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Die vorliegende Arbeit beschaeftigt sich mit dem strukturellen Aufbau von (1-100) M-plane GaN, das mit plasmaunterstuetzter Molekularstrahlepitaxie auf gamma-LiAlO2(100) Substraten gewachsen wurde. Die heteroepitaktische Ausrichtung einerseits, sowie die Mikrostruktur und die Erzeugungsmechanismen der Defekte andererseits, wurde mit der Transmissionselektronenemikroskopie (TEM) systematisch untersucht. Das gamma-LiAlO2 Substrat reagiert heftig im Mikroskop unter Bestrahlung mit hochenergetischen Elektronen. Waehrend dieser Strahlenschaedigung verliert das Material seine urspruengliche kristalline Struktur und vollzieht eine Phasentransformation, die anhand einer Serie von Feinbereichsbeugungsdiagrammen nachgewiesen werden konnte. Die atomare Grenzflaechenstruktur zwischen epitaktisch gewachsenem alpha-GaN(1-100) und tetragonalem gamma-LiAlO2 Substrat ist mittels HRTEM untersucht worden. Die neuartige Epitaxiebeziehung ist mit Elektronenbeugung bestaetigt worden und lautet folgendermassen: (1-100)GaN liegt parallel zu (100)gamma-LiAlO2 und [11-20]GaN ist parallel zu [001]gamma-LiAlO2. Die Realstruktur der M-plane GaN Schichten, die auf (100)gamma-LiAlO2 gewachsen werden, unterscheidet sich erheblich von der in C-plane Orientierung hergestellten Epischichten. Ausfuehrliche TEM Untersuchungen zeigen, dass die M-plane Schichten vor allem intrinsische (I1 und I2) und extrinsische (E) Stapelfehler in der Basalebene enthalten. Der vorherrschende I2 Stapelfehler besitzt keine Komponente des Verschiebungsvektors senkrecht zur Ebene und ist damit nicht geeignet, epitaktische Dehnung entlang der [11-20] Richtung abzubauen. Darueberhinaus ist eine komplexe Grenze in der (10-10) Prismen- flaeche entdeckt worden, die zur Grenzflaeche geneigt verlaeuft. Die Defekte in den M-plane GaN Epischichten werden waehrend der anfaenglichen Keimbildungsphase erzeugt. Atomare Stufen entlang der [001] Richtung auf dem LiAlO2 Substrat fuehren zur Bildung von Stapelfehlern vom Typ I2. / In this work the structure of (1-100)M-plane GaN epitaxially grown on gamma-LiAlO2(100) by using plasmaassisted molecular beam epitaxy (PAMBE) is studied. The heteroepitaxial alignment and the microstructure of M-plane GaN as well as the defect formation in the layer are systematically investigated by using transmission electron microscopy (TEM). The gamma-LiALO2 substrate reacts under irradiation of high-energy electrons in the TEM (200-300 keV).The material looses its original crystalline structure during this process undergoing irradiation damage followed by a phase transformation as it is verified by a series of selected area diffraction patterns taken under constant electron dose. The result is a structural phase transformation from the tetragonal gamma to the trigonal alpha phase. The atomic interface structure of epitaxially grown hexagonal alpha-GaN(1-100) layers on tetragonal gamma-LiAlO2 (100) substrates is investigated by means of HRTEM. The novel epitaxial orientation relationship verified by electron diffraction is given by (1-100)GaN parallel to (100)gamma-LiAlO2 and [11-20]GaN parallel to [001]gamma-LiAlO2. The defect structure of M-plane GaN epilayers grown on gamma-LiAlO2(100) substrates is different to that of C-plane GaN. Our detailed TEM studies reveal that the M-plane layers mainly contain intrinsic I1 and I2 and extrinsic E basal plane stacking faults. The dominant I2 stacking fault has no out-of-plane displacement vector component and is thus not qualified for epitaxial strain relief along the [11-20] axis. Beyond this, a complex type of planar defect is detected in the (10-10) prism plane which is inclined with respect to the interface. The study of nucleation samples shows that the surface morphology is directly correlated to the generation of the dominant planar defects. Atomic steps along the [001] direction in the gamma-LiAlO2 substrate result in the formation of basal plane stacking faults I2.

