8 resultados para Band gaps

em ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha


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Ausgehend von der Entdeckung der reversiblen Strukturierung mittels Rastersondenmethoden im Phasensystem Na2O/V2O5/P2O5 wurden im Rahmen dieser Arbeit zwei Ansatzpunkte verfolgt. Einerseits sollten mittels der Schmelzflußelektrolyse einige bereits existierende niederdimensionale Molybdänbronzen mit bekannten elektronischen Übergängen in ausreichend großen Kristallen gezüchtet werden, um sie auf ihre Strukturierungseigenschaften hin zu untersuchen. Gleichzeitig sollte durch Variation versucht werden, neue, bisher unbekannte Bronzen oder reduzierte Oxide zu synthetisieren und charakterisieren. Der zweite Schwerpunkt dieser Arbeit lag in der Synthese und Charakterisierung von Oxidchalkogeniden, bestehend aus einem Seltenerdmetall und einem 3d-Metall von Titan bis hin zu den mittleren Übergangsmetallen. Diese Verbindungen können durch die Kombination der jeweiligen Eigenschaften der oxidischen und chalkogeniden Teilstrukturen völlig neue elektronische und/oder magnetische Eigenschaften aufweisen. Mögliche auftretende Phasenübergänge sind wiederum für Strukturierungsversuche interessant. Die zu den Oxidchalkogeniden durchgeführten Untersuchungen ergaben im Phasensystem Ln/Ti/S/O (Ln = Lanthanoide) insgesamt sechs Verbindungen. Zwei von ihnen, La8Ti9S24O4 und Nd20Ti11S44O6, besitzen als gemeinsames Strukturelement tetranukleare [Ti4(u4-S)2(u2-O)4]-Cluster, bestehend aus vier miteinander über gemeinsame Flächen kondensierte TiS4O2-Oktaeder. Die Titanpositionen innerhalb der Cluster sind mit Ti+3-Ionen besetzt. Beide Verbindungen weisen in einem Temperaturbereich zwischen 150 K und 250 K eine deutlich ausgeprägte Hysterese der magnetischen Suszeptibilität auf, die sich im Falle von La8Ti9S24O4 auf einen Jahn-Teller-Übergang zurückführen läßt. Daneben konnte erstmals eine Serie oxidisch/sulfidisch gemischter Ruddlesden-Popper-Verbindungen mit Ln2Ti2S2O5 (Ln = Pr, Nd, Sm) synthetisiert und charakterisiert werden. Titan liegt als vierwertiges Ion in aus TiSO5-Oktaedern gebildeten Perowskit-Doppelschichten vor. Die neunfach koordinierten Positionen sind mit den Seltenerdmetallionen gefüllt, die zwölffach koordinierten Lagen sind unbesetzt. Bei dem sechsten erhaltene Titanoxidsulfid, La4TiS6.5O1.5, handelt es sich um einen Halbleiter mit einer Bandlücke von etwa 2 eV. Weiterhin gelang es, die Serie Ln2M3S2O8 (Ln = La, Ce, Pr, Nd, Sm; M = Nb, Ta) zu synthetisieren und in ihren physikalischen Eigenschaften zu charakterisieren. Es handelt sich ausnahmslos um Halbleiter mit Bandlücken zwischen E=0.125 eV für La2Nb3S2O8 und E=0.222 eV für Pr2Ta3S2O8. Die Struktur der Oxidsulfide Ce2Ta3S2O8, Pr2Ta3S2O8, Nd2Nb3S2O8 sowie Sm2Ta3S2O8 weist im Gegensatz zu den anderen Verbindungen eine Fehlordnung eines der beiden kristallographisch unabhängigen Nb- bzw. Ta-Atome auf. Daraus resultiert eine Symmetrieerniedrigung von Pnma zu Pbam. Der Einsatz von Europium führte zu einer neuen Modifikation des bronzoiden Oxids EuTa2O6, in der das Europium als Eu+2 vorliegt, wie 151Eu-Mößbauer-Untersuchungen bestätigten. Vor der Durchführung der Kristallzüchtungen mittels der Schmelzflußelektrolysen mußten die benutzen Öfen und Elektrolysezellen geplant und angefertigt werden. Es konnten dann verschiedene blaue, rote und violette Moybdänbronzen (sowie La2Mo2O7) in Kristallen bis zu 25 mm Länge dargestellt werden. Ferner gelang die erste exakte Einkristalluntersuchung der roten Bronze Rb0.33MoO3. Sie verfügt über die höchste d-Elektronen-Lokalisierungsrate aller bekannten roten Bronzen. Die erhaltenen Bronzen wurden teilweise von der Arbeitsgruppe Fuchs, Physikalisches Institut der Westfälischen Wilhelms-Universität Münster, auf ihre Nanostrukturierbarkeit hin untersucht. Dabei ergaben sich zwei verschiedene Strukturierungsmechanismen. Sind es im Fall der blauen Alkalimetall-Molybdänbronzen ausschließlich Lochstrukturen, die entstehen, handelt es sich bei La2Mo2O7 um Hügelstrukturen. Mittels der Schmelzflußelektrolyse konnte auch das gemischtvalente Alkalimetall-Eisenmolybdat NaFe2(MoO4)3 synthetisiert werden. Daneben gelang die Synthese dreier weiterer Alkalimetall-Eisenmolybdate: Cs2Fe2(MoO4)3, NaFe4(MoO4)5 und CsFe5(MoO4)7. Bis auf Cs2Fe2(MoO4)3, welches in der bekannten Langbeinit-Struktur kristallisiert, handelt es sich bei den übrigen Alkalimetall-Eisenmolybdaten um völlig neuartige Käfigverbindungen, bzw. bei CsFe5(MoO4)7 um eine Tunnelverbindung. Die Kristallstrukturen beinhalten kondensierte FeO6-Oktaeder. Im Fall von NaFe2(MoO4)3 lassen sich [Fe2O10]-Einheiten, für NaFe4(MoO4)5 [Fe2O10]- sowie [Fe3O14]-Einheiten, und für CsFe5(MoO4)7 [Fe4O18]-Baueinheiten beobachten. Die Positionen der Fe+2- und Fe+3-Atome in NaFe4(MoO4)5 wurden mit Hilfe einer 57Fe-Mößbauer-Untersuchung bestimmt.

