139 resultados para Tetrahedra.


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No processo de síntese da zeólita A decidiu-se testar uma matéria-prima alternativa e mais econômica como fonte de sílica e alumínio, pela utilização de rejeitos da indústria do caulim para papel. As zeólitas são substâncias cristalinas com estrutura caracterizada por um arcabouço de tetraedros interligados, cada um consistindo de quatro átomos de oxigênio envolvendo um cátion. O desenvolvimento de processos de síntese de zeólitas desperta um grande interesse para utilização nas áreas de purificação, catálise e adsorção. Os materiais de partida para a síntese da zeólita A constituíram-se de rejeitos de beneficiamento de caulim para papel de empresas do estado do Pará. A zeólita foi obtida após calcinação em 85 e 110 ºC durante 24 h. A caracterização dos materiais de partida foi feita por difração de raios X, análise química, análise térmica gravimétrica e térmica diferencial, e microscopia eletrônica de varredura. A caracterização da zeólita A foi feita por difração de raios X e microscopia eletrônica de varredura. Os rejeitos de caulim utilizados como materiais precursores mostraram ser compostos essencialmente pelo mineral caulinita. Para as temperaturas e tempo empregados na síntese foi possível a formação da fase cristalina da zeólita A, para os dois materiais precursores.

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In this work is presented a new method for sensor deployment on 3D surfaces. The method was structured on different steps. The first one aimed discretizes the relief of interest with Delaunay algorithm. The tetrahedra and relative values (spatial coordinates of each vertex and faces) were input to construction of 3D Voronoi diagram. Each circumcenter was calculated as a candidate position for a sensor node: the corresponding circular coverage area was calculated based on a radius r. The r value can be adjusted to simulate different kinds of sensors. The Dijkstra algorithm and a selection method were applied to eliminate candidate positions with overlapped coverage areas or beyond of surface of interest. Performance evaluations measures were defined using coverage area and communication as criteria. The results were relevant, once the mean coverage rate achieved on three different surfaces were among 91% and 100%.

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Precursor glass and glass-ceramics with molar composition 2Na2O·1CaO·3SiO2 are studied by infrared, conventional, and microprobe Raman techniques. The Gaussian deconvoluted Raman spectrum of the glass presents bands at 625 and 660 cm-1, attributed to bending vibrations of Si-O-Si bonds, and at 860, 920, 975, and 1030 cm-1, attributed to symmetric stretching vibrations of SiO4 tetrahedra with 4, 3, 2, and 1 nonbridging oxygens, respectively. The Raman microprobe spectrum of a highly crystallized sample presents two narrow and intense bands at about 590 and 980 cm-1, associated with vibrations of SiO4 tetrahedra with two nonbridging oxygens, in agreement with the predicted chain-like structure of crystalline metasilicates. Scanning electron microscopy shows that the crystals distributed in partially crystallized samples have a spherical shape, built up by radially oriented needle-like single crystals. The Raman microprobe spectra of these spherulites show that they still contain residual amorphous material. A comparison of Raman and infrared spectra of amorphous and highly crystallized samples is presented.