Plastic deformation of metals and alloys are invariably accompanied by the development of texture. The origin of texture is attributed to the deformation micro-mechanisms associated with processing. The face-centered cubic (FCC) metals and alloys are known to exhibit two distinct types of textures when subjected to large strain rolling deformation, namely, (i) Cu-type texture, commonly seen in high/medium stacking fault energy (SFE) materials, (ii) Bs-type texture in low SFE materials. The circumstances that could result in the formation of Bs-type texture in low SFE materials still remains an open question and no definite mechanism has been uniquely agreed upon. Apart from the SFE, grain size could also influence the deformation mechanism and hence the deformation texture. It is well known that in materials with grain sizes less than 100 nm (referred to as nano-crystalline materials), the microstructures contain large fraction of grain boundaries. This subsequently introduces a variety of deformation mechanisms in the microstructure involving grain boundary-mediated processes such as grain boundary sliding and grain rotation, in addition to slip and twinning. A clear understanding of texture evolution in nano-crystalline materials, particularly at large strains, is a topic that remains largely unexplored. The present work is an attempt to address the aforementioned issues pertaining to the evolution of deformation texture, namely, (i) the effect of SFE and (ii) the effect of grain size, in FCC metals and alloys. Nickel-cobalt alloys are chosen as the model system for the present investigation. The addition of cobalt to nickel leads to a systematic reduction of SFE as a function of cobalt content. In this thesis, three alloys of Ni-Co system have been considered, namely, nickel – 20 wt.% cobalt, nickel – 40 wt.% cobalt and nickel – 60 wt.% cobalt. For a comparison, pure nickel has also been subjected to similar study. Chapter 1 of the thesis presents a detailed survey of literature pertaining to the evolution of rolling textures in FCC metals and alloys, and chapter 2 includes the details of the experimental techniques and characterization procedures, which are commonly employed for the entire work. Chapter 3 addresses the effect of stacking fault energy on the evolution of rolling texture. The materials subjected to study in this chapter are microcrystalline Ni-Co alloys. The texture evolution in Ni-20Co is very similar to pure Ni, and a characteristic Cu-type rolling texture is observed. The evolution of texture in these materials is primarily attributed to the intense dislocation activity throughout the deformation stages. In Ni-40Co, a medium SFE material, the rolling texture was predominantly Cu-type up to a strain of ε = 3 (95% thickness reduction). However, beyond this strain level, namely at ε = 4 (98%), the texture gets transformed to Bs-type with orientations maxima predominantly close to Goss ({110} <001>) position. Simultaneously, the Cu component which was dominant until 95% reduction has completely disappeared. The analysis of microstructures indicate that deformation is mostly accommodated by dislocation slip up to 95%, however, at ε > 3, Cu-type shear bands get initiated, preferably in the Cu-oriented ({112} <111>) grains. The sub-grains within the shear bands show preferred orientation towards Goss, which indicates that the Cu component should have undergone transformation and resulted in high fraction of Goss component. In Ni-60Co alloy, Bs-type texture forms in the early stages of deformation (ε ~ 0.5) itself and further deformation results in strengthening of the texture with an important difference that the maximum in orientation distribution has been observed at a location close to Goss component, rather than at exact Bs-location. The development of Bs-type texture is accompanied by the complete absence of Cu and S components. Extensive EBSD analyses show that the deformation twinning gets initiated beyond 10% reduction and was found extensively in most of the grains up to 50% reduction. At higher strains, tendency for twinning ceases and extensive shear banding is observed. A non-random distribution of orientations close to Goss orientation was found within the shear bands. The near-Goss component in the Ni-60Co alloy can be explained on the basis of deformation twinning and shear banding. Thus, a reasonable understanding of the deformation texture transition in the extreme SFE range has been developed. In chapter 4, the effect of fine grain size on the evolution of rolling texture has been addressed. Nanocrystalline (nc) nickel-cobalt alloys with a mean grain size of ~20 nm have been prepared by pulse electro-deposition method. For a comparison, nc Nickel (without cobalt) with similar grain size has also been deposited. For all the materials, a weakening