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The purpose of this thesis is to further the understanding of the structural, electronic and magnetic properties of ternary inter-metallic compounds using density functional theory (DFT). Four main problems are addressed. First, a detailed analysis on the ternary Heusler compounds is made. It has long been known that many Heusler compounds ($X_2YZ$; $X$ and $Y$ transition elements, $Z$ main group element) exhibit interesting half-metallic and ferromagnetic properties. In order to understand these, the dependence of magnetic and electronic properties on the structural parameters, the type of exchange-correlation functional and electron-electron correlation was examined. It was found that almost all Co$_2YZ$ Heusler compounds exhibit half-metallic ferromagnetism. It is also observed that $X$ and $Y$ atoms mainly contribute to the total magnetic moment. The magnitude of the total magnetic moment is determined only indirectly by the nature of $Z$ atoms, and shows a trend consistent with Slater-Pauling behaviour in several classes of these compounds. In contrast to experiments, calculations give a non-integer value of the magnetic moment in certain Co$_2$-based Heusler compounds. To explain deviations of the calculated magnetic moment, the LDA+$U$ scheme was applied and it was found that the inclusion of electron-electron correlation beyond the LSDA and GGA is necessary to obtain theoretical description of some Heusler compounds that are half-metallic ferromagnets. The electronic structure and magnetic properties of substitutional series of the quaternary Heusler compound Co$_2$Mn$_{1-x}$Fe$_x$Si were investigated under LDA+$U$. The calculated band structure suggest that the most stable compound in a half-metallic state will occur at an intermediate Fe concentration. These calculated findings are qualitatively confirmed by experimental studies. Second, the effect of antisite disordering in the Co$_2$TiSn system was investigated theoretically as well as experimentally. Preservation of half-metallicity for Co$_2$TiSn was observed with moderate antisite disordering and experimental findings suggest that the Co and Ti antisites disorder amounts to approximately 10~% in the compound. Third, a systematic examination was carried out for band gaps and the nature (covalent or ionic) of bonding in semiconducting 8- and 18-electron or half-metallic ferromagnet half-Heusler compounds. It was found that the most appropriate description of these compounds from the viewpoint of electronic structures is one of a $YZ$ zinc blende lattice stuffed by the $X$ ion. Simple valence rules are obeyed for bonding in the 8- and 18-electron compounds. Fourth, hexagonal analogues of half-Heusler compounds have been searched. Three series of compounds were investigated: GdPdSb, GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP. GdPdSb is suggested as a possible half-metallic weak ferromagnet at low temperature. GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP were investigated because they exhibit interesting bonding, structural and magnetic properties. The results qualitatively confirm experimental studies on magnetic and structural behaviour in GdPdSb, GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP compounds. ~

