Search results for "Cole–Cole equation"

showing 10 items of 20 documents

Broadband dielectric spectroscopy of 0.4PMN-0.3PSN-0.3PZN ceramics

2007

In this paper, results of the broadband dielectric spectroscopy of 0.4PbMg1/3Nb2/3O3-0.3PbZn1/3Nb2/3O3-0.3PbSc1/2Nb1/2O3(0.4PMN-0.3PZN-0.3PSN) are presented. Dielectric spectra of these solutions were investigated in a broad frequency range from 20 Hz to 100 GHz. Very strong and broad dielectric relaxation was analyzed in terms of distribution of relaxations times, using Tichonov regularization method. It revealed slowing down of the longest relaxation and the mean relaxation times in the agreement with the Vogel-Fulcher law and the Arrhenius law, respectively.

Arrhenius equationHistoryMaterials scienceCondensed matter physicsAnalytical chemistryDielectricComputer Science ApplicationsEducationDielectric spectroscopysymbols.namesakeDielectric spectrumvisual_artvisual_art.visual_art_mediumsymbolsCeramicSpectroscopyCole–Cole equationBroadband dielectric spectroscopyJournal of Physics: Conference Series
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Molecular association and dynamics in n-pentanol and 2-methyl-2-butanol

1985

Static dielectric constant, viscosity, density, ultrasonic and dielectric relaxation measurements are reported for two pentanol isomers (n-pentanol and 2-methyl-2-butanol) in a wide range of temperatures. The results show a different extent of H-bonds self-association in relation to the molecular geometry of the alcohol. The activation energies obtained from dielectric and ultrasonic studies are compared with those obtained from viscous flow. Such a comparison, together with the analysis of all the dielectric and ultrasonic relaxation data, show that in n-pentanol a correlation between viscosity and ultrasonic relaxation exists, while dielectric relaxation is not correlated with the other t…

ChemistryBiophysicsThermodynamicsDielectricCondensed Matter PhysicsViscositychemistry.chemical_compoundMolecular geometryComputational chemistryRelaxation (physics)MoleculeUltrasonic sensorPhysical and Theoretical ChemistryMolecular Biology2-ButanolCole–Cole equationMolecular Physics
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High-field nuclear spin relaxation in liquids and solids

1990

The authors generalise the standard theory of nuclear spin relaxation to situations in which the Markovian approximation is not applicable. Expressions for generalised frequency-dependent spin relaxation functions are presented. They show that under high-field conditions the relaxation of longitudinal magnetisation is exponential independent of the particular time dependence of the correlation functions.

Density matrixSpin–spin relaxationMagnetizationCondensed matter physicsChemistrySpin–lattice relaxationEquations of motionRelaxation (physics)Condensed Matter::Strongly Correlated ElectronsGeneral Materials ScienceCondensed Matter PhysicsCole–Cole equationExponential functionJournal of Physics: Condensed Matter
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Dielectric Relaxation of a Polybutadiene Melt at a Crystalline Graphite Surface: Atomistic Molecular Dynamics Simulations

2014

Dielectric experiments are an indispensable tool to further our understanding of the relaxation behavior of polymers, not only in bulk samples but also in confined situations. A chemically realistic Molecular Dynamics simulation, in which all information about molecular motions is available, can shed light onto the questions of heterogeneity and anisotropy of the underlying molecular relaxation processes which lead to the ensemble averaged experimental dielectric signal. In this contribution, we present a careful analysis of the dielectric response of a weakly polar and confined polymer, 1,4-polybutadiene between graphite walls. The relaxation of the segmental dipole moments was obtained in…

Fluctuation-dissipation theoremMolecular dynamicsDipolesymbols.namesakeMaterials scienceComputational chemistryChemical physicsRelaxation (NMR)symbolsDielectricAnisotropyCole–Cole equationDebye
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Distribution of relaxation times in 0.5PMN-0.5PSN ceramics

2007

Dielectric properties of chemically ordered and disordered 0.5PbMg1/3Nb2/3O3-0.5 PbSc1/2Nb1/2O3 (0.5PMN-0.5PSN) ceramics were investigated in frequency range from 20 Hz to 3 GHz by dielectric spectroscopy. The broad dielectric dispersion, similar to this typically obtained for relaxor ferroelectrics (RFE), was observed in both ceramics below 350 K. The frequency dependence of dielectric permittivity of these ceramics were analyzed in terms of the distribution of relaxation times and showed the splitting into two components at lower temperatures. The longest relaxation times part slows down following Vogel-Fulcher law with lower freezing temperature compare with typical RFE like PbMg1/3Nb2/3…