of the initial fiber texture is observed in the early stage of room temperature rolling (ε ~ 0.22). A combination of equiaxed grain microstructure and texture weakening suggests grain boundary sliding as an operative mechanism in the early stage of rolling. At large strain (ε = 1.2), Ni-20Co develops a Cu-type texture with high fractions of S and Cu components, similar to pure Ni. The texture evolution in Ni-40Co and Ni-60Co alloys is more towards Bs-type. However, the texture maximum occurs at a location 10° away from the Goss. The evolution of Cu and S components in nc Ni-60Co alloy takes place simultaneously along with the α-fiber components during rolling. Microstructural investigation by TEM indicates deformation twinning to be more active in all the materials up to 40% reduction. However, no correlation could be drawn between the texture evolution and the density of twins. The deformation of nc Ni-20Co alloy, is also accompanied by significant grain growth at all the stages of rolling. The increase in grain size, subsequently, renders the texture to be of Cu-type. However, Ni-40Co and Ni-60Co alloys show high grain stability. The absence of strain heterogeneities such as shear bands, and the lack of significant fraction of deformation twins indicate that the observed Bs-type texture could be due to planar slip. The increase in deformation beyond 70% reduction caused a modest reduction in the intensity of deformation texture. The microstructural observation indicates the occurrence of restoration mechanisms such as recovery/ recrystallization at large strains. The overall findings of the investigation have been summarized in chapter 5. The deformation mechanism maps relating stacking fault energy with amount of strain and with grain size are proposed for micro- and nano- crystalline materials respectively.

In this work we study the interesting physics of the rare earths, and the microscopic state after ultrafast magnetization dynamics in iron. Moreover, this work covers the development, examination and application of several methods used in solid state physics. The first and the last part are related to strongly correlated electrons. The second part is related to the field of ultrafast magnetization dynamics. In the first part we apply density functional theory plus dynamical mean field theory within the Hubbard I approximation to describe the interesting physics of the rare-earth metals. These elements are characterized by the localized nature of the 4f electrons and the itinerant character of the other valence electrons. We calculate a wide range of properties of the rare-earth metals and find a good correspondence with experimental data. We argue that this theory can be the basis of future investigations addressing rare-earth based materials in general. In the second part of this thesis we develop a model, based on statistical arguments, to predict the microscopic state after ultrafast magnetization dynamics in iron. We predict that the microscopic state after ultrafast demagnetization is qualitatively different from the state after ultrafast increase of magnetization. This prediction is supported by previously published spectra obtained in magneto-optical experiments. Our model makes it possible to compare the measured data to results that are calculated from microscopic properties. We also investigate the relation between the magnetic asymmetry and the magnetization. In the last part of this work we examine several methods of analytic continuation that are used in many-body physics to obtain physical quantities on real energies from either imaginary time or Matsubara frequency data. In particular, we improve the Padé approximant method of analytic continuation. We compare the reliability and performance of this and other methods for both one and two-particle Green's functions. We also investigate the advantages of implementing a method of analytic continuation based on stochastic sampling on a graphics processing unit (GPU).

FCC組織を有する純金属と合金において強ひずみ加工法の1つである側方押出し加工（ECAP）法を用いて超微細結晶材を作製し，ECAPの各段階における力学特性と微細組織を調査した．微細組織形成過程におけるセル壁の形成から結晶粒界の形成に着目し，積層欠陥エネルギーと固溶原子による固溶強化の効果の観点から，強ひずみ加工における加工硬化ステージの推移と微細組織形成の関係を議論した. / 博士(工学) / Doctor of Philosophy in Engineering / 同志社大学 / Doshisha University

