11 resultados para Local electronic structures

em Universitätsbibliothek Kassel, Universität Kassel, Germany


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To study the complex formation of group 5 elements (Nb, Ta, Ha, and pseudoanalog Pa) in aqueous HCI solutions of medium and high concentrations the electronic structures of anionic complexes of these elements [MCl_6]^-, [MOCl_4]^-, [M(OH)-2 Cl_4]^-, and [MOCl_5]^2- have been calculated using the relativistic Dirac-Slater Discrete-Variational Method. The charge density distribution analysis has shown that tantalum occupies a specific position in the group and has the highest tendency to form the pure halide complex, [TaCl_6-. This fact along with a high covalency of this complex explains its good extractability into aliphatic amines. Niobium has equal trends to form pure halide [NbCl_6]^- and oxyhalide [NbOCl_5]^2- species at medium and high acid concentrations. Protactinium has a slight preference for the [PaOCl_5]^2- form or for the pure halide complexes with coordination number higher than 6 under these conditions. Element 105 at high HCl concentrations will have a preference to form oxyhalide anionic complex [HaOCl_5]^2- rather than [HaCl_6]^-. For the same sort of anionic oxychloride complexes an estimate has been done of their partition between the organic and aqueous phases in the extraction by aliphatic amines, which shows the following succession of the partition coefficients: P_Nb < P_Ha < P_Pa.

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A knowledge of the physical and chemical properties of superheavy elements is expected to be of great value for the detection of these elements, owing to the need for chemical separation in their isolation and identification. The methods for predicting their electronic structures, expected trends in their chemical and physical properties and the results of such predictions for the individual superheavy elements are reviewed. The periodic table is extended up to element 172.

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Electronic structures of MOCl_3 and MOBr_3 molecules, where M = V, Nb, Ta, Pa, and element 105, hahnium, have been calculated using the relativistic Dirac-Slater discrete variational method. The character of bonding has been analyzed using the Mulliken population analysis of the molecular orbitals. It was shown that hahnium oxytrihalides have similar properties to oxytrihalides of Nb and Ta and that hahnium has the highest tendency to form double bond with oxygen. Some peculiarities in the electronic structure of HaOCl_3 and HaOBr_3 result from relativistic effects. Volatilities of the oxytrihalides in comparison with the corresponding pentahalides were considered using results of the present calculations. Higher ionic character and lower covalency as well as the presence of dipole moments in MOX_3 (X = Cl, Br) molecules compared to analogous MX_5 ones are the factors contributing to their lower volatilities.

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In dieser Arbeit wurden elektronische Eigenschaften der sogenannten Spiroverbin-dungen untersucht, die aus zwei durch ein gemeinsames Spiro-Kohlenstoffatom miteinander verbundenen π-Systemen bestehen. Solche Untersuchungen sind notwendig, um die gezielte Synthese organischer Materialien mit bestimmten optischen, elektrischen, photoelektrischen oder magnetischen Eigenschaften zu ermöglichen. Im einzelnen wurden mit Hilfe der Cyclovoltammetrie, Square-Wave-Voltammetrie und Spektroelektrochemie eine Reihe homologer Spiro-p-oligophenyle, sowie symmetrisch und unsymmetrisch substituierte Spiroverbindungen und Spirocyclopentadithiophene unter-sucht. Dabei ergaben sich folgende Einflussfaktoren: Kettenlänge, verschiedene Substituenten (Trimethylsilyl, tert-Butyl, Fluor, Pyridyl, perfluoriertes Pyridyl, Dimethylamino-Gruppe), verschiedene Positionen der Substitution, Lage der Spiroverknüpfung und Art des π-Systems im Spirokern. Die elektronischen Eigenschaften der untersuchten Verbindungen variieren systema-tisch mit der Kettenlänge. So vermindert sich der Betrag der Redoxpotentiale der Spiroverbin-dungen mit Zunahme der Kettenlänge, während die Anzahl der übertragenen Elektronen mit zunehmender Kettenlänge wächst. Die Absorption der neutralen und geladenen Spezies ver-schiebt sich mit steigender Kettenlänge bathochrom. Der Substituenteneinfluss auf die Poten-tiallage hängt davon ab, welcher der Effekte +I, -I, +M, -M überwiegt; dabei spielt auch die Position der Substitution eine Rolle. Weiter lässt sich der Einfluss der Lage der Spiroverknüpfung auf die Redoxpotentiale mit der verschiedenen Coulomb-Abstoßung innerhalb oder/und zwischen Phenylketten bei symmetrisch und unsymmetrisch verknüpften Spiroverbindungen begründen. Schließlich wurden die Redoxmechanismen der untersuchten Spiroverbindungen er-mittelt. Die meisten Verbindungen werden zum Bis(radikalion) reduziert bzw. oxidiert (Me-chanismus A). Nur wenige Verbindungen werden nach Mechanismus B reduziert, in dem das Elektron unter Bildung eines Dianions in die schon einfach reduzierte Molekülhälfte über-geht. Die Unterschiede der Redoxpotentiale, der Lage der Absorption, des Reduktionsme-chanismus der Verbindungen mit unterschiedlichen Spirokernen (Spirobifluoren und Spiro-cyclopentadithiophen) konnten mit den unterschiedlichen elektronischen Strukturen von Phe-nyl- und Thiophenring (aromatisches und heteroaromatisches π System) erklärt werden.

