound exciton photoluminescence rings in bulk GaAs around a focused laser excitation spot. Both ring formation effects are due to pump-induced local heating in the exciton system. For a quantitative assessment of the mechanism underlying the free exciton ring formation, we directly determine the exciton temperature gradient from a spatially resolved line shape analysis of the free exciton second LO-phonon replica. We demonstrate that a pump-induced hot spot locally modifies the thermodynamic population balance between free excitons and unbound electron-hole pairs described by the Saha equation, which naturally explains the emergence of macroscopic free exciton ring structures.
In summary, we demonstrate that quantitative consideration of hot exciton effects provides a coherent picture both of the time-domain free exciton luminescence kinetics and of the distinct spatially resolved photoluminescence patterns developing under the influence of spatial photocarrier diffusion.
This thesis describes the growth and characterization of both the all-oxide heterostructure
Fe3O4/ZnO and the spin-orbit coupling driven layered perovskite iridates.
As for Fe3O4/ZnO, the 100% spin-polarized Fe3O4 is a promising spin electrode candidate
for spintronic devices. However, the single crystalline ZnO substrates exhibit different polar surface termination which, together with substrate preparation method, can drastically affect the physical properties of Fe3O4/ZnO heterostructures. In this thesis two different methods of substrate preparation were investigated: a previously used in situ method involving sputtering and annealing treatments and a recent ex situ method containing only the annealing procedure. For the latter, the annealing treatment was performed in dry and humid O2 gas flow for the O- and Zn-terminated substrates, respectively, to produce atomically at surfaces as verified by atomic force microscopy(AFM). With these methods, four different ZnO substrates were fabricated and used further for Fe3O4 film growth. Fe3O4 films of 20 nm thickness were successfully grown by reactive molecular beam epitaxy. AFM measurements reveal a higher film surface roughness for the samples with in situ prepared substrates. Moreover, X-ray photoelectron spectroscopy (XPS) measurements indicate significant Zn substitution within the Fe3O4 film for these samples, whereas the samples with ex situ prepared substrates show stoichiometric Fe3O4 films. X-ray diffraction measurements confirm the observations from XPS, revealing additional peaks due to Zn substitution in Fe3O4 films grown on in situ prepared ZnO substrates. Conductivity, as well as magnetometry, measurements show the presence of Zn-doped ferrites in films grown on in situ prepared substrates. Such unintentionally intercalated Zn-doped ferrites dramatically change the electrical and magnetic properties of the films and, therefore, are not preferred in a high-quality heterostructure.
X-ray reflectivity (XRR) measurements show for the film grown on ex situ prepared Zn-terminated substrate a variation of film density close to the interface which is also confirmed by transmission electron microscopy (TEM). Using polarized neutron reflectometry, magnetic depth profiles of the films grown on ex situ prepared substrates clearly indicate Fe3O4 layers with reduced magnetization at the interfaces. This result is consistent with earlier observations made by resonant magnetic X-ray reflectometry (RMXR), but in contrast to the findings from XRR and TEM of this thesis. A detailed TEM study of all four samples shows that the sample with ex situ prepared O-terminated substrate has the sharpest interface, whereas those with ex situ prepared Zn-terminated as well as in situ prepared substrates indicate rougher interfaces. STEM-EELS composition profiles of the samples reveal the Zn substitution in the films with in situ prepared substrates and therefore confirm the presence of Zn-doped ferrites. Moreover, a change of the Fe oxidation state of the first Fe layer at the interface which was observed in previous studies done by RMXR, was not verified for the samples with in situ prepared substrates thus leaving the question of a possible presence of the magnetically dead layer open. Furthermore, density functional theory calculations were performed to determine the termination dependent layer sequences which are ...-Zn-O-(interface)-[Fe(octa)-O-Fe(tetra)-Fe(octa)-Fe(tetra)-O]-[...]-... and ...-O-Zn-(interface)-[O-Fe(octa)-O-Fe(tetra)-Fe(octa)-Fe(tetra)]-[...]-... for the samples with O- and Zn-terminated substrates, respectively. Spin density calculations show that in case of O-termination the topmost substrate layers imitate the spin polarization of film layers close to the interface. Here, the first O layer is affected much stronger than the first Zn layer. Due to the strong decrease of this effect toward deeper substrate layers, the substrate surface is supposed to be sensitive to the contiguous spin polarization of the film. Thus, the topmost O layer of the O-terminated substrate could play the most essential role for effective spin injection into ZnO.
The 5d transition metal oxides Ba2IrO4 (BIO) and Sr2IrO4 (SIO) are associated with the Ruddlesden-Popper iridate series with phase type "214" (RP{214), and due to the strong spin-orbit coupling belong to the class of Mott insulators. Moreover, they show many similarities of the isostructural high Tc-cuprate superconductors, e.g. crystal structure, magnetism and electronic band structure. Therefore, it is of great interest to activate a potential superconducting phase in (RP{214) iridates. However, only a small number of publications on PLD grown (RP{214) iridates in the literature exists. Furthermore, published data of soft X-ray angle resolved photoemission spectroscopy (SX-ARPES) experiments mainly originate from measurements which were performed on single crystals or MBE grown films of SIO and BIO. In this thesis La-doped SIO films (La0:2Sr1:8IrO4, further referred as LSIO) were used to pursue a potential superconducting phase.
A set of characterization methods was used to analyze the quality of the PLD grown BIO, SIO and LSIO films. AFM measurements demonstrate that thick PLD grown(RP{214) iridate films have rougher surfaces, indicating a transition from a 2D layer-bylayer growth (which is demonstrated by RHEED oscillations) to a 3D island-like growth mode. In addition, chemical depth profiling XPS measurements indicate an increase of the O and Ir relative concentrations in the topmost film layers. Constant energy k-space maps and energy distribution curves (EDCs) measured by SX-ARPES show for every grown film only weak energy band dispersions, which are in strong contrast to the results obtained on the MBE grown films and single crystals from the literature. In this thesis,
a subsequent TEM study reveals missing SrO layers within the grown films which occur mainly in the topmost layers, confirming the results and suggestions from XPS and SX-ARPES data: the PLD grown films have defects and, therefore, incoherently scatter photoelectrons. Nevertheless, the LSIO film shows small additional spectral weight between the highsymmetry M points close to the Fermi level which can be attributed to quasiparticle states which, in turn, indicates the formation of a Fermi-arc. However, neither conductivity measurements nor valence band analysis via XPS confirm an activation of a superconducting phase or presence of spectral weight of quasiparticle states at the Fermi level in this LSIO film.
It is possible that these discovered difficulties in growth are responsible for the low number of SX-ARPES publications on PLD grown (RP{214) iridate films. For further investigations of (RP{214) iridate films by SX-ARPES, their PLD growth recipes have to be improved to create high quality single crystalline films without imperfections.
This thesis presents an experimental study of the thermoelectrical properties of semiconductor quantum dots (QD). The measurements give information about the interplay between first order tunneling and macroscopic quantum tunneling transport effects in the presence of thermal gradients by the direct comparison of the thermoelectric response and the energy spectrum of the QD. The aim of the thesis is to contribute to the understanding of the charge and spin transport in few-electron quantum dots with respect to potential applications in future quantum computing devices. It also gives new insight into the field of low temperature thermoelectricity. The investigated QDs were defined electrostatically in a two dimensional electron gas (2DEG) formed with a GaAs/(Al,Ga)As heterostructure by means of metallic gate electrodes on top of the heterostructure. Negative voltages with respect to the potential of the 2DEG applied to the gate electrodes were used to deplete the electron gas below them and to form an isolated island of electron gas in the 2DEG which contains a few ten electrons. This QD was electrically connected to the 2DEG via two tunneling barriers. A special electron heating technique was used to create a temperature difference between the two connecting reservoirs across the QD. The resulting thermoelectric voltage was used to study the charge and spin transport processes with respect to the discrete energy spectrum and the magnetic properties of the QD. Such a two dimensional island usually exhibits a discrete energy spectrum, which is comparable to that of atoms. At temperatures below a few degrees Kelvin, the electrostatic charging energy of the QDs exceeds the thermal activation energy of the electrons in the leads, and the transport of electrons through the QD is dominated by electron-electron interaction effects. The measurements clarify the overall line shape of thermopower oscillations and the observed fine structure as well as additional spin effects in the thermoelectrical transport. The observations demonstrate that it is possible to control and optimize the strength and direction of the electronic heat flow on the scale of a single impurity and create spin-correlated thermoelectric transport in nanostructures, where the experimenter has a close control of the exact transport conditions. The results support the assumption that the performance of thermoelectric devices can be enhanced by the adjustment of the QD energy levels and by exploiting the properties of the spin-correlated charge transport via localized, spin-degenerate impurity states. Within this context, spin entropy has been identified as a driving force for the thermoelectric transport in the spin-correlated transport regime in addition to the kinetic contributions. Fundamental considerations, which are based on simple model assumptions, suggest that spin entropy plays an important role in the presence of charge valence fluctuations in the QD. The presented model gives an adequate starting point for future quantitative analysis of the thermoelectricity in the spin-correlated transport regime. These future studies might cover the physics in the limit of single electron QDs or the physics of more complex structures such as QD molecules as well as QD chains. In particular, it should be noted that the experimental investigations of the thermopower of few-electron QDs address questions concerning the entropy transport and entropy production with respect to single-bit information processing operations. These questions are of fundamental physical interest due to their close connection to the problem of minimal energy requirements in communication, and thus ultimately to the so called "Maxwell's demon" with respect to the second law of thermodynamics.
Gegenstand der vorliegenden Arbeit ist die thermische Charakterisierung des Einflusses von ausfrierenden Füllgasen auf die Wärmeleitfähigkeit von Wärmedämmstoffen für kryogene Anwendungen am Beispiel von Kohlenstoffdioxid. Im Allgemeinen wird mit dem Wärmedämmmaterial der Wärmeverlust eines Gegenstandes herabgesetzt, der eine Temperaturdifferenz im Vergleich zur Umgebung aufweist. Um die Gesamtwärmeleitfähigkeit eines Dämmstoffes bei kryogenen Temperaturen, d.h. < 200 K, zu minimieren, wird das meist poröse Dämmmaterial in der Regel hinreichend evakuiert, um die Gaswärmeleitfähigkeit zu unterdrücken. Zur Evakuierung gibt es mehrere Möglichkeiten. Meist wird der Gasdruck durch Abpumpen der Füllgase abgesenkt. In dieser Arbeit wird jedoch das Evakuieren durch „Ausfrieren“ des Füllgases bei tiefen Temperaturen (Desublimations-Evakuierung) realisiert und untersucht. Die Problemstellung der vorliegenden Arbeit bestand zum einen in der experimentellen Untersuchung des Wärmetransportes unter Berücksichtigung desublimierter Gase in porösen Dämmmaterialien mit verschiedensten Bulk-Strukturen und zum anderen in deren theoretischen Beschreibung. Aus technischen Gründen wurde mit LN2 als Kryogen und mit CO2 als Füllgas gearbeitet. Die erreichbaren Temperaturen erlauben die Verwendung von CO2 als Füllgas, da hier der Restgasdruck ausreichend niedrig ist, um bei den untersuchten Proben die Gaswärmeleitfähigkeit zu unterdrücken. Im Rahmen dieser Arbeit wurde eine neue Messmethode zur Charakterisierung des Einflusses von desublimierten Füllgasen auf die Festkörperwärmeleitfähigkeit entwickelt, da die genaue Kenntnis der effektiven Wärmeleitfähigkeit für viele technische Anwendungen unerlässlich ist. Hierzu wurde einer bestehenden Platten-Apparatur zur Wärmeleitfähigkeitsbestimmung ein spezieller Probenbehälter implementiert, welcher die Untersuchung verschiedenster Probenmaterialien erlaubt. Dieser Probenbehälter ermöglicht die Injektion eines Gases in einen porösen Prüfkörper, welchem eine Temperatur von 77 K auf der kalten Seite und 293 K auf der warmen Seite aufgeprägt wurde. Dieses weiterentwickelte stationäre Messverfahren erlaubt neben der Bestimmung der Gesamtwärmeleitfähigkeit der gesamten Probe durch die Einbringung zusätzlicher Temperatursensoren in verschieden Positionen des porösen Materials auch die Bestimmung der effektiven Gesamtwärmeleitfähigkeit einzelner Schichten. Um ein breites Spektrum an porösen Materialien in dieser Arbeit abzudecken und die im Rahmen dieser Arbeit entwickelten Theorien zu validieren, wurden verschiedene Materialklassen untersucht. Neben einem Melaminharz-Schaum mit Zellgrößen um 100 µm und einem Polyimid-Vlies mit einem effektiven Faserdurchmesser um 7 µm wurden zwei Pulverproben untersucht, zum einen eine Schüttung aus Vollglaskugeln mit Partikeldurchmessern zwischen 1 und 10 µm und eine Schüttung aus getrübter Kieselsäure mit wesentlich kleineren Primär-Partikeln (<10 nm). Die erarbeiteten theoretischen Modelle zur Berechnung der Festkörperwärmeleitfähigkeit lassen erwarten, dass die Empfindlichkeit der Festkörperwärmeleitfähigkeit gegenüber abgeschiedenen Gasen je nach Materialklasse unterschiedlich groß ausfällt. Als Hauptmerkmal wurde das Vorhandensein von Punktkontakten zwischen den einzelnen Partikeln bzw. Elementen des porösen Materials identifiziert, sowie die spezifische Wechselwirkung (CO2-phil/phob). Die Punktkontakte sind mit ihren großen thermischen Widerständen maßgeblich für die Wärmeleitfähigkeit der Festkörperstruktur verantwortlich. Durch Ausfrieren der Füllgase an diesen Punktkontakten werden die thermischen Kontaktwiderstände stark herabgesetzt, so dass ein Anstieg der Festkörperwärmeleitfähigkeit erfolgt. Dieser fällt abhängig vom jeweiligen Material unterschiedlich hoch aus. Die bestehenden Festkörperwärmeleitfähigkeitsmodelle wurden um den Einfluß von desublimierten Füllgasen erweitert, um diese mit den Wärmeleitfähigkeitsmessungen zu vergleichen und eine Aussage über den Abscheidemechanismus treffen zu können. Das erweiterte Festkörperwärmeleitfähigkeitsmodell für die Vollglaskugel-Schüttung hat z.B. eine sehr starke Abhängigkeit von der geometrischen Verteilung des abgeschiedenen Gases gezeigt. Eine Konzentration der im Mittel abgeschiedenen Füllgase am Kontaktpunkt zwischen zwei Partikeln einer einfachen kubischen Anordnung erhöht die Wärmeleitfähigkeit um mehr als 800%, wohingegen die homogene Abscheidung auf der Oberfläche nur zu einer moderaten Erhöhung um ca. 30% führt. Die experimentellen Versuche konnten die theoretisch erwarteten großen Anstiege der Festkörperwärmeleitfähigkeit für die Schüttungen mit einer großen Punktkontaktdichte bestätigen. Diesen folgt die Polyimid-Faser-Probe mit einer geringen Punktkontaktdichte. Der Melaminharz-Schaum hingegen besitzt keine Punktkontakte und ist CO2-phob. Erwartungsgemäß zeigt dieser eine sehr geringe Abhängigkeit in der Festkörperwärmeleitfähigkeit von der injizierten Gasmenge. Absolute Zahlenwerte der mittleren Gesamtwärmeleitfähigkeiten der untersuchten porösen Materialien lagen für die Randtemperaturen 77 K und 293 K für die Vollglaskugel-Schüttung bei ca. 12∙10^-3 W/(mK), für die getrübte Kieselsäure bei ca. 1.7∙10^-3 W/(mK), für die Polyimid-Fasern bei ca. 0.8∙10^-3 W/(mK) und für den Melaminharz-Schaum bei ca. 4.5∙10^-3 W/(mK). Im Rahmen der injizierten CO2-Menge wurden die mittleren Gesamtwärmeleitfähigkeiten bei der Vollglaskugel-Schüttung und der getrübten Kieselsäure um ca. 15% im Vergleich zum evakuierten Zustand (ohne desublimiertes Füllgas) erhöht. Die Polyimid-Fasern und der Melaminharz-Schaum wiesen eine Erhöhung um ca. 7% bzw. 2% auf. Die relative Vergrößerung der Gesamtwärmeleitfähigkeit im kältesten Viertel der Probe fiel prozentual wesentlich stärker aus: ca. 300% für die getrübte Kieselsäure, ca. 75% für die Vollglaskugel-Schüttung, ca. 40% für die Polyimid-Fasern und ca. 5% für den Melaninharz-Schaum. Die Korrelation der erarbeiteten Festkörperwärmeleitfähigkeitsmodelle mit den gemessenen Wärmeleitfähigkeiten bedurfte jedoch weiterer Eingangsparameter, um eine eindeutige Schlussfolgerung über den Anlagerungsmechanismus (Punktkontaktanlagerung oder homogene Oberflächenanlagerung oder eine Kombination aus beiden) treffen zu können. Die Bestimmung der zwingend benötigten absoluten CO2-Verteilung innerhalb der Probe wurde dazu exemplarisch mittels Neutronen-Radiographie an der Vollglaskugelprobe in einem speziellen Probenbehälter am Helmholtz-Zentrum Berlin (HZB) durchgeführt. Die so ermittelte CO2-Verteilung innerhalb der Vollglaskugelprobe war in sehr gutem Einklang mit den durchgeführten Monte-Carlo-Simulationen zum Desublimationsverhalten. Das erarbeitete Simulations-Programm beschreibt den molekularen Stofftransport innerhalb eines porösen Dämmmaterials mit ebenfalls 77 K auf der kalten Seite und 300 K auf der warmen Seite. Der Programm-Algorithmus berücksichtigt dabei die spezifischen Adsorptionsenergien, sowie die temperaturabhängige Frequenz mit der ein adsorbiertes Gasmolekül an der Oberfläche schwingt, welche umgekehrt proportional zur Haftzeit an einem Ort ist. Die Simulation liefert als Ergebnis die durchschnittliche Haftdauer eines Teilchens an einem Ort, welche wiederum proportional zur Verteilung vieler Gasmoleküle, in diesem Fall der injizierten und anschließend desublimierten Gasmenge, ist. Die Ergebnisse zeigen sehr deutlich die Abhängigkeit der durchschnittlichen Haftzeit von der Temperatur und der Adsorptionsenergie. Weitere Informationen zur Wechselwirkung der CO2-Moleküle mit den untersuchten Proben lieferten die Adsorptionsmessungen an den Proben mit CO2 als Adsorptiv bzw. Adsorbens nach den Methoden von Brunauer, Emmett und Teller (BET) und der Methode nach Dubinin-Radushkevich (DR). Durch Kombination bzw. Korrelation der verschiedenen Untersuchungsmethoden und den theoretischen Modellen konnte bestimmt werden, dass das CO2 fast ausschließlich als homogene Schicht auf der Oberfläche der Vollglaskugeln desublimiert, welche eine entsprechend geringe Temperatur aufweisen. Weiterhin stellte sich heraus, dass eine starke Konzentration an der kalten Seite stattfindet, die zur warmen Seite exponentiell abnimmt. Die Auswertung der Korrelation zeigt Tendenzen einer leicht bevorzugten Abscheidung am Kontaktpunkt bei weiteren injizierten CO2-Mengen in die bereits mit CO2 beladene Probe. Die Betrachtung und Diskussion der Messergebnisse und Festkörperwärmeleitfähigkeitsmodelle der Polyimid-Fasern und der getrübten Kieselsäure lässt auf ein ähnliches Verhalten bei Desublimation der Füllgase innerhalb des porösen Probenkörpers schließen. Die Empfindlichkeit des Wärmeleitfähigkeitsanstiegs gegenüber weiteren Mengen an desublimiertem CO2 nahm tendenziell zu. Eine Ausnahme stellte jedoch der Melaminharz-Schaum dar, welcher eine abnehmende Empfindlichkeit des Wärmeleitfähigkeitsanstiegs gegenüber weiteren Mengen an desublimiertem CO2 aufwies. Dafür verantwortlich sind das abstoßende Verhalten von CO2 gegenüber Melaminharz und die Festkörperstruktur des Schaums.