Die Arbeit beschäftigt sich mit zerstörungsfreien Untersuchungen von Kristalldefekten an kompakten Proben mittels röntgenographischer Kossel- u. Weitwinkel-Mikrobeugung im Rasterelektronenmikroskop. Das REM wurde durch ein neu entwickeltes Aufnahmeverfahren so erweitert, daß die äußerst intensitätsschwachen Kossel-Röntgeninterferenzen mittels Phosphorszintillator und hochauflösendem, extrem empfindlichen CCD-Flächendetektor registriert werden können. Das aufwendige Röntgenfilmverfahren wurde damit abgelöst. Die Aufnahme-Techniken wurden so kombiniert, daß die sich gegenseitig ergänzenden Methoden, v.a. die Kossel- u. Pseudo-Kossel-, aber auch die Rückstreu-Elektronen-Beugung, erstmals mit einem einzigen CCD-System im REM ausführbar sind. Die Aufnahme von Kikuchi-Bändern wurde so weit verbessert, daß diese erstmalig bei vertikaler Inzidenz des Elektronenstrahls auf der Probe beobachtet werden konnten. Durch Einsatz einer fokussierenden Polykapillarlinse in einem Röntgenfluoreszenzspektrometer konnte die Anregung von Kossel-Linien durch Bremsstrahlung und erheblich kürzere Belichtungszeiten sowie deutlich höhere laterale Auflösungen erzielt werden. Für die komplementären Mikrobeugungsmethoden wurde ein einheitliches Programm entwickelt, dessen neue Art der Simulation komplizierter Weitwinkel-Kurven 4. Ordnung die Lokalisierung von Gitterbaufehlern im kompakten Kristall ermöglichte. Entsprechende Simulationen und Verfeinerungen der Kanüle erlaubten in feinkörnigen Polykristallen, wie Bariumtitanat, eine Einzelkornanalyse mit der Weitwinkel-Beugung. Insbesondere wurden markante Erhöhungen der Versetzungsdichte nahe der Korngrenze einzelner Kristallite in FeAl festgestellt. An intermetallischen Fe-Al-Verbindungen wurden in Weitwinkel-Kurven Feinstrukturen gefunden, die sich durch Umweganregungen in Zusammenhang mit Überstrukturen erklären lassen. An zugverformten Ni-Kristallen wurden Kossel- u. Weitwinkel-Linienbreiten in Abhängigkeit des Azimuts im symmetrischen Bragg-Fall ausgewertet u. mit theoretischen Modellen verglichen. Anisotrope Linienverbreiterungen durch die Wirkung von Stufenversetzungen konnten quantitativ nachgewiesen werden. Erste Kossel- u. Weitwinkel-Untersuchungen an zyklisch verformten Ni-Einkristallen zeigten, daß beobachtete perlenkettenförmige Intensitätsanhäufungen an Weitwinkelreflexen die Konfiguration von Versetzungswänden aus Stufenversetzungsdipolen im Kristallvolumen widerspiegeln. Erstmals konnte der Einfluß von Stapelfehlern auf Weitwinkel-Linien, der sich durch linsenförmige Intensitätsaufspaltungen zeigte, experimentell nachgewiesen, theoretisch erklärt und quantitativ bestimmt werden. / The thesis deals with the nondestructive investigation of crystal defects by X-ray Kossel and Pseudo Kossel microdiffraction on compact specimens in the scanning electron microscope. The SEM was extended by means of a newly developed detection method in such a way that X-ray Kossel interferences, which are extremely faint in intensity, can be observed by a phosphor scintillator as well as a high resolution and ultra-sensitive CCD area detector. The demanding X-ray film method was thus replaced. The observation techniques were combined so that the mutually complementary methods, above all the Kossel and Pseudo Kossel, but also the electron backscattered diffraction, are made possible for the first time by using just one CCD system in the SEM. The detection of Kikuchi bands was improved to such a degree that these could be recorded even at vertical incidence of the electron beam on the specimen for the first time. It was shown that the lateral resolution of the Kossel technique under polychromatic X-ray tube excitation could be enhanced considerably and the exposure times strongly reduced by using a polycapillary lens in an X-ray fluorescence spectrometer. For the complementary microdiffraction methods a homogeneous simulation program was developed, whose novel way of simulating the complicated Pseudo Kossel curves of the fourth order enable the lattice defect localization in compact crystals. The corresponding simulations and refinements of the target tube allowed a single grain analysis also in fine-grained polycrystals like barium titanate with Pseudo Kossel X-ray diffraction. Particularly, a marked increase of the dislocation density was ascertained near the grain boundary of individual crystallites in FeAl. At intermetallic Fe-Al compounds Pseudo Kossel curves fine structures were found, which can be explained by umweg (detour) excitations in relation to superstructures. Kossel and Pseudo Kossel line widths were analyzed in dependence on the azimuth and compared with theoretical models at tensile deformed Ni-crystals in the symmetrical Bragg case. Anisotropic line broadenings through the effect of edge dislocations could be proved quantitatively. Conclusions could be drawn from the initial Kossel and Pseudo Kossel investigations of cyclically deformed nickel crystals with respect to the observed pearl-necklace-like intensity thickening at Pseudo Kossel lines reflecting the strong local variations of the dislocation density and, thus, the configuration of dislocation walls of edge dislocation dipoles inside the crystalline volume. For the first time, the effect of stacking faults on Pseudo Kossel reflections appearing by lens-shaped intensity splittings could be proved experimentally, explained theoretically and determined quantitatively.