HistoryMaterials scienceCondensed matter physicsDielectric dispersionDielectricFrequency dependenceComputer Science ApplicationsEducationDielectric spectroscopyDistribution (mathematics)visual_artvisual_art.visual_art_mediumRelaxation (physics)CeramicCole–Cole equationJournal of Physics: Conference Series
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Description of Relaxor State in Na1/2Bi1/2TiO3-SrTiO3-PbTiO3 System of Solid Solutions

2011

Vogel-Fulcher law, traditionally applied to describe dispersion of dielectric permittivity in relaxor ferroelectrics, requires introduction of two different relaxation mechanisms above and below freezing temperature correspondingly. Extending distribution function of relaxation times, previously known for low-temperature region, allows creating common description of relaxation in all range, where distribution function of relaxation times can be regarded as wide, without freezing at certain temperature.

Materials scienceCondensed matter physicsDielectric permittivityState (functional analysis)Condensed Matter PhysicsElectronic Optical and Magnetic MaterialsCondensed Matter::Materials ScienceDistribution functionControl and Systems EngineeringDispersion (optics)Materials ChemistryCeramics and CompositesRange (statistics)Relaxation (physics)Electrical and Electronic EngineeringSolid solutionCole–Cole equationIntegrated Ferroelectrics
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High frequency dielectric relaxation in BaTio3derived materials

1992

Abstract A systematic study of the dielectric relaxation phenomenon has been carried out for ceramics with compositions derived from barium titanate in the frequency and temperature ranges 1 MHz–1 GHz and 250–500 K, respectively. Whatever the composition may be, a minimum of the relaxation frequency and a maximum of the dielectric dispersion appears at each phase transition temperature. The dipole-type relaxation is correlated to coherent displacements of the ions in the octahedron sites ordered either along chains or in 3D-lattice.

Materials scienceCondensed matter physicsDielectricCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsIonDielectric spectroscopyCondensed Matter::Materials Sciencechemistry.chemical_compoundNuclear magnetic resonancechemistryOctahedronLattice (order)visual_artBarium titanatevisual_art.visual_art_mediumCeramicCole–Cole equationFerroelectrics
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Broad Distribution of Relaxation Times in 0.6PMN-0.4PZN Relaxor Ceramics

2007

In this paper dielectric spectra of 0.6PMN-0.4PZN ceramic obtained from broadband dielectric spectroscopy is presented. Measurements revealed an unusual relaxor like nature. Two different processes in the dielectric spectra have been observed. High frequency, or short relaxation times, behaviour is typical for ferroelectric crystals. Longest relaxation times do not follow Vogel—Fulcher dependence, which is unusual for relaxors.

Materials scienceCondensed matter physicsRelaxation (NMR)Condensed Matter PhysicsFerroelectricityZirconateElectronic Optical and Magnetic MaterialsDielectric spectroscopyDistribution (mathematics)Nuclear magnetic resonancevisual_artvisual_art.visual_art_mediumCeramicCole–Cole equationBroadband dielectric spectroscopyFerroelectrics
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Dielectric relaxation in crystals and ceramics derived from BaTiO3

1992

Abstract A dielectric relaxation is reported in a crystal of BaTiO3 and in ceramics with composition (Ba1-yCay)TiO3 (0≤y≤0.2) in the frequency and temperature ranges 106 to 109 Hz and 350 to 450 K, respectively. A minimum of the relaxation frequency occurs close to the ferroelectric Curie temperature. The relaxation is of dipolar-type.

Materials scienceCondensed matter physicsRelaxation frequencyDielectricCondensed Matter PhysicsFerroelectricityElectronic Optical and Magnetic MaterialsCrystalvisual_artvisual_art.visual_art_mediumRelaxation (physics)Curie temperatureCeramicCole–Cole equationFerroelectrics
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Dipolar Glass-Like Perovskite Sr0.8Bi0.2TiO3Ceramic

2010

In this work lead-free Sr0.8Bi0.2TiO3 ceramic have been investigated in the frequency range from 20 Hz to 36 GHz. The obtained results show pronounced dispersion below room temperature. It looks more similar to the one observed in dipolar glasses as in relaxors. Calculated relaxation time distribution function broadens towards longest relaxation times with decreasing temperature. The obtained most probable relaxation time fulfills Vogel-Fulcher relationship with the following parameters: dipole activation energy EA/kB = 1718 K, freezing temperature T0 = 65 K, attempt relaxation time, referring to dipole relaxation at very high temperatures, τ0 = 5.5·10−14 s.

PermittivityMaterials scienceCondensed matter physicsRelaxation (NMR)Activation energyCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsDipoleDistribution functionNuclear magnetic resonancevisual_artvisual_art.visual_art_mediumCeramicCole–Cole equationPerovskite (structure)Ferroelectrics
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