Search results for "table"

showing 10 items of 2807 documents

Character Tables and Sylow Subgroups Revisited

2018

Suppose that G is a finite group. A classical and difficult problem is to determine how much the character table knows about the local structure of G and vice versa.

Difficult problemPure mathematicsFinite group010102 general mathematicsSylow theorems01 natural sciencesLocal structureConjugacy classCharacter table0103 physical sciences010307 mathematical physics0101 mathematicsVersaMathematics
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Halogen and hydrogen bonds in compressed pentachloroethane

2016

In pentachloroethane, C2HCl5, high pressure initially strongly compresses the C–H⋯Cl bonds in phase I; however, in phase II which is stable above 0.62 GPa the role of hydrogen bonds is diminished and molecular aggregation is dominated by halogen bonds Cl⋯Cl. Both phases have been determined by X-ray diffraction and the phase diagram of C2HCl5 has been outlined. The transition between phases I and II retains some relation between their structures and reduces the symmetry from class mmm (space group Pnma) to 2/m (space group P21/n11). The discontinuous transition, with the shear strain exceeding 21°, is so strong that its progress can be visually observed even for powdered samples. The single…

DiffractionHydrogen bondPentachloroethane02 engineering and technologyGeneral Chemistry010402 general chemistry021001 nanoscience & nanotechnologyCondensed Matter Physics01 natural sciencesSymmetry (physics)0104 chemical scienceschemistry.chemical_compoundCrystallographychemistryGroup (periodic table)Phase (matter)HalogenGeneral Materials Science0210 nano-technologyPhase diagramCrystEngComm
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The use of simulation methods to obtain the structure and conformation of 10-cyano-9,9′-bianthryl by electron diffraction and high-resolution imaging

1995

Abstract Experimental electron diffraction patterns and high-resolution images were used to determine the space group and unit cell dimensions of 10-cyano-9,9′-bianthryl. Subsequently the molecular conformation was calculated by semi-empirical quantum-mechanical methods. The molecule was then placed with the appropriate symmetry into the unit cell and the conformational as well as the packing energy deduced by an iterative procedure until good agreement was obtained between experiment and theory.

DiffractionNitrileChemistryStereochemistryCrystal structureSpace (mathematics)Molecular physicsAtomic and Molecular Physics and OpticsSymmetry (physics)Electronic Optical and Magnetic Materialschemistry.chemical_compoundElectron diffractionGroup (periodic table)MoleculeInstrumentationUltramicroscopy
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High-pressure theoretical and experimental study of HgWO4

2011

HgWO 4 at ambient pressure is characterized using a combination of ab initio calculations, X-ray diffraction and Raman scattering measurements. The effect of low pressure and temperature on the structural stability is analysed. Extending our ab initio study to the range of higher pressures, a sequence of stable phases up to 30GPa is proposed. © 2011 Taylor & Francis.

DiffractionRaman scatteringLow pressuresX ray diffractionAb initioExperimental studiesPressure effectsMolecular physicsStable phasisScatteringCondensed Matter::Materials Sciencesymbols.namesakeAb initio quantum chemistry methodsX raysScatteringChemistryRaman Scattering measurementsTungstatesCondensed Matter PhysicsX-ray diffractionAmbient pressuresAb initio studyStructural stabilityPhase transitionsFISICA APLICADAX-ray crystallographysymbolsStructural stabilitiesTungsten compoundsAb initio calculationsCalculationsDiffractionStabilityRaman scatteringAmbient pressure
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Ab Initio Structure Determination of Vaterite by Automated Electron Diffraction

2012

tion that is fundamental for understanding material properties. Still, a number of compounds have eluded such kinds of analysis because they are nanocrystalline, highly disordered, with strong pseudosymmetries or available only in small amounts in polyphasic or polymorphic systems. These materials are crystallographically intractable with conventional Xray or synchrotron radiation diffraction techniques. Single nanoparticles can be visualized by high-resolution transmission electron microscopy (HR-TEM) up to sub�ngstrom resolution, [2] but obtaining 3D information is still a difficult task, especially for highly beam-sensitive materials and crystal structures with long cell parameters. Elec…