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Mejillonesite, ideally NaMg(2)(PO(3)OH)(PO(4))(OH)center dot H(5)O(2), is a new mineral approved by the CNMNC (IMA 2010-068). It occurs as isolated crystal aggregates in thin zones in fine-grained opal-zeolite aggregate on the north slope of Cerro Mejillones, Antofagasta, Chile. Closely associated minerals are bobierrite, opal, clinoptilolite-Na, clinoptilolite-K, and gypsum. Mejillonesite forms orthorhombic, prismatic, and elongated thick tabular crystals up to 6 mm long, usually intergrown in radiating aggregates. The dominant form is pinacoid {100}. Prisms {hk0}, {h0l}, and {0kl} are also observed. The crystals are colorless, their streak is white, and the luster is vitreous. The mineral is transparent. It is non-fluorescent under ultraviolet light. Mohs' hardness is 4, tenacity is brittle. Cleavage is perfect on {100}, good on {010} and {001}, and fracture is stepped. The measured density is 2.36(1) g/cm(3); the calculated density is 2.367 g/cm(3). Mejillonesite is biaxial (-), alpha= 1.507(2), beta= 1.531(2), gamma= 1.531(2), 2V(meas) = 15(10)degrees, 2V(calc) = 0 degrees (589 nm). Orientation is X= a, Z= elongation direction. The mineral is non-pleochroic. Dispersion is r> v, medium. The IR spectrum contains characteristic bands of the Zundel cation (H(5)O(2)(+), or H(+)center dot 2H(2)O) and the groups P-OH and OH(-). The chemical composition is (by EDS, H(2)O by the Alimarin method, wt%): Na(2)O 9.19, MgO 26.82, P(2)O(5) 46.87, H(2)O 19, total 101.88. The empirical formula, based on 11 oxygen atoms, is Na(0.93)Mg(2.08)(PO(3)OH)(1.00) (PO(4)) (OH)(0.86) .0.95H(5)O(2) The strongest eight X-ray powder-diffraction lines [d in angstrom(I)(hkl)] are: 8.095(100)(200), 6.846(9) (210), 6.470(8)(111), 3.317(5)(302), 2.959(5)(132), 2.706(12)(113), 2.157(19)(333), and 2.153(9) (622). The crystal structure was solved on a single crystal (R = 0.055) and gave the following data: orthorhombic, Pbca, a = 16.295(1), b = 13.009(2), c = 8.434(1) angstrom, V= 1787.9(4) angstrom(3), Z = 8. The crystal structure of mejillonesite is based on a sheet (parallel to the b-c plane) formed by two types of MgO(6) octahedra, isolated tetrahedra PO(4) and PO(3)OH whose apical vertices have different orientation with respect to the sheet. The sheets are connected by interlayer, 5-coordinated sodium ions, proton hydration complexes, and hydroxyl groups. The structure of mejillonesite is related to that of angarfite, NaFe(5)(3+)(PO(4))(4)(OH)(4).4H(2)O and bakhchisaraitsevite, Na(2)Mg(5)(PO(4))(4)center dot 7H(2)O.

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Glasses in the system xGeO(2)-(1-x)NaPO3 (0 <= x <= 0.50) were prepared by conventional melting quenching and characterized by thermal analysis, Raman spectroscopy, X-ray photoelectron spectroscopy (XPS), and P-31 nuclear magnetic resonance (MAS NMR) techniques. The deconvolution of the latter spectra was aided by homonuclear J-resolved and refocused INADEQUATE techniques. The combined analyses of P-31 MAS NMR and O-1s XPS lineshapes, taking charge and mass balance considerations into account, yield the detailed quantitative speciations of the phosphorus, germanium, and oxygen atoms and their respective connectivities. An internally consistent description is possible without invoking the formation of higher-coordinated germanium species in these glasses, in agreement with experimental evidence in the literature. The structure can be regarded, to a first approximation, as a network consisting of P-(2) and P-(3) tetrahedra linked via four-coordinate germanium. As implied by the appearance of P-(3) units, there is a moderate extent of network modifier sharing between phosphate and germanate network formers, as expressed by the formal melt reaction P-(2) + Ge-(4) -> P-(3) + Ge-(3). The equilibrium constant of this reaction is estimated as K = 0.52 +/- 0.11, indicating a preferential attraction of network modifier by the phosphorus component. These conclusions are qualitatively supported by Raman spectroscopy as well as P-31{Na-23} and P-31{Na-23} rotational echo double resonance (REDOR) NMR results. The combined interpretation of O-1s XPS and P-31 MAS NMR spectra shows further that there are clear deviations from a random connectivity scenario: heteroatomic P-O-Ge linkages are favored over homoatomic P-O-P and Ge-O-Ge linkages.