We have observed thermal gating, i.e. electrostatic gating induced by hot electrons. The effect occurs in a device consisting of two capacitively coupled quantum dots. The double dot system is coupled to a hot electron reservoir on one side (QD1), while the conductance of the second dot (QD2) is monitored. When a bias across QD2 is applied we observe a current which is strongly dependent on the temperature of the heat reservoir. This current can be either enhanced or suppressed, depending on the relative energetic alignment of the QD levels. Thus, the system can be used to control a charge current by hot electrons.
The influence of different CdZnTe substrate treatments prior to II-VI molecular beam epitaxial growth on surface stoichiometry, oxygen, and carbon contamination has been studied using x-ray photoelectron spectroscopy and reflection high energy electron diffraction. Heating the substrate at 300 °C can eliminate oxygen contamination, but cannot completely remove carbon from the surface. Heating at higher temperatures decreases the carbon contamination only slightly, while increasing the Zn-Cd ratio on the surface considerably. The magnitude of the latter effect is surprising and is crucial when one is using lattice matched CdZnTe (Zn 4%) substrates.
Nuclear Magnetic Resonance (NMR) provides a highly flexible platform for non invasive analysis and imaging biological samples, since the manipulation of nuclear spin allows the tailoring of experiments to maximize the informativeness of the data. MRI is capable of visualizing a holistic picture of the lipid storage in living plant/seed. This review has sought to explain how the technology can be used to acquire functional and physiological data from plant samples, and how to exploit it to characterize lipid deposition in vivo. At the same time, we have referred to the current limitations of NMR technology as applied to plants, and in particular of the difficulty of transferring methodologies optimized for animal/medical subjects to plant ones. A forward look into likely developments in the field is included, anticipating its key future role in the study of living plant.
This PhD thesis addresses the photophysics of selected small organic molecules with the purpose of using them for efficient and even novel light sources. In particular, the studies presented focused on revealing the underlying exciton dynamics and determining the transition rates between different molecular states. It was shown how the specific properties and mechanisms of light emission in fluorescent molecules, molecules with phosphorescence or thermally activated delayed fluorescence (TADF), biradicals, and multichromophores can be utilized to build novel light-emitting devices. The main tool employed here was the analysis of the emitters’ photon statistics, i.e. the analysis of the temporal distribution of emitted photons, during electrical or optical excitation. In the introduction of this work, the working principle of an organic light-emitting diode (OLED) was introduced, while Chapter 2 provided the physical background of the relevant properties of organic molecules and their interaction with light. In particular, the occurrence of discrete energy levels in organic semiconductors and the process of spontaneous light emission were discussed. Furthermore, in this chapter a mathematical formalism was elaborated with the goal to find out what kind of information about the studied molecule can be obtained by analyzing its photon statistics. It was deduced that the intensity correlation function g (2)(t) contains information about the first two factorial moments of the photon statistics and that higher order factorial moments do not contain any additional information about the system under study if the system is always in the same state after the emission of a photon. To conclude the introductory part, Chapter 3 introduced the utilized characterization methods including confocal microscopy of single molecules, time correlated single photon counting and temperature dependent photoluminescence measurements. To provide the background necessary for an understanding of for the following result chapters, in Section 4.1 a closer look was taken at the phenomenon of blinking and photobleaching of individual molecules. For a squaraine-based fluorescent emitter rapid switching between a bright and dark state was observed during photoexcitation. Using literature transition rates between the molecular states, a consistent model was developed that is able to explain the distribution of the residence times of the molecule in the bright and dark states. In particular, an exponential and a power-law probability distribution was measured for the time the molecule resides in tis bright and dark state, respectively. This behavior as well as the change in photoluminescence intensity between the two states was conclusively explained by diffusion of residual oxygen within the sample, which had been prepared in a nitrogen-filled glovebox. For subsequent samples of this work, thin strips of atomic aluminum were deposited on the matrices to serve as oxygen getter material. This not only suppressed the efficiency of photobleaching, but also noticeably prolonged the time prior to photobleaching, which made many of the following investigations possible in the first place. For emitters used in displays, emission properties such as narrow-band luminescence and short fluorescence lifetimes are desired. These properties can be influenced not only by the emitter molecule itself, but also by the interaction with the chosen environment. Therefore, before focusing on the photophysics of individual small organic molecules, Section 4.2 highlighted the interaction of a perylene bisimide-based molecular species with its local environment in a disordered polymethyl methacrylate matrix. In a statistical approach, individual photophysical properties were measured for 32 single molecules and correlations in the variation of the properties were analyzed. This revealed how the local polarity of the molecules’ environment influences their photophysics. In particular, it was shown how an increase in local polarity leads to a red-shifted emission, narrower emission lines, broader vibronic splitting between different emission lines in combination with a smaller Huang-Rhys parameter, and a longer fluorescence lifetime. In the future, these results may help to embed individual chromophores into larger macromolecules to provide the chromophore with the optimal local environment to exhibit the desired emission properties. The next two sections focused on a novel and promising class of chromophores, namely linear coordinated copper complexes, synthesized in the group of Dr. Andreas Steffen at the Institute of Inorganic Chemistry at the University of Würzburg. In copper atoms, the d-orbitals are fully occupied, which prevents undesirable metal-centered d-d⋆ states, which tend to lie low in energy and recombine non-radiatively. Simultaneously, the copper atom provides a flexible coordination geometry, while complexes in their linear form are expected to exhibit the least amount of excited state distortions. Depending on the chosen ligands, these copper complexes can exhibit phosphorescence as well as temperature activated delayed fluorescence. In Section 4.3, a phosphorescent copper complex with a chlorine atom and a 1-(2,6-diisopropylphenyl)-3,3,5,5-tetramethyl-2-pyrrolidine-ylidene- ligand was tested for its suitability as an optically active material in an OLED. For this purpose, an OLED with a polyspirobifluorene-based copolymer matrix and the dopant at a concentration of 20 wt% was electrically excited. Deconvolution of the emission spectrum in contributions from the matrix and the dopant revealed that 60 % of the OLEDs emission was due to the copper complex. It was also shown that the shape of the emission spectrum of the copper complex remains unchanged upon incorporation into the OLED, but is red-shifted by about 233 meV. In Section 4.4, a second copper complex exhibiting thermally activated delayed fluorescence was analyzed. This complex comprised a carbazolate as well as a 2-(2,6- diisopropyl)-phenyl-1,1-diphenyl-isoindol-2-ium-3-ide ligand and was examined in the solid state and at the single-molecule level, where single photon emission was recorded up to an intensity of 78’000 counts per second. The evaluation of the second-order autocorrelation function of the emitted light proved an efficient transition between singlet and triplet excited states on the picosecond time scale. In the solid state, the temperature- dependent fluorescence decay of the complex was analyzed after pulsed photoexcitation in the temperature range between 300 K and 5 K. From these measurements, a small singlet-triplet energy gap of only 65 meV and a triplet sublevel splitting of 3.0 meV were derived. The transition rates between molecular states could also be determined. Here, the fast singlet decay time of τS1 = 9.8ns proved the efficient thermally activated delayed fluorescence process, which was demonstrated for the first time for this new class of copper(I) complexes thus. While the use of thermally activated delayed fluorescence is a potential way to harness otherwise long-living dark triplet states, radicals completely avoid dark triplet states. However, this usually comes with the huge drawback of the molecules being chemically unstable. Therefore, two chemically stable biradical species were synthesized in the framework of the DFG research training school GRK 2112 on Molecular biradicals: structure, properties and reactivity, by Yohei Hattori in the group of Prof. Dr. Christoph Lambert and Rodger Rausch in the group of Prof. Dr. Frank Würthner at the Institute of Organic Chemistry at the University of Würzburg, respectively. In Section 4.5, it was investigated how these molecules can be used in OLEDs. In the first isoindigo based biradical (6,6’-bis(3,5-di-tert-butyl-4-phenoxyl)-1,1’-bis(2- ethylhexyl)-[3,3’-biindolinyl-idene]-2,2’-dione) two tert-butyl moieties kinetically block chemical reactions at the place of the lone electrons and an electron-withdrawing core shifts the electron density into the center of the chromophore. With these properties, it was possible to realize a poly(p-phenylene vinylene) copolymer based OLED doped with the biradical and to observe luminescence during optical as well as electrical excitation. Analyzing shapes of the photo- and electroluminescence spectra at different doping concentrations, Förster resonance energy transfer was determined to be the dominant transition mechanism for excitons from the matrix to the biradical dopants. Likewise, OLEDs could be realized with the second diphenylmethylpyridine based birad- ical (4-(5-(bis(2,4,6-trichlorophenyl)methyl)-4,6-dichloropyridin-2-yl)-N-(4-(5-(bis(2,4,6- -trichlorophenyl)methyl)-4,6-dichloropyridin-2-yl)phenyl)-N-(4-methoxyphenyl)aniline) as dopant. In this biradical, chlorinated diphenylmethyl groups protect the two unpaired electrons. Photo- and electroluminescence spectra showed an emission in the near in- frared spectral range between 750 nm and 1000 nm. Also, Förster resonance energy trans- fer was the dominant energy transfer mechanism with an transfer efficiency close to 100 % even at doping concentrations of only 5 wt%. In addition to demonstrating the working OLEDs based in biradicals, the detection of luminescence of the two biradical species in devices also constitutes an important step toward making use of experimental techniques such as optically detected electron spin resonance, which could provide information about the electronic states of the emitter and their spin manifold during OLED operation. Another class of emitters studied are molecules in which several chromophores are co- valently linked to form a macrocyclic system. The properties of these multichromophores were highlighted in Section 4.6. Here, it was analyzed how the photophysical behavior of the molecules is affected by the covalent linking, which determines the interaction be- tween the chromophores. The first multichromophore, 2,2’-ditetracene, was synthesized by Lena Ross in the group of Prof. Dr. Anke Krüger at the Institute of Organic Chemistry at the University of Würzburg and was analyzed in this work both at the single-molecule level and in its aggregated crystalline form. While the single crystals were purified and grown in a vertical sublimation oven, the samples for the single molecule studies were prepared in matrices of amorphous polymethyl methacrylate and crystalline anthracene. Tetracene was analyzed concurrently to evaluate the effects of covalent linking. In samples where the distance between two molecules is sufficiently large, tetracene and 2,2’-ditracene show matching emission profiles with the only difference in the Franck-Condon factors and a de- creased photoluminescence decay time constant from 14 ns for tetracene to 5 ns for 2,2’- ditracene, which can be attributed to the increased density of the vibrational modes in 2,2’-ditracene. Evaluation of the photon statistics of individual 2,2’-ditracene molecules however showed that the system does not behave as two individual chromophores but as a collective state, preserving the spectral properties of the two tetracene chromophores. Complementary calculations performed by Marian Deutsch in the group of Prof. Dr. Bernd Engels at the Institute of Physical and Theoretical Chemistry at the University of Würzburg helped to understand the processes in the materials and could show that the electronic and vibronic modes of 2,2’-ditracene are superpositions of the modes occurring in tetracene. In contrast, single-crystalline 2,2’-ditetracene behaves significantly different than tetracene, namely exhibiting a red shift in photoluminescence of 150 meV, caused by an altered crys- talline packing that lowers the S1-state energy level. Temperature-dependent photolu- minescence measurements revealed a rich emission pattern from 2,2’-ditetracene single crystals. The mechanisms behind this were unraveled using photoluminescence lifetime density analysis in different spectral regions of the emission spectrum and at different tem- peratures. An excimer state was identified that is located about 5 meV below the S1-state, separated by a 1 meV barrier, and which can decay to the ground state with a time constant of 9 ns. Also, as the S1-state energy level is lowered below the E(S1) ≥ 2 ×E(T1) threshold, singlet fission is suppressed in 2,2’-ditetracene in contrast to tetracene. Therefore, at low temperatures, photoluminescence is enhanced by a factor of 46, which could make 2,2’- ditetracene a useful material for future applications in devices such as OLEDs or lasers. The second multichromophore species, para-xylylene bridged perylene bisimide macrocycles, were synthesized by Peter Spenst in the group of Prof. Dr. Frank Würthner at the Institute of Organic Chemistry at the University of Würzburg, by linking three and four perylene bisimides, respectively. To reveal the exciton dynamics in these macrocycles, highly diluted monomers as well as trimers and tetramers were doped into matrices of polymethyl methacrylate to create thin films in which individual macrocycles could be analyzed. The emission spectra of the macrocycles remained identical to those of the monomers, indicating weak coupling between the chromophores. Single photon emission could be verified for monomers as well as macrocycles, as exciton-exciton annihilation processes suppress the simultaneous emission of two photons from one macrocycle. Nevertheless, the proof of the occurrence of a doubly excited state was obtained by excitation power dependent photon statistics measurements. The formalism developed in the theory part of this thesis for calculating the photon statistics of multichromophore systems was used here to find a theoretical model that matches the experimental results. The main features of this model are a doubly excited state, fast singlet-singlet annihilation, and an efficient transition from the doubly excited state to a dark triplet state. The occurrence of triplet-triplet annihilation was demonstrated in a subsequent experiment in which the macrocycles were excited at a laser intensity well above the saturation intensity of the monomer species. In contrast to the monomers, the trimers and tetramers exhibited neither a complete dark state nor saturation of photoluminescence. Both processes, efficient singlet-singlet and triplet-triplet annihilation make perylene bisimide macrocycles exceptionally bright single photon emitters. These advantages were utilized to realize a room temperature electrically driven fluorescent single photon source. For this purpose, OLEDs were fabricated using polyvinylcarbazole and 2-tert-butylphenyl-5-biphenyl-1,3,4-oxadiazol blends as a host material for perylene bisimide trimers. Photon antibunching could be observed in both optically and electrically driven devices, representing the first demonstration of electrically driven single photon sources using fluorescent emitters at room temperature. As expected from the previous optical experiments, the electroluminescence of the molecules was exceptionally bright, emitting about 105 photons per second, which could be seen even by eye under the microscope. Finally, in the last section 4.7 of this thesis, two additional measurement schemes were proposed as an alternative to the measurement of the second-order correlation function g (2)(t) of single molecules, which only provides information about the first two factorial moments of the molecules’ photon statistics. In the first scheme, the g (3)(t) function was measured with three photodiodes, which is a consequential extension of the Hanbury Brown and Twiss measurement with two photodiodes. It was demonstrated how measuring the g (3)(t) function is able to identify interfering emitters with non-Poisson statistics in the experiment. The second setup was designed with an electro-optic modulator that repeatedly gen- erates photoexcitation in the form of a step function. The recording of luminescence transients for different excitation intensities yields the same results as the correspond- ing g (2)-functions measured on single emitters, both in their shape and in their depen- dence on excitation power. To demonstrate this concept, the TADF emitter TXO-TPA (2- [4-(diphenylamino)phenyl]-10,10-dioxide-9H-thioxanthen-9-one) was doped at a concen- tration of 10−4 wt% in a mCP (1,3-Bis(N-carbazolyl)benzene) matrix. This concentration was low enough that TXO-TPA molecules did not interact with each other, but an ensem- ble of molecules was still present in the detection volume. The intramolecular transition rates between singlet and triplet states of TXO-TPA could be derived with an error of at most 5 %. Other experimental techniques designed to obtain this information require ei- ther lengthy measurements on single molecules, where sample preparation is also often a challenge, or temperature-dependent fluorescence lifetime measurements, which require a cryostat, which in turn places constraints on the sample design used. In future, this ap- proach could establish a powerful method to study external factors influencing molecular transition rates. Overall, this thesis has introduced new molecular materials, revealed their photophys- ical properties, and demonstrated how they can be used to fabricate efficient and even novel light sources.
