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Microstructure and texture development during high-strain torsion of NiAl / Mikrostruktur- und Texturentwickung während der Torsionsverformung von NiAlKlöden, Burghardt 20 January 2007 (has links) (PDF)
In this study polycrystalline NiAl has been subjected to torsion deformation. Torsion has been used because of its characteristics. By this deformation mode high shear strains (gamma = 18 in this study) can be imposed on the sample. The deformation conditions are well-defined because of the local deformation mode, which is simple shear. Due to the monoclinic sample symmetry one half of the pole figure is needed in order to obtain the complete texture information, which is more than is needed e.g. by extrusion or rolling. Therefore, texture analysis might be more sensitive with respect to texture components. Furthermore, torsion deformation is characterized by being inhomogeneous in terms of the amount of shear strain and shear strain rate along the sample radius. The shear strain gradient makes the analysis of different stages of deformation on the same sample (i.e. under the same deformation conditions) possible. Another characteristic being special for torsion is that samples change their length, although no axial stress is applied. This effect is known as Swift effect and will be analyzed in detail. The deformation, microstructure and texture development subject to the shear strain are studied by different techniques (Electron Back-Scatter and High Energy Synchrotron Radiation). Beside the development of microstructure and texture with shear strain, the effect of an initial texture as well as the deformation temperature on the development of texture and microstructure constitute an important part of this study. Therefore, samples with three different initial textures were deformed in the temperature range T = 700K – 1300K. The development of the microstructure is characterized by two different regimes depending on the deformation temperature T. For T up to 1000K, continuous dynamic recrystallization (CDRX) takes place. This mechanism leads to the deformation-induced dislocations forming low angle grain boundaries (LAGBs) or being incorporated into them and the successive transformation of these boundaries into high angle grain boundaries (HAGBs) by a further increase of their misorientation. The predictions of this model were compared with the experimental results. The shear stress – shear strain curves are characterized by a peak at low strains, which is followed by softening and a steady state at high strains. This condition is fulfilled for a number of samples, but especially <111> oriented samples do not show a softening stage at low temperatures. Grain refinement takes place for all samples and the average grain size decreases with temperature. The predicted LAGB decrease is in best agreement with the experiments at the lowest temperatures (T = 700K and 800K). Deviations from the model can be explained by the temperature dependence of the grain boundary mobility. For temperatures T > 1000K, discontinuous dynamic recrystallization (DDRX) occurs, by which new grains form by nucleation and subsequent growth. The texture is characterized by two components, {100}<100> (cube, C) and {110}<100> (Goss, G). The intensity of G increases with temperature, while that of C decreases independent of the initial orientation. Both components have their maximum deviated about the 1 axis. The deviation is larger for grains containing the C component and decreases with temperature. Grains containing the G component have the smaller deviation, which decreases with temperature and strain. Texture simulations based on the full constraint Taylor model under the assumption of {110}<100> and {110}<110> slip were done with the experimental <110> and <111> fibres as well as a theoretical <100> fibre and a {100}<100> single orientation (ideal as well as rotated about the torsion axis). The G component is predicted by the simulations and is therefore a deformation texture. However the C component does not appear in the simulation. It therefore must originate by different mechanisms. For the non-<100> oriented samples, possibly nucleation is responsible for the formation of C oriented nuclei. Simulations with single orientations lead to the conclusion, that the ideal C orientation rotates about the 1 axis, while other C orientations, which are rotated about the torsion axis, increasingly converge towards the G component with strain. A single G orientation on the other hand is stable against such a rotation and is therefore the most likely steady state texture. Based on these results it is proposed, that ideally C oriented nuclei rotate until an orientation is reached into which they grow. These new grains are further rotated up to a critical angle, at which a part of them disappears either by adjacent grains or new C oriented nuclei. The recrystallization texture for T > 1000K is most likely the C component as well. Torsional creep of NiAl is characterized by a stress exponent, which depends on temperature and an activation energy, which is stress dependent. A model incorporating both dependencies is proposed and applied to the creep data. It is shown that these equations are able to describe the experimental findings. Thus creep of NiAl based on this model is dominated by non-diffusional processes such as cross slip of <100> screw dislocations for T 1000K. For T > 1000K the stress exponent and the activation energy are in a region, which according to previous reports is rather dominated by dislocation-climb controlled creep. The Swift effect, due to which samples change their axial dimension during torsion without applied axial stress, is observed for NiAl. It is strongly related to the texture development and in the case of NiAl the C component is identified as being responsible for shortening, whereas the G component leads to lengthening as long as it is not aligned with the shear system. Both tendencies can be explained based on the active slip systems. Simulations fail to predict the experimental observation, because the C component is not present. HESR and EBSD were compared with respect to local texture measurements. It was concluded depending on the average grain size HESR has an advantage in terms of grain statistics. For DDRX samples however, both methods are limited. Local texture inhomogeneities can be better detected using EBSD, whereas for an overall local texture information HESR is better suited.
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On the electronic phase diagram of Ba1-xKx(Fe1-yCoy)2As2 and EuFe2(As1-xPx)2 superconductors: A local probe study using Mössbauer spectroscopy and Muon Spin RelaxationGoltz, Til 28 October 2015 (has links)
In this thesis, I study the electronic and structural phase diagrams of the superconducting 122 iron pnictides systems Ba1-xKx(Fe1-yCoy)2As2 and EuFe2(As1-xPx)2 by means of the local probe techniques 57Fe Mössbauer spectroscopy (MS) and muon spin relaxation (muSR). For both isovalent substitution strategies - Co/K for Fe/Ba and P for As, respectively - the antiferromagnetic Fe ordering and orthorhombic distortion of the parent compounds BaFe2As2 and EuFe2As2 are subsequently suppressed with increasing chemical substitution and superconductivity arises, once long-range and coherent Fe magnetic order is sufficiently but not entirely suppressed.