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Hermite interpolation is increasingly showing to be a powerful numerical solution tool, as applied to different kinds of second order boundary value problems. In this work we present two Hermite finite element methods to solve viscous incompressible flows problems, in both two- and three-dimension space. In the two-dimensional case we use the Zienkiewicz triangle to represent the velocity field, and in the three-dimensional case an extension of this element to tetrahedra, still called a Zienkiewicz element. Taking as a model the Stokes system, the pressure is approximated with continuous functions, either piecewise linear or piecewise quadratic, according to the version of the Zienkiewicz element in use, that is, with either incomplete or complete cubics. The methods employ both the standard Galerkin or the Petrov–Galerkin formulation first proposed in Hughes et al. (1986) [18], based on the addition of a balance of force term. A priori error analyses point to optimal convergence rates for the PG approach, and for the Galerkin formulation too, at least in some particular cases. From the point of view of both accuracy and the global number of degrees of freedom, the new methods are shown to have a favorable cost-benefit ratio, as compared to velocity Lagrange finite elements of the same order, especially if the Galerkin approach is employed.

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Máster Universitario en Sistemas Inteligentes y Aplicaciones Numéricas en Ingeniería (SIANI)

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[EN]A three-dimensional finite element model for the pollutant dispersion is presented. In these environmental processes over a complex terrain, a mesh generator capable of adapting itself to the topographic characteristics is essential. The first stage of the model consists on the construction of an adaptive tetrahedral mesh of a rectangular region bounded in its lower part by the terrain and in its upper part by a horizontal plane. Once the mesh is constructed, an adaptive local refinement of tetrahedra is used in order to capture the plume rise. Wind measurements are used to compute an interpolated wind field, that is modified by using a mass-consistent model and perturbing its vertical component to introduce the plume rise effect...

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[EN]A three-dimensional air pollution model for the short-term simulation of emission, transport and reaction of pollutants is presented. In the finite element simulation of these environmental processes over a complex terrain, a mesh generator capable of adapting itself to the topographic characteristics is essential, A local refinement of tetrahedra is used in order to capture the plume rise. Then a wind field is computed by using a mass-consistent model and perturbing its vertical component to introduce the plume rise effect. Finally, an Eulerian convection-diffusionreaction model is used to simulate the pollutant dispersion…

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[EN]This work introduces a new technique for tetrahedral mesh optimization. The procedure relocates boundary and inner nodes without changing the mesh topology. In order to maintain the boundary approximation while boundary nodes are moved, a local refinement of tetrahedra with faces on the solid boundary is necessary in some cases. New nodes are projected on the boundary by using a surface parameterization. In this work, the proposed method is applied to tetrahedral meshes of genus-zero solids that are generated by the meccano method. In this case, the solid boundary is automatically decomposed into six surface patches which are parameterized into the six faces of a cube with the Floater parameterization...

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In der vorliegenden Arbeit werdenMolekulardynamik-Simulationen zur Untersuchung derstatischen Eigenschaften von amorphenSiliziumdioxidoberflächen (Siliziumdioxid) durchgeführt. Da das von van Beest, Kramer und van Santen vorgeschlagene,sogenannte BKS-Potential für Bulksysteme optimiert wurde und an Oberflächen deutlichandere Ladungsverteilungenauftreten als im Bulk, ist die Anwendbarkeit diesesPotentials für Oberflächensystemefraglich. Aus diesem Grund haben wir untersucht, inwieweitsich die Oberflächeneigenschaften von Systemen, die mit Hilfe des BKS-Potentials äquilibriertwurden, durch ein Nachrelaxieren mit einer ab-initio-Simulation (Car-Parrinello-Methode)ändern. Mit Hilfe der Kombination aus BKS- und Car-Parrinello-Methode (CPMD)konnten wir feststellen, daß sich die Systeme aufgrund des Nachrelaxierens in z-Richtungweiter ausdehnen. Desweiteren zeigte sich insbesondere bei kleinen Ringen (kommen nur ander Oberfläche vor), daß es deutliche Abweichungen in den Geometrien (Atomabstände,Winkel usw.) zwischen der reinen BKS- und der kombinierten BKS-CPMD-Methode gibt. Anhand vonCPMD-Simulationen konnten wir zeigen, daß es durch die Wechselwirkung eines Wassermolekülsmit einem 2er-Ring zum Aufbrechen dieser Ringstruktur und zur Bildung von zweiSilanolgruppen (SiOH) kommt. Desweiteren stellten wir fest, daß es sich hierbei um eineexotherme Reaktion (Energiedifferenz 1.6 eV) handelt, für die eineEnergiebarriere von 1.1 eV überwunden werden muß. Ferner ergab sich, daß die an der Bildung des2er-Ringes beteiligten, stark deformierten Tetraeder nach dem Aufbrechen dieserRingstruktur eine nahezu ideale Tetraederform annehmen.