The issue of quantum mechanical coupling between a semiconductor quantum dot and a quantum well is studied in two families of GaAs- and InP- based structures at cryogenic temperatures. It is shown that by tuning the quantum well parameters one can strongly disturb the 0D-character of the coupled system ground state, initially located in a dot. The out-coupling of either an electron or a hole state from the quantum dot confining potential is viewed by a significant elongation of the photoluminescence decay time constant. Band structure calculations show that in the GaAs-based coupled system at its ground state a hole remains isolated in the dot, whereas an electron gets delocalized towards the quantum well. The opposite picture is built for the ground state of a coupled system based on InP.
Understanding a complex network’s structure holds the key to understanding its function. The physics community has contributed a multitude of methods and analyses to this cross-disciplinary endeavor. Structural features exist on both the microscopic level, resulting from differences between single node properties, and the mesoscopic level resulting from properties shared by groups of nodes. Disentangling the determinants of network structure on these different scales has remained a major, and so far unsolved, challenge. Here we show how multiscale generative probabilistic exponential random graph models combined with efficient, distributive message-passing inference techniques can be used to achieve this separation of scales, leading to improved detection accuracy of latent classes as demonstrated on benchmark problems. It sheds new light on the statistical significance of motif-distributions in neural networks and improves the link-prediction accuracy as exemplified for gene-disease associations in the highly consequential Online Mendelian Inheritance in Man database.
Phylogenetically related groups of species contain lineage-specific genes that exhibit no sequence similarity to any genes outside the lineage. We describe here that the Jekyll gene, required for sexual reproduction, exists in two much diverged allelic variants, Jek1 and Jek3. Despite low similarity, the Jek1 and Jek3 proteins share identical signal peptides, conserved cysteine positions and direct repeats. The Jek1/Jek3 sequences are located at the same chromosomal locus and inherited in a monogenic Mendelian fashion. Jek3 has a similar expression as Jek1 and complements the Jek1 function in Jek1-deficient plants. Jek1 and Jek3 allelic variants were almost equally distributed in a collection of 485 wild and domesticated barley accessions. All domesticated barleys harboring the Jek1 allele belong to single haplotype J1-H1 indicating a genetic bottleneck during domestication. Domesticated barleys harboring the Jek3 allele consisted of three haplotypes. Jekyll-like sequences were found only in species of the closely related tribes Bromeae and Triticeae but not in other Poaceae. Non-invasive magnetic resonance imaging revealed intrinsic grain structure in Triticeae and Bromeae, associated with the Jekyll function. The emergence of Jekyll suggests its role in the separation of the Bromeae and Triticeae lineages within the Poaceae and identifies the Jekyll genes as lineage-specific.
The structural properties of HgSe grown by molecular beam epitaxy (MBE) are investigated for different lattice mismatches to the substrate and various growth conditions. The growth rate is shown to depend strongly on the growth temperature above lOO°C as well as on the Hg/Se flux ratio. It has been found that the crystalline perfection and the electrical properties are mainly determined by the layer thickness, especially for the growth on highly lattice mismatched substrates. Changes in the surface morphology are related to growth parameters. Differences between the electrical behavior of MBE-grown and bulk HgSe are discussed. The electrical properties of HgSe contacts on p-ZnSe are investigated as a function of different annealing procedures.
Molecular beam epitaxially grown short period (001) Hg\(_{1_x}\)Cd\(_x\)Te-HgTe superlattices have been systematically investigated. Several narrow well widths were chosen, e.g., 30, 35 and 40 Å, and the barrier widths were varied between 24 and 90 Å for a particular well width. Both the well width and the total period were determined directly by means of x-ray diffraction. The well width was determined by exploiting the high reflectivity from HgTe and the low reflectivity from CdTe for the (002) Bragg reflection. Knowing the well and barrier widths we have been able to set an upper limit on the average Cd concentration of the barriers, \(\overline x_b\), by annealing several superlattices and then measuring the composition of the resulting alloy. \(\overline x_b\) was shown to decrease exponentially with decreasing barrier width. The structure of a very short period superlattice, i.e., 31.4 Å, was also investigated by transmission electron microscopy, corroborating the x-ray diffraction results.
Summary The nature of the chemical bond is a topic under constant debate. What is known about individual molecular properties and functional groups is often taught and rationalized by explaining Lewis structures, which, in turn, make extensive use of the valence concept. The valence concept distinguishes between electrons, which do not participate in chemical interactions (core electrons) and those, which do (single, double, triple bonds, lone-pair electrons, etc.). Additionally, individual electrons are assigned to atomic centers. The valence concept is of paramount success: It allows the successful planning of chemical syntheses and analyses, it explains the behavior of individual functional groups, and, moreover, it provides the “language” to think of and talk about molecular structure and chemical interactions. The resounding success of the valence concept may be misleading to forget its approximative character. On the other hand, quantum mechanics provide in principle a quantitative description of all chemical phenomena, but there is no discrimination between electrons in quantum mechanics. From the quantum mechanical point of view there are only indistinguishable electrons in the field of the nuclei, i.e., it is impossible to assign a given electron to a particular center or to ascribe a particular purpose to individual electrons. The concept of indistinguishability of micro particles is founded on the Heisenberg uncertainty relation, which states, that wavepackets diverge in the 6N dimensional phase space, such that individual trajectories can not be identified. Hence it is a deep-rooted and approved physical concept. As an introduction to the present work density partitioning schemes were discussed, which divide the total molecular density into chemically meaningful areas. These partitioning schemes are intimately related to either the concepts of bound atoms in a molecule (as in the Atoms In Molecules theory (AIM) according to Bader or as in the Hirshfeld partitioning scheme) or to the concept of chemical structure in the sense of Lewis structures, which divide the total molecular density into core and valence density, where the valence density is split up again into bonding and non-bonding electron densities. Examples are early and recent loge theories, the topological analysis by means of the Electron Localization Function (ELF), and the Natural Bond Orbital (NBO) approach. Of these partitioning schemes, the theories according to Bader (AIM), to Becke and Edgecomb (ELF) and according to Weinhold (NBO and Natural Resonance Theory, NRT), respectively, were reviewed in detail critically. Points of criticism were explicated for each of the mentioned theories. Since theoretically derived electron densities are to be compared to experimentally derived densities, a brief introduction into the theory of X-ray di®raction experiments was given and the multipole formalism was introduced. The procedure of density refinement was briefly discussed. Various suggestions for improvements were developed: One strategy would be the employment of model parameters, which are to a maximum degree mutually orthogonal, with the object of minimizing correlations among the model parameters, e.g., to introduce nodal planes into the radial functions of the multipole model. A further suggestion involves the guidance of the iterative refinement procedure by an extremum principle, which states, that when di®erent solutions to the least squares minimization problem are available with about the same statistical measures of quality and with about the same residual density, then the solution is to prefer, which yields a minimum density at the bond critical point (BCP) and a maximum polarity in terms of the ratio of distances between the BCP and the nuclei. This suggestion is based on the well known fact, that the bond polarity (in terms of the ratio of distances between the BCP and the respective nuclei) is underestimated in the experiment. Another suggestion for including physical constraints is the explicit consideration of the virial theorem, e.g., by evaluating the integration of the Laplacian over the entire atomic basins and comparing this value to zero and to the value obtained from the integration of the electron gradient field over the atomic surface. The next suggestion was to explicitly use the electrostatic theorem of Feynman (often also denoted as Hellmann-Feynman theorem), which states, that the forces onto the nuclei can be calculated from the purely classical electrostatic forces of the electron distribution and the nuclei distribution. For a stationary system, these forces must add to zero. This also provides an internal quality criterion of the density model. This can be performed in an iterative way during the refinement procedure or as a test of the final result. The use of the electrostatic theorem is expected to reduce significantly correlations among static density parameters and parameters describing vibrations, since it is a valuable tool to discriminate between physically reasonable and artificial static electron densities. All of these mentioned suggestions can be applied as internal quality criteria. The last suggestion is based on the idea to initiate the experimental refinement with a set of model parameters, which is, as much as possible close to the final solution. This can be achieved by performing periodic boundary conditions calculations, from which theoretically created files are obtained, which contain the Miller indices (h, k, l) and the respective intensity I. This file is used for a model parameter estimation (refinement), which excludes vibrations. The resulting parameters can be used for the experimental refinement, where, in a first step, the density parameters are fixed to determine the parameters describing vibrations. For a fine tuning, again the electrostatic theorem and the other above mentioned suggestions could be applied. Theoretical predictions should not be biased by the method of computation. Therefore the dependence of the density analyzing tools on the level of calculation (method of calculation/basis set) and on the substituents in complex chemical bonding situations were evaluated in the second part of the present work. A number of compounds containing formal single and double sulfur nitrogen bonds was investigated. For these compounds, experimental data were also available. The calculated data were compared internally and with the experimental results. The internal comparison was drawn with regard to questions of convergency as well as with regard to questions of consistency: The resulting molecular properties from NBO/NRT analyses were found to be very stable, when the geometries were optimized at the respective level of theory. This stability is valid for variations in the methods of calculation as well as for variations in the basis set. Only the individual resonance weights of the contributing Natural Lewis Structures differed considerably depending on the level of calculation and depending on the substituents. However, the deviations were in both cases to a large extent within a limit which preserves the descending order of the leading resonance structure weights. The resulting bond orders, i.e., the total, covalent and ionic bond order from NRT calculations, were not affected by the shift in the resonance weights. The analysis of the bond topological parameters resulted in a discrimination between insensitive parameters and sensitive parameters. The stable parameters do neither depend strongly on the method of calculation nor on the basis set. Only minor variation occurs in the numerical values of these parameters, when the level of calculation is changed or even when other functional groups (H, Me, or tBu) are employed, as long as the methods of calculation do not drop considerably below a standard level. The bond descriptors of the sulfur nitrogen bonds were found to be also stable with respect to the functional groups R = H, R = Me, and R = tBu. Stable parameters are the bond distance, the density at the bond critical point (BCP) and the ratio of distances between the BCP and the nuclei A and B, which varies clearly when considering the formal bond type. For very small basis sets like the 3-21G basis set, this characteristic stability collapses. The sensitive parameters are based on the second derivatives of the density with respect to the coordinates. This is in accordance with the well known fact, that the total second derivative of the density with respect to the coordinates is a strongly oscillating function with positive as well as negative values. A profound deviation has to be anticipated as a consequence of strong oscillations. lambda3, which describes the local charge depletion in the direction of the interaction line, is the most varying parameter. A detailed analysis revealed that the position of the BCP in the rampant edge of the Laplacian distribution is responsible for the sensitivity of the numerical value of lambda3 in formal double bonds. Since the slope of the Laplacian assumes very high values in its rampant edge, a tiny displacement of the BCP leads already to a considerable change in lambda3. This instability is not a failure of the underlying theory, but it yields de facto to a considerable dependence of sensitive bond topological properties on the method of calculation and on the applied basis sets. Since the total second derivative is important to judge on the nature of the bond in the AIM theory (closed shell interactions versus shared interactions), the changes in lambda3 can lead to differing chemical interpretations. The comparison of theoretically derived bond topological properties of various sulfur nitrogen bonds provides the possibility to measure the self consistency of this data set. All data sets clearly exhibit a linear correlation between the bond distances and the density at the BCP on one hand and between the bond distances and the Laplacian values at the BCP on the other hand. These correlations were almost independent of the basis set size. In this context, the linear regression has to be regarded exclusively as a descriptive statistics tool. There is no correlation anticipated a priori. The formal bond type was found to be readily deducible from the theoretically obtained bond topological descriptors of the model systems. In this sense, the bond topological properties are self consistent despite of the numerical sensitivity of the derivatives, as exemplified above. Often, calculations are performed with the experimentally derived equilibrium geometries and not with optimized ones. Applying this approach, the computationally costly geometry optimizations are saved. Following this approach the bond topological properties were calculated using very flexible basis sets and employing the fixed experimental geometry (which, of course, includes the application of tBu groups). Regression coe±cients similar to those from optimized geometries were obtained for correlations between bond distances and the densities at the BCP as well as for the correlation between bond distances and the Laplacian at the BCP, i.e. the approach is valid. However, the data points scattered less and the coe±cient of correlation was clearly increased when geometry optimizations were performed beforehand. The comparison between data obtained from theory and experiment revealed fundamental discrepancies: In the data set of bond topological parameters from the experiment, the behavior of only 2 out of 3 insensitive parameters was comparable to the behavior of the theoretically obtained values, i.e. theoretical and experimental bond distances as well as theoretical and experimental densities at the BCP correlate. From the theoretically obtained data it was easy to deduce the formal bond type from the position of the BCP, since it changed in a systematic manner. The respective experimentally obtained values were almost constant and did not change systematically. For the SN bonds containing compounds, the total second derivative assumes exclusively negative values in the experiment. Due to the different internal behavior, experimentally and theoretically sensitive bond topological values could not be compared directly. The qualitative agreement in the Laplacian distribution, however, was excellent. In the third and last part of this work, the application to chemical systems follows. Formal hypervalent molecules, i.e. molecules where some atoms are considered to hold more than 8 electrons in their valence shell, were investigated. These were compounds containing sulfur nitrogen bonds (H(NtBu)2SMe, H2C{S(NtBu)2(NHtBu)}2, S(NtBu)2 and S(NtBu)3) and a highly coordinated silicon compound. The set of sulfur nitrogen compounds also contained a textbook example for valence expansion, the sulfur triimide. For these molecules, experimental reference values were available from high resolution X-ray experiments. The experimental results were in the case of the sulfur triimide not unique. Furthermore, from the experimental bond topological data no definite conclusion about the formal bonding type could be drawn. The situation of sulfur nitrogen bonds in the above mentioned set of molecules was analyzed in terms of a geometry discussion and by means of a topological analysis. The methyl-substituted isolated molecules served as model compounds. For the interpretation of the bonding situation additional NBO/NRT calculations were preformed for the sulfur nitrogen compounds and an ELF calculation and analysis was performed for the silicon compound. The ELF analysis included not only the presentation and discussion of the ELF-isosurfaces (eta = 0.85), but also the investigation of populations of disynaptic valence basins and the percentage contributions to these populations of the individual atoms when the disynaptic valence basins are split into atomic contributions according to Bader’s partitioning scheme. The question of chemical interest was whether hypervalency is present in the set of molecules or not. In the first case the octet rule would be violated, in the second case Pauling’s verdict would be violated. While the concept of hypervalency is well established in chemistry, the violation of Pauling’s verdict is not. The quantitative numbers of the sensitive bond topological values from theory and experiment were not comparable, since no systematic relationship between the experimentally and theoretically determined sensitive bond descriptors was found. However, the insensitive parameters are in good agreement and the qualitative Laplacian distribution is, with few exceptions, in excellent agreement. The formal bonding type was deduced from experimental and theoretical topological data by considering the number and shape of valence shell charge concentrations in proximity to the sulfur and nitrogen centers. The results from NBO/NRT calculations confirmed the findings. All employed density analyzing tools AIM, ELF and NBO/NRT coincided in describing the bonding situation in the formally hypervalent molecules as highly polar. A comparison and analysis of experimentally and theoretically derived electron densities led consistently to the result, that regarding this set of molecules, hypervalency has to be excluded unequivocally.