For Ba1-xKx(Fe1-yCoy)2As2 in the charge compensated state (x/2=y), a remarkably similar suppression of both, the orthorhombic distortion and Fe magnetic ordering, as a function of increasing substitution is observed and a linear relationship between the structural and the magnetic order parameter is found. Superconductivity is evidenced at intermediate substitution with a maximum Tsc of 15 K coexisting with static magnetic order on a microscopic length scale. The appearance of superconductivity within the antiferromagnetic state can by explained by the introduction of disorder due to nonmagnetic impurities to a system with a constant charge carrier density. Within this model, the experimental findings are compatible with the predicted s± pairing symmetry.
For EuFe2(As1-xPx)2, the results from 57Fe MS and ZF-muSR reveal an intriguing interplay of the local Eu 2+ magnetic moments and the itinerant magnetic Fe moments due to the competing structures of the iron and europium magnetic subsystems. For the investigated single crystals with x=0.19 and 0.28, 57Fe MS evidences the interplay of Fe and Eu magnetism by the observation of a transferred hyperfine field below Tafm at which the Eu subsystem orders into a canted A-type AFM magnetic structure. Furthermore, an additional temperature dependent out-of-plane tilting of the static Fe hyperfine field is observed below the onset of static Eu ordering. ZF-muSR shows a strong increase of the local field at the muon site below Tafm=20 K and a crossover from isotropic to anisotropic Eu spin-dynamics between 30 and 10 K. The temperature dependence of the spin dynamics, as derived from the muSR dynamic relaxation rates, are related to a critical slowing down of Eu-spin fluctuations which extends to even much higher temperatures (~100 K). They also effect the experimental linewidth observed in the 57Fe MS experiments. The strong influence of the Eu magnetic order onto the primary observables in both methods prevents conclusive interpretation of the experimental data with respect to a putative interplay of Fe magnetism and superconductivity.
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Thermodynamische und elektrokatalytische Untersuchungen an zinkbasierten intermetallischen Verbindungen bei RaumtemperaturKriegel, René 27 June 2018 (has links)
Die vorliegende Arbeit beschäftigt sich im ersten Teil mit einer Methodenentwicklung zur korrosionsfreien Ermittlung der elektromotorischen Kraft von zinkbasierten intermetallischen Verbindungen bei Raumtemperatur. Die durchgeführten Messungen bezüglich der elektrochemischen Potentiale von Verbindungen der binären intermetallischen Phasen Cu5Zn8, ZnPd und ZnPt mit jeweils verschiedenen elementaren Zusammensetzungen dienen als Basis zur Ermittlung der jeweiligen intrinsischen Aktivitäten der Einzelkomponente Zink. Messungen an der Referenzphase Cu5Zn8 wurden dabei zur Verifizierung der entwickelten Messmethodik durchgeführt. Die Untersuchungen an ZnPd- und ZnPt-Verbindungen liefern erstmalig thermodynamische Daten dieser Phasen bei Raumtemperatur.
Der zweite Teil dieser Arbeit beschäftigt sich mit der katalytischen Untersuchung von intermetallischen äquimolaren ZnPd-Elektroden hinsichtlich der elektrolytischen Wasserstoffentwicklung. Die durchgeführten Experimente legen den Schluss nahe, dass die katalytische Aktivität der intermetallischen Elektroden durch eine gezielte anodische Vorbehandlung signifikant gesteigert werden kann. Ex situ Charakterisierungen geben Grund zu der Annahme, dass die gesteigerte katalytische Aktivität durch die simultane Präsenz von oxidischer und metallischer beziehungsweise intermetallischer Spezies hervorgerufen wird.
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Microstructure and texture development during high-strain torsion of NiAlKlöden, Burghardt 20 October 2006 (has links)
In this study polycrystalline NiAl has been subjected to torsion deformation. Torsion has been used because of its characteristics. By this deformation mode high shear strains (gamma = 18 in this study) can be imposed on the sample. The deformation conditions are well-defined because of the local deformation mode, which is simple shear. Due to the monoclinic sample symmetry one half of the pole figure is needed in order to obtain the complete texture information, which is more than is needed e.g. by extrusion or rolling. Therefore, texture analysis might be more sensitive with respect to texture components. Furthermore, torsion deformation is characterized by being inhomogeneous in terms of the amount of shear strain and shear strain rate along the sample radius. The shear strain gradient makes the analysis of different stages of deformation on the same sample (i.e. under the same deformation conditions) possible. Another characteristic being special for torsion is that samples change their length, although no axial stress is applied. This effect is known as Swift effect and will be analyzed in detail. The deformation, microstructure and texture development subject to the shear strain are studied by different techniques (Electron Back-Scatter and High Energy Synchrotron Radiation). Beside the development of microstructure and texture with shear strain, the effect of an initial texture as well as the deformation temperature on the development of texture and microstructure constitute an important part of this study. Therefore, samples with three different initial textures were deformed in the temperature range T = 700K – 1300K. The development of the microstructure is characterized by two different regimes depending on the deformation temperature T. For T up to 1000K, continuous dynamic recrystallization (CDRX) takes place. This mechanism leads to the deformation-induced dislocations forming low angle grain boundaries (LAGBs) or being incorporated into them and the successive transformation of these boundaries into high angle grain boundaries (HAGBs) by a further increase of their misorientation. The predictions of this model were compared with the experimental results. The shear stress – shear strain curves are characterized by a peak at low strains, which is followed by softening and a steady state at high strains. This condition is fulfilled for a number of samples, but especially <111> oriented samples do not show a softening stage at low temperatures. Grain refinement takes place for all samples and the average grain size decreases with temperature. The predicted LAGB decrease is in best agreement with the experiments at the lowest temperatures (T = 700K and 800K). Deviations from the model can be explained by the temperature