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The work presented in this thesis deals with complex materials, which were obtained by self-assembly of monodisperse colloidal particles, also called colloidal crystallization. Two main fields of interest were investigated, the first dealing with the fabrication of colloidal monolayers and nanostructures, which derive there from. The second turned the focus on the phononic properties of colloidal particles, crystals, and glasses. For the fabrication of colloidal monolayers a method is introduced, which is based on the sparse distribution of dry colloidal particles on a parent substrate. In the ensuing floating step the colloidal monolayer assembles readily at the three-phase-contact line, giving a 2D hexagonally ordered film under the right conditions. The unique feature of this fabrication process is an anisotropic shrinkage, which occurs alongside with the floating step. This phenomenon is exploited for the tailored structuring of colloidal monolayers, leading to designed hetero-monolayers by inkjet printing. Furthermore, the mechanical stability of the floating monolayers allows the deposition on hydrophobic substrates, which enables the fabrication of ultraflat nanostructured surfaces. Densely packed arrays of crescent shaped nanoparticles have also been synthesized. It is possible to stack those arrays in a 3D manner allowing to mutually orientate the individual layers. In a step towards 3D mesoporous materials a methodology to synthesize hierarchically structured inverse opals is introduced. The deposition of colloidal particles in the free voids of a host inverse opal allows for the fabrication of composite inverse opals on two length scales. The phononic properties of colloidal crystals and films are characterized by Brillouin light scattering (BLS). At first the resonant modes of colloidal particles consisting of polystyrene, a copolymer of methylmethacrylate and butylacrylate, or of a silica core-PMMA shell topography are investigated, giving insight into their individual mechanical properties. The infiltration of colloidal films with an index matching liquid allows measuring the phonon dispersion relation. This leads to the assignment of band gaps to the material under investigation. Here, two band gaps could be found, one originating from the fcc order in the colloidal crystal (Bragg gap), the other stemming from the vibrational eigenmodes of the colloidal particles (hybridization gap).

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Materials that can mold the flow of elastic waves of certain energy in certain directions are called phononic materials. The present thesis deals essentially with such phononic systems, which are structured in the mesoscale (<1 µm), and with their individual components. Such systems show interesting phononic properties in the hypersonic region, i.e., at frequencies in the GHz range. It is shown that colloidal systems are excellent model systems for the realization of such phononic materials. Therefore, different structures and particle architectures are investigated by Brillouin light scattering, the inelastic scattering of light by phonons.rnThe experimental part of this work is divided into three chapters: Chapter 4 is concerned with the localized mechanical waves in the individual spherical colloidal particles, i.e., with their resonance- or eigenvibrations. The investigation of these vibrations with regard to the environment of the particles, their chemical composition, and the influence of temperature on nanoscopically structured colloids allows novel insights into the physical properties of colloids at small length scales. Furthermore, some general questions concerning light scattering on such systems, in dispute so far, are convincingly addressed.rnChapter 5 is a study of the traveling of mechanical waves in colloidal systems, consisting of ordered and disordered colloids in liquid or elastic matrix. Such systems show acoustic band gaps, which can be explained geometrically (Bragg gap) or by the interaction of the acoustic band with the eigenvibrations of the individual spheres (hybridization gap).rnWhile the latter has no analogue in photonics, the presence of strong phonon scatterers, when a large elastic mismatch between the composite components exists, can largely impact phonon propagation in analogy to strong multiple light scattering systems. The former is exemplified in silica based phononic structures that opens the door to new ways of sound propagation manipulation.rnChapter 6 describes the first measurement of the elastic moduli in newly fabricated by physical vapor deposition so-called ‘stable organic glasses’. rnIn brief, this thesis explores novel phenomena in colloid-based hypersonic phononic structures, utilizing a versatile microfabrication technique along with different colloid architectures provided by material science, and applying a non-destructive optical experimental tool to record dispersion diagrams.rn