Topological phenomena known from solid state physics have been transferred to a variety of other classical and quantum systems. Due to the equivalence of the Hamiltonian matrix describing tight binding models and the grounded circuit Laplacian describing an electrical circuit we can investigate such phenomena in circuits. By implementing different Hermitian topological models general suggestions on designing those types of circuit are worked out with the aim of minimizing unwanted coupling effects and parasitic admittances in the circuit. Here the existence and the spatial profile of topological states as well as the band structure of the model can be determined.
Due to the complex nature of electric admittance the investigations can be directly expanded to systems with broken Hermiticity. The particular advantages of the experimental investigation of non-exclusively topological phenomena by means of electric circuits come to light in the realization of non-Hermitian and non-linear models. Here we find limitation of the Hermitian bulk-boundary correspondence principle, purely real eigenvalues in non-Hermitian PT-symmetrical systems and edge localization of all eigenstates in non-Hermitian and non-reciprocal systems, which in literature is termed the non-Hermitian skin effect.
When systems obeying non-linear equations are studied, the grounded circuit Laplacian based on the Fourier-transform cannot be applied anymore. By combination of the connectivity of a topological system together with non-linear van der Pol oscillators self-activated and self-sustained topological edge oscillations can be found. These robust high frequency sinusoidal edge oscillations differ significantly from low frequency relaxation oscillations, which can be found in the bulk of the system.
We report the results of a detailed investigation on the Te-stabilized (2 x 1) and the Cdstabilized c( 2 X 2) surfaces of ( 100) CdTe substrates. The investigation demonstrates for the first time that both laser illumination and, to a greater extent, high-energy electron irradiation increase the Te desorption and reduce the Cd desorption from ( 100) CdTe surfaces. Thus it is possible by choosing the proper growth temperature and photon or electron fluxes to change the surface reconstruction from the normally Te-stabilized to a Cd-stabilized phase.
Organic solar cells have great potential to become a low-cost and clean alternative to conventional photovoltaic technologies based on the inorganic bulk material silicon. As a highly promising concept in the field of organic photovoltaics, bulk heterojunction (BHJ) solar cells consist of a mixture of an electron donating and an electron withdrawing component. Their degree of intermixing crucially affects the generation of photocurrent. In this work, the effect of an altered blend morphology on polaron pair dissociation, charge carrier transport, and nongeminate recombination is analyzed by the charge extraction techniques time delayed collection field (TDCF) and open circuit corrected transient charge extraction (OTRACE). Different comparative studies cover a broad range of material systems, including polymer and small-molecule donors in combination with different fullerene acceptors. The field dependence of polaron pair dissociation is analyzed in blends based on the polymer pBTTT-C16, allowing a systematic tuning of the blend morphology by varying the acceptor type and fraction. The effect of both excess photon energy and intercalated phases are minor compared to the influence of excess fullerene, which reduces the field dependence of photogeneration. The study demonstrates that the presence of neat fullerene domains is the major driving force for efficient polaron pair dissociation that is linked to the delocalization of charge carriers. Furthermore, the influence of the processing additive diiodooctane (DIO) is analyzed using the photovoltaic blends PBDTTT-C:PC71BM and PTB7:PC71BM. The study reveals amulti-tiered alteration of the blend morphology of PBDTTT-C based blends upon a systematic increase of the amount of DIO. Domains on the hundred nanometers length scale in the DIO-free blend are identified as neat fullerene agglomerates embedded in an intermixed matrix. With the addition of the additive, 0.6% and 1% DIO already substantially reduces the size of these domains until reaching the optimum 3% DIO mixture, where a 7.1% power conversion efficiency is obtained. It is brought into connection with the formation of interpenetrating polymer and fullerene phases. Similar to PBDTTT-C, the morphology of DIO-free PTB7:PC71BM blends is characterized by large fullerene domains being decreased in size upon the addition of 3% DIO. OTRACE measurements reveal a reduced Langevin-type, super-second order recombination in both blends. It is demonstrated that the deviation from bimolecular recombination kinetics cannot be fully attributed to the carrier density dependence of the mobility but is rather related to trapping in segregated PC71BM domains. Finally, with regard to small-molecule donors, a higher yield of photogeneration and balanced transport properties are identified as the dominant factors enhancing the efficiency of vacuum deposited MD376:C60 relative to its solution processed counterpart MD376:PC61BM. The finding is explained by a higher degree of dimerization of the merocyanine dye MD376 and a stronger donor-acceptor interaction at the interface in the case of the vacuum deposited blend.
Microstructural changes and the understanding of their effect on photocurrent generation are key aspects for improving the efficiency of organic photovoltaic devices. We analyze the impact of a systematically increased amount of the solvent additive diiodooctane (DIO) on the morphology of PBDTTT-C:PC71BM blends and related changes in free carrier formation and recombination by combining surface imaging, photophysical and charge extraction techniques. We identify agglomerates visible in AFM images of the 0% DIO blend as PC71BM domains embedded in an intermixed matrix phase. With the addition of DIO, a decrease in the size of fullerene domains along with a demixing of the matrix phase appears for 0.6% and 1% DIO. Surprisingly, transient absorption spectroscopy reveals an efficient photogeneration already for the smallest amount of DIO, although the largest efficiency is found for 3% DIO. It is ascribed to a fine-tuning of the blend morphology in terms of the formation of interpenetrating donor and acceptor phases minimizing geminate and nongeminate recombination as indicated by charge extraction experiments. An increase in the DIO content to 10% adversely affects the photovoltaic performance, most probably due to an inefficient free carrier formation and trapping in a less interconnected donor-acceptor network.
In this letter we study the influence of temperature and excitation power on the emission linewidth from site-controlled InGaAs/GaAs quantum dots grown on nanoholes defined by electron beam lithography and wet chemical etching. We identify thermal electron activation as well as direct exciton loss as the dominant intensity quenching channels. Additionally, we carefully analyze the effects of optical and acoustic phonons as well as close-by defects on the emission linewidth by means of temperature and power dependent micro-photoluminescence on single quantum dots with large pitches. (C) 2014 Author(s).
The second-order correlation function g\(^2\)(\(\tau\) = 0), input-output curves and pulse duration of the emission from a microcavity exciton-polariton system subsequent to picosecond-pulsed excitation are measured for different temperatures. At low temperatures a two-threshold behaviour emerges, which has been attributed to the onset of polariton lasing and conventional lasing at the first and the second threshold, respectively. We observe that polariton lasing is stable up to temperatures comparable with the exciton binding energy. At higher temperatures a single threshold displays the direct transition from thermal emission to photon lasing.
In dieser Arbeit werden für die Anwendung in der menschlichen Lunge
optimierte Methoden zur Bestimmung von T1- und T2*-Karten diskutiert:
Dc-Gating ermöglicht die Quantifizierung in freier Atmung, wobei für die
T1-Quantifizierung mittels Inversion Recovery eine Korrektur des dc-Signals
entwickelt wurde. Dies hat den Vorteil, dass Parameterkarten aus mehreren
Messungen anhand ihrer dc-Signale passend überlagert werden können. Da T1
und T2* auf unterschiedliche Art und Weise von der Sauerstoffkonzentration
abhängen, verbessert dies die Möglichkeit, ΔT1- und ΔT2*- Differenzkarten aus
Messungen mit unterschiedlichen O2-Konzentrationen im Atemgas zu erstellen.
Die Parameterquantifizierung ist in erster Linie für die Beobachtung von
Krankheitsverläufen interessant, da T1 und T2* absolute, vergleichbare Zahlen
sind. Da T2* deutlich vom Atemzustand abhängt, ist es auch hierfür sinnvoll,
durch Gating identische Atemzustände abzubilden. Um die unterschiedlichen
Einflüsse des Sauerstoffs auf T1 und T2* besser vergleichbar zu machen, wurde
in dieser Arbeit weiterhin eine kombinierte Messung für beide Parameter
implementiert: Da auch diese in freier Atmung stattfindet, profitieren nicht
nur die Differenzkarten von der Überlagerung der Bilder, sondern auch der
Vergleich der ΔT1- und ΔT2*-Karten untereinander.
Messungen mit einer konventionellen kartesischen Methode an COPD-Patienten
unter Raumluft- und 100% Sauerstoffatmung ergaben bei Verwendung identischer
Atemmasken ein deutlich geringeres ΔT1 als in gesunden Probanden. Dass T1 in
der Lunge nicht nur von der Sauerstoffkonzentration sondern auch von der
Gewebezusammensetzung und insbesondere auch dem Blutvolumenanteil abhängt,
zeigte sich hierbei aber auch an den bei COPD im Mittel sehr viel kürzeren
T1-Zeiten bei Raumluft. Die aufgrund emphysematischer Veränderung noch
zusätzlich reduzierte Protonendichte im Parenchym kranker Lungen macht diese
Messungen allerdings besonders schwierig.
Die oben erwähnten Optimierungen der T1-Quantifizierung zielen daher auch
darauf ab, das Signal aus der Lunge zu maximieren, um Patientenmessungen
einfacher zu machen: Messungen in freier Atmung sind für Patienten nicht nur
einfacher, sondern erlauben effektiv auch längere Messzeiten. Insbesondere
wurde aber durch die Entwicklung einer radialen Methode die Echozeit zur
Messung reduziert, um die kurze T2*-Zeit in der Lunge auszugleichen.
Schließlich wurde durch Implementation einer 2D UTE Sequenz die Messung bei
der kürzesten vom Scanner erlaubten Echozeit ermöglicht.
Die Messungen bei ultrakurzen Echozeiten in Probanden zeigten allerdings
deutlich kürzere T1-Zeiten als die zuvor gefundenen oder in der Literatur
dokumentierten. In weiteren Experimenten wurde das sichtbare T1 zu mehreren
Echozeiten mit Hilfe der zur kombinierten Quantifizierung entwickelten
Methode bestimmt. Dabei ergab sich eine Zunahme des gemessenen T1 mit der
Echozeit. Aus diesem Verhalten sowie den gefundenen kürzesten und längsten T1
lässt sich schließen, dass das intra- und extravaskuläre Lungenwasser, also
Blut bzw. das umgebende Gewebe, mit unterschiedlichen T1- und T2*-Zeiten zum
Signal und damit auch dem effektiven T1 beitragen.
Dass das TE der Messung die Gewichtung dieser Kompartimente bestimmt, hat
dabei mehrere Auswirkungen: Einerseits bedeutet dies, dass beim Vergleich von
T1-Messungen in der Lunge stets auch das TE mitbetrachtet werden muss, bei
dem diese durchgeführt wurden. Andererseits lässt sich die Möglichkeit, die
Messung auf die unterschiedlichen Kompartimente abzustimmen, potentiell
ausnutzen, um zusätzliche diagnostische Informationen zu gewinnen: Da T1 vom
Blutvolumenanteil und der Gewebezusammensetzung abhängt, könnte dieser Effekt
helfen, diese beiden Einflüsse zu differenzieren.
Während die in dieser Arbeit beschriebenen Experimente die TE-Abhängigkeit
des sichtbaren T1 in Probanden aufzeigen, liefern sie allerdings noch keine
genaue Erklärung für die möglichen Ursprünge dieses Effekts. Um diese weiter
zu untersuchen, könnten allerdings gezielte Phantom- und in vivo-Experimente
Aufschluss geben: Ein Aufbau, der die Feldverzerrung durch luftgefüllte
Alveolen in Lösungen mit entsprechenden verschiedenen Suszeptibilitäten
nachbildet, reduziert den Unterschied zwischen den Kompartimenten auf T1 und
χ. Eine in vivo-Messung mit möglichst großer Differenz zwischen Ex- und
Inspiration hingegen könnte den Einfluss der Abstände der Kompartimente vom
Gasraum aufzeigen, da die Alveolarwände in tiefer Inspiration am weitesten
gedehnt und daher am dünnsten sind.
Das Ziel dieser Arbeit ist neben der Synthese von Sol-Gel-Funktionsschichten auf der Basis von
transparent leitfähigen Oxiden (transparent conducting oxides, TCOs) die umfassende infrarotoptische und elektrische Charakterisierung sowie Modellierung dieser Schichten. Es wurden sowohl über klassische Sol-Gel-Prozesse als auch über redispergierte Nanopartikel-Sole spektralselektive Funktionsschichten auf Glas- und Polycarbonat-Substraten appliziert, die einen möglichst hohen Reflexionsgrad im infraroten Spektralbereich und damit einhergehend einen möglichst geringen Gesamtemissionsgrad sowie einen niedrigen elektrischen Flächenwiderstand aufweisen. Zu diesem Zweck wurden dotierte Metalloxide, nämlich einerseits Zinn-dotiertes Indiumoxid (tin doped indium oxide, ITO) und andererseits Aluminium-dotiertes Zinkoxid (aluminum doped zinc oxide, AZO)verwendet. Im Rahmen dieser Arbeit wurden vertieft verschiedene Parameter untersucht, die bei der Präparation von niedrigemittierenden ITO- und AZO-Funktionsschichten im Hinblick auf die Optimierung ihrer infrarot-optischen und elektrischen Eigenschaften sowie ihrer Transmission im sichtbaren Spektralbereich von Bedeutung sind.
Neben der Sol-Zusammensetzung von klassischen Sol-Gel-ITO-Beschichtungslösungen wurden auch
die Beschichtungs- und Ausheizparameter bei der Herstellung von klassischen Sol-Gel-ITO- sowie
-AZO-Funktionsschichten charakterisiert und optimiert. Bei den klassischen Sol-Gel- ITO-Funktionsschichten konnte als ein wesentliches Ergebnis der Arbeit der Gesamtemissionsgrad um 0.18 auf 0.17, bei in etwa gleichbleibenden visuellen Transmissionsgraden und elektrischen Flächenwiderständen, reduziert werden, wenn anstelle von (optimierten) Mehrfach-Beschichtungen Einfach-Beschichtungen mit einer schnelleren Ziehgeschwindigkeit anhand des Dip-Coating-Verfahrens hergestellt wurden. Mit einer klassischen Sol-Gel-ITO-Einfach-Beschichtung, die mit einer deutlich erhöhten Ziehgeschwindigkeit von 600 mm/min gedippt wurde, konnte mit einem Wert von 0.17 der kleinste Gesamtemissionsgrad dieser Arbeit erzielt werden.
Die Gesamtemissionsgrade und elektrischen Flächenwiderstände von klassischen Sol-Gel-AZOFunktionsschichten konnten mit dem in dieser Arbeit optimierten Endheizprozess deutlich gesenkt werden. Bei Neunfach-AZO-Beschichtungen konnten der Gesamtemissionsgrad um 0.34 auf 0.50 und der elektrische Flächenwiderstand um knapp 89 % auf 65 Ω/sq verringert werden. Anhand von Hall-Messungen konnte darüber hinaus nachgewiesen werden, dass mit dem optimierten Endheizprozess, der eine erhöhte Temperatur während der Reduzierung der Schichten aufweist, mit N = 4.3·1019 cm-3 eine etwa doppelt so hohe Ladungsträgerdichte und mit µ = 18.7 cm2/Vs eine etwa drei Mal so große Beweglichkeit in den Schichten generiert wurden, im Vergleich zu jenen Schichten, die nach dem alten Endheizprozess ausgehärtet wurden. Das deutet darauf hin, dass bei dem optimierten Heizschema sowohl mehr Sauerstofffehlstellen und damit eine höhere Ladungsträgerdichte als auch Funktionsschichten mit einem höheren Kristallisationsgrad und damit einhergehend einer höheren Beweglichkeit ausgebildet werden.
Ein Großteil der vorliegenden Arbeit behandelt die Optimierung und Charakterisierung von ITO-Nanopartikel-Solen bzw. -Funktionsschichten. Neben den verwendeten Nanopartikeln, dem
Dispergierungsprozess, der Beschichtungsart sowie der jeweiligen Beschichtungsparameter und der
Nachbehandlung der Funktionsschichten, wurde erstmals in einer ausführlichen Parameterstudie die
Sol-Zusammensetzung im Hinblick auf die Optimierung der infrarot-optischen und elektrischen
Eigenschaften der applizierten Funktionsschichten untersucht. Dabei wurde insbesondere der Einfluss der verwendeten Stabilisatoren sowie der verwendeten Lösungsmittel auf die Schichteigenschaften charakterisiert. Im Rahmen dieser Arbeit wird dargelegt, dass die exakte Zusammensetzung der Nanopartikel-Sole einen große Rolle spielt und die Wahl des verwendeten Lösungsmittels im Sol einen größeren Einfluss auf den Gesamtemissionsgrad und die elektrischen Flächenwiderstände der applizierten Schichten hat als die Wahl des verwendeten Stabilisators. Allerdings wird auch gezeigt, dass keine pauschalen Aussagen darüber getroffen werden können, welcher Stabilisator oder welches Lösungsmittel in den Nanopartikel-Solen zu Funktionsschichten mit kleinen Gesamtemissionsgraden und elektrischen Flächenwiderständen führt. Stattdessen muss jede einzelne Kombination von verwendetem Stabilisator und Lösungsmittel empirisch getestet werden, da jede Kombination zu Funktionsschichten mit anderen Eigenschaften führt.