dependence of the grain boundary mobility. For temperatures T > 1000K, discontinuous dynamic recrystallization (DDRX) occurs, by which new grains form by nucleation and subsequent growth. The texture is characterized by two components, {100}<100> (cube, C) and {110}<100> (Goss, G). The intensity of G increases with temperature, while that of C decreases independent of the initial orientation. Both components have their maximum deviated about the 1 axis. The deviation is larger for grains containing the C component and decreases with temperature. Grains containing the G component have the smaller deviation, which decreases with temperature and strain. Texture simulations based on the full constraint Taylor model under the assumption of {110}<100> and {110}<110> slip were done with the experimental <110> and <111> fibres as well as a theoretical <100> fibre and a {100}<100> single orientation (ideal as well as rotated about the torsion axis). The G component is predicted by the simulations and is therefore a deformation texture. However the C component does not appear in the simulation. It therefore must originate by different mechanisms. For the non-<100> oriented samples, possibly nucleation is responsible for the formation of C oriented nuclei. Simulations with single orientations lead to the conclusion, that the ideal C orientation rotates about the 1 axis, while other C orientations, which are rotated about the torsion axis, increasingly converge towards the G component with strain. A single G orientation on the other hand is stable against such a rotation and is therefore the most likely steady state texture. Based on these results it is proposed, that ideally C oriented nuclei rotate until an orientation is reached into which they grow. These new grains are further rotated up to a critical angle, at which a part of them disappears either by adjacent grains or new C oriented nuclei. The recrystallization texture for T > 1000K is most likely the C component as well. Torsional creep of NiAl is characterized by a stress exponent, which depends on temperature and an activation energy, which is stress dependent. A model incorporating both dependencies is proposed and applied to the creep data. It is shown that these equations are able to describe the experimental findings. Thus creep of NiAl based on this model is dominated by non-diffusional processes such as cross slip of <100> screw dislocations for T 1000K. For T > 1000K the stress exponent and the activation energy are in a region, which according to previous reports is rather dominated by dislocation-climb controlled creep. The Swift effect, due to which samples change their axial dimension during torsion without applied axial stress, is observed for NiAl. It is strongly related to the texture development and in the case of NiAl the C component is identified as being responsible for shortening, whereas the G component leads to lengthening as long as it is not aligned with the shear system. Both tendencies can be explained based on the active slip systems. Simulations fail to predict the experimental observation, because the C component is not present. HESR and EBSD were compared with respect to local texture measurements. It was concluded depending on the average grain size HESR has an advantage in terms of grain statistics. For DDRX samples however, both methods are limited. Local texture inhomogeneities can be better detected using EBSD, whereas for an overall local texture information HESR is better suited.
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Structural Chemistry of Intermetallic Compounds of Beryllium and Magnesium with Late Transition MetalsAgnarelli, Laura 03 November 2023 (has links)
This work is dedicated to the investigation on intermetallic compounds of beryllium and magnesium with late transition metals. By conducting fundamental research, the objective is to unveil novel intermetallic compounds possessing distinctive chemical bonding and interesting physical properties, with the aim to identify potential semiconductor materials for further thermoelectric applications.
Following the recent discovery of the semiconducting properties of Be5Pt, it was initially hypothesised that replacing Be with Mg, while preserving the semiconducting properties, could enhance the widespread applicability of said material considering the lower toxicity of magnesium compared to that of beryllium. The study of the already well-investigated Mg–Pt system, revealed that a phase with composition Mg5Pt does not exist, instead two new phases, Mg3Pt2 and Mg29-xPt4+y (x = 0.47, y = 0.07), were discovered.
Mg3Pt2 can be synthesised by direct reaction of its constituent elements or through spark plasma sintering (SPS) using MgH2 and PtCl2 as precursors. An in-depth analysis of the chemical bonding in Mg3Pt2 allowed to conclude that belonging to the same structural prototype (Eu3Ga2) does not necessarily indicate the same chemical bonding scenario.
The isolation of single crystals for diffraction experiments combined with atomic-resolution transmission electron microscopy (TEM), enabled the determination and examination of the crystal structure of Mg29-xPt4+y, the existence of which had previously only been hinted on the basis of powder diffraction or metallography analysis. The investigation of the chemical bonding in Mg29-xPt4+y revealed a unique characteristic, that distinguishes it from other complex intermetallic compounds (CMAs). Notably, a spatial separation of regions with different bonding features was observed, explaining a distinctive mixed Mg/Pt site occupancy near the origin of the unit cell.
Beryllium has garnered considerable interest due to its versatile behaviour when combined with other elements. These combinations can give rise to materials exhibiting distinctive physical properties and intriguing chemical bonding characteristics. However, the high toxicity associated with beryllium and its compounds as well as difficulties in characterisation, e.g. very low X-ray scattering power, has limited systematic investigations of Be–based intermetallic compounds. This comprehensive study focuses on the binary Be–Ru system.
The redetermination of the Be3Ru crystal structure, showed that it crystallises with TiCu3–type structure. The crystal structure can be derived by ‘colouring’ the hexagonal closest packing of spheres characteristic for large groups of intermetallic compounds. Be3Ru exhibits diamagnetic properties, and its metallic electrical resistivity is in good agreement both with electronic structure calculations and experimental measurements.
