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Item Open Access Phonon lifetimes throughout the Brillouin zone at elevated temperatures from experiment and ab Initio(2019) Glensk, Albert; Grabowski, Blazej; Hickel, Tilmann; Neugebauer, Jörg; Neuhaus, Jürgen; Hradil, Klaudia; Petry, Winfried; Leitner, MichaelWe obtain phonon lifetimes in aluminium by inelastic neutron scattering experiments, by ab initio molecular dynamics, and by perturbation theory. At elevated temperatures significant discrepancies are found between experiment and perturbation theory, which disappear when using molecular dynamics due to the inclusion of full anharmonicity and the correct treatment of the multiphonon background. We show that multiple-site interactions are small and that local pairwise anharmonicity dominates phonon-phonon interactions, which permits an efficient computation of phonon lifetimes.Item Open Access Ab initio based method to study structural phase transitions in dynamically unstable crystals, with new insights on the β to ω transformation in titanium(2019) Korbmacher, Dominique; Glensk, Albert; Duff, Andrew Ian; Finnis, Michael W.; Grabowski, Blazej; Neugebauer, JörgWe present an approach that enables an efficient and accurate study of dynamically unstable crystals over the full temperature range. The approach is based on an interatomic potential fitted to ab initio molecular dynamics energies for both the high- and low-temperature stable phases. We verify by comparison to explicit ab initio simulations that such a bespoke potential, for which we use here the functional form of the embedded atom method, provides accurate transformation temperatures and atomistic features of the transformation. The accuracy of the potential makes it an ideal tool to study the important impact of finite size and finite time effects. We apply our approach to the dynamically unstable β (bcc) titanium phase and study in detail the transformation to the low-temperature stable hexagonal ω phase. We find a large set of previously unreported linear-chain disordered (LCD) structures made up of three types of [111]β linear-chain defects that exhibit randomly disordered arrangements in the (111)β plane.Item Open Access An insight into using DFT data for Calphad modeling of solid phases in the third generation of Calphad databases, a case study for Al(2019) Bigdeli, Sedigheh; Zhu, Li-Fang; Glensk, Albert; Grabowski, Blazej; Lindahl, Bonnie; Hickel, Tilmann; Selleby, MalinIn developing the next generation of Calphad databases, new models are used in which each term contributing to the Gibbs energy has a physical meaning. To continue the development, finite temperature density-functional- theory (DFT) results are used in the present work to discuss and suggest the most applicable and physically based model for Calphad assessments of solid phases above the melting point (the breakpoint for modeling the solid phase in previous assessments). These results are applied to investigate the properties of a solid in the super- heated temperature region and to replace the melting temperature as the breakpoint with a more physically based temperature, i.e., where the superheated solid collapses into the liquid. The advantages and limitations of such an approach are presented in terms of a new assessment for unary aluminum.Item Open Access Structural distortion stabilizing the antiferromagnetic and insulating ground state of NiO(2019) Krüger, EkkehardWe report evidence that the experimentally observed small deformation of antiferromagnetic NiO modifies the symmetry of the crystal in such a way that the antiferromagnetic state becomes an eigenstate of the electronic Hamiltonian. This deformation closely resembles a rhombohedral contraction, but does not possess the perfect symmetry of a trigonal (rhombohedral) space group. We determine the monoclinic base centered magnetic space group of the antiferromagnetic structure within the deformed crystal which is strongly influenced by the time-inversion symmetry of the Hamiltonian. The antiferromagnetic state is evidently stabilized by a nonadiabatic atomic-like motion of the electrons near the Fermi level. This atomic-like motion is characterized by the symmetry of the Bloch functions near the Fermi level and provides in NiO a perfect basis for a Mott insulator in the antiferromagnetic phase.Item Open Access Atom probe reconstruction with a locally varying tip shape(2019) Beinke, Daniel; Schmitz, Guido (Prof. Dr. Dr. h.c.)In this thesis, a new approach for the reconstruction of data taken from an atom probe tomography experiment is presented. The goal of the study is to develop an algorithm, which is able to overcome well-known drawbacks of the conventional reconstruction technique, mainly caused by local magnification effects. At the same time, the algorithm should be easy to use and also fast enough, so that it might be routinely used as an improved alternative to the established reconstruction technique. The idea is based on the already existing possibility to simulate an entire atom probe experiment on a realistic length. Since the successive calculation of ion trajectories starting at the emitter surface and hitting the detector after a flight of a few centimeters can be realized, the concept is designed to invert the field evaporation process by making use of this trajectory calculation. To this end, the detected emitter volume needs to be rebuilt from the bottom to the top, which is an important difference compared to the conventional technique. In a first test, this inversion of the simulated experiment is demonstrated for a few prominent example cases. The decisive criterion for the positioning of an atom at a specific lattice site on the current emitter surface is the accordance of the impact position of the corresponding calculated trajectory with the measured coordinates on the detector. For every possible surface position, first an ion trajectory is calculated and its detector impact position is compared to the measured impact position. Finally, the best-matching trajectory defines the reconstruction coordinates. The approach is performed for some prominent example emitter structures with strongly varying evaporation fields of the involved