Zudem konnte im Rahmen dieser Arbeit erstmals stabile AZO-Nanopartikel-Sole über verschiedene Rezepte hergestellt werden.
Neben der Optimierung und Charakterisierung von ITO- und AZO- klassischen Sol-Gel- sowie Nanopartikel-Solen und -Funktionsschichten wurden auch die infrarot-optischen Eigenschaften dieser Schichten modelliert, um die optischen Konstanten sowie die Schichtdicken zu bestimmen. Darüber hinaus wurden auch kommerziell erhältliche, gesputterte ITO- und AZO-Funktionsschichten modelliert. Die Reflexionsgrade dieser drei Funktionsschicht-Typen wurden einerseits ausschließlich mit dem Drude-Modell anhand eines selbstgeschriebenen Programmes in Sage modelliert, und andererseits mit einem komplexeren Fit-Modell, welches in der kommerziellen Software SCOUT aus dem erweiterten Drude-Modell, einem Kim-Oszillator sowie dem OJL-Modell aufgebaut wurde. In diesem Fit-Modell werden auch die Einflüsse der Glas-Substrate auf die Reflexionsgrade der applizierten Funktionsschichten berücksichtigt und es können die optischen Konstanten sowie die Dicken der Schichten ermittelt werden. Darüber hinaus wurde im Rahmen dieser Arbeit ein Ellipsometer installiert und geeignete Fit-Modelle entwickelt, anhand derer die Ellipsometer-Messungen ausgewertet und die optischen Konstanten sowie Schichtdicken der präparierten Schichten bestimmt werden können.
Gegenstand der vorliegenden Arbeit ist die Synthese, Charakterisierung und Optimierung von Kohlenstoff-Aerogelen (C-Aerogele) für den Einsatz als Hochtemperaturwärmedämmung (> 1000°C). C-Aerogele sind offenporöse monolithische Festkörper, die durch Pyrolyse von organischen Aerogelen entstehen. Die Synthese dieser organischen Vorstufen erfolgt über das Sol-Gel-Verfahren. Zur Charakterisierung der Morphologie wurde die innere Struktur der Aerogele mittels Raster- und Transmissionselektronenmikroskopie, Röntgendiffraktometrie (XRD), Raman-Spektroskopie, Stickstoffsorption und Röntgenkleinwinkelstreuung (SAXS) untersucht. Die thermischen Eigenschaften der Aerogele wurden mit Hilfe von Laser-Flash Messungen, dynamischer Differenzkalorimetrie (DSC), thermographischen und infrarot-optischen (IR) Messungen quantifiziert. Die innere Struktur von Aerogelen besteht aus einem dreidimensionalen Gerüst von Primärpartikeln, die während der Sol-Gel Synthese ohne jede Ordnung aneinander wachsen. Die zwischen den Partikeln befindlichen Hohlräume bilden die Poren. Die mittlere Partikel- und Porengröße eines Aerogels kann durch die Konzentration der Ausgangslösung und der Katalysatorkonzentration einerseits und durch die Synthesetemperatur und –dauer andererseits eingestellt werden. Der Bereich der mittleren Partikel- und Porengröße, der in dieser Arbeit synthetisierten Aerogele, erstreckt sich von einigen 10 Nanometern bis zu einigen Mikrometern. Die Dichten der Proben wurden im Bereich von 225 kg/m3 bis 635 kg/m3 variiert. Die Auswirkungen der Pyrolysetemperatur auf die Struktur und die thermischen Eigenschaften der C-Aerogele wurden anhand einer Probenserie erstmalig systematisch untersucht. Die Proben wurden dazu bei Temperaturen von 800°C bis 2500°C pyrolysiert bzw. temperaturbehandelt (geglüht). Um die einzelnen Beiträge zur Wärmeleitfähigkeit trennen und minimieren zu können, wurden die synthetisierten Aerogele thermisch mit mehreren Meßmethoden unter unterschiedlichen Bedingungen charakterisiert. Temperaturabhängige Messungen der spezifischen Wärmekapazität cp im Bereich von 32°C bis 1500°C ergaben für C-Aerogele verglichen mit den Literaturdaten von Graphit einen ähnlichen Verlauf. Allerdings steigt cp etwas schneller mit der Temperatur an, was auf eine „weichere“ Struktur hindeutet. Die maximale Abweichung beträgt etwa 11%. Messungen an einer Serie morphologisch identischer Aerogelproben, die im Temperaturbereich zwischen 800°C und 2500°C pyrolysiert bzw. geglüht wurden, ergeben eine Zunahme der Festkörperwärmeleitfähigkeit mit der Behandlungstemperatur um etwa einen Faktor 8. Stickstoffsorptions-, XRD-, Raman- und SAXS-Messungen an diesen Proben zeigen, dass dieser Effekt wesentlich durch das Wachstum der graphitischen Bereiche (Mikrokristallite) innerhalb der Primärpartikel des Aerogels bestimmt wird. Berechnungen auf Basis von Messungen der Temperaturleitfähigkeit weisen außerdem auch auf Veränderungen der Mikrokristallite hin. Gasdruckabhängige Messungen der Wärmeleitfähigkeit und der Vergleich zwischen Messungen unter Vakuum und unter Normaldruck an verschiedenen Aerogelmorphologien liefern Aussagen über den Gasanteil der Wärmeleitfähigkeit. Dabei zeigt sich, dass sich der Gasanteil der Wärmeleitfähigkeit in den Poren des Aerogels verglichen mit dem freien Gas durch die geeignete mittlere Porengröße erwartungsgemäß erheblich verringern lässt. Diese Ergebnisse stimmen in Rahmen der Messunsicherheit mit der Theorie überein. Durch infrarot-optische Messungen an C-Aerogelen konnte der Extinktionskoeffizient bestimmt und daraus der entsprechende Beitrag der Wärmestrahlung zur Wärmeleitfähigkeit berechnet werden. Temperaturabhängige Messungen der thermischen Diffusivität erlaubten mit der zur Verfügung stehenden Laser-Flash Apparatur die Bestimmung der Wärmeleitfähigkeit bis zu Temperaturen von 1500°C. Die Temperaturabhängigkeit der Wärmeleitfähigkeit der C-Aerogele zeigt eine Charakteristik, die mit den separat gemessenen bzw. berechneten Beiträgen zur Wärmeleitfähigkeit und der Theorie im Rahmen der Messunsicherheit gut übereinstimmen. Auf der Basis der gewonnenen Messdaten ist es möglich, die Wärmeleitfähigkeit von Aerogelen für Anwendungen über die maximale Messtemperatur von 1500°C durch Extrapolation vorherzusagen. Die niedrigste Wärmeleitfähigkeit der im Rahmen dieser Arbeit synthetisierten C-Aerogele beträgt danach etwa 0,17 W/(m•K) bei 2500°C unter Argonatmosphäre. Kommerziell erhältliche Hochtemperatur-Wärmedämmstoffe, wie z. B. Kohlefaserfilze oder Kohlenstoffschäume weisen Wärmeleitfähigkeiten im Bereich von etwa 0,7 bis 0,9 W/(m•K) bei einer Temperatur von 2000°C auf. Die Messungen zeigen, dass die vergleichsweise niedrigen Wärmeleitfähigkeiten von C-Aerogelen bei hohen Temperaturen durch die Unterdrückung des Gas- und Strahlungsbeitrags der Wärmeleitfähigkeit bedingt sind.
Semiconductor Quantum Dots (QDs) have been attracting immense interest over the last decade from both basic and application-orientated research because of their envisioned use as fundamental building blocks in non-classical device architectures. Their presumable ease of integration into existing semiconductor technology has bought them the reputation of being cost-efficiently scalable and renders them a place among the top candidates in a wide range of proposed quantum logic and quantum information processing schemes. These include the highly acclaimed use of QD as triggered sources of single pairs of entangled photons, which is a key ingredient of most of the intensivly investigated optical quantum cryptography operations. A big obstacle towards these goals are the pronounced asymmetries that are intrinsically present in all currently availabe semiconductor QD systems. They are a natural by-product that stems from the employed self-assembled growth methods and manifest in various forms such as shape-asymmetry, inhomogeneous strain distribution within the QD and concomittant piezo-elecric fields. These asymmetries in return give rise to distinct anisotropies in the optical properties of QDs, which in fact render their optical response classic. For device oriented research these anisotropies are therefore typically considered unwanted and actively researched to be controlled. They are, however, interesting from a fundamental point of view, as anisotropic QDs basically provide a testbed system for fundamental atom-like quantum physics with non-centrosymmetric potentials. As shall be shown in the current work, this gives rise to novel and interesting physics in its own right. Employing photoluminescence spectroscopy (PL) we investigate the optical anisotropy of the radiative recombination of excitons confined to CdSe/ZnSe QDs. This is done by angle-dependent polarization-resolved PL. We demonstrate experimentally that the electron-hole exchange interaction in asymmetric QDs gives rise to an effective conversion of the optical polarization from linear to circular and vice versa. The experiment is succesfully modeled in the frame of an exciton pseudospin-formalism that is based on the exchange induced finestructure splitting of the radiative excitonic states and unambiguously proves that the observed polarization conversion is the continuous-wave equivalent to quantum beats between the exchange split states in the time domain. These results indicate that QDs may offer extended functionality beyond non-classical light sources in highly integrated all-optical device schemes, such as polarization converters or modulators. In a further extension we apply the exciton pseudospin-formalism to optical alignment studies and demonstrate how these can be used to directly measure the otherwise hidden symmetry distribution over an ensemble of QDs. This kind of measurement may be used on future optical studies in order to link optical data more directly to structural investigations, as it yields valuable information on capped QDs that cannot be looked at directly by topological methods. In the last part of this work we study the influence of an in-plane magnetic field on the optical anisotropy. We find that the optical axis of the linear polarization component of the photoluminescence signal either rotates in the opposite direction to that of the magnetic field or remains fixed to a given crystalline direction. A qualitative theoretical analysis based on the exciton pseudospin Hamiltonian unambiguously demonstrates that these effects are induced by isotropic and anisotropic contributions to the heavy-hole Zeeman term, respectively. The latter is shown to be compensated by a built-in uniaxial anisotropy in a magnetic field B=0.4 T, resulting in an optical response that would be expected for highly symmetric QDs. For a comprehensive quantitative analysis the full heavy-hole exciton k.p-Hamiltonian is numerically calculated and the resulting optical polarization is modeled. The model is able to quantitatively describe all experimental results using a single set of parameters. From this model it is explicitly seen that a optical response characteristic for high symmetry QDs may be obtained from an ensemble of asymmetric QDs without a crossing of the zero-field bright exciton states, which was required for application of QDs in non-classical light sources. It is clearly demonstrated that any scheme using in-plane magnetic fields to symmetrize the optical response has to take into account at least four optically active states instead of the two observed in the absence of magnetic fields. These findings may explain some of the major disagreement on recent entanglement studies in asymmetric QDs, as models that do not take the above result into account cannot be a priori expected to provide reliable results on excitonic Bell states.
Das Dephasierungsverhalten und die daraus resultierende Relaxation der Magnetisierung sind Grundlage aller auf der Kernspinresonanz basierenden bildgebenden Verfahren. Das erhaltene Signalder präzedierenden Protonen wird wesentlich von den Eigenschaften des untersuchten Gewebes bestimmt. Insbesondere die durch magnetisierte Stoffe wie z. B. desoxygeniertes Blut (BOLD-Effekt) oder magnetische Nanopartikel erzeugten Suszeptibilitätssprünge gewinnen zunehmend Bedeutung in der biomedizinischen Bildgebung. In der vorliegenden Arbeit wurden die Einflüsse von Feldinhomogenitäten auf das NMR-Signal untersucht.
Background:
Inhibition of early platelet adhesion by blockade of glycoprotein-IB (GPIb) protects mice from ischemic stroke. To elucidate underlying mechanisms in-vivo, infarct development was followed by ultra-high field MRI at 17.6 Tesla.
Methods:
Cerebral infarction was induced by transient-middle-cerebral-artery-occlusion (tMCAO) for 1 hour in C57/BL6 control mice (N = 10) and mice treated with 100 mg Fab-fragments of the GPIb blocking antibody p0p/B 1 h after tMCAO (N = 10). To control for the effect of reperfusion, additional mice underwent permanent occlusion and received anti-GPIb treatment (N = 6; pMCAO) or remained without treatment (N = 3; pMCAO). MRI 2 h and 24 h after MCAO measured cerebral-blood-flow (CBF) by continuous arterial-spin labelling, the apparent-diffusion-coefficient (ADC), quantitative-T2 and T2-weighted imaging. All images were registered to a standard mouse brain MRI atlas and statistically analysed voxel-wise, and by cortico-subcortical ROI analysis.
Results:
Anti-GPIb treatment led to a relative increase of postischemic CBF vs. controls in the cortical territory of the MCA (2 h: 44.2 +/- 6.9 ml/100g/min versus 24 h: 60.5 +/- 8.4; p = 0.0012, F((1,18)) = 14.63) after tMCAO. Subcortical CBF 2 h after tMCAO was higher in anti-GPIb treated animals (45.3 +/- 5.9 vs. controls: 33.6 +/- 4.3; p = 0.04). In both regions, CBF findings were clearly related to a lower probability of infarction (Cortex/Subcortex of treated group: 35%/65% vs. controls: 95%/100%) and improved quantitative-T2 and ADC. After pMCAO, anti-GPIb treated mice developed similar infarcts preceded by severe irreversible hypoperfusion as controls after tMCAO indicating dependency of stroke protection on reperfusion.
Conclusion:
Blockade of platelet adhesion by anti-GPIb-Fab-fragments results in substantially improved CBF early during reperfusion. This finding was in exact spatial correspondence with the prevention of cerebral infarction and indicates in-vivo an increased patency of the microcirculation. Thus, progression of infarction during early ischemia and reperfusion can be mitigated by anti-platelet treatment.
The surface sublimation of Cd and Te atoms from the zinc blende (111)A CdTe surface has been investigated in detail by reflection high energy electron diffraction and x-ray photoelectron spectroscopy. These experiments verify that Te is much easier to evaporate than Cd. The experimental value for the Te activation energy from a Te stabilized (111)A CdTe surface is 1.41 ±0.1O eV, which is apparently inconsistent with recent theoretical results.