Be2Ru crystallises with Fe2P–type structure, instead of the previously reported MgZn2–type one. Detailed investigations using single crystal X-ray diffraction experiments together with atomic-resolution electron microscopy have revealed the presence of minor orthorhombic inclusions dispersed within the hexagonal Fe2P–type matrix crystal structure. Despite these structural variations, both atomic arrangements primarily consist of similar structural layers and exhibit comparable chemical bonding characteristics.
It has been also discovered that Be3Ru2 crystallises with U3Si2–type structure, in contrast to the previously reported (Mn0.5Fe0.5)2O3–type structure.
Be7Ru4 and Be12Ru7 represent two new phases in the Be–Ru system. They possess a very close atomic composition (63.6 at. % Be and 63.2 at. % Be, respectively) and are situated between Be2Ru and Be3Ru2 in the Be–Ru phase diagram. Together with Be2Ru, these two new phases form a series of two-dimensional intergrowth structures, incorporating building blocks of Be2Ru and Be3Ru2 (Fe2P– and U3Si2– type structure). The first one is comprised of hexagonal channels of Ru atoms accompanied by embedded columns of [Be@Be6] trigonal prisms, while the second structure consists of columns composed of tetragonal [Be@Ru8] and trigonal [Be@Ru6] prisms. The structural organisation observed in Be7Ru4 and Be12Ru7 has not been documented previously, indicating that these two phases represent novel structural prototypes.
A careful investigation of the crystal structure of Be17Ru3, revealed that the center of a cage [X@Be12] around at the origin of the unit cell, is not completely empty, but rather partly occupied by either Be or Ru. Furthermore, it was observed that this cage can be filled by rare earth and actinide elements giving rise to a novel family of ternary compounds with composition RBe68Ru12 (R = U, Th, Ce, Pr, Gd, Ho).
Finally, two new Be–based Laves phases C15–Be2Fe1-xRux (x = 0.52) and C14–Be2Fe1-xOsx (x= 0.57) were discovered through alloying Ru and Os to C14–Be2Fe Laves phase. This study confirmed that the stability of C15 or C14 AB2 Laves phases cannot be predicted by simple reasoning such as atomic size ratio between the A and B atoms, difference in electronegativity or valence electron concentration (VEC), particularly when all three elements, Fe, Ru and Os, belong to the same group of the periodic table.
Despite their different chemical behaviour, the investigation of chemical bonding using quantum chemical techniques in the Be– and Mg–based intermetallic compounds with late transition metals, unveiled shared characteristics whereby their crystal structures are stabilised by the formation of polar multiatomic bonds. The observed charge transfer not only serves a decisive role in stabilising the atomic configurations, but also contributes to the emergence of distinct structuring of the calculated electronic density of states of states, DOS, i.e. appearance of more or less prominent dips in the vicinity of the Fermi level, implying their proximity to a semiconducting state, in particular as far as Be–based intermetallic compounds are concerned.
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Bindungsmodelle für intermetallische Verbindungen mit der Struktur des CuAl2-TypsArmbrüster, Marc 28 December 2004 (has links) (PDF)
Das Ziel der vorliegenden Arbeit war es neue Wege aufzuzeigen, mit deren Hilfe Modelle der chemischen Bindung in intermetallischen Verbindungen entwickelt werden können. Diese Modelle sollten sowohl auf experimentelle als auch auf quantenchemische Befunde gestützt und physikalisch sinnvoll sein. Untersuchungsobjekt waren intermetallische AB2-Verbindungen mit der Struktur des CuAl2-Typs. Von den vielen Vertretern wurden drei Substanzklassen mit insgesamt sechs Verbindungen gewählt, nämlich CuAl2, die Stannide (MnSn2, FeSn2 und CoSn2) sowie die Antimonide (TiSb2 und VSb2). Für die Bestimmung der physikalischen Eigenschaften der Verbindungen wurden Einkristalle mit verschiedenen synthetischen Methoden (Antimonide und Stannide: Synthese in der Schmelze; FeSn2: chemischer Transport; CuAl2: modifiziertes Bridgman-Verfahren) hergestellt. Für alle Verbindungen wurden Einkristallstrukturanalysen durchgeführt, die die aus der Literatur bekannten Strukturlösungen deutlich verbessern konnten. An die Ermittlung der Existenzbedingungen schloss sich die Charakterisierung der Verbindungen hinsichtlich ihrer physikalischen Eigenschaften an. Informationen über Art und Stärke der chemischen Bindung wurden anhand von polarisierten Raman-Messungen an orientierten Einkristallen, Ermittlung der Hall-Tensor- und Widerstands-Tensor-Komponenten, XAS-Spektren und Hochdruckuntersuchungen ermittelt. Um die experimentell bestimmten Eigenschaften der Verbindungen besser verstehen zu können, wurden quantenchemische Berechnungen an den Verbindungen durchgeführt. Auf der Basis von TB-LMTO-ASA-Berechnungen wurden die Bandstrukturen und die DOS der Verbindungen ermittelt. Die anschließende Berechnung der ELF gab Hinweise auf die Bindungstopologie in den Verbindungen. Demnach ändert sich die Topologie der chemischen Bindung mit dem konstituierenden