Search results for "formula"

showing 10 items of 755 documents

Three-photon resonance ionization of atomic Mn in a hot-cavity laser ion source using Ti:sapphire lasers

2015

Three-photon resonance ionization of atomic manganese (Mn) in a hot-cavity ion source using Ti:sapphire lasers has been demonstrated. Three-step ionization schemes employing different intermediate levels and Rydberg or autoionizing (AI) states in the final ionization step are established. Strong AI resonances were observed via the 3d54s5s f 6S5/2 level at 49 415.35 cm−1, while Rydberg transitions were reached from the 3d54s4d e 6D9/2,7/2,5/2 levels at around 47 210 cm−1. Analyses of the strong Rydberg transitions associated with the 3d54s4d e 6D7/2 lower level indicate that they belong to the dipole-allowed 4d → nf 6F°9/2,7/2,5/2 series converging to the 3d54s 7S3 ground state of Mn II. Fro…

PhysicsThermal ionizationMolar ionization energies of the elementsCondensed Matter PhysicsAtomic and Molecular Physics and OpticsIon sourceAtmospheric-pressure laser ionizationsymbols.namesakeExcited stateIonizationRydberg formulasymbolsAtomic physicsElectron ionizationJournal of Physics B: Atomic, Molecular and Optical Physics
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Collisional and thermal ionization of sodium Rydberg atoms III. Experiment and theory fornS andnD states withn= 8–20 in crossed atomic beams

2005

The results of experimental and theoretical studies of collisional ionization of Na Rydberg atoms in nS and nD(n = 8–20) states are presented. Molecular and atomic ions from associative ionization and photoionization by blackbody radiation were detected after pulsed laser excitation of Rydberg states in crossed Na atomic beams. An original method of determination of associative ionization rate constants based on the measurement of ratios of molecular and atomic ion signals was used, which did not require the determination of absolute number density of Rydberg atoms. The measured rate constants of associative ionization of Rydberg atoms in collisions with ground-state Na atoms are compared w…

PhysicsThermal ionizationPhotoionizationCondensed Matter PhysicsAtomic and Molecular Physics and Opticssymbols.namesakeRydberg constantIonizationRydberg atomPhysics::Atomic and Molecular ClusterssymbolsRydberg formulaRydberg matterPhysics::Atomic PhysicsAtomic physicsElectron ionizationJournal of Physics B: Atomic, Molecular and Optical Physics
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Longitudinal counterflow in turbulent liquid helium: velocity profile of the normal component

2013

In this paper, the velocity profile of the normal component in the stationary flow of turbulent superfluid helium inside a cylindrical channel is determined, making use of a one-fluid model with internal variables derived from Extended Thermodynamics. In the hypothesis of null barycentric velocity of the fluid (the so-called counterflow situation) it is seen that, in the presence of a sufficiently high vortex length density, the velocity profile of the normal component becomes very flat in the central region of the channel. Thus, a central flat profile of the normal fluid does not necessarily imply that the flow of the normal component is turbulent.

PhysicsTurbulenceChézy formulaLiquid heliumApplied MathematicsGeneral MathematicsFlow (psychology)Normal componentGeneral Physics and AstronomyMechanicsNull (physics)Vortexlaw.inventionPhysics::Fluid DynamicsClassical mechanicslawTurbulent superfluid helium. Normal fluid profile. One-fluid model. Quantized vortices. Heat transfer.Settore MAT/07 - Fisica MatematicaSuperfluid helium-4Zeitschrift für angewandte Mathematik und Physik
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Calibration of Cholesky Auxiliary Basis Sets for Multiconfigurational Perturbation Theory Calculations of Excitation Energies

2010

The accuracy of auxiliary basis sets derived from Cholesky decomposition of two-electron integrals is assessed for excitation energies calculated at the state-average complete active space self-consistent field (CASSCF) and multiconfigurational second order perturbation theory (CASPT2) levels of theory using segmented as well as generally contracted atomic orbital basis sets. Based on 196 valence excitations in 26 organic molecules and 72 Rydberg excitations in 3 organic molecules, the results show that Cholesky auxiliary basis sets can be used without compromising the accuracy of the multiconfigurational methods. Specifically, with a decomposition threshold of 10(-4) au, the mean error due…

PhysicsValence (chemistry)Mean squared errorComputer Science Applicationssymbols.namesakeAtomic orbitalRydberg formulasymbolsComplete active spacePhysical and Theoretical ChemistryAtomic physicsBasis setExcitationCholesky decompositionJournal of Chemical Theory and Computation
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Multiconfigurational perturbation theory (CASPT2) applied to the study of the low-lying singlet and triplet excited states of cyclopropene

1996

The electronic spectrum of cyclopropene has been studied using multiconfigurational second-order perturbation theory (CASPT2) with extended ANO-type basis sets. The calculation comprises two valence states and the 3s, 3p, 3d members of the Rydberg series converging to the π and σ ionization limits. A total of twenty singlet and twenty triplet excited states have been analyzed. The results confirm the valence nature of the lowest energy singlet-singlet band and yield a conclusive assignment: the first dipole-allowed transition in cyclcopropene is due to absorption to a (σ → π*) state. The (π → π*) (V) state is interleaved among a number of Rydberg states in the most intense band of the syste…

PhysicsValence (chemistry)Spectral bandsCyclopropeneAtomic and Molecular Physics and OpticsSpectral linechemistry.chemical_compoundsymbols.namesakechemistryExcited stateIonizationRydberg formulasymbolsSinglet stateAtomic physicsZeitschrift f�r Physik D Atoms, Molecules and Clusters
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Finite renormalization effects in the induceds¯dHvertex

1986

The finite renormalization contributions to the s-bard-italicH-italic vertex are examined in the standard model. They are explicitly shown to cancel each other among diagrams, so that the lower bound on the Higgs-boson mass M-italic/sub H-italic/>325 MeV is not affected by such effects.