The role of elastic interactions, particularly for the self-organized formation of periodically faceted interfaces, was investigated in this thesis for archetype organic-metal interfaces. The cantilever bending technique was applied to study the change of surface stress upon formation of the interface between 3,4,9,10-perylene-tetracarboxylic-dianhydride (PTCDA) and Ag(111). This system is known to form a chemisorptive bonding. Indeed, the sign and the coverage-dependence of the surface stress change are in agreement to models and previous measurements of chemisorptive systems in literature. While the adsorption of molecules into the large domains is associated with a negative, i.e. compressive stress change, the formation of domain boundaries in the molecular layer induces a stress change of opposite sign, increasing the surface stress. The magnitude of the surface stress change of (-0.30 +- 0.10} N/m reflects a relatively weak binding of a PTCDA molecule to each individual single silver atom. It is emphasized, however, that if normalized to the surface stress change per molecule, this value corresponds to a stress change of (-2.2 +- 0.2) eV per molecule which is in the order of the suspected binding energy of this system. Therefore, these experiments reveal elastic interactions to be of significant order of magnitude for this system class. Thereby, they add a new point of view to the understanding of these interfaces. Besides, since the results are in agreement with the well-known properties of this interface, they establish the cantilever bending technique in the field of organic-metal interfaces. The mere existence of a bending of the sample implies an interesting detail for the PTCDA/Ag(111) interface in particular. It is the first experimental evidence for a structural change in the topmost substrate layers upon adsorption of PTCDA on Ag(111). Since such a modification has significant implications for the interpretation of other experimental results, a further investigation with more quantitative structural methods appears necessary. The main focus of this work, however, was on the investigation of the formation of the long-range ordered, self-organized faceted PTCDA/Ag(10 8 7) interface. Reciprocal space maps of this interface were recorded both by spot profile analysis low energy electron diffraction (SPA-LEED) and low energy electron microscopy (LEEM) in selected area LEED mode. Complementary to the reciprocal data, also microscopic real-space LEEM data were used to characterize the morphology of this interface. Six different facet faces ((111), (532), (743), (954), (13 9 5), and (542)) were observed for the preparation path of molecular adsorption on the substrate kept at 550 K. Facet-sensitive dark-field LEEM localized these facets to grow in homogeneous areas of microscopic extensions. If the pristine mesoscopic orientation locally deviates from the average orientation, e.g. in pristine step density, locally different facet types are formed, distorting the otherwise regular mesoscopic pattern. Hence, the original mesoscopic orientation of the substrate strongly determines the degree of order of the faceted surface and the facet species formed. The temperature-dependence of the interface formation was studied in a range between 418 K and 612 K in order to learn more about the kinetics of the process. Additional steeper facets of 27° inclination with respect to the (111) surface were observed in the low temperature regime. Furthermore, using facet-sensitive dark-field LEEM, spatial and size distributions of specific facets were studied for the different temperatures. The nucleation density of the facets did not depend on temperature and can therefore be concluded not to be limited by diffusion. Moreover, the facet dimensions were statistically analyzed. The total island size of the facets follows an exponential distribution, indicating a random growth mode in absence of any mutual facet interactions. While the length distribution of the facets also follows an exponential distribution, the width distribution is peaked, reflecting the high degree of lateral order. This anisotropy is temperature-dependent and occurs starting above 478 K substrate temperature during growth. The peaked distribution indicates the presence of a long-range interaction which leads to the structural order of the self-organized grating. The origin of this long-range interaction was investigated combining three complementary in-situ methods, all providing new insights into the formation of faceted organic-metal interfaces: the cantilever bending technique, high-resolution low energy electron diffraction (SPA-LEED), and microscopy (LEEM). The cantilever bending technique was applied for the first time to a faceting system at all. Below the faceting transition temperature the surface stress change associated with the formation of the PTCDA/Ag(10 8 7) interface resembles in shape and magnitude the one observed for the reference interface PTCDA/Ag(111). But above the transition temperature the absolute surface stress change of (-0.67 +- 0.10) N/m observed for the faceted PTCDA/Ag(10 8 7) interface is considerably larger than for the previous cases. Moreover, the stress change happens in distinguishable stages with a clearly resolvable fine structure of regimes of positive and negative stress changes. These different regimes of surface stress change can be correlated to different stages of the structural phase transition observed by the structural in-situ methods. Thereby, morphological objects (i.e. the facets) are assigned to a specific stress character. Thus, domains of different stress character can be identified on the surface. These stress domains are the prerequisite to apply continuum descriptions of the self-ordering process based on elastic interactions. Hence, the results are the first experimental verification that these continuum descriptions are indeed also applicable to the whole system class of faceting organic-metal interfaces. In conclusion, the results provide strong evidence for elastic interactions being the physical origin of long-range order for this system. In addition, the clear correlation of structural phase transition and surface stress change regimes suggests surface stress to play also an important role for the kinetics of the system. Indeed, the system seems to try to limit the overall stress change during the interface formation by forming facets of positive and negative stress character. Hence, the selection of specific facets could depend on the corresponding stress character. Furthermore, the system seems willing to re-facet at high coverages in order to prevent imperfect domain boundaries which are associated with an increase of surface stress. Finally, template-assisted growth of lateral, heterorganic nanostructures has been explored. Therefore, self-assembled monolayers as a second archetype class of molecules were grown on partially covered PTCDA/Ag(10 8 7) interfaces. Indeed, using standard surface science techniques, the basic principle of this growth scheme was confirmed to be successful.
The motivation for this work has been contributing a step to the advancement of technology. A next leap in technology would be the realization of a scalable quantum computer. One potential route is via topological quantum computing. A profound understanding of topological materials is thus essential. My work contributes by the investigation of the exemplary topological material HgTe. The focus lies on the understanding of the topological surface states (TSS) and new possibilities to manipulate them appropriately. Traditionally top gate electrodes are used to adjust the carrier density in such semi-conductor materials. We found that the electric field of the top gate can further alter the properties of the HgTe layer. The formation of additional massive Volkov-Pankratov states limits the accessibility of the TSS. The understanding of these states and their interplay with the TSS is necessary to appropriately design devices and to ensure their desired properties. Similarly, I observed the existence and stability of TSSs even without a bandgap in the bulk band structure in the inversion induced Dirac semi-metal phase of compressively strained HgTe. The finding of topological surface states in inversion-induced Dirac semi-metals provides a consistent and simple explanation for the observation reported for \(\text{Cd}_3\text{As}_2\).
These observations have only been possible due to the high quality of the MBE grown HgTe layers and the access of different phases of HgTe via strain engineering. As a starting point I performed Magneto-transport measurements on 67 nm thick tensilely strained HgTe layers grown on a CdTe substrate. We observed multiple transport channels in this three-dimensional topological insulator and successfully identified them. Not only do the expected topological surface states exist, but also additional massive surface states have been observed. These additional massive surface states are formed due to the electrical field applied at the top gate, which is routinely used to vary the carrier density in the HgTe layer. The additional massive surface states are called Volkov-Pankratov states after B. A. Volkov and O. A. Pankratov. They predicted the existence of similar massive surface states at the interface of materials with mutually inverted bands. We first found indications for such massive Volkov-Pankratov states in high-frequency compressibility measurements for very high electron densities in a fruitful collaboration with LPA in Paris. Magneto-transport measurements and \(k \cdot p\) calculations revealed that such Volkov-Pankratov states are also responsible for the observed whole transport. We also found indications for similar massive VPS in the electron regime, which coexist with the topological surface states. The topological surface states exist over the full investigated gate range including a regime of pure topological insulator transport. To increase the variability of the topological surface states we introduced a modulation doping layer in the buffer layer. This modulation doping layer also enabled us to separate and identify the top and bottom topological surface states.
We used the variability of the bulk band structure of HgTe with strain to engineer the band structure of choice using virtual substrates. The virtual substrates enable us to grow compressively strained HgTe layers that do not possess a bandgap, but instead linear crossing points. These layers are predicted to beDirac semi-metals. Indeed I observed also topological surface states and massive Volkov-Pankratov states in the compressively strained Dirac semi-metal phase. The observation of topological surfaces states also in the Dirac semi-metal phase has two consequences: First, it highlights that no bulk bandgap is necessary to observe topological surface states. Second, the observation of TSS also in the Dirac semi-metal phase emphasizes the importance of the underlying band inversion in this phase. I could not find any clear signatures of the predicted disjoint topological surface states, which are typically called Fermi-arcs. The presence of topological surface states and massive Volkov-Pankratov states offer a simple explanation for the observed quantum Hall effect and other two-dimensional transport phenomena in the class of inversion induced Dirac semi-metals, as \(\text{Cd}_3\text{As}_2\). This emphasizes the importance of the inherent bulk band inversion of different topological materials and provides a consistent and elegant explanation for the observed phenomena in these materials. Additionally, it offers a route to design further experiments, devices, and thus the foundation for the induction of superconductivity and thus topological quantum computing.
Another possible path towards quantum computing has been proposed based on the chiral anomaly. The chiral anomaly is an apparent transport anomaly that manifests itself as an additional magnetic field-driven current in three-dimensional topological semimetals with a linear crossing point in their bulk band structure. I observed the chiral anomaly in compressively strained HgTe samples and performed multiple control experiments to identify the observed reduction of the magnetoresistance with the chiral anomaly. First, the dependence of the so-called negative magnetoresistance on the angle and strength of the magnetic field has been shown to fit the expectation for the chiral anomaly. Second, extrinsic effects as scattering could be excluded as a source for the observed negative MR using samples with different mobilities and thus impurity concentrations. Third, the necessity of the linear crossing point has been shown by shifting the electrochemical potential away from the linear crossing points, which diminished the negative magnetoresistance. Fourth, I could not observe a negative magnetoresistance in the three-dimensional topological insulator phase of HgTe. These observations together prove the existence of the chiral anomaly and verify compressively strained HgTe as Dirac semi-metal. Surprisingly, the chiral anomaly is also present in unstrained HgTe samples, which constitute a semi-metal with a quadratic band touching point. This observation reveals the relevance of the Zeeman effect for the chiral anomaly due to the lifting of the spin-degeneracy in these samples. Additionally to the chiral anomaly, the Dirac semi-metal phase of compressively strained HgTe showed other interesting effects. For low magnetic fields, a strong weak-antilocalization has been observed. Such a strong weak-anti-localization correction in a three-dimensional layer is surprising and interesting. Additionally, non-trivial magnetic field strength and direction dependencies have been observed. These include a strong positive magnetoresistance for high magnetic fields, which could indicate a metal-insulator transition. On a more device-oriented note, the semi-metal phase of unstrained HgTe constitutes the lower limit of the by strain engineering adjustable minimal carrier density of the topological surface states and thus of very high mobility.
To sum up, topological surface states have been observed in the three-dimensional topological insulator phase and the Dirac semi-metal phase of HgTe. The existence and accessibility of topological surface states are thus independent of the existence of a bandgap in the bulk band structure. The topological surface states can be accompanied by massive Volkov-Pankratov states. These VPS are created by electric fields, which are routinely applied to adjust the carrier density in semiconductor devices. The theoretical predicted chiral anomaly has been observed in the Dirac semi-metal phase of HgTe. In contrast to theoretical predictions, no indications for the Fermi-arc called disjoint surface states have been observed, but instead the topological and massive Volkov-Pankratov surface states have been found. These states are thus expected for all inversion-induced topological materials.
Surface systems attract great scientific attention due to novel and exotic properties. The atomically structured surfaces lead to a reduced dimensionality which alters electronic correlations, vibrational properties, and their impact on each other. The emerging physical phenomena are not observed for related bulk materials. In this thesis, ordered (sub)monolayers of metal atoms (Au and Sn) on semiconductor substrates (Si(111) and Ge(111)) and ultrathin intermetallic films (CePt5 and LaPt5) on metal substrate (Pt(111)) are investigated by polarized in situ surface Raman spectroscopy. The surface Raman spectra exhibit features of specific elementary excitations like surface phonons and electronic excitations, which are suitable to gain fundamental insights into the surface systems.
The Au-induced surface reconstructions (5x2) and (r3xr3) constitute quasi-one- and two-dimensional Au structures on the Si(111) substrate, respectively. The new reconstruction-related Raman peaks are analyzed with respect to their polarization and temperature behavior. The Raman results are combined with firstprinciples calculations to decide between different proposed structural models. The Au-(5x2)/Si(111) reconstruction is best described by the model of Kwon and Kang, while for Au-(r3xr3)/Si(111) the conjugate honeycomb-chained-trimer model is favored. The Sn-induced reconstructions with 1/3 monolayer on Ge(111) and Si(111) are investigated to reveal their extraordinary temperature behavior. Specific surface phonon modes are identified that are predicted within the dynamical fluctuation model. Contrary to Sn/Si(111), the corresponding vibrational mode of Sn/Ge(111) exhibits a nearly harmonic character. The reversible structural phase transition of Sn/Ge(111) from (r3xr3) to (3x3) is observed, while no phase transition is apparent for Sn/Si(111). Moreover, Raman spectra of the closely related systems Sn-(2r3x2r3)/Si(111) and thin films of a-Sn as well as the clean semiconductor surfaces Si(111)-(7x7) and Ge(111)-c(2x8) are evaluated and compared.
The CePt5/Pt(111) system hosts 4f electrons whose energy levels are modified by the crystal field and are relevant for a description of the observed Kondo physics. In contrast, isostructural LaPt5/Pt(111) has no 4f electrons. For CePt5/Pt(111), distinct Raman features due to electronic Raman scattering can be unambiguously related to transitions between the crystal-field states which are depth-dependent. This assignment is supported by comparison to LaPt5/Pt(111) and group theoretical considerations. Furthermore, the vibrational properties of CePt5 and LaPt5 reveal interesting similarities but also striking differences like an unusual temperature shift of a vibration mode of CePt5, which is related to the influence of 4f electrons.
The present thesis deals with surface treatment, material improvement, and the electronic structure of the diluted magnetic semiconductor (Ga,Mn)As. The two key issues are the preparation of clean surfaces and the observation of potential valence hybridizations in (Ga,Mn)As by means of photoemission spectroscopy. Several cleaning methods are applied individually to (Ga,Mn)As and their e ects are compared in detail by various methods. Based on the results of each method, a sophisticated recipe has been elaborated, which provides clean, stoichiometric, and reconstructed surfaces, even if the sample was exposed to air prior to preparation. Moreover, the recipe works equally well for intentionally oxidized surfaces. The individual advantages of ex-situ wet- chemical etching and in situ ion-milling and tempering can be combined in an unique way. In regard to the post-growth annealing in order to optimize the electronic and magnetic properties of (Ga,Mn)As, the effect of surface segregation of interstitial Mn was quantifed. It turns out that the Mn concentration at the surface increases by a factor 4.3 after annealing at 190 C for 150 h. The removal of the segregated and oxidized species by wet-chemical etching allows a tentative estimate of the content of interstitial Mn. 19-23% of the overall Mn content in as-grown samples resides on interstitial positions. The complementary results of core level photoemission spectroscopy and resonant photoemission spectroscopy give hints to the fact that a sizeable valence hybridization of Mn is present in (Ga,Mn)As. This outlines that the simple Mn 3d5-con guration is too naive to refect the true electronic structure of substitutional Mn in (Ga,Mn)As. Great similarities in the core level spectra are found to MnAs. The bonding is thus dominantly of covalent, not ionic, character. Transport measurements, in particular for very low temperatures (<10 K), are in agreement with previous results. This shows that at low temperature, the conduction is mainly governed by variable-range hopping which is in line with the presence of an impurity band formed by substitutional Mn. In the light of the presented results, it is therefore concluded that a double-exchange interaction is the dominant mechanism leading to ferromagnetic coupling in (Ga,Mn)As. The valence hybridization and the presents of an impurity band, both of which are inherent properties of substitutional Mn, are indications for a double-exchange scenario, being at variance to a RKKY-based explanation. Contributions from a RKKY-like mechanism cannot definitely be excluded, however, they are not dominant.
Transition metal oxides (TMO) represent a highly interesting material class as
they exhibit a variety of different emergent phenomena including multiferroicity and
superconductivity. These effects result from a significant interplay of charge, spin
and orbital degrees of freedom within the correlated d-electrons. Oxygen vacancies
(OV) at the surface of certain d0 TMO release free charge carriers and prompt the
formation of a two-dimensional electron gas (2DEG). Barium titanate (BaTiO3) is a
prototypical and promising d0 TMO. It displays ferroelectricity at room temperature
and features several structural phase transitions, from cubic over tetragonal (at
room temperature) and orthorhombic to rhombohedral. The spontaneous electric
polarization in BaTiO3 can be used to manipulate the physical properties of adjacent
materials, e.g. in thin films. Although the macroscopic properties of BaTiO3 are studied
in great detail, the microscopic electronic structure at the surface and interface of
BaTiO3 is not sufficiently understood yet due to the complex interplay of correlation
within the d states, oxygen vacancies at the surface, ferroelectricity in the bulk and
the structural phase transitions in BaTiO3.
This thesis investigates the electronic structure of different BaTiO3 systems by
means of angle-resolved photoelectron spectroscopy (ARPES). The valence band of
BaTiO3 single crystals is systematically characterized and compared to theoretical
band structure calculations. A finite p-d hybridization of titanium and oxygen states
was inferred at the high binding energy side of the valence band. In BaTiO3 thin films,
the occurrence of spectral weight near the Fermi level could be linked to a certain
amount of OV at the surface which effectively dopes the host system. By a systematic
study of the metallic surface states as a function of temperature and partial oxygen
pressure, a model was established which reflects the depletion and accumulation of
charge carriers at the surface of BaTiO3. An instability at T ~ 285K assumes a volatile
behavior of these surface states.
The ferroelectricity in BaTiO3 allows a control of the electronic structure at the interface
of BaTiO3-based heterostructures. Therefore, the interface electronic structure
of Bi/BaTiO3 was studied with respect to the strongly spin-orit coupled states in Bi by
also including a thickness dependent characterization. The ARPES results, indeed,
confirm the presence of Rashba spin-split electronic states in the bulk band gap of the ferroelectric substrate. By varying the film thickness in Bi/BaTiO3, it was able to modify
the energy position and the Fermi vector of the spin-split states. This observation
is associated with the appearance of an interface state which was observed for very
low film thickness. Both spectral findings suggest a significant coupling between the
Bi films and BaTiO3.
Masers as telecommunication amplifiers have been known for decades, yet their application is strongly limited due to extreme operating conditions requiring vacuum techniques and cryogenic temperatures. Recently, a new generation of masers has been invented based on optically pumped spin states in pentacene and diamond. In this study, we pave the way for masers based on spin S = 3/2 silicon vacancy (V\(_{Si}\)) defects in silicon carbide (SiC) to overcome the microwave generation threshold and discuss the advantages of this highly developed spin hosting material. To achieve population inversion, we optically pump the V\(_{Si}\) into their m\(_S\) = ±1/2 spin sub-states and additionally tune the Zeeman energy splitting by applying an external magnetic field. In this way, the prerequisites for stimulated emission by means of resonant microwaves in the 10 GHz range are fulfilled. On the way to realising a maser, we were able to systematically solve a series of subtasks that improved the underlying relevant physical parameters of the SiC samples. Among others, we investigated the pump efficiency as a function of the optical excitation wavelength and the angle between the magnetic field and the defect symmetry axis in order to boost the population inversion factor, a key figure of merit for the targeted microwave oscillator. Furthermore, we developed a high-Q sapphire microwave resonator (Q ≈ 10\(^4\)–10\(^5\)) with which we find superradiant stimulated microwave emission. In summary, SiC with optimized spin defect density and thus spin relaxation rates is well on its way of becoming a suitable maser gain material with wide-ranging applications.