Die Arbeit beschäftigt sich mit zerstörungsfreien Untersuchungen von Kristalldefekten an kompakten Proben mittels röntgenographischer Kossel- u. Weitwinkel-Mikrobeugung im Rasterelektronenmikroskop. Das REM wurde durch ein neu entwickeltes Aufnahmeverfahren so erweitert, daß die äußerst intensitätsschwachen Kossel-Röntgeninterferenzen mittels Phosphorszintillator und hochauflösendem, extrem empfindlichen CCD-Flächendetektor registriert werden können. Das aufwendige Röntgenfilmverfahren wurde damit abgelöst. Die Aufnahme-Techniken wurden so kombiniert, daß die sich gegenseitig ergänzenden Methoden, v.a. die Kossel- u. Pseudo-Kossel-, aber auch die Rückstreu-Elektronen-Beugung, erstmals mit einem einzigen CCD-System im REM ausführbar sind. Die Aufnahme von Kikuchi-Bändern wurde so weit verbessert, daß diese erstmalig bei vertikaler Inzidenz des Elektronenstrahls auf der Probe beobachtet werden konnten. Durch Einsatz einer fokussierenden Polykapillarlinse in einem Röntgenfluoreszenzspektrometer konnte die Anregung von Kossel-Linien durch Bremsstrahlung und erheblich kürzere Belichtungszeiten sowie deutlich höhere laterale Auflösungen erzielt werden. Für die komplementären Mikrobeugungsmethoden wurde ein einheitliches Programm entwickelt, dessen neue Art der Simulation komplizierter Weitwinkel-Kurven 4. Ordnung die Lokalisierung von Gitterbaufehlern im kompakten Kristall ermöglichte. Entsprechende Simulationen und Verfeinerungen der Kanüle erlaubten in feinkörnigen Polykristallen, wie Bariumtitanat, eine Einzelkornanalyse mit der Weitwinkel-Beugung. Insbesondere wurden markante Erhöhungen der Versetzungsdichte nahe der Korngrenze einzelner Kristallite in FeAl festgestellt. An intermetallischen Fe-Al-Verbindungen wurden in Weitwinkel-Kurven Feinstrukturen gefunden, die sich durch Umweganregungen in Zusammenhang mit Überstrukturen erklären lassen. An zugverformten Ni-Kristallen wurden Kossel- u. Weitwinkel-Linienbreiten in Abhängigkeit des Azimuts im symmetrischen Bragg-Fall ausgewertet u. mit theoretischen Modellen verglichen. Anisotrope Linienverbreiterungen durch die Wirkung von Stufenversetzungen konnten quantitativ nachgewiesen werden. Erste Kossel- u. Weitwinkel-Untersuchungen an zyklisch verformten Ni-Einkristallen zeigten, daß beobachtete perlenkettenförmige Intensitätsanhäufungen an Weitwinkelreflexen die Konfiguration von Versetzungswänden aus Stufenversetzungsdipolen im Kristallvolumen widerspiegeln. Erstmals konnte der Einfluß von Stapelfehlern auf Weitwinkel-Linien, der sich durch linsenförmige Intensitätsaufspaltungen zeigte, experimentell nachgewiesen, theoretisch erklärt und quantitativ bestimmt werden. / The thesis deals with the nondestructive investigation of crystal defects by X-ray Kossel and Pseudo Kossel microdiffraction on compact specimens in the scanning electron microscope. The SEM was extended by means of a newly developed detection method in such a way that X-ray Kossel interferences, which are extremely faint in intensity, can be observed by a phosphor scintillator as well as a high resolution and ultra-sensitive CCD area detector. The demanding X-ray film method was thus replaced. The observation techniques were combined so that the mutually complementary methods, above all the Kossel and Pseudo Kossel, but also the electron backscattered diffraction, are made possible for the first time by using just one CCD system in the SEM. The detection of Kikuchi bands was improved to such a degree that these could be recorded even at vertical incidence of the electron beam on the specimen for the first time. It was shown that the lateral resolution of the Kossel technique under polychromatic X-ray tube excitation could be enhanced considerably and the exposure times strongly reduced by using a polycapillary lens in an X-ray fluorescence spectrometer. For the complementary microdiffraction methods a homogeneous simulation program was developed, whose novel way of simulating the complicated Pseudo Kossel curves of the fourth order enable the lattice defect localization in compact crystals. The corresponding simulations and refinements of the target tube allowed a single grain analysis also in fine-grained polycrystals like barium titanate with Pseudo Kossel X-ray diffraction. Particularly, a