Search results for "Surfaces"

showing 10 items of 2837 documents

On the topology of surfaces with the generalised simple lift property.

2020

In this paper, we study the geometry of surfaces with the generalised simple lift property. This work generalises previous results by Bernstein and Tinaglia, and it is motivated by the fact that leaves of a minimal lamination obtained as a limit of a sequence of properly embedded minimal disks satisfy the generalised simple lift property.

Pure mathematicsHyperbolic geometryminimal laminationAlgebraic geometryminimal surfaces01 natural sciencesLift (mathematics)differentiaaligeometriaMathematics - Geometric Topology510 Mathematics0103 physical sciencesFOS: MathematicsLimit of a sequence53A10 51H050101 mathematicstopologiaSimple lift propertyMathematicsProjective geometryColding and minicozzi theoryOriginal PaperMinimal surface010102 general mathematicscolding and minicozzi theory53A10Geometric Topology (math.GT)Minimal surfacesMinimal lamination16. Peace & justiceDifferential geometry51H05010307 mathematical physicsGeometry and Topologygeometriasimple lift propertyGeometriae dedicata
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The horospherical Gauss-Bonnet type theorem in hyperbolic space

2006

We introduce the notion horospherical curvatures of hypersurfaces in hyperbolic space and show that totally umbilic hypersurfaces with vanishing cur- vatures are only horospheres. We also show that the Gauss-Bonnet type theorem holds for the horospherical Gauss-Kronecker curvature of a closed orientable even dimensional hypersurface in hyperbolic space. + (i1) by using the model in Minkowski space. We introduced the notion of hyperbolic Gauss indicatrices slightly modified the definition of hyperbolic Gauss maps. The notion of hyperbolic indicatrices is independent of the choice of the model of hyperbolic space. Using the hyperbolic Gauss indicatrix, we defined the principal hyperbolic curv…

Pure mathematicsMathematics::Dynamical SystemsGauss-Bonnet type theoremHyperbolic groupMathematics::Complex VariablesGeneral MathematicsHyperbolic spaceMathematical analysisHyperbolic manifoldUltraparallel theoremhorospherical geometryhyperbolic Gauss mapshypersurfacesRelatively hyperbolic groupMathematics::Geometric Topology53A3553A0558C27hyperbolic spaceHyperbolic angleMathematics::Differential GeometryMathematics::Representation TheoryHyperbolic triangleHyperbolic equilibrium pointMathematics
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Metamagnetism in hydrophobically induced carboxylate (phenylmalonate)-bridged copper(II) layers

2006

Self-assembly of copper(II) ions, phenylmalonate and pyrimidine yields the layered compound [Cu(pym)(Phmal)]n ( 1) where intralayer ferro- and interlayer antiferromagnetic interactions occur with three-dimensional antiferromagnetic ordering at Tc = 2.15 K Lloret Pastor, Francisco, Francisco.Lloret@uv.es ; Julve Olcina, Miguel, Miguel.Julve@uv.es

PyrimidineUNESCO::QUÍMICAInorganic chemistrychemistry.chemical_element:QUÍMICA [UNESCO]CatalysisIonMetamagnetism ; Hydrophobically ; Copper ; Three-dimensional antiferromagneticchemistry.chemical_compoundThree-dimensional antiferromagneticMaterials ChemistryAntiferromagnetismCarboxylateMetamagnetismChemistryUNESCO::QUÍMICA::Química analíticaMetals and AlloysGeneral ChemistryHydrophobicallyCopperSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsMetamagnetismCrystallographyCeramics and Composites:QUÍMICA::Química analítica [UNESCO]Copper
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Hybrid-Functional Calculations on the Incorporation of Na and K Impurities into the CuInSe 2 and CuIn 5 Se 8 Solar-Cell Materials

2015

International audience; We have studied the energetics, atomic, and electronic structure of Na and K point defects, as well as the (Na-Na), (K-K), and (Na-K) dumbbells in CuInSe2 and CuIn5Se8 solar cell materials by hybrid functional calculations. We found that although Na and K behaves somewhat similar; there is a qualitative difference between the inclusion of Na and K impurities. Namely, Na will be mostly incorporated into CuInSe2 and CuIn5Se8 either as an interstitial defect coordinated by cations, or two Na impurities will form (Na-Na) dumbbells in the Cu sublattice. In contrast to Na, K impurities are less likely to form interstitial defects. Instead, it is more preferable to accommod…

Qualitative difference[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]ChemistryElectronic structure[PHYS.NEXP]Physics [physics]/Nuclear Experiment [nucl-ex]Crystallographic defectSurfaces Coatings and FilmsElectronic Optical and Magnetic Materialslaw.inventionHybrid functionalCrystallographyGeneral Energysolar cell materialsImpuritylawInterstitial defectSolar cellhybrid-functionalPhysical and Theoretical Chemistry
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Amino Acid Chemistry in Solution:  Structural Study and Vibrational Dynamics of Glutamine in Solution. An ab Initio Reaction Field Model

1998

The self-consistent reaction field (SCRF) theory was used to study structural and vibrational features of the amino acid L-glutamine in solution. Raman and infrared spectra of this molecule in solutions of H 2O and D2O were recorded and measured. The bands were firstly assigned on the basis of the isotopic shifts. An ab initio quadratic force field at the 6-31 +G* level was achieved. The calculation simulated a polar solvent by placing the molecule in an ellipsoidal cavity surrounded by a continuum dielectric. The theoretical results, in terms of structural parameters, vibrational frequencies and descriptions, and infrared intensities, were in satisfactory agreement with the experimental da…