Numerical simulations and an analytic approach based on transmission line theory are used to design splitters for nano-plasmonic signal processing that allow to arbitrarily adjust the ratio of transmission from an input into two different output arms. By adjusting the geometrical parameters of the structure, either a high bandwidth or a sharp transmission resonance is obtained. Switching between the two arms can be achieved by modulating the effective refractive index of the waveguide. Employing the instantaneous Kerr effect, switching rates in the THz regime are potentially feasible. The suggested devices are of interest for future applications in nanoplasmonic information processing.
The spatial uniformity of GaSb- and InAs substrate-based structures containing type II quantum wells was probed by means of large-scale photoluminescence (PL) mapping realized utilizing a Fourier transform infrared spectrometer. The active region was designed and grown in a form of a W-shaped structure with InAs and GaInSb layers for confinement of electrons and holes, respectively. The PL spectra were recorded over the entire 2-in. wafers, and the parameters extracted from each spectrum, such as PL peak energy position, its linewidth and integrated intensity, were collected in a form of two-dimensional spatial maps. Throughout the analysis of these maps, the wafers' homogeneity and precision of the growth procedure were investigated. A very small variation of PL peak energy over the wafer indicates InAs quantum well width fluctuation of only a fraction of a monolayer and hence extraordinary thickness accuracy, a conclusion further supported by high uniformity of both the emission intensity and PL linewidth.
This work consists of two parts. On the one hand, it describes simulation and
measurement of the effect of contaminations of the detector gas on the performance
of particle detectors, with special focus on Micromegas detectors. On the other
hand, it includes the setup of a production site for the finalization of drift panels
which are going to be used in the ATLAS NSW. The first part augments these
two parts to give an introduction into the theoretical foundations of gaseous particle
detectors.
In dieser Arbeit wurden zwei komplementäre Beugungsverfahren verwendet, um die geometrische Struktur von organischen Adsorbaten (NTCDA und verschiedenen Metall-Pcs) auf Ag(111) zu untersuchen: um die lateralen Strukturparameter zu messen wurde hochauflösende Beugung niederenergetischer Elektronen (SPALEED) verwendet. Die vertikalen Abstände der einzelnen atomaren Spezies von der Silberoberfläche wurden mit der Methode der Absorption in stehenden Röntgenwellenfeldern (XSW) bestimmt. Aus den Arbeiten von Kilian et al. [43, 42] ist bekannt, daß die relaxierte und komprimierte Monolage NTCDA/Ag(111) einen Ordnungs-Unordnungs-Phasenübergang beim Abkühlen besitzt. Dazu sollten zu Beginn dieser Arbeit stabile Parameter mithilfe von Kühlversuchen unter Beobachtung im LEED gefunden werden, um diesen Phasenübergang zu reproduzieren. Dies ist nicht gelungen. Es wurden aber die vertikalen Abstände der Kohlenstoff- und Sauerstoffatome der relaxierten Monolage zum Substrat mithilfe von XSW bestimmt. Diese bestätigen die Messungen von Stanzel et al. [88, 87], die aufgrund des geringen Abstandes auf Chemisorption schließen lassen. Darüberhinaus wurde die Methode von Stanzel et al. verfeinert, das Photoelektronensignal (O1s) und das Auger-Signal (OKLL) kohärent zu interpretieren. Dabei wurden sowohl die nichtdipolaren Parameter der Photoemission (O1s) als auch der Anteil der durch Sekundärelektronen induzierten Augerzerfälle (OKLL) berücksichtigt und iterativ angepasst. Im Fall von NTCDA ist es möglich, anhand der Peakstruktur der O1s-Photoelektronen die Anhydridsauerstoffe von den Carbonylsauerstoffen zu trennen. Diese wurden bei XSW als getrennte Detektionskanäle verwendet und zeigen für die relaxierte Monolagenstruktur von NTCDA/Ag(111) - ähnlich wie schon von Hauschild et al. für PTCDA/Ag(111) [29, 30] gemessen - daß die Carbonylsauerstoffe in den Ecken des NTCDA-Moleküls um ca. 0:10 näher am Substrat liegen als die Anhydridsauerstoffe in der Brückenposition. Solch detaillierten Messungen sind notwendig, um für die Vielzahl von verschiedenen theoretischen ab-initio Methoden und Näherungsrechnungen ein Maß für deren Genauigkeit bereitzustellen. Bei den relativ großen Einheitszellenund der deshalb hohen Anzahl von Elektronen im organischen Molekül und den darunterliegenden Silberatomen haben diese Methoden noch Schwierigkeiten in endlicher Zeit akkurate Ergebnisse zu liefern. Der Hauptteil der Arbeit beschäftigte sich mit der geometrischen Struktur von Metall-Phthalocyaninen auf Ag(111). Das Phasendiagramm der Submonolagenstrukturen von SnPc/Ag(111) besteht im wesentlichen aus drei Bereichen in Abhängigkeit der Bedeckung und der Temepratur: Bei Raumtemperatur liegt bei niedrigen Bedeckungen unterhalb von ca. 0.9ML eine gasförmige Phase vor. Zwischen 0.9ML und 1 ML treten inkommensurable Strukturen auf, deren geometrische Parameter mit der Bedeckung variieren. Bei beiden Phasen nimmt der intermolekulare Abstand kontinuierlich mit der Bedeckung ab. Zumindest bei den inkommensurablen Phasen ist das ein klarer Beweis für eine Repulsion zwischen den Molekülen. Bei tiefen Temperaturen (<45°C) gibt es in einem mittleren Bedeckungsbereich (0.5ML - 0.92ML) eine kommensurable Überstruktur mit zwei Molekülen pro Einheitszelle. Es ist sogar möglich, von der inkommensurablen Phase (0.9ML...0.92ML) durch Temperaturabsenkung zu dieser etwas dichter gepackten kommensurablen Phase zu gelangen - die Repulsion lässt sich also nur mit Hilfe einer Temperaturänderung in eine Attraktion zwischen den Molekülen umschalten. Aufgrund der Abstände der verschiedenen Spezies zum Silbersubstrat konnte die Orientierung der Moleküle zum Substrat in den verschiedenen Phasen gemessen werden. Sie deuten auf eine chemisorptive Anbindung der Moleküle. Interessanterweise liegen die Moleküle in der Monolage alle mit dem Sn-Atom zum Substrat, während das Sn-Atom in der kommensurablen Tieftemperaturphase alternierend zum Substrat hinund wegzeigt. Diese Messungen erlauben eine Begründung der Attraktion und Repulsion zwischen den Molekülen auf Basis eines Donations-Rückdonationsmodells der Bindung der Moleküle an das Substrat. Sie werden mit den Ergebnissen von CuPc/Ag(111) von Ingo Kröger verglichen [46]. Schließlich werden noch erste Messungen an TiOPc vorgestellt. Die Datenlage bei TiOPc ist noch weniger dicht, es zeigt aber ein ähnliches Verhalten. Der augenfälligste Unterschied zu SnPc ist wohl die stabile Bi-Lage im Fall des TiOPc/Ag(111), die sich nicht durch Tempern vollständig ablösen lässt - im Gegensatz zu SnPc/Ag(111). Diese ersten geometrischen Messungen stimulierten neben weiteren SPALEED und XSW Messungen [46, 85] eine Reihe weiterer Untersuchungen in der Gruppe wie UPS, Austrittsarbeitsänderungen und detaillierte XPS-Messungen an den Rumpfelektronen, die das Donations-Rückdonationsmodell und die Orientierung der Moleküle bestätigen [108, 71].
Diese Arbeit befasst sich mit der Untersuchung und Manipulation von Halbleitern, bei
denen die Spin-Bahn-Kopplung (SBK) in Kombination mit einem Bruch der strukturellen Inversionssymmetrie zu einer impulsabhängigen Spinaufspaltung der Bandstruktur führt. Von besonderem Interesse ist hierbei der Zusammenhang zwischen der spinabhängigen elektronischen Struktur und der strukturellen Geometrie. Dieser wird durch eine Kombination komplementärer, oberflächensensitiver Messmethoden - insbesondere Rastertunnelmikroskopie
(STM) und Photoelektronenspektroskopie (PES) - an geeigneten
Modellsystemen untersucht. Der experimentelle Fokus liegt dabei auf den polaren Halbleitern BiTeX (X =I, Br, Cl). Zusätzliche Experimente werden an dünnen Schichten der topologischen Isolatoren (TI) Bi1,1-xSb0;9+xSe3 (x = 0. . . 1,1) und Bi2Te2Se durchgeführt. Die inversionsasymmetrische Kristallstruktur in BiTeX führt zur Existenz zweier nicht-äquivalenter Oberflächen mit unterschiedlicher Terminierung (Te oder X) und invertierter atomarer Stapelfolge. STM-Aufnahmen der Oberflächen gespaltener Einkristalle belegen für BiTeI(0001) eine Koexistenz beider Terminierungen auf einer Längenskala von etwa 100 nm, die sich auf Stapelfehler im Kristallvolumen zurückführen lassen. Diese Domänen sind groß genug, um eine vollständig entwickelte Banddispersion auszubilden und erzeugen daher eine Kombination der Bandstrukturen beider Terminierungen bei räumlich integrierenden Messmethoden. BiTeBr(0001) und BiTeCl(0001) hingegen zeichnen sich durch homogene Terminierungen auf einer makroskopischen Längenskala aus. Atomar
aufgelöste STM-Messungen zeigen für die drei Systeme unterschiedliche Defektdichten der einzelnen Lagen sowie verschiedene strukturelle Beeinflussungen durch die Halogene. PES-Messungen belegen einen starken Einfluss der Terminierung auf verschiedene Eigenschaften der Oberflächen, insbesondere auf die elektronische Bandstruktur, die Austrittsarbeit sowie auf die Wechselwirkung mit Adsorbaten. Die unterschiedliche Elektronegativität der Halogene resultiert in verschieden starken Ladungsübergängen innerhalb der kovalent-ionisch gebundenen BiTe+ X- Einheitszelle. Eine erweiterte Analyse der Oberflächeneigenschaften ist durch die Bedampfung mit Cs möglich, wobei eine Änderung der elektronischen Struktur durch die Wechselwirkung mit dem Alkalimetall studiert wird. Modifiziert man die Kristallstruktur sowie die chemische Zusammensetzung von BiTeI(0001) nahe der Oberfläche durch Heizen im Vakuum, bewirkt dies eine Veränderung der Bandstruktur in zwei Schritten. So führt zunächst der Verlust von Iod zum Verlust der Rashba-Aufspaltung, was vermutlich durch eine Aufhebung der Inversionsasymmetrie in der Einheitszelle verursacht wird. Anschließend bildet sich eine neue Kristallstruktur, die topologisch nichttriviale Oberflächenzustände hervorbringt. Der Umordnungsprozess betrifft allerdings nur die Kristalloberfläche - im Volumen bleibt die inversionsasymmetrische
Einheitszelle erhalten. Einem derartigen Hybridsystem werden bislang unbekannte elektronische Eigenschaften vorausgesagt. Eine systematische Untersuchung von Dünnschicht-TIs, die mittels Molekularstrahlepitaxie (MBE) erzeugt wurden, zeigt eine Veränderung der Morphologie und elektronischen Struktur in Abhängigkeit von Stöchiometrie und Substrat. Der Vergleich zwischen MBE und gewachsenen Einkristallen offenbart deutliche Unterschiede. Bei einem der Dünnschichtsysteme tritt sogar eine lokal inhomogene Zustandsdichte im Bindungsenergiebereich des topologischen Oberflächenzustands auf.
We study the structure formation of 1,4,5,8-naphthalenetetracarboxylicacid-
dianhydride (NTCDA) multilayer films on Ag(111) surfaces by energy dispersive near-edge x-ray absorption fine-structure spectroscopy (NEXAFS) and photoelectron spectroscopy. The time resolution of seconds of the method allows us to identify several sub-processes, which occur during the post-growth three-dimensional structural ordering, as well as their characteristic time scales. After deposition at low temperature the NTCDA molecules are preferentially flat lying and the films exhibit no long-range order. Upon annealing the molecules flip into an upright orientation followed by an aggregation in a transient phase which exists for several minutes. Finally, threedimensional islands are established with bulk-crystalline structure involving substantial mass transport on the surface and morphological roughening. By applying the Kolmogorov–Johnson–Mehl–Avrami model the activation energies of the temperature-driven sub-processes can be derived from the time evolution of the NEXAFS signal.
For determination of structures and structural dynamics of proteins organic fluorophores are a standard instrument. Intra- and intermolecular contact of biomolecular structures are determined in time-resolved and stationary fluorescence microscopy experiments by quenching of organic fluorophores due to Photoinduced Electron Transfer (PET) and dimerization interactions. Using PET we show in this work that end-to-end contact dynamics of serine-glycine peptides are slowed down by glycosylation. This slow down is due to a change in reaction enthalpy for end-to-end contact and is partly compensated by entropic effects. In a second step we test how dimerization of MR121 fluorophore pairs reports on end-to-end contact dynamics. We show that in aqueous solutions containing strong denaturants MR121 dimerization reports advantageously on contact dynamics for glycine-serine oligopeptides compared to the previously used MR121/tryptophane PET reporters. Then we analyze dimer interactions and quenching properties of different commercially available fluorophores being standards in Förster Resonance Energy Transfer (FRET) measurements. Distances in biomolecules are determinable using FRET, but for very flexible biomolecules the analysis of masurement data can be distorted if contact of the two FRET fluorophores is likely. We quantify how strong the quenching of fluorophore pairs with two different or two identical fluorophores is. Dimer spectra and association constants are quantified to estimate if fluophores are applicable in various applications, e.g. in FRET measurements with unstructured peptides and proteins.
The position of a single GaAs quantum dot (QD), which is optically active, grown by low-density droplet epitaxy (DE) (approximately 4 QDs/μm\(^{2}\)), was directly observed on the surface of a 45-nm-thick Al\(_{0.3}\)Ga\(_{0.7}\)As capping layer. The thin thickness of AlGaAs capping layer is useful for single photon sources with plasmonic optical coupling. A micro-photoluminescence for GaAs DE QDs has shown exciton/biexciton behavior in the range of 1.654 to 1.657 eV. The direct observation of positions of low-density GaAs DE QDs would be advantageous for mass fabrication of devices that use a single QD, such as single photon sources.
In Magnetic Resonance Imaging (MRI), acquisition of dynamic data may be highly complex due to rapid changes occurred in the object to be imaged. For clinical diagnostic, dynamic MR images require both high spatial and temporal resolution. The speed in the acquisition is a crucial factor to capture optimally dynamics of the objects to obtain accurate diagnosis. In the 90’s, partially parallel MRI (pMRI) has been introduced to shorten scan times reducing the amount of acquired data. These approaches use multi-receiver coil arrays to acquire independently and simultaneously the data.
Reduction in the amount of acquired data results in images with aliasing artifacts. Dedicated methods as such Sensitivity Encoding (SENSE) and Generalized Autocalibrating Partially Parallel Acquisition (GRAPPA) were the basis of a series of algorithms in pMRI.
Nevertheless, pMRI methods require extra spatial or temporal information in order to optimally reconstruct the data. This information is typically obtained by an extra scan or embedded in the accelerated acquisition applying a variable density acquisition scheme.
In this work, we were able to reduce or totally eliminate the acquisition of the training data for kt-SENSE and kt-PCA algorithms obtaining accurate reconstructions with high temporal fidelity.
For dynamic data acquired in an interleaved fashion, the temporal average of accelerated data can generate an artifact-free image used to estimate the coil sensitivity maps avoiding the need of extra acquisitions. However, this temporal average contains errors from aliased components, which may lead to signal nulls along the spectra of reconstructions when methods like kt-SENSE are applied. The use of a GRAPPA filter applied to the temporal average reduces these errors and subsequently may reduce the null components in the reconstructed data. In this thesis the effect of using temporal averages from radial data was investigated. Non-periodic artifacts performed by undersampling radial data allow a more accurate estimation of the true temporal average and thereby avoiding undesirable temporal filtering in the reconstructed images. kt-SENSE exploits not only spatial coil sensitivity variations but also makes use of spatio-temporal correlations in order to separate the aliased signals. Spatio-temporal correlations in kt-SENSE are learnt using a training data set, which consists of several central k-space lines acquired in a separate scan. The scan of these extra lines results in longer acquisition times even for low resolution images. It was demonstrate that limited spatial resolution of training data set may lead to temporal filtering effects (or temporal blurring) in the reconstructed data.
