Search results for "Local structure"

showing 10 items of 31 documents

Large atomic disorder in nanostructured LaNi5 alloys: A la L3-edge extended X-ray absorption fine structure study

2010

Abstract Local structure of the nanostructured LaNi 5 alloys, prepared by ball-milling, has been studied using La L 3 -edge extended X-ray absorption fine structure spectroscopy. The near-neighbor distances tend to decrease with the ball-milling, and the mean square relative displacements (MSRD) show substantial increase suggesting an increased atomic disorder. High temperature annealing helps in partial recovery of atomic order in the ball-milled samples for milling times upto 20 h, however, the long-time ball-milled samples seems to gain only a local random order. The results suggest that reduced unit-cell volume together with large atomic-disorder might be causing a higher energy-barrier…

Mean squareMaterials scienceAtomic orderAnnealing (metallurgy)Analytical chemistry02 engineering and technology01 natural sciencesLocal structureRandom order0103 physical sciencesGeneral Materials ScienceNanostructuringSpectroscopy010302 applied physicsExtended X-ray absorption fine structured. crystal structureCrystal structurec. exafsGeneral Chemistry021001 nanoscience & nanotechnologyCondensed Matter Physicsd. crystal structure; a. nanostructuring; c. exafs; a. lani5 alloysEXAFSLaNi5 alloya. lani5 alloys0210 nano-technologya. nanostructuring
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The generic local structure of time-optimal synthesis with a target of codimension one in dimension greater than two

1997

In previous papers, we gave in dimension 2 and 3 a classification of generic synthesis of analytic systems\(\dot v(t) = X(v(t)) + u(t)Y(v(t))\) with a terminal submanifoldN of codimension one when the trajectories are not tangent toN. We complete here this classification in all generic cases in dimension 3, giving a topological classification and a model in each case. We prove also that in dimensionn≥3, out of a subvariety ofN of codimension there, we have described all the local synthesis.

Numerical AnalysisControl and OptimizationAlgebra and Number TheorySubvarietyDifferential equationMathematical analysisDimension (graph theory)TangentCodimensionTime optimalLocal structureCombinatoricsControl and Systems EngineeringVector fieldMathematicsJournal of Dynamical and Control Systems
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Porous measures on $\mathbb {R}^{n}$: Local structure and dimensional properties

2001

We study dimensional properties of porous measures on R n . As a corollary of a theorem describing the local structure of nearly uniformly porous measures we prove that the packing dimension of any Radon measure on R n has an upper bound depending on porosity. This upper bound tends to n - 1 as porosity tends to its maximum value.

Packing dimensionCorollaryApplied MathematicsGeneral MathematicsMathematical analysisRadon measurePorosityUpper and lower boundsLocal structurePhysics::GeophysicsMathematicsProceedings of the American Mathematical Society
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Local structure aroundEr3+inSiO2−HfO2glassy waveguides using EXAFS

2007

${\mathrm{Er}}^{3+}$-doped $\mathrm{Si}{\mathrm{O}}_{2}\text{\ensuremath{-}}\mathrm{Hf}{\mathrm{O}}_{2}$ glassy waveguides with $\mathrm{Hf}{\mathrm{O}}_{2}$ concentrations ranging from $10\phantom{\rule{0.3em}{0ex}}\text{to}\phantom{\rule{0.3em}{0ex}}50\phantom{\rule{0.3em}{0ex}}\mathrm{mol}\phantom{\rule{0.2em}{0ex}}%$ were prepared using the sol-gel route and deposited on $v\text{\ensuremath{-}}\mathrm{Si}{\mathrm{O}}_{2}$ substrates using the dip-coating technique. The local environment around ${\mathrm{Er}}^{3+}$ ions was determined from Er ${L}_{3}$-edge extended x-ray-absorption fine-structure (EXAFS) measurements. The first coordination shell around ${\mathrm{Er}}^{3+}$ ions is comp…

PhysicsCrystallographyX-ray spectroscopyOxygen atomExtended X-ray absorption fine structureAbsorption spectroscopyLocal environmentAbsorption (logic)Condensed Matter PhysicsAtomic speciesLocal structureElectronic Optical and Magnetic MaterialsPhysical Review B
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Dynamical coexistence in moderately polydisperse hard-sphere glasses

2020

We perform extensive numerical simulations of a paradigmatic model glass former, the hard-sphere fluid with 10% polydispersity. We sample from the ensemble of trajectories with fixed observation time, whereby single trajectories are generated by event-driven molecular dynamics. We show that these trajectories can be characterized in terms of the local structure, and we find a dynamical-structural (active-inactive) phase transition between two dynamical phases: one dominated by liquidlike trajectories with a low degree of local order and one dominated by glassylike trajectories with a high degree of local order. We show that both phases coexist and are separated by a spatiotemporal interface…