material, which is known for causing tremendous artifacts in the reconstruction derived by the standard technique. In this first attempt, the algorithm is restricted to a rigid lattice, which means that detected atoms can only be positioned at sites belonging to the former lattice of the emitter. In a second step, the restriction to a rigid lattice is dropped. In this way, the reconstruction algorithm describes a more realistic scenario, since the exact lattice structure and its orientation might be unknown in the majority of experiments. The possibilities and limitations of the approach are discussed. It is found that an additional criterion for the determination of the reconstruction coordinates is needed in this case, since the algorithm is very sensitive to the misplacement of atoms. The stability can be significantly improved by the consideration of an inter-atomic potential, which acts as a filter that exclusively allows surface sites with a sufficiently high amount of neighbor atoms. For a perfect detector efficiency the algorithm yields promising results, but a decrease of the efficiency towards realistic values gives rise to artifacts. As a consequence of these numerical experiments, a new concept has been developed, which neglects the consideration of exact ion trajectories in order to make the algorithm more stable and fast. This third approach assumes rotational symmetry for the investigated emitter volume. An absolutely new characteristic of the technique is the capability to extract the shape of a field emitter directly from the observed pattern of ion impacts on the detector. This feature is a very important difference to the conventional technique, which assumes a constant spherical emitter shape. To the best of the authors knowledge, such a technique with this capability did not exist before. The promising features are demonstrated for several simulated but nevertheless realistic emitter structures. The improved quality of the reconstruction that can be achieved by the application of the here developed technique is shown by direct comparison to the result of the established reconstruction approach. The impressive benefits are illustrated for relevant emitter structures containing either precipitates or layers of different materials with strongly varying evaporation fields (44% or 56% relative variation). In addition, a simple modification of the technique is described, which yields homogenized atomic densities in the reconstructed volumes. Without this modification, the emitter surface is treated like a rigid curved plane, which is shifted upwards with every reconstructed atom during reconstruction. Once the surface is no longer considered to be rigid, individual parts can be lifted separately, yielding a significantly homogenized atomic density. Finally, the new concept of shape extraction is extended for the application to arbitrary emitter structures. The main idea of extracting the information about the emitter shape from the local density of measured events on the detector is maintained. In order to extend the approach to the application to structures without rotational symmetry, a relation between the local density of events on the detector and the Gaussian curvature on the emitter surface is derived. With the help of an iterative finite difference method, the Gaussian curvature at several positions on the tip surface is set. Consequently, a reasonable description of the emitter surface can be obtained and the reconstruction of an arbitrary data set can be performed. The concept is tested and discussed for a simulated example emitter structure.Item Open Access Basal slip in laves phases: the synchroshear dislocation(2019) Guénolé, Julien; Mouhib, Fatim-Zahra; Huber, Liam; Grabowski, Blazej; Korte-Kerzel, SandraTwo different mechanisms have been reported in previous ab initio studies to describe basal slip in complex intermetallic Laves phases: synchroshear and undulating slip. To date, no clear answer has been given on which is the energetically favourable mechanism and whether either of them could effectively propagate as a dislocation. Using classical atomistic simulations supported by ab initio calculations, the present work removes the ambiguity and shows that the two mechanisms are, in fact, identical. Furthermore, we establish synchroshear as the mechanism for propagating dislocations within the basal plane in Laves phases.Item Open Access Ab initio phase stabilities and mechanical properties of multicomponent alloys: a comprehensive review for high entropy alloys and compositionally complex alloys(2019) Ikeda, Yuji; Grabowski, Blazej; Körmann, FritzMulticomponent alloys with multiple principal elements including high entropy alloys (HEAs) and compositionally complex alloys (CCAs) are attracting rapidly growing attention. The endless possibilities to explore new alloys and the hope for better combinations of materials properties have stimulated a remarkable number of research works in the last years. Most of these works have been based on experimental approaches, but ab initio calculations have emerged as a powerful approach that complements experiment and serves as a predictive tool for the identification and characterization of promising alloys. The theoretical ab initio modeling of phase stabilities and mechanical properties of multi-principal element alloys by means of density functional theory (DFT) is reviewed. A general thermodynamic framework is laid down that provides a bridge between the quantities accessible with DFT and the targeted thermodynamic and mechanical properties. It is shown how chemical disorder and various finite-temperature excitations can be modeled with DFT. Different concepts to study crystal and alloy phase stabilities, the impact of lattice distortions (a core effect of HEAs), magnetic transitions, and chemical short-range order are discussed along with specific examples. Strategies to study elastic properties, stacking fault energies, and their dependence on, e.g., temperature or alloy composition are illustrated. Finally, we provide an extensive compilation of multi-principal element alloys and various material properties studied with DFT so far (a set of over 500 alloy-property combinations).