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In dieser Arbeit wurden die vielfältigen Anwendungsmöglichkeiten von Carbazol-reichen Verbindungen in unterschiedlichen Architekturen von pi-konjugierten Materialien untersucht. Die Darstellung der Makrozyklen in Kapitel 1 erfolgte über eine templatunterstützte Synthese, da die ausschließlich über ihre para-Position verknüpften Einheiten einen Zugang über ihre Geometrie nicht erlaubten. Cyclododeca-2,7-fluoren wurde als zyklische Modellverbindung für die zahlreichen bekannten linearen Oligo- und Polyfluorene dargestellt, um den Einfluss der Ringstruktur auf die optischen Eigenschaften dieser blau emittierenden Verbindungen zu untersuchen. Motiviert von den geringen Ausbeuten bei der Zyklisierung des Rings unter Yamamoto-Bedingungen wurde nach einer alternativen Kupplungsreaktion gesucht, die den Zugang zu größeren Substanzmengen erlaubt. Die Einführung von terminalen Ethinylgruppen an die zu verknüpfenden Bausteine erlaubte über die Glaser-Eglinton-Reaktion nicht nur eine Verbesserung der Reaktionsausbeute um den Faktor 10, sondern gleichzeitig auch die Erweiterung des Durchmessers auf rund 5 nm. Demonstriert wurde dies anhand der Darstellung von Cyclo[tetrakis(2,7-diethinyltriscarbazol)] und Cyclo[tetrakis(2,7-diethinyltrisfluoren)].rnDer zweite Abschnitt der Dissertation befasste sich mit ausgedehnten zweidimensionalen Strukturen, zu denen auch mehrsträngige Polymere zählen. Für die Darstellung eines Doppelstrang-Polymers mit hoher Periodizität in den beiden in regelmäßigen Abständen verknüpften Strängen wurde ein neues Konzept entwickelt, dass den Zugang zu solchen Verbindungen erlauben sollte. Dieses basierte auf einem vierfach funktionalisierten Carbazol-Makromonomer. Die Polymerisationen wurden in zwei Schritten über Glaser-Eglinton-Reaktionen durchgeführt. Um unkontrollierte Kupplungen zu vermeiden, wurden zwei der vier reaktiven Positionen am Monomer zunächst über Schutzgruppen maskiert und nach der ersten Polymerisation wieder aktiviert. Neben diesem Ansatz über oxidative Ethinylkupplungen wurde auch eine Organometall-Variante mit einem Platin-Komplex im Polymerrückgrat vorgestellt. rnIm dritten Kapitel wurde die Darstellung von Donor-Akzeptor-Polymeren mit niedriger Bandlücke für den Einsatz in organischen Solarzellen besprochen. Im Gegensatz zu den bisherigen Ansätzen in der Literatur wurden hier ganz gezielt Donor- und Akzeptor-Einheiten mit einer Länge von mindestens 1,5 nm synthetisiert und kombiniert, um zu untersuchen, welche Auswirkungen der Einsatz solcher Makromonomere auf die Eigenschaften der Materialien hat. Dabei bestand der Akzeptor-Baustein in drei Polymeren aus Bis[2,7-di-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-9,9,18,18-tetraoctylindeno[1,2-b]-yl]-indeno[1,2-b]fluoren-12,15-dion, während die Donor-Stärke durch den Übergang von einem reinen leiterverbrückten Carbazol-Monomer über eine gemischte Carbazol-Thiophen-Einheit hin zu einem reinen Thiophen-Precursor variiert wurde. Dabei zeigte das Polymer mit Thiophen als Donor den höchsten Zellwirkungsgrad von 0,41 %.rn

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The dissertation presented here deals with high-precision Penning trap mass spectrometry on short-lived radionuclides. Owed to the ability of revealing all nucleonic interactions, mass measurements far off the line of ß-stability are expected to bring new insight to the current knowledge of nuclear properties and serve to test the predictive power of mass models and formulas. In nuclear astrophysics, atomic masses are fundamental parameters for the understanding of the synthesis of nuclei in the stellar environments. This thesis presents ten mass values of radionuclides around A = 90 interspersed in the predicted rp-process pathway. Six of them have been experimentally determined for the first time. The measurements have been carried out at the Penning-trap mass spectrometer SHIPTRAP using the destructive time-of-fligh ion-cyclotron-resonance (TOF-ICR) detection technique. Given the limited performance of the TOF-ICR detection when trying to investigate heavy/superheavy species with small production cross sections (σ< 1 μb), a new detection system is found to be necessary. Thus, the second part of this thesis deals with the commissioning of a cryogenic double-Penning trap system for the application of a highly-sensitive, narrow-band Fourier-transform ion-cyclotron-resonance (FT-ICR) detection technique. With the non-destructive FT-ICR detection method a single singly-charged trapped ion will provide the required information to determine its mass. First off-line tests of a new detector system based on a channeltron with an attached conversion dynode, of a cryogenic pumping barrier, to guarantee ultra-high vacuum conditions during mass determination, and of the detection electronics for the required single-ion sensitivity are reported.