marked increase of the dislocation density was ascertained near the grain boundary of individual crystallites in FeAl. At intermetallic Fe-Al compounds Pseudo Kossel curves fine structures were found, which can be explained by umweg (detour) excitations in relation to superstructures. Kossel and Pseudo Kossel line widths were analyzed in dependence on the azimuth and compared with theoretical models at tensile deformed Ni-crystals in the symmetrical Bragg case. Anisotropic line broadenings through the effect of edge dislocations could be proved quantitatively. Conclusions could be drawn from the initial Kossel and Pseudo Kossel investigations of cyclically deformed nickel crystals with respect to the observed pearl-necklace-like intensity thickening at Pseudo Kossel lines reflecting the strong local variations of the dislocation density and, thus, the configuration of dislocation walls of edge dislocation dipoles inside the crystalline volume. For the first time, the effect of stacking faults on Pseudo Kossel reflections appearing by lens-shaped intensity splittings could be proved experimentally, explained theoretically and determined quantitatively.

<p>Co and Ni are two major elements in high temperature structural alloys that include superalloys for turbine engines and hard metals for cutting tools. The recent development of complex concentrated alloys (CCAs), loosely defined as alloys without a single principal element (e.g. CoNiFeMn), offers additional opportunities in designing new alloys through extensive composition and structure modifications. Within CCAs and Co- and Ni-based superalloys, solid-solution strengthening and stacking fault energy engineering are two of the most important strengthening mechanisms. While studied for decades, the potency and quantitative materials properties of these mechanisms remain elusive. </p> <p><br></p> <p>Solid-solution strengthening originates from stress field interactions between dislocations and solute of various species in the alloy. These stress fields can be engineered by composition modification in CCAs, and therefore a wide range of alloys with promising mechanical strength may be designed. This thesis initially reports on experimental and computational validation of newly developed theories for solid-solution strengthening in 3d transition metal (MnFeCoNi) alloys. The strengthening effects of Al, Ti, V, Cr, Cu and Mo as alloying elements are quantified by coupling the Labusch-type strengthening model and experimental measurements. With large atomic misfits with the base alloy, Al, Ti, Mo, and Cr present strong strengthening effects comparable to other Cantor alloys. </p> <p> </p> <p>Stacking fault energy engineering can enable novel deformation mechanisms and exceptional strength in face-centered cubic (FCC) materials such as austenitic TRIP/TWIP steels and CoNi-based superalloys exhibiting local phase transformation strengthening via Suzuki segregation. We employed first-principles calculations to investigate the Suzuki segregation and stacking fault energy of the FCC Co-Ni binary alloys at finite temperatures and concentrations. We quantitatively predicted the Co segregation in the innermost plane of the intrinsic stacking fault (ISF). We further quantified the decrease of stacking fault energy due to segregation.  </p> <p><br></p> <p>We further investigated the driving force of segregation and the origin of the segregation behaviors of 3d, 4d and 5d elements in the Co- and Ni-alloys. Using first-principles calculations, we calculated the ground-state solute-ISF interaction energies and revealed the trends across the periodic table. We discussed the relationships between the interaction energies and the local lattice distortions, charge density redistribution, density of states and local magnetization of the solutes. </p> <p><br></p> <p>Finally, this thesis reports on new methodologies to accelerate first-principles calculations utilizing active learning techniques, such as Bayesian optimization, to efficiently search for the ground-state energy line of the system with limited computational resources. Based on the expected improvement method, new acquisition strategies were developed and will be compared and presented. </p>