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Mit Hilfe von Molekulardynamik-Computersimulationen werdenin dieser Arbeit die Struktur und Dynamik von Gläsern undSchmelzen der Systeme 'NSx'=(Na2O)(xSiO2), mit x=2,3,5, und'AS2'=(Al2O3)(2SiO2) untersucht. Zur Beschreibung dermikroskopischen Wechselwirkungen dient ein Modellpotenzial,das auf einem effektiven Paarpotenzial aus der Literaturaufbaut. Simuliert wurden Teilchentrajektorien über mehrereNanosekunden im Bereich 6100 K >= T >= 2100 K sowie dieGlasstruktur bei 100 K (NSx) bzw. 300 K (AS2). Das Aufbrechen der tetraedrischen Netzwerkstruktur durch denNetzwerkmodifikator Na2O führt zur Ausbildung einerzusätzlichen Struktur auf intermediären Längenskalen, diebei allen Systemen NSx etwa dem Abstand übernächster Na-bzw. Si-Nachbarn eines Na-Atoms entspricht. Die diffusiveDynamik ist in allen Systeme NSx bis zu drei Größenordnungenschneller als in SiO2 . Sie nimmt mit wachsenderNa-Konzentration zu. Die Na-Diffusion zeigtArrhenius-Verhalten; hierbei vollführen die Na-Atome einaktiviertes Hüpfen durch eine erstarrte Si-O-Matrix. DieZustandsdichten werden bis ca. 20 THz durch dominanteNa-Moden bestimmt. Bei hohen Frequenzen weichen die für SiO2 typischen intratetraedrischen Si-O-Schwingungsmodenauf.Im Gegensatz zu Na2O wird Al2O3 in die tetraedrischeNetzwerkstruktur eingebunden. AS2 zeigt eine überwiegend ausAlO4- und SiO4-Tetraedern verknüpfte Polyederstruktur, beider sich die AlO4-Tetraeder lokal anders anordnen als dieSiO4-Tetraeder, um Ladungsausgleich zu gewährleisten. Esbilden sich typische 3(Si,Al)O4-Bausteine ('3-Cluster'). Sie führen auf intermediären Längenskalen zur Ausbildungeines Al-reichen perkolierenden Netzwerks, das dieSiO4-Struktur durchdringt. Im Vergleich zu SiO2 erhöht sichdie diffusive Dynamik aller Komponenten in AS2 um ca. zweiGrößenordnungen. Die intratetraedrischenAl-O-Steckschwingungsmoden sind wesentlich weicher als die typischen intratetraedrischen Si-O-Moden des SiO2.

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Bei den Sorptions- und Desorptionsmechanismen an Mineraloberflächen ist oft nicht bekannt, durch welchen Mechanismus bestimmte Spurenelemente gebunden werden (Adsorption, Ionenaustausch, Ausfällung). Heterogene Reaktionen an der Fluid/Mineral-Grenzfläche sind im Allgemeinen sehr komplex. Ein Grund dafür ist, dass mehrere Mechanismen simultan ablaufen können. Da verschiedene Reaktionstypen räumlich getrennt ablaufen, d.h. im mikroskopischen Maßstab an unterschiedlichen Reaktionsplätzen, müssen die individuellen Reaktionsmechanismen auf atomarem Maßstab untersucht werden, um die Komplexität der Gesamtreaktion zu verstehen. Mit Hilfe der EXAFS Spektroskopie wurde die Bindungsform und -art der eingelagerten Zink- und Blei-Atome in die synthetische Calciumsilikathydratphase (CSH) und des adsorptiv gebundenen Arsens an der Oberfläche der natürlichen Eisenhydroxidphase bestimmt. Hierbei spielt Silizium eine relevante Rolle für die Immobilisierung von Schwermetallen. In beiden Fällen, in denen das Silizium einerseits als Adsorbat an der Oberfläche der Eisenhydroxidphase und andererseits in die Struktur der Mischphase gebunden vorliegt, trägt es wesentlich zur Form und Art der Bindung der Schwermetalle in die neugebildete Phase bei.