PhysicsVertex (graph theory)Computer Science::Information RetrievalHigh Energy Physics::PhenomenologyQuark modelFísicaLie groupElementary particleSymmetry groupUpper and lower boundsRenormalizationStandard Model (mathematical formulation)Quantum mechanicsPhysical Review D
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Advanced models for nonlocal magneto-electro-elastic multilayered plates based on Reissner mixed variational theorem

2019

In the present work, nonlocal layer-wise models for the analysis of magneto-electro-elastic multilayered plates are formulated. An Eringen non-local continuum behaviour is assumed for the layers material; in particular, as usual in plate theories, partial in-plane nonlocality is assumed whereas local constitutive behaviour is considered in the thickness direction. The proposed plate theories are obtained via the Reissner Mixed Variational Theorem, assuming the generalized displacements and generalized out-of-plane stresses as primary variables, and expressing them as through-the-thickness expansions of suitably selected functions, considering the expansion order as a free parameter. In the …

PhysicsWork (thermodynamics)Classical mechanicsMechanics of MaterialsContinuum (topology)Advanced plate theories Nonlocal plate theories Carrera Unified Formulation Reissner Mixed Variational Theorem Smart plates Layerwise modelsMechanical EngineeringGeneral MathematicsGeneral Materials ScienceSettore ING-IND/04 - Costruzioni E Strutture AerospazialiMagnetoCivil and Structural EngineeringMechanics of Advanced Materials and Structures
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Landé factor and lifetime measurements in even-parity Rydberg series of PbIusing time-resolved laser spectroscopy

2001

Lande gJ factors and lifetimes for the levels in the even-parity Rydberg series 6pnp (n = 9-16) and 6pnf (n = 6-12) as well as for the levels from perturbing configurations of neutral lead have been measured using laser-induced fluorescence and Zeeman quantum-beat techniques. Two-step excitation was performed in a thermal atomic lead beam. Strong perturbations in the Rydberg series are manifested both in the gJ factor and lifetime data.

PhysicsZeeman effectSeries (mathematics)Atom and Molecular Physics and OpticsLandé g-factorCondensed Matter PhysicsAtomic and Molecular Physics and Opticssymbols.namesakesymbolsRydberg formulaPhysics::Atomic PhysicsAtomic physicsSpectroscopyExcitationBeam (structure)Parity bitJournal of Physics B: Atomic, Molecular and Optical Physics
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Solving the Cut-Off Wave Numbers in Partially filled Rectangular Waveguides with Ferrite by the Cauchy Integral Method

2005

The modal analysis of the off-centered rectangular waveguide loaded with a vertical slab of ferrite material, biased in the y-direction by a DC magnetic field, leads to the resolution of a transcendent equation whose infinite solutions are the TE/sub m0/ cutoff wave numbers in the guide. The method based on the Cauchy integral (Delvest L.M. and Lyness, J.N., 1967) is becoming very popular for solving such equations. This powerful method is described for solving the propagation constant in a partially ferrite filled waveguide. The method is used to calculate the propagation constant of the fundamental TE mode for some configurations used in the literature about ferrites. Results obtained in …

Physicsbusiness.industryModal analysisMathematical analysisIntegral equationlaw.inventionTransverse modeOpticslawFerrite (magnet)WavenumberPropagation constantbusinessWaveguideCauchy's integral formula2005 IEEE Antennas and Propagation Society International Symposium
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Rydberg and autoionizing states of tellurium studied by laser resonance ionization spectroscopy

2019

Multistep laser-resonance-ionization spectroscopy of tellurium (Te) has been performed at TRIUMF's off-line laser ion source test stand. Six clean and regular even-parity Rydberg series $5{p}^{3}$ $({^{4}S}_{3/2}^{\ensuremath{\circ}})$ $np\phantom{\rule{4pt}{0ex}}^{3}P_{0,1,2}$, $np\phantom{\rule{4pt}{0ex}}^{5}P_{1,2}$, and $nf\phantom{\rule{4pt}{0ex}}^{3}F_{2}/^{5}F_{1,2}$ were observed. The ionization potential of Te was extracted from the measured series as $72669.114{(56)}_{\mathrm{stat}}{(45)}_{\mathrm{sys}}\phantom{\rule{4pt}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$. Excited from two different intermediate levels, seven odd-parity autoionization Rydberg series converging to the $5{s}^{2}…

Physicschemistry.chemical_element01 natural sciences3. Good health010305 fluids & plasmassymbols.namesakechemistryAutoionizationExcited stateIonization0103 physical sciencesRydberg formulasymbolsLaser resonanceAtomic physicsIonization energy010306 general physicsSpectroscopyTelluriumPhysical Review A
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