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Heusler compounds are key materials for spintronic applications. They have attracted a lot of interest due to their half-metallic properties predicted by band structure calculations.rnThe aim of this work is to evaluate experimentally the validity of the predictions of half metallicity by band structure calculations for two specific Heusler compounds, Co2FeAl0.3Si0.7 and Co2MnGa. Two different spectroscopy methods for the analysis of the electronic properties were used: Angular Resolved Ultra-violet Photoemission Spectroscopy (ARUPS) and Tunneling Spectroscopy.rnHeusler compounds are prepared as thin films by RF-sputtering in an ultra-high vacuum system. rnFor the characterization of the samples, bulk and surface crystallographic and magnetic properties of Co2FeAl0.3Si0.7 and Co2MnGa are studied. X-ray and electron diffraction reveal a bulk and surface crossover between two different types of sublattice order (from B2 to L21) with increasing annealing temperature. X-ray magnetic circular dichroism results show that the magnetic properties in the surface and bulk are identical, although the magnetic moments obtained are 5% below from the theoretically predicted.rnBy ARUPS evidence for the validity of the predicted total bulk density of states (DOS) was demonstrated for both Heusler compounds. Additional ARUPS intensity contributions close to the Fermi energy indicates the presence of a specific surface DOS. Moreover, it is demonstrated that the crystallographic order, controlled by annealing, plays an important role on brodening effects of DOS features. Improving order resulted in better defined ARUPS features.rnTunneling magnetoresistance measurements of Co2FeAl0.3Si0.7 and Co2MnGa based MTJ’s result in a Co2FeAl0.3Si0.7 spin polarization of 44%, which is the highest experimentally obtained value for this compound, although it is lower than the 100% predicted. For Co2MnGa no high TMR was achieved.rnUnpolarized tunneling spectroscopy reveals contribution of interface states close to the Fermi energy. Additionally magnon excitations due to magnetic impurities at the interface are observed. Such contributions can be the reason of a reduced TMR compared to the theoretical predictions. Nevertheless, for energies close to the Fermi energy and for Co2MnGa, the validity of the band structure calculations is demonstrated with this technique as well.

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Phononic crystals, capable to block or direct the propagation of elastic/acoustic waves, have attracted increasing interdisciplinary interest across condensed matter physics and materials science. As of today, no generalized full description of elastic wave propagation in phononic structures is available, mainly due to the large number of variables determining the band diagram. Therefore, this thesis aims for a deeper understanding of the fundamental concepts governing wave propagation in mesoscopic structures by investigation of appropriate model systems. The phononic dispersion relation at hypersonic frequencies is directly investigated by the non-destructive technique of high-resolution spontaneous Brillouin light scattering (BLS) combined with computational methods. Due to the vector nature of the elastic wave propagation, we first studied the hypersonic band structure of hybrid superlattices. These 1D phononic crystals composed of alternating layers of hard and soft materials feature large Bragg gaps. BLS spectra are sensitive probes of the moduli, photo-elastic constants and structural parameters of the constituent components. Engineering of the band structure can be realized by introduction of defects. Here, cavity layers are employed to launch additional modes that modify the dispersion of the undisturbed superlattice, with extraordinary implications to the band gap region. Density of states calculations in conjunction with the associated deformation allow for unambiguous identication of surface and cavity modes, as well as their interaction with adjacent defects. Next, the role of local resonances in phononic systems is explored in 3D structures based on colloidal particles. In turbid media BLS records the particle vibration spectrum comprising resonant modes due to the spatial confinement of elastic energy. Here, the frequency and lineshapes of the particle eigenmodes are discussed as function of increased interaction and departure from spherical symmetry. The latter is realized by uniaxial stretching of polystyrene spheres, that can be aligned in an alternating electric field. The resulting spheroidal crystals clearly exhibit anisotropic phononic properties. Establishing reliable predictions of acoustic wave propagation, necessary to advance, e.g., optomechanics and phononic devices is the ultimate aim of this thesis.