Hauptgruppenmetall und alle bindenden Wechselwirkungen in den Verbindungen besitzen kovalenten Charakter. Zusätzlich wurden anhand von Frozen-Phonon-Berechnungen mittels LAPW-Berechnungen die Schwingungsfrequenzen der Raman-aktiven Moden der Verbindungen TiSb2, VSb2 und CuAl2 ermittelt, wodurch die experimentelle Symmetriezuordnung bestätigt werden konnte. In Zusammenarbeit mit Herrn Dr. A. Yaresko (Max-Planck-Institut für Physik komplexer Systeme, Dresden) wurden die Hall-Tensor-Komponenten der Verbindungen berechnet. Aus der großen Anzahl an Daten über die Verbindungen wurden anschließend Modelle der chemischen Bindung erstellt. Zunächst wurde anhand der Bindungs-Topologie aus den ELF-Berechnungen der Ort der partiell kovalenten Bindungen im Realraum erfasst. Basierend auf dieser Bindungstopologie wurden mit Hilfe von Kraftkonstanten-Modellen die Bindungsstärken auf der Grundlage der Raman-Daten ermittelt. Die erhaltenen Modelle wurden aufgrund von berechneten Phononen-Dispersions-Diagrammen auf ihre mechanische Stabilität hin überprüft. Die experimentellen Bindungsordnungen der verschiedenen Bindungen wurden durch Vergleich mit spektroskopischen Daten von überwiegend metallorganischen Verbindungen aus der Literatur ermittelt. Abschließend wurde die Art der chemischen Bindung aufgrund der ELF-Berechnungen, relativen Raman-Intensitäten und Daten aus der Literatur über Mößbauer- und NMR-Untersuchungen sowie den Eigenschaften der Verbindungen abgeleitet. Demnach herrscht die kovalente Bindung in diesen Verbindungen vor, zusätzlich sind jedoch freie Ladungsträger vorhanden, die für die elektrische Leitfähigkeit verantwortlich sind. Den Abschluss der Arbeit bildet ein Vergleich der verschiedenen Verbindungen hinsichtlich Topologie, Art und Stärke der chemischen Bindung und eine Weiterentwicklung der Strukturtheorie des CuAl2-Typs. Im Rahmen dieser Arbeit konnten wesentliche und neue Beiträge zum Verständnis der chemischen Bindung in intermetallischen Verbindungen mit der Struktur des CuAl2-Typs erarbeitet werden.
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Magnetische Anregungen und Achsenkonversion in NdCu2Kramp, Sirko 09 January 2001 (has links) (PDF)
Die Arbeit beinhaltet eine Untersuchung der magnetischen Anregungen in NdCu2 mittels inelastischer Neutronenstreuung. Die Zielsetzung besteht darin, die zur Beschreibung der magnetischen Eigenschaften notwendige Austauschwechselwirkung zu charakterisieren. Dazu wurden die Spinwellendispersionsrelationen in mehreren magnetischen Phasen gemessen (ferro-, ferri-, antiferromagnetisch; magnetische Momente parallel b). Die Lage der in der ferromagnetischen Phase F3 erwarteten zwei Dispersionszweige konnte vollständig bestimmt werden. Auffälligstes Merkmal ist ein ausgeprägtes Minimum an der Stelle q=(0.35,0,0), welches eine Energielücke im Anregungsspektrum definiert. Die Lage des Minimums fällt mit keinem der in NdCu2 beobachteten magnetischen Ordnungsvektoren zusammen, wodurch die starke magnetischen Anisotropie des Systems zum Ausdruck kommt. An die experimentell ermittelte Spinwellendispersion in der Phase F3 wurde ein MF-RPA-Modell angepaßt, welches einen Satz magnetischer Kopplungsparameter liefert. Durch Anwendung dieser Kopplungsparameter auf andere Verbindungen der RCu2-Reihe lassen sich Aussagen zum magnetischen Ordnungsprozeß in diesen Verbindungen machen. Werden die magnetischen Momente durch Anlegen eines starken Magnetfeldes in c-Richtung ausgerichtet, so läßt sich die Austauschkopplung innerhalb der ab-Ebene untersuchen. Die magnetischen Anregungen wurden bei µ0Hc=12T und T=2K gemessen. Das Minimum im Anregungsspektrum liegt jetzt bei q=(0.6,0,0) und damit im Bereich der magnetischen Ordnungsvektoren. Ein besonders interessantes Phänomen innerhalb der RCu2-Reihe ist die sogenannte Achsenkonversion. Mittels elastischer Neutronenstreuung konnte erstmals gezeigt werden, daß eine Achsenkonversion auch in RCu2-Verbindungen auftritt, in denen die leichte Magnetisierungsrichtung parallel zur orthorhombischen b-Achse liegt. In NdCu2 deuten starke magnetostriktive Effekte und das Zusammenbrechen eines Bragg-Reflexes bei µ0Hc=12.5T und T=2K auf einen strukturellen Phasenübergang hin. Im abnehmenden äußeren Magnetfeld relaxieren die strukturellen Änderungen bis zum Erreichen des Nullfeldes nicht. Nach der Konversion wurde zwischen µ0Hc=0T und 6T eine neue antiferromagnetische Phase beobachtet. Die Rückkonversion in den Ausgangszustand erfolgt durch Erwärmung der Probe auf T=130K.
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Hochfeld/Hochfrequenz-Elektronenspin-Resonanz an Übergangsmetallverbindungen mit starken elektronischen KorrelationenSchaufuß, Uwe 17 September 2009 (has links) (PDF)
Starke elektronische Korrelationen und die daraus resultierenden vielfältigen Phänomenen sind Gegenstand der modernen Festkörperphysik. Solche Korrelationen finden sich in den verschiedensten Systemen vom Isolator über die Halbleiter bis hin zu Metallen. In dieser Arbeit werden die durch Korrelationen hervorgerufenen Phänomene in zwei niederdimensionalen Übergangsmetalloxiden und zwei intermetallischen Verbindungen mithilfe der HF-ESR untersucht.