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Development of empirical potentials for amorphous silica Amorphous silica (SiO2) is of great importance in geoscience and mineralogy as well as a raw material in glass industry. Its structure is characterized as a disordered continuous network of SiO4 tetrahedra. Many efforts have been undertaken to understand the microscopic properties of silica by classical molecular dynamics (MD) simulations. In this method the interatomic interactions are modeled by an effective potential that does not take explicitely into account the electronic degrees of freedom. In this work, we propose a new methodology to parameterize such a potential for silica using ab initio simulations, namely Car-Parrinello (CP) method [Phys. Rev. Lett. 55, 2471 (1985)]. The new potential proposed is compared to the BKS potential [Phys. Rev. Lett. 64, 1955 (1990)] that is considered as the benchmark potential for silica. First, CP simulations have been performed on a liquid silica sample at 3600 K. The structural features so obtained have been compared to the ones predicted by the classical BKS potential. Regarding the bond lengths the BKS tends to underestimate the Si-O bond whereas the Si-Si bond is overestimated. The inter-tetrahedral angular distribution functions are also not well described by the BKS potential. The corresponding mean value of theSiOSi angle is found to be ≃ 147◦, while the CP yields to aSiOSi angle centered around 135◦. Our aim is to fit a classical Born-Mayer/Coulomb pair potential using ab initio calculations. To this end, we use the force-matching method proposed by Ercolessi and Adams [Europhys. Lett. 26, 583 (1994)]. The CP configurations and their corresponding interatomic forces have been considered for a least square fitting procedure. The classical MD simulations with the resulting potential have lead to a structure that is very different from the CP one. Therefore, a different fitting criterion based on the CP partial pair correlation functions was applied. Using this approach the resulting potential shows a better agreement with the CP data than the BKS ones: pair correlation functions, angular distribution functions, structure factors, density of states and pressure/density were improved. At low temperature, the diffusion coefficients appear to be three times higher than those predicted by the BKS model, however showing a similar temperature dependence. Calculations have also been carried out on crystalline samples in order to check the transferability of the potential. The equilibrium geometry as well as the elastic constants of α-quartz at 0 K are well described by our new potential although the crystalline phases have not been considered for the parameterization. We have developed a new potential for silica which represents an improvement over the pair potentials class proposed so far. Furthermore, the fitting methodology that has been developed in this work can be applied to other network forming systems such as germania as well as mixtures of SiO2 with other oxides (e.g. Al2O3, K2O, Na2O).

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The new crystalline compound, Li2PO2N, was synthesized using high temperature solid state methods starting with a stoichiometric mixture of Li2O, P2O5, and P3N5. Its crystal structure was determined ab initio from powder X-ray diffraction. The compound crystallizes in the orthorhombic space group Cmc2(1) (# 36) with lattice constants a = 9.0692(4) angstrom, b = 53999(2) angstrom, and c = 4.6856(2) angstrom. The crystal structure of SD-Li2PO2N consists of parallel arrangements of anionic chains formed of corner sharing (PO2N2) tetrahedra. The chains are held together by Li+ cations. The structure of the synthesized material is similar to that predicted by Du and Holzwarth on the basis of first principles calculations (Phys. Rev. B 81,184106 (2010)). The compound is chemically and structurally stable in air up to 600 degrees C and in vacuum up to 1050 degrees C. The Arrhenius activation energy of SD-Li2PO2N in pressed pellet form was determined from electrochemical impedance spectroscopy measurements to be 0.6 eV, comparable to that of the glassy electrolyte LiPON developed at Oak Ridge National Laboratory. The minimum activation energies for Li ion vacancy and interstitial migrations are computed to be 0.4 eV and 0.8 eV, respectively. First principles calculations estimate the band gap of SD-Li2PO2N to be larger than 6 eV. (C) 2013 Elsevier B.V. All rights reserved.