Quantitative Biology::BiomoleculesAqueous solutionChemistryIntermolecular forceAb initioInfrared spectroscopySurfaces Coatings and FilmsComputational chemistryNormal modeChemical physicsPolarizabilityMaterials ChemistryMoleculePhysics::Chemical PhysicsPhysical and Theoretical ChemistrySolvent effectsThe Journal of Physical Chemistry B
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Conformational Changes of a Single Semiflexible Macromolecule Near an Adsorbing Surface: A Monte Carlo Simulation

2009

The properties of a single semiflexible chain tethered to a planar surface with a long-ranged attractive potential are studied by means of Monte Carlo simulations. We employ the bond fluctuation lattice model and the Wang-Landau sampling technique. We present the diagram of states for semiflexible chains consisting of N = 64 and 128 monomer units as a function of temperature T and strength of the adsorption potential, epsilon(w), and also compare this with the diagram of states for flexible chains of these two lengths. The diagram of states consists of the regions of a coil, liquid globule, solid isotropic globule, adsorbed coil, and quasi-two-dimensional solid globule with nematic bond ord…

Quantitative Biology::BiomoleculesLattice model (finance)Condensed matter physicsMacromolecular SubstancesSurface PropertiesChemistryIsotropyMonte Carlo methodDiagramMolecular ConformationTemperatureBond orderSurfaces Coatings and FilmsCondensed Matter::Soft Condensed MatterCrystalModels ChemicalLiquid crystalChemical physicsPhase (matter)Materials ChemistryComputer SimulationAdsorptionPhysical and Theoretical ChemistryMonte Carlo MethodThe Journal of Physical Chemistry B
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Modeling of the Halloysite Spiral Nanotube

2015

A computational SCC-DFTB investigation dealing with the structure of hydrated and anhydrous halloysite nanotubes with a spiral geometry is reported. The peculiar characteristics of these systems are described in terms of tetrahedral and octahedral distortions, of hydrogen bonds geometries involving water molecules and the surfaces in the hydrated nanotube, and of the interlayer interactions in the anhydrous one. When the properties of the spiral nanotube are compared with those of the kaolinite sheet, a certain degree of intrinsic disorder in the halloysite systems is revealed, due to the intrinsic nature of the spiral folding. This is particularly evident in the hydrogen bonds network occu…

Quantitative Biology::BiomoleculesNanotubeMaterials scienceHydrogen bondElectronic Optical and Magnetic MaterialInorganic chemistrySurfaces Coatings and Filmengineering.materialCondensed Matter::Mesoscopic Systems and Quantum Hall EffectHalloysiteSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsFolding (chemistry)Condensed Matter::Materials ScienceGeneral EnergyEnergy (all)OctahedronChemical physicsengineeringAnhydrousMoleculeKaolinitePhysics::Chemical PhysicsPhysical and Theoretical Chemistry
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Monte Carlo simulation of block copolymers

2000

Monte Carlo simulations deal with crudely simplified but well-defined models and have the advantage that they treat the statistical thermodynamics of the considered model exactly (apart from statistical errors and problems due to finite size effects). Therefore, these simulations are well suited to test various approximate theories of block copolymer ordering, e.g. the self-consistent field theory. Recent examples of this approach include the study of block copolymer ordering at melt surfaces and confinement effects in thin films, adsorption of block copolymers at interfaces of unmixed homopolymer blends, the phase behavior of ternary mixtures of two homopolymers and their block copolymer, …

Quantitative Biology::BiomoleculesPolymers and PlasticsChemistryMonte Carlo methodSurfaces and InterfacesMicelleCondensed Matter::Soft Condensed MatterColloid and Surface ChemistryPhase (matter)CopolymerField theory (psychology)Self-assemblyStatistical physicsPhysical and Theoretical ChemistryTernary operationConfined space
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Unified model for the ultrafast decay of pyrimidine nucleobases.

2006

Ultrafast decay processes detected after absorption of UV radiation in gas-phase pyrimidine nucleobases uracil, thymine, and cytosine are ascribed to the barrierless character of the pathway along the low-lying 1(pipi*) hypersurface connecting the Franck-Condon region with an out-of-plane distorted ethene-like conical intersection with the ground state. Longer lifetime decays and low quantum yield emission are on the other hand related to the presence of a 1(pipi*) state planar minimum on the S1 surface and the barriers to access other conical intersections. A unified model for the three systems is established on the basis of accurate multiconfigurational CASPT2 calculations, whereas the ef…

Quantitative Biology::BiomoleculesPyrimidineQuantum yieldUracilUnified ModelConical intersectionPyrimidine NucleosidesSurfaces Coatings and FilmsNucleobaseThyminechemistry.chemical_compoundchemistryModels ChemicalMaterials ChemistryPhysics::Chemical PhysicsPhysical and Theoretical ChemistryAtomic physicsGround stateThe journal of physical chemistry. B
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Effects of a macroscopic fixed charge inhomogeneity on some membrane transport properties

1991

Abstract The effects that a macroscopic fixed charge inhomogeneity exerts on some membrane transport properties have been theoretically analyzed. To this end, we introduce two particular inhomogeneous fixed charge distributions on the basis of previous experimental work, and the transport equations are assumed to be the Nernst-Planck equations. It is found that a macroscopic redistribution of a constant quantity of fixed charge groups can modify the observed transport properties, the two inhomogeneous membranes here considered exhibiting permselectivities different from those of otherwise identical homogeneous membranes. Although the main emphasis of the study is on the basic aspects of tra…

Quantitative Biology::Subcellular ProcessesBiomaterialsColloid and Surface ChemistryMembraneChromatographyCondensed matter physicsChemistryFixed chargeHomogeneousExperimental workMembrane transportSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsJournal of Colloid and Interface Science
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