Die Elektronenspin-Resonanz (ESR) nutzt als lokale Messmethode den Spin der Elektronen als Sonde, um die magnetischen Eigenschaften im Umfeld des Elektrons und die Wechselwirkungen (WW) mit anderen Elektronen zu erforschen. Mit stärker werdenden Elektron-Elektron (EE)-Korrelationen kommt es (unter anderem) zu einer Verbreiterung der Resonanz, sodass, um die Resonanz zu beobachten, höhere
Frequenzen bzw. größere Felder als in kommerziellen ESR-Spektrometern erreichbar, nötig sind. Mit der in dieser Arbeit genutzten Hochfeld/Hochfrequenz-Elektronenspin-Resonanz (HF-ESR) mit einem frei durchstimmbaren Frequenzbereich von $\nu=\vu{20- 700}{GHz}$ kann speziellen Fragestellungen nachgegangen werden,
bei denen die Anregungsenergien im Bereich von $h\nu$ liegen oder Resonanz-Effekte bei hohen Felder beobachtet werden sollen.
CaCu$_2$O$_3$ zeigt die gleiche Kristallstruktur wie \chem{SrCu_2O_3}, einem Lehrbuchbeispiel für eine 2-beinige
Spin\textfrac{1}{2}-Leiter mit einem nichtmagnetischen Grundzustand und einer großen Spinlücke zum ersten angeregten Zustand. \chem{CaCu_2O_3} zeigt dagegen überraschenderweise einen antiferromagnetischen (AFM) Grundzustand mit einer relativ hohen Übergangstemperatur. Um der Ursache der AFM-Ordnung auf den
Grund zu gehen, wurde eine kombinierte Studie der Magnetisierung und der HF-ESR an einer Reihe von Zn-dotierten \chem{CaCu_2O_3} durchgeführt. Im Gegensatz zum Sr-Material sind die \chem{Cu_2O_3}-Leiter-Ebenen durch einen geringeren Sprossenwinkel leicht gewellt, desweiteren zeigt \chem{CaCu_2O_3} eine nichtstöchiometrische Zusammensetzung \chem{Ca_{1- x} Cu_{2+x}O_3}, mit einem Überschuss von Cu von $x\sim 0.16$ im nichtmagnetischen \chem{Cu^{1+}}-Zustand, welches auf Ca-Plätzen sitzt. Wir werden zeigen, dass (i) die Extra-Spins im undotierten Material \emph{nicht} in den Ketten sitzen, sondern auf regelmäßigen
Zwischengitterpositionen. Sie rekrutieren sich aus dem überschüssigen
\chem{Cu^{1+}}, dessen Position in der Nähe einer O-Fehlstelle instabil wird, sich verschiebt und den Zustand in ein magnetischen \chem{Cu^{2+}} ändert, (ii) dass durch die Position der Extra-Spins eine Kopplung übernächster Spin-Leitern zustande kommt, welche die Frustration der Spin-Leitern aufhebt und einen AFM-Grundzustand mit solch hoher Übergangstemperatur erlaubt und (iii) dass diese Position der Extra-Spins die zusätzliche schwache kommensurable Spinstruktur
erklären kann, die im AFM- Zustand neben der inkommensurablen Spinstruktur der Leiter-Spins beobachtet wurde.
Das einfach geschichtete Manganat \textbf{LaSrMnO$_4$} ist ein
zweidimensionaler Vertreter der Übergangsmetalloxide. In diesem Material gibt es starke Korrelationen zwischen dem orbitalen und dem magnetischen Freiheitsgrad, sodass die AFM-Ordnung unterhalb von $T_N\sim\vu{125}{K}$ mit einer ferro-orbitalen Ordnung der \chem{Mn^{3+}} $3d$-Orbitale einhergeht. Mithilfe der HF-ESR konnte die temperaturabhängige Mischung der $3d$-Orbitale direkt bestimmt und damit die Theorie der ferro-orbitalen Ordnung quantitativ bestätigt werden.
Im AFM geordneten Zustand, unterhalb von $T_\text{stat}\sim\vu{40}{K}<T_N$ wurde eine starke feldabhängige Reduktion der Mikrowellen-Transmission beobachtet, deren Frequenzabhängigkeit ein direkter Hinweis auf ferromagnetische (FM) Polaronen ist, die durch die WW von zusätzlichen Ladungsträgern mit den AFM-geordneten Grundspins entstehen.
GdNi$_2$B$_2$C Die intermetallische Verbindungen der Nickelborkarbide $R\chem{Ni_2B_2C}$ ($R$ - Seltene Erdmetalle) zogen seit der Entdeckung von Supraleitung in einigen dieser Verbindungen große Aufmerksamkeit auf sich. Sie zeigen hochkomplexe magnetische Phasendiagramme mit einem Wechselspiel zwischen Supraleitung und der damit konkurrierenden AFM-Ordnung mit unterschiedlichsten Spinstrukturen. Ein Grund für diese Komplexität ist die starke magnetische Anisotropie, die durch die Aufspaltung des $J$-Multipletts der $f$-Orbitale der $R$ im Kristallfeld hervorgerufen wird. Das nicht supraleitende \chem{GdNi_2B_2C} erhielt als Modell-System viel Aufmerksamkeit, da \chem{Gd^{3+}} mit einer halbgefüllten $4f$-Schale keine magnetische Anisotropie zeigen sollte. Die vorgestellte ESR-Studie an \chem{GdNi_2B_2C} wird jedoch zeigen, dass dieser vermeintlich reine Spinmagnet eine ungewöhnlich
starke magnetische Anisotropie besitzt, die sich auf die hochkomplexe
Bandstruktur zurückführen lässt. Das Einbeziehen dieser Resultate in die Modellierung des Systems wird helfen, die Abweichungen zwischen Modell und Realität zu erklären.