PhysicsPhase transition010304 chemical physicsStatistical Mechanics (cond-mat.stat-mech)General Physics and AstronomyFOS: Physical sciencesDisordered Systems and Neural Networks (cond-mat.dis-nn)Renormalization groupCondensed Matter - Disordered Systems and Neural NetworksComputational Physics (physics.comp-ph)010402 general chemistryScaling theory01 natural sciencesLocal structureDirected percolation0104 chemical sciencesMolecular dynamicsCritical point (thermodynamics)0103 physical sciencesStatistical physicsPhysical and Theoretical ChemistryScalingPhysics - Computational PhysicsCondensed Matter - Statistical Mechanics
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Local structure of s-dimensional sets and measures

1995

Pure mathematicsConvex geometryEuclidean geometryDimension theoryGeometryLocal structureMathematics
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Local structure of self-affine sets

2011

The structure of a self-similar set with open set condition does not change under magnification. For self-affine sets the situation is completely different. We consider planar self-affine Cantor sets E of the type studied by Bedford, McMullen, Gatzouras and Lalley, for which the projection onto the horizontal axis is an interval. We show that within small square neighborhoods of almost each point x in E, with respect to many product measures on address space, E is well approximated by product sets of an interval and a Cantor set. Even though E is totally disconnected, the limit sets have the product structure with interval fibres, reminiscent to the view of attractors of chaotic differentia…

Pure mathematicsMathematics::Dynamical SystemsApplied MathematicsGeneral Mathematicsta111Open setStructure (category theory)MagnificationDynamical Systems (math.DS)Local structureSet (abstract data type)FOS: MathematicsAffine transformationMathematics - Dynamical Systems28A80 37D45MathematicsErgodic Theory and Dynamical Systems
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Proton Dynamics in In:BaZrO3: Insights on the Atomic and Electronic Structure from X-ray Absorption Spectroscopy

2009

The local structure of Ba2+, Zr4+, and In3+ in In:BaZrO3 is investigated with EXAFS for samples having 0 to 75% In3+ content. It is found that indium can be inserted in any ratio in the host matrix oxide and that the oxygen coordination shell displays an In-O distance very similar to the Zr-O length. In the Zr-rich compositions, there is a preferred dopant-vacancy association that, however, does not give rise to dopant-proton interaction in the hydrated samples. The tendency of Ba2+ to be attracted toward the dopant site is attributed to the electrostatic interaction with the dopant and to the structural rearrangement around the In3+ site. Third cumulant analysis at high temperatures (up to…

X-ray absorption spectroscopyProtonExtended X-ray absorption fine structureChemistryGeneral Chemical EngineeringAnalytical chemistrychemistry.chemical_elementGeneral ChemistryElectronic structureLocal structureMatrix (chemical analysis)Materials ChemistryIndiumproton conductor perovskite EXAFS barium zirconate
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Local Structure of Supported Keggin and Wells-Dawson Heteropolyacids and Its Influence on the Catalytic Activity

2019

[EN] Keggin [PW12O40]3– and Wells–Dawson [P2W18O62]6– heteropolyanions are nanosized transition-metal-oxygen clusters belonging to the heteropolyacids (HPAs) family. They are widely used as catalysts due to their high Brønsted acidity, and their dispersion on solid supports favors the accessibility to their acid sites generally increasing the catalytic activity. A series of binary materials composed of Keggin or Wells–Dawson HPAs and SiO2, TiO2, and ZrO2 have been prepared by impregnation or solvothermal methods. Remarkable differences have been found in the catalytic activities among the unsupported and supported HPAs. These differences have been correlated in the past to the structural ch…

X-ray photoelectron spectroscopyX-ray absorption near edge spectroscopy;Cluster chemistryChemistryOxides02 engineering and technology010402 general chemistry021001 nanoscience & nanotechnology01 natural sciencesLocal structureX-ray absorption near edge spectroscopy0104 chemical sciencesSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsCatalysisCrystallographyGeneral EnergySettore CHIM/03 - Chimica Generale E InorganicaSupported Keggin and Wells-Dawson HeteropolyacidsSettore CHIM/07 - Fondamenti Chimici Delle TecnologiePhysical and Theoretical Chemistryheteropolyacids Keggin Wells-Dawson catalysis polyoxometalates EXAFS0210 nano-technologyMaterials
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Calculation of Dependent Elastic Constants of Plastic Foams with a Pronounced Strut-Like Structure

2003

Seven dependent elastic constants of monotropic plastic foams with an expressed strut-like structure are calculated. For this purpose, the basic results of the previously elaborated mathematical model for light-weight plastic foams is used. The model includes a model cell of local structure for monotropic/isotropic plastic foams and an ensemble of structural elements, which allows one to calculate the seven dependent elastic constants, taking into account the pronounced polydispersity of the structure of plastic foams. The numerical values of the constants are compared with the available experimental data, and a satisfactory agreement is found to exist. As a final result, a full set of gene…

chemistry.chemical_classificationMaterials sciencePolymers and PlasticsGeneral MathematicsIsotropyStructure (category theory)PolymerCondensed Matter PhysicsLocal structurePoisson's ratioCondensed Matter::Soft Condensed MatterBiomaterialssymbols.namesakechemistryMechanics of MaterialsSolid mechanicsCeramics and CompositessymbolsComposite materialMechanics of Composite Materials
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