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The structural, electronic and magnetic properties of one-dimensional 3d transition-metal (TM) monoatomic chains having linear, zigzag and ladder geometries are investigated in the frame-work of first-principles density-functional theory. The stability of long-range magnetic order along the nanowires is determined by computing the corresponding frozen-magnon dispersion relations as a function of the 'spin-wave' vector q. First, we show that the ground-state magnetic orders of V, Mn and Fe linear chains at the equilibrium interatomic distances are non-collinear (NC) spin-density waves (SDWs) with characteristic equilibrium wave vectors q that depend on the composition and interatomic distance. The electronic and magnetic properties of these novel spin-spiral structures are discussed from a local perspective by analyzing the spin-polarized electronic densities of states, the local magnetic moments and the spin-density distributions for representative values q. Second, we investigate the stability of NC spin arrangements in Fe zigzag chains and ladders. We find that the non-collinear SDWs are remarkably stable in the biatomic chains (square ladder), whereas ferromagnetic order (q =0) dominates in zigzag chains (triangular ladders). The different magnetic structures are interpreted in terms of the corresponding effective exchange interactions J(ij) between the local magnetic moments μ(i) and μ(j) at atoms i and j. The effective couplings are derived by fitting a classical Heisenberg model to the ab initio magnon dispersion relations. In addition they are analyzed in the framework of general magnetic phase diagrams having arbitrary first, second, and third nearest-neighbor (NN) interactions J(ij). The effect of external electric fields (EFs) on the stability of NC magnetic order has been quantified for representative monoatomic free-standing and deposited chains. We find that an external EF, which is applied perpendicular to the chains, favors non-collinear order in V chains, whereas it stabilizes the ferromagnetic (FM) order in Fe chains. Moreover, our calculations reveal a change in the magnetic order of V chains deposited on the Cu(110) surface in the presence of external EFs. In this case the NC spiral order, which was unstable in the absence of EF, becomes the most favorable one when perpendicular fields of the order of 0.1 V/Å are applied. As a final application of the theory we study the magnetic interactions within monoatomic TM chains deposited on graphene sheets. One observes that even weak chain substrate hybridizations can modify the magnetic order. Mn and Fe chains show incommensurable NC spin configurations. Remarkably, V chains show a transition from a spiral magnetic order in the freestanding geometry to FM order when they are deposited on a graphene sheet. Some TM-terminated zigzag graphene-nanoribbons, for example V and Fe terminated nanoribbons, also show NC spin configurations. Finally, the magnetic anisotropy energies (MAEs) of TM chains on graphene are investigated. It is shown that Co and Fe chains exhibit significant MAEs and orbital magnetic moments with in-plane easy magnetization axis. The remarkable changes in the magnetic properties of chains on graphene are correlated to charge transfers from the TMs to NN carbon atoms. Goals and limitations of this study and the resulting perspectives of future investigations are discussed.

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For the theoretical investigation of local phenomena (adsorption at surfaces, defects or impurities within a crystal, etc.) one can assume that the effects caused by the local disturbance are only limited to the neighbouring particles. With this model, that is well-known as cluster-approximation, an infinite system can be simulated by a much smaller segment of the surface (Cluster). The size of this segment varies strongly for different systems. Calculations to the convergence of bond distance and binding energy of an adsorbed aluminum atom on an Al(100)-surface showed that more than 100 atoms are necessary to get a sufficient description of surface properties. However with a full-quantummechanical approach these system sizes cannot be calculated because of the effort in computer memory and processor speed. Therefore we developed an embedding procedure for the simulation of surfaces and solids, where the whole system is partitioned in several parts which itsself are treated differently: the internal part (cluster), which is located near the place of the adsorbate, is calculated completely self-consistently and is embedded into an environment, whereas the influence of the environment on the cluster enters as an additional, external potential to the relativistic Kohn-Sham-equations. The basis of the procedure represents the density functional theory. However this means that the choice of the electronic density of the environment constitutes the quality of the embedding procedure. The environment density was modelled in three different ways: atomic densities; of a large prepended calculation without embedding transferred densities; bulk-densities (copied). The embedding procedure was tested on the atomic adsorptions of 'Al on Al(100) and Cu on Cu(100). The result was that if the environment is choices appropriately for the Al-system one needs only 9 embedded atoms to reproduce the results of exact slab-calculations. For the Cu-system first calculations without embedding procedures were accomplished, with the result that already 60 atoms are sufficient as a surface-cluster. Using the embedding procedure the same values with only 25 atoms were obtained. This means a substantial improvement if one takes into consideration that the calculation time increased cubically with the number of atoms. With the embedding method Infinite systems can be treated by molecular methods. Additionally the program code was extended by the possibility to make molecular-dynamic simulations. Now it is possible apart from the past calculations of fixed cores to investigate also structures of small clusters and surfaces. A first application we made with the adsorption of Cu on Cu(100). We calculated the relaxed positions of the atoms that were located close to the adsorption site and afterwards made the full-quantummechanical calculation of this system. We did that procedure for different distances to the surface. Thus a realistic adsorption process could be examined for the first time. It should be remarked that when doing the Cu reference-calculations (without embedding) we begun to parallelize the entire program code. Only because of this aspect the investigations for the 100 atomic Cu surface-clusters were possible. Due to the good efficiency of both the parallelization and the developed embedding procedure we will be able to apply the combination in future. This will help to work on more these areas it will be possible to bring in results of full-relativistic molecular calculations, what will be very interesting especially for the regime of heavy systems.