YbRh$_2$Si$_2$ In diesem schwere-Fermionen-System, indem die
magnetischen Yb ($4f$) ein regelmäßiges Kondo-Gitter aufbauen, konkurrieren die EE-WW und die Ruderman-Kittel-Kasuya-Yosida-(RKKY)-WW miteinander, sodass in diesem Material durch die Veränderung eines angelegten Magnetfelds $B$ und der Temperatur $T$ der Zustand von einer AFM-Ordnung, zu einem (paramagnetischen) Schweres-Fermion- (LFL) bzw. Nicht-LFL-Verhalten (NFL) eingestellt werden kann. Unterhalb der Kondo-Temperatur führt eine starke Hybridisierung von $4f$-Elektronen mit Leitungselektronen zu einer deutlichen Verbreiterung der ansonsten atomar-scharfen $4f$-Zustände, sodass die Entwicklung einer schmalen Elektronen-Spin-Resonanz im Kondo-Zustand von \chem{YbRh_2Si_2} sehr überraschend war. Da die bisher veröffentlichten ESR-Messungen vollständig im NFL-Bereich lagen, werden in dieser Arbeit HF-ESR-Daten vorgestellt, die einen tieferen Einblick in die Physik dieser Resonanz erlauben, da sie einen $B-T$-Bereich abdecken, in dem ein Übergang zum LFL-Bereich stattfindet. Die gemessenen $B$- und $T$-Abhängigkeiten der ESR-Parameter im NFL- und im LFL-Bereich weisen darauf hin, dass das Resonanz-Phänomen in \chem{YbRh_2Si_2} als Resonanz schwerer Fermionen betrachtet werden muss. / Strong electronic correlation and the resultant phenomena are object of interest in the modern solid state physics. Such correlation can be found in totally different systems from insulators and semiconductors to metals. This thesis
presents HF-ESR studies of such phenomena in two low dimensional transition metal oxides and two intermetallic compounds.
In ESR the electron spin is used as a local probe to measure the interaction between electrons and the magnetic properties nearby. With increasing electron-electron (EE) interaction the resonance becomes broader, so higher frequencies and higher magnetic fields as usual in commercial available ESR devices are needed to study strong EE interactions. With the used HF-ESR device with a frequency range $\nu=\vu{20-700}{GHz}$ special questions can be investigated where the excitation energies are in the order of $h\nu$ or the resonance effects in high magnetic fields can be explored.
\textbf{CaCu$_2$O$_3$} have the same crystal structure as \chem{SrCu_2O_3}, a textbook example for a 2-leg spin-\textfrac{1}{2}-ladder with a nonmagnetic groundstate and a spin gap separating the excited state. Surprisingly
\chem{CaCu_2O_3} shows an antiferromagnetic (afm) ground state with a relatively high transition temperature. To get a deeper insight in the unexpected afm ordering a combined magnetization and HF-ESR study was performed on a set of
Zn-doped \chem{CaCu_2O_3} samples. Contrary to the Sr-compound in \chem{CaCu_2O_3} the \chem{Cu_2O_3}-ladder-layers are buckled due to a reduced rung angle. Furthermore it is a nonstoichiometric compound \chem{Ca_{1- x} Cu_{2+x}O_{3-
\delta}}, with an excess of Cu in the order of $x\sim 0.16$ which is in the nonmagnetic \chem{Cu^{1+}}-state, sitting close to Ca-sites and a deficiency of oxygen $\delta\sim 0.07$. With this study one can show that (i) in the undoped
compound the extra-spins, responsible for the magnetic Curie-Weiss-behavior, do not sit in the chains, they are sitting on low-symmetry interstitial sites. They recruit themselves from excess \chem{Cu^{1+}}, where the position becomes unstable
close to a O-vacancy so they shift to a interstitial site and become \chem{Cu^{2+}}, (ii) the interstitial site of the extra-spins couple n.n. ladders inside a layer with a direct afm exchange path which lifts the frustration of the spin-ladders so that a afm order with such a high ordering temperature can happen and (iii) the regular interstitial site of the extra-spins explains the weak commensurate spin structure additionally found to the incommensurate spin structure of the ladder-spins in the afm ordered state
The single layered manganate \textbf{LaSrMnO$_4$} is a two dimensional member of the transition metal oxides. In this compound a strong correlation between the orbital and magnetic degree of freedom can be found, so that the afm ordering below $T_N\sim\vu{125}{K}$ comes along with a ferro-orbital ordering of the \chem{Mn^{3+}} $3d$-Orbitals. With HF-ESR we have measured the temperature dependent mixing of the $3d$-orbitals and proved quantitatively the theory of ferro-orbital ordering.
In the afm ordered state below $T_\text{stat}\sim\vu{40}{K}<T_N$ a strong field dependent decrease of the microwave transmission was observed. The frequency dependence of this phenomena could be explained by ferromagnetic polarons
resulting from the interaction of additional charge carriers with the afm ordered spins.