DiffractionReflection high-energy electron diffractionmetastable phaseElectron crystallographyChemistryResolution (electron density)Analytical chemistrybiomineralization; calcium carbonate; electron crystallography; metastable phase; structure determinationElectronsGeneral ChemistrybiomineralizationCatalysisNanocrystalline materialstructure determinationAutomationCrystallographyelectron crystallographyX-Ray DiffractionElectron diffractionMicroscopy Electron ScanningNanoparticlescalcium carbonateAntacidsPowder diffractionElectron backscatter diffraction
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Testing a theoretical resistance law for overland flow under simulated rainfall with different types of vegetation

2020

Abstract In this paper a recently theoretically deduced flow resistance equation, based on a power-velocity profile, was tested using data collected for overland flow under simulated rainfall carried out in plots with vegetation. The available data were obtained exploring a wide range of rainfall intensities (from 60 to 181 mm h−1) and slopes (from 3.6 to 39.6%), and with four different types of vegetation. The database, including measurements of flow velocity, water depth, cross sectional flow area, wetted perimeter and bed slope, was divided in four datasets (one for each vegetation type), which allowed the calibration of the relationship between the velocity profile parameter Γ, the slop…

Dimensional analysi010504 meteorology & atmospheric sciencesSoil science01 natural sciencessymbols.namesakeWetted perimeterVelocity profileFroude numbermedicineSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliVegetable cover0105 earth and related environmental sciencesEarth-Surface ProcessesReynolds numberLaminar flow04 agricultural and veterinary sciencesOpen channel flowOpen-channel flowSelf-similarityFlow (mathematics)Flow velocityFlow resistance040103 agronomy & agriculturesymbolsRainfall simulationSoil erosion0401 agriculture forestry and fisheriesEnvironmental sciencemedicine.symptomVegetation (pathology)
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118 and Counting … The Periodic Table on its 150th Anniversary.

2019

"Is there still room for more elements in the modern periodic table with its currently 118 elements? Will we need another extra series in the periodic table besides the classical s-, p-, and d-block, and the lanthanides/actinides? Will the periodic table in this region still feature periodicity? …" Read more in the Guest Editorial by C. E. Dullmann.

Discrete mathematics010405 organic chemistryPeriodic tablelawComputer scienceGeneral Chemistry010402 general chemistry01 natural sciencesCatalysis0104 chemical scienceslaw.inventionAngewandte Chemie (International ed. in English)
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On complete set of solutions for polynomial matrix equations

1990

Abstract In this paper we introduce the concept of co-solution of a polynomial matrix equation which permits us to obtain necessary and sufficient conditions so that a set of solutions be a complete set.

Discrete mathematicsAdjugate matrixMinimal polynomial (linear algebra)Stable polynomialApplied MathematicsCompanion matrixApplied mathematicsMonic polynomialPolynomial matrixCharacteristic polynomialMatrix polynomialMathematicsApplied Mathematics Letters
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Infinite games and chain conditions

2015

We apply the theory of infinite two-person games to two well-known problems in topology: Suslin's Problem and Arhangel'skii's problem on $G_\delta$ covers of compact spaces. More specifically, we prove results of which the following two are special cases: 1) every linearly ordered topological space satisfying the game-theoretic version of the countable chain condition is separable and 2) in every compact space satisfying the game-theoretic version of the weak Lindel\"of property, every cover by $G_\delta$ sets has a continuum-sized subcollection whose union is $G_\delta$-dense.

Discrete mathematicsAlgebra and Number TheoryProperty (philosophy)010102 general mathematicsGeneral Topology (math.GN)Mathematics::General Topology010103 numerical & computational mathematicsTopological space01 natural sciencesSeparable spaceCompact spaceChain (algebraic topology)Cover (topology)Countable chain conditionFOS: Mathematicstopological gamesselection principles0101 mathematicscardinal inequalitiesChain conditionsTopology (chemistry)MathematicsMathematics - General Topology
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A Brauer-Wielandt formula (with an application to character tables)

2016

If a p p -group P P acts coprimely on a finite group G G , we give a Brauer-Wielandt formula to count the number of fixed points | C G ( P ) | | \textbf {C}_{G}(P) | of P P in G G . This serves to determine the number of Sylow p p -subgroups of certain finite groups from their character tables.

Discrete mathematicsCharacter tableApplied MathematicsGeneral MathematicsArithmeticMathematicsProceedings of the American Mathematical Society
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