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The interatomic potential of the system I - I at intermediate and small distances is calculated from atomic DFS electron densities within a statistical model. Structures in the potential, due to the electronic shells, are investigated. Calculations of the elastic differential scattering cross section for small angles and several keV impact energies show a detailed peak pattern which can be correlated to individual electronic shell interaction.

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The interatomic potential of the ion-atom scattering system I^N+-I at small intermediate internuclear distances is calculated for different charge states N from atomic Dirac-Focker-Slater (DFS) electron densities within a statistical model. The behaviour of the potential structures, due to ionized electronic shells, is studied by calculations of classical elastic differential scattering cross-sections.

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Research on transition-metal nanoalloy clusters composed of a few atoms is fascinating by their unusual properties due to the interplay among the structure, chemical order and magnetism. Such nanoalloy clusters, can be used to construct nanometer devices for technological applications by manipulating their remarkable magnetic, chemical and optical properties. Determining the nanoscopic features exhibited by the magnetic alloy clusters signifies the need for a systematic global and local exploration of their potential-energy surface in order to identify all the relevant energetically low-lying magnetic isomers. In this thesis the sampling of the potential-energy surface has been performed by employing the state-of-the-art spin-polarized density-functional theory in combination with graph theory and the basin-hopping global optimization techniques. This combination is vital for a quantitative analysis of the quantum mechanical energetics. The first approach, i.e., spin-polarized density-functional theory together with the graph theory method, is applied to study the Fe$_m$Rh$_n$ and Co$_m$Pd$_n$ clusters having $N = m+n \leq 8$ atoms. We carried out a thorough and systematic sampling of the potential-energy surface by taking into account all possible initial cluster topologies, all different distributions of the two kinds of atoms within the cluster, the entire concentration range between the pure limits, and different initial magnetic configurations such as ferro- and anti-ferromagnetic coupling. The remarkable magnetic properties shown by FeRh and CoPd nanoclusters are attributed to the extremely reduced coordination number together with the charge transfer from 3$d$ to 4$d$ elements. The second approach, i.e., spin-polarized density-functional theory together with the basin-hopping method is applied to study the small Fe$_6$, Fe$_3$Rh$_3$ and Rh$_6$ and the larger Fe$_{13}$, Fe$_6$Rh$_7$ and Rh$_{13}$ clusters as illustrative benchmark systems. This method is able to identify the true ground-state structures of Fe$_6$ and Fe$_3$Rh$_3$ which were not obtained by using the first approach. However, both approaches predict a similar cluster for the ground-state of Rh$_6$. Moreover, the computational time taken by this approach is found to be significantly lower than the first approach. The ground-state structure of Fe$_{13}$ cluster is found to be an icosahedral structure, whereas Rh$_{13}$ and Fe$_6$Rh$_7$ isomers relax into cage-like and layered-like structures, respectively. All the clusters display a remarkable variety of structural and magnetic behaviors. It is observed that the isomers having similar shape with small distortion with respect to each other can exhibit quite different magnetic moments. This has been interpreted as a probable artifact of spin-rotational symmetry breaking introduced by the spin-polarized GGA. The possibility of combining the spin-polarized density-functional theory with some other global optimization techniques such as minima-hopping method could be the next step in this direction. This combination is expected to be an ideal sampling approach having the advantage of avoiding efficiently the search over irrelevant regions of the potential energy surface.

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Among organic materials, spirobifluorene derivatives represent a very attractive class of materials for electronic devices. These compounds have high melting points, glass transitions temperatures and morphological stability, which makes these materials suitable for organic electronic applications. In addition, some of spirobifluorenes can form porous supramolecular associations with significant volumes available for the inclusion of guests. These molecular associations based on the spirobifluorenes are noteworthy because they are purely molecular analogues of zeolites and other microporous solids, with potential applications in separation, catalysis, sensing and other areas.

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This paper approaches the topic of urban/community gardening not through the lens of urban theory per se but in light of basic farming realities such as growing season and land availability. Food security comprises availability and affordability. In the context of North American and Western European societies, only food affordability normally merits public discourse. In practice, governments have little or no means to change food affordability, in view of prevailing capitalistic free-market structures. In the current wave of popular exuberance, civic politicians and others have promoted the belief that community gardening could be the pathway to produce affordable food. The formidable obstacles to this pursuit include the availability of (low-cost) land within the highly-densified city limit, insufficient ambient temperature and water supply during the growing season and the contemporary structure of society. Overcoming these fundamental hurdles carries significant negative environmental and economic consequences.