\textbf{GdNi$_2$B$_2$C} The intermetallic borocarbides $R\chem{Ni_2B_2C}$ ($R$ - rare earth metal) attract much attention due to the mutual interaction of superconductivity and afm ordering with complex phase diagrams. One reason for this complexity is the strong magnetic anisotropy coming from the splitting of the $J$-multiplets of the $R$'s $f$-orbitals in
the crystal field. The nonsuperconducting \chem{GdNi_2B_2C} was widely explored because \chem{Gd^{3+}} with a half filled $4f$-shell should show no anisotropic behavior. The HF-ESR study on this system showed, that the assumed pure spin magnet have a uncommonly strong anisotropy which could be ascribed to a highly complex band structure. Involving this new information will help to adjust the model to the reality.
YbRh$_2$Si$_2$ In this heavy fermion system where the magnetic Yb ($4f$) built up a regular Kondo-lattice here is a competition between electron-electron- and the Ruderman-Kittel-Kasuya-Yosida-(RKKY) interaction.
Thats why in this compound a afm ordered state, a (paramagnetic) heavy fermion (LFL) and a non-Fermi-liquid behavior can be established by changing the magnetic field $B$ and/or the temperature $T$. Below the Kondo-temperature $T^*$ a strong hybridization between the conduction electrons and the $4f$-electrons leads to a strong broadening of the otherwise atomic sharp $4f$-states. Thats why the observation of a small electron spin resonance below $T^*$ was very surprising. Because the yet published ESR-measurements are fully in the NFL-state, we performed HF-ESR measurements to study a $B-T$ area where a NFL-LFL crossover appears to get a deeper inside of the physics behind this resonance. The behavior of the measured $T$- and $B$-dependences indicate that this resonance phenomena in \chem{YbRh_2Si_2} is a resonance of heavy fermions.
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Ferromagnetische Korrelationen in Kondo-Gittern: YbT2Si2 und CeTPO (T = Übergangsmetall)Krellner, Cornelius 02 November 2009 (has links) (PDF)
Im Rahmen dieser Arbeit wurden die Kondo-Gitter YbT2Si2 (T = Rh, Ir, Co) und CeTPO (T = Ru, Os, Fe, Co) untersucht. In diesen Systemen treten starke ferromagnetische Korrelationen der 4f-Momente zusammen mit ausgeprägter Kondo-Wechselwirkung auf, deren theoretische Beschreibung bislang sehr kontrovers diskutiert wird. Diese Arbeit liefert damit einen essentiellen experimentellen Beitrag zur Physik von ferromagnetischen Kondo-Gittern. So konnten qualitativ hochwertige Einkristalle von YbRh2Si2 hergestellt und erstmalig an einem Schwere-Fermion-System deren kritische Fluktuationen um den magnetischen Phasenübergang analysiert werden. Weiterhin konnte das bis dahin unverstandene Auftreten einer Elektron-Spin-Resonanz (ESR)-Linie in YbT2Si2 auf ferromagnetische Korrelationen zurückgeführt werden. Außerdem wurde mit CeFePO ein neues Schwere-Fermion-System mit starken ferromagnetischen Korrelationen entdeckt sowie mit dem isoelektronischen CeRuPO der seltene Fall eines ferromagnetisch geordneten Kondo-Gitters realisiert. / Within the context of this thesis the Kondo lattices YbT2Si2 (T = Rh, Ir, Co) and CeTPO (T = Ru, Os, Fe, Co) were investigated. In these systems strong ferromagnetic correlations of the 4f-moments together with pronounced Kondo interactions are present, whose theoretical description are pres-ently controversial discussed. Therefore, this work gives an essential experimental contribution to the physics of ferromagnetic Kondo lattices. The main results include the growth of high-quality single crystals of YbRh2Si2 and the first analysis of the critical fluctuations around the magnetic phase transition in a heavy fermion system. Furthermore, the unexpected observation of an electron spin resonance in YbT2Si2 could be ascribed to ferromagnetic correlations. Moreover, a new heavy fermion system CeFePO with strong ferromagnetic correlations was found and with the isoelec-tronic CeRuPO the rare case of a ferromagnetic Kondo-lattice discovered.
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Predicting heat capacity and experimental investigations in the Al-Fe and Al-Fe-Si systems as part of the CALPHAD-type assessment of the Al-Fe-Mg-Si systemZienert, Tilo 10 August 2018 (has links)
The aim of this work was to improve the heat capacity estimation of a material for usage within a CALPHAD-type assessment. An algorithm is derived that estimates the trend of heat capacity with temperature based on zero Kelvin properties and the thermal expansion coefficient at the Debye temperature. The algorithm predicts not only the trend of heat capacity but also the temperature trend of the volume and the bulk modulus, which can be also included in new thermodynamic databases. The algorithm is used to assess thermophysical properties of the intermetallic phases eta (Fe2Al5), epsilon~(Fe5Al8) and tau4 (FeAl3Si2).
The heat capacity of the intermetallic phases zeta, eta, theta and epsilon of the Al-Fe system and of tau4 of the Al-Fe-Si system was measured using DSC. For the phases zeta, eta, and theta, a non-linearly increasing heat capacity approaching the melting temperature was observed. In addition, the heat capacity of three bcc-based Al-Fe samples including the B2-->A2 transition were determined.
The Al-rich section of the Al-Fe phase diagram was studied using DTA and quenching experiments. The homogeneity ranges of the intermetallic phases were determined using SEM/WDS measurements.
Based on own and literature values, a thermodynamic description of the Al-Fe system was assessed including the modelling of A2/B2 ordering and the homogeneity range of all intermetallic phases. In addition, thermodynamic parameters of the Al-Fe-Si, Al-Fe-Mg, and the Fe-Mg-Si system were assessed to obtain a thermodynamic description of the Al-rich side of the Al-Fe-Si-Mg system, which can be used to study phase transitions of typical A356-aluminium alloys.
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