In this thesis, the auto-calibration for kt-SENSE was proposed and its feasibility was tested in order to completely eliminate the acquisition of training data. The application of a prior TSENSE reconstruction produces the training data set for the kt-SENSE algorithm. These training data have full spatial resolution. Furthermore, it was demonstrated that the proposed auto-calibrating method reduces significantly temporal filtering in the reconstructed images compared to conventional kt-SENSE reconstructions employing low resolution training images. However, the performance of auto-calibrating kt-SENSE is affected by the Signal-to-Noise Ratio (SNR) of the first pass reconstructions that propagates to the final reconstructions.
Another dedicated method used in dynamic MRI applications is kt-PCA, that was first proposed for the reconstruction of MR cardiac data. In this thesis, kt-PCA was employed for the generation of spatially resolved M0, T1 and T2 maps from a single accelerated IRTrueFISP or IR-Snapshot FLASH measurement. In contrast to cardiac dynamic data, MR relaxometry experiments exhibit signal at all temporal frequencies, which makes their reconstruction more challenging. However, since relaxometry measurements can be represented by only few parameters, the use of few principal components (PC) in the kt-PCA algorithm can significantly simplify the reconstruction. Furthermore, it was found that due to high redundancy in relaxometry data, PCA can efficiently extract the required information from just a single line of training data.
It has been demonstrated in this thesis that auto-calibrating kt-SENSE is able to obtain high temporal fidelity dynamic cardiac reconstructions from moderate accelerated data avoiding the extra acquisition of training data. Additionally, kt-PCA has been proved to be a suitable method for the reconstruction of highly accelerated MR relaxometry data.
Furthermore, a single central training line is necessary to obtain accurate reconstructions. Both reconstruction methods are promising for the optimization of training data acquisition and seem to be feasible for several clinical applications.
The subject of this thesis is the control of strain in HgTe thin-film crystals. Such systems are members of the new class of topological insulator materials and therefore of special research interest. A major task was the experimental control of the strain in the HgTe films. This was achieved by a new epitaxial approach and confirmed by cristallographic analysis and magneto-transport measurements.
In this work, strain was induced in thin films by means of coherent epitaxy on substrate crystals. This means that the film adopts the lattice constant of the substrate in the plane of the substrate-epilayer interface. The level of strain is determined by the difference between the strain-free lattice constants of the substrate and epilayer material (the so-called lattice mismatch). The film responds to an in-plane strain with a change of its lattice constant perpendicular to the interface. This relationship is crucial for both the correct interpretation of high resolution X-ray diffraction (HRXRD) measurements, and the precise determination of the band dispersion. The lattice constant of HgTe is smaller than the lattice constant of CdTe. Therefore, strain in HgTe is tensile if it is grown on a CdTe substrate. In principle, compressive strain can be achieved by using an appropriate \(\text{Cd}_{1-x}\text{Zn}_{x}\text{Te}\) substrate. This concept was modified and applied in this work.
Epilayers have been fabricated by molecular-beam epitaxy (MBE). The growth of thick buffer layers of CdTe on GaAs:Si was established as an alternative to commercial CdTe and \(text{Cd}_{0.96}\text{Zn}_{0.04}\text{Te}\) substrates. The growth conditions have been optimized by an analysis of atomic force microscopy and HRXRD studies. HRXRD measurements reveal a power-law increase of the crystal quality with increasing thickness. Residual strain was found in the buffer layers, and was attributed to a combination of finite layer thickness and mismatch of the thermal expansion coefficients of CdTe and GaAs. In order to control the strain in HgTe epilayers, we have developed a new type of substrate with freely adjustable lattice constant.
CdTe-\(\text{Cd}_{0.5}\text{Zn}_{0.5}\text{Te}\) strained-layer-superlattices have been grown by a combination of MBE and atomic-layer epitaxy (ALE), and have been analyzed by HRXRD. ALE of the \(\text{Cd}_{0.5}\text{Zn}_{0.5}\text{Te}\) layer is self-limiting to one monolayer, and the effective lattice constant can be controlled reproducibly and straightforward by adjusting the CdTe layer thickness. The crystal quality has been found to degrade with increasing Zn-fraction. However, the effect is less drastic compared to single layer \(\text{Cd}_{1-x}\text{Zn}_{x}\text{Te}\) solid solutions. HgTe quantum wells (QWs) sandwiched in between CdHgTe barriers have been fabricated in a similar fashion on superlattices and conventional CdTe and \(\text{Cd}_{0.96}\text{Zn}_{0.04}\text{Te}\) substrates. The lower critical thickness of the CdHgTe barrier material grown on superlattice substrates had to be considered regarding the sample design. The electronic properties of the QWs depend on the strain and thickness of the QW. We have determined the QW thickness with an accuracy of \(\pm\)0.5 nm by an analysis of the beating patterns in the thickness fringes of HRXRD measurements and X-ray reflectometry measurements. We have, for the first time, induced compressive strain in HgTe QWs by an epitaxial technique (i.e. the effective lattice constant of the superlattice is lower compared to the lattice constant of HgTe). The problem of the lattice mismatch between superlattice and barriers has been circumvented by using CdHgTe-ZnHgTe superlattices instead of CdHgTe as a barrier material. Furthermore, the growth of compressively strained HgTe bulk layers (with a thickness of at least 50 nm) was demonstrated as well.
The control of the state of strain adds a new degree of freedom to the design of HgTe epilayers, which has a major influence on the band structure of QWs and bulk layers. Strain in bulk layers lifts the degeneracy of the \(\Gamma_8\) bands at \(\mathbf{k}=0\). Tensile strain opens an energy gap, compressive strain shifts the touching points of the valence- and conduction band to positions in the Brillouin zone with finite \(\mathbf{k}\). Such a situation has been realized for the first time in the course of this work. For QWs in the inverted regime, it is demonstrated that compressive strain can be used to significantly enhance the thermal energy gap of the two-dimensional electron gas (2DEG). In addition, semi-metallic and semiconducting behavior is expected in wide QWs, depending on the state of strain. An examination of the temperature dependence of the subband ordering in QWs revealed that the band gap is only temperature-stable for appropriate sample parameters and temperature regimes. The band inversion is always lifted for sufficiently high temperatures.
A large number of models investigate the influence of the band gap on the stability of the quantum-spin-Hall (QSH) effect. An enhancement of the stability of QSH edge state conductance is expected for enlarged band gaps. Furthermore, experimental studies on the temperature dependence of the QSH conductance are in contradiction to theoretical predictions. Systematic studies of these aspects have become feasible based on the new flexibility of the sample design.
Detailed low-temperature magnetotransport studies have been carried out on QWs and bulk layers. For this purpose, devices have been fabricated lithographically, which consist of two Hall-bar geometries with different dimensions. This allows to discriminate between conductance at the plane of the 2DEG and the edge of the sample. The Fermi energy in the 2DEG has been adjusted by means of a top gate electrode. The strain-induced transition from semi-metallic to semiconducting characteristics in wide QWs was shown. The magnitude of the semi-metallic overlap of valence- and conduction band was determined by an analysis of the two-carrier conductance and is in agreement with band structure calculations. The band gap of the semiconducting sample was determined by measurements of the temperature dependence of the conductance at the charge-neutrality point. Agreement with the value expected from theory has been achieved for the first time in this work. The influence of the band gap on the stability of QSH edge state conductance has been investigated on a set of six samples. The band gap of the set spans a range of 10 to 55 meV. The latter value has been achieved in a highly compressively strained QW, has been confirmed by temperature-dependent conductance measurements, and is the highest ever reported in the inverted regime. Studies of the carrier mobility reveal a degradation of the sample quality with increasing Zn-fraction in the superlattice, in agreement with HRXRD observations. The enhanced band gap does not suppress scattering mechanisms in QSH edge channels, but lowers the conductance in the plane of the 2DEG. Hence, edge state conductance is the dominant conducting process even at elevated temperatures. An increase in conductance with increasing temperature has been found, in agreement with reports from other groups. The increase follows a power-law dependency, the underlying physical mechanism remains open. A cause for the lack of an increase of the QSH edge state conductance with increasing energy gap has been discussed. Possibly, the sample remains insulating even at finite carrier densities, due to localization effects. The measurement does not probe the QSH edge state conductance at the situation where the Fermi energy is located in the center of the energy gap, but in the regime of maximized puddle-driven scattering. In a first set of measurements, it has been shown that the QSH edge state conductance can be influenced by hysteretic charging effects of trapped states in the insulating dielectric. A maximized conductance of \(1.6\ \text{e}^2/\text{h}\) was obtained in a \(58\ \mu\text{m}\) edge channel. Finally, measurements on three dimensional samples have been discussed. Recent theoretical works assign compressively strained HgTe bulk layers to the Weyl semi-metal class of materials. Such layers have been synthesized and studied in magnetotransport experiments for the first time. Pronounced quantum-Hall- and Shubnikov-de-Haas features in the Hall- and longitudinal resistance indicate two-dimensional conductance on the sample surface. However, this conductance cannot be assigned definitely to Weyl surface states, due to the inversion of \(\Gamma_6\) and \(\Gamma_8\) bands. If a magnetic field is aligned parallel to the current in the device, a decrease in the longitudinal resistance is observed with increasing magnetic field. This is a signature of the chiral anomaly, which is expected in Weyl semi-metals.
In dieser Habilitationsschrift wird das Gesamtgebiet des Wärmetransports in dispersen Medien untersucht, kompakt, ohne Anspruch auf Vollständigkeit, jedoch mit Schwerpunkt auf Strahlungstransport in nicht-transparenten Medien; hier sind es bevorzugt hochporöse Substanzen, die aus Festkörperteilchen bestehen. Die Ergebnisse lassen sich auf andere disperse nicht-transparente Medien wie dichte Gasatmosphären oder einige Zweiphasengemische übertragen, wenn Nicht-Strahlungsanteile und Gesamt-Energieerhaltung korrekt formuliert werden. Die vorliegenden Untersuchungen konzentrieren sich auf stationäre Randbedingungen und Strahlungsquellen. Die Motivation zu dieser Arbeit ist mindestens zweifach: Die Trennung des totalen Wärmestroms in seine Komponenten, in irgendeinem kontinuierlichen oder dispersen Medium, ist eines der herausfordernden, gleichzeitig schwierigsten physikalischen Probleme bei der Analyse des Wärmetransports; zum zweiten ist es für die Verringerung von Wärmeverlusten (z. B. in thermischen Isolierungen) dringend erforderlich, die einzelnen Komponenten der Wärmeverlustströme zu kennen, um sie einzeln zu minimieren (das geht offensichtlich nur, wenn man den totalen Wärmstrom in seine Komponenten zerlegen kann). Die Trennung kann erfolgreich sein, wenn die optische Dicke des untersuchten Mediums sehr groß ist (das Medium ist dann nicht-transparent). In dieser idealen, in der Energietechnik jedoch häufig auftretenden Situation (und nicht nur dort), liefert das Strahlungsdiffusionsmodell den korrekten Ansatz zur Beschreibung des Strahlungsanteils und dessen Temperaturabhängigkeit. Wegen Energieerhaltung und mit der additiven Näherung erlaubt dieses Ergebnis umgekehrt die Berechnung auch der Nichtstrahlungsanteile im totalen Wärmestrom; diese sind demnach alle gleichzeitig in kalorimetrischen Messungen zugänglich. Damit wird nachfolgende separate Analyse dieser Komponenten mittels geeigneter theoretischer Modelle möglich. Da das Temperaturprofil im Medium alle Wärmestromkomponenten zum totalen Wärmestrom miteinander koppelt, ist für diesen Ansatz die Kenntnis der Temperaturabhängigkeit auch aller Nicht-Strahlungsanteile erforderlich. Neben der kalorimetrischen Methode kann die Bestimmung der Extinktion des dispersen Mediums und hiermit des Strahlungstransports auch mittels Spektroskopie sowie Berechnung nach der strengen Mie-Theorie der Lichtstreuung und mit dem Rosseland-Mittelwert vorgenommen werden. Dadurch wird ein Vergleich möglich zwischen Ergebnissen, die mittels drei voneinander völlig unabhängiger Methoden, nämlich kalorimetrisch, spektroskopisch und analytisch/numerisch erzielt wurden. Die Ergebnisse stimmen überein, wenn das Medium nicht-transparent ist; dieser Nachweis wird in der vorliegenden Habilitationsschrift geführt. Im ersten Teil der Habilitationsschrift wird in breit angelegtem Review die Fachliteratur zum Strahlungstransport bis zum Jahr 1985 diskutiert und Methoden zur Lösung der Strahlungstransportgleichung auch im Fall stark anisotroper Streuung beschrieben. Wegen der Forderung nach Energieerhaltung und mit dem oben genannten Ziel, auch die Nicht-Strahlungskomponenten zu analysieren, muß diese Diskussion die theoretischen Aspekte auch dieser Anteile (hier Gas- und Festkörperkontakt-Wärmetransport) einschließen. Den Schluß des ersten Teils bildet ein Katalog offener Fragen, die im zweiten Teil der Habilitationsschrift angegangen werden. Dort werden mittels experimenteller und analytisch/numerischer Ergebnisse das Strahlungsdiffusionsmodell und seine Anwendbarkeit auf disperse nicht-transparente Medien bestätigt. Die Analysen sind gerichtet auf reine oder mit Infrarot-Trübungsmitteln dotierte Pulver und Faserpapiere; beide sind leicht zugängliche, wohl-definierte Testsubstanzen disperser Medien. Ein wichtiger Teil dieser Untersuchungen enthält Messungen ihrer Wärmeleitfähigkeit unter Vakuum und unter externer mechanischer Druckbelastung. Mit evakuierten, druckbelasteten Faserpapieren wurden Wärmeleitfähigkeiten erzielt, die zu den niedrigsten gehören, die bis 1985 an solchen Medien bei hohen Temperaturen gemessen wurden. Weiter sollen optimale Teilchendurchmesser gefunden werden, mit denen das Extinktionsvermögen solcher Schüttungen signifikant erhöht werden kann. Insbesondere ist eine exotische Vorhersage der Mie-Theorie zu prüfen, nach welcher die Extinktion perfekt elektrisch leitender, langer, extrem dünner Zylinder (unter 50 nm) um Größenordnungen über derjenigen herkömmlicher (nichtleitender) Pulver oder Fasern liegt; hierfür sind Materialproben herzustellen. In der Habilitationsschrift wird aufgezeigt, welcher Weg für diesen Nachweis beschritten werden muß (wenige Jahre nach Vorlage der Habilitationsschrift wurden Gustav Mies und Milton Kerkers Vorhersagen auf diesem Weg mit feinsten metallisierten Glasfasern und mit Nickelfasern in Veröffentlichungen des Autors gemeinsam mit J. Fricke, M. Arduini-Schuster, H.-P. Ebert, R. Caps, D. Büttner und A. Kreh erstmalig bestätigt).
Mutual coupling and injection locking of semiconductor lasers is of great interest in non-linear dynamics and its applications for instance in secure data communication and photonic reservoir computing. Despite its importance, it has hardly been studied in microlasers operating at mu W light levels. In this context, vertically emitting quantum dot micropillar lasers are of high interest. Usually, their light emission is bimodal, and the gain competition of the associated linearly polarized fundamental emission modes results in complex switching dynamics. We report on selective optical injection into either one of the two fundamental mode components of a bimodal micropillar laser. Both modes can lock to the master laser and influence the non-injected mode by reducing the available gain. We demonstrate that the switching dynamics can be tailored externally via optical injection in very good agreement with our theory based on semi-classical rate equations. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
Kavitäts-Exziton-Polaritonen (Polaritonen) sind hybride Quasiteilchen, die sich aufgrund starker Kopplung von Halbleiter-Exzitonen mit Kavitätsphotonen ausbilden. Diese Quasiteilchen weisen eine Reihe interessanter Eigenschaften auf, was sie einerseits für die Grundlagenforschung, andererseits auch für die Entwicklung neuartiger Bauteile sehr vielversprechend macht. Bei Erreichen einer ausreichend großen Teilchendichte geht das System in den Exziton-Polariton-Kondensationszustand über, was zur Emission von laserartigem Licht führt. Organische Halbleiter als aktives Emittermaterial zeigen in diesem Kontext großes Potential, da deren Exzitonen neben großen Oszillatorstärken auch hohe Bindungsenergien aufweisen. Deshalb ist es möglich, unter Verwendung organischer Halbleiter selbst bei Umgebungsbedingungen äußerst stabile Polaritonen zu erzeugen. Eine wichtige Voraussetzung zur Umsetzung von integrierten opto-elektronischen Bauteilen basierend auf Polaritonen ist der kontrollierte räumliche Einschluss sowie die Realisierung von frei konfigurierbaren Potentiallandschaften. Diese Arbeit beschäftigt sich mit der Entwicklung und der Untersuchung geeigneter Plattformen zur Erzeugung von Exziton-Polaritonen und Polaritonkondensaten in hemisphärischen Mikrokavitäten, in die organische Halbleiter eingebettet sind.