A complex plane representation of dielectric and mechanical relaxation processes in some polymers

1967/01/01 by S. Havriliak, S. Negami · 2,984 citations
Chemistry · Materials Science · Mathematics · #Chemistry #Complex plane #Composite material #Dielectric #Dispersion (optics) #Distribution function #Function (biology) #Geometry #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Optics #Physical chemistry #Physics #Plane (geometry) #Polarization (electrochemistry) #Polymer #Polymer Nanocomposites and Properties #Polymer crystallization and properties #Relaxation (psychology) #Statistical physics #Thermodynamics

paper · doi:10.1016/0032-3861(67)90021-3

published in Polymer 8, 161-210 (Elsevier BV)

openalex publication_date 1967/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Citations

• Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics

Cited by

• A Pick function approach for designing energy-decay preserving schemes of the Maxwell equations in Havriliak-Negami dispersive media
• Analysis of discrete energy-decay preserving schemes for Maxwell's equations in Cole-Cole dispersive medium
• Deep Eutectic Solvents: A Review of Fundamentals and Applications
• Glass transitions and dynamics in thin polymer films: dielectric relaxation of thin films of polystyrene
• Anomalous relaxation in dielectrics with Hilfer fractional derivative
• In search of the origin of long-time power-law decay in DNA solvation dynamics
• Towards Understanding Prolate 4f Monomers: Numerical Predictions and Experimental Validation of Electronic Properties and Slow Relaxation in a Muffin-shaped Er^III Complex
• Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium
• Effect of pressing temperature on β-phase ratio of electrospun PVDF
• Hyperstatistics
• On the Determination of the Transition to Pure Reptation by Dielectric Spectroscopy
• Extracting the contribution of conduction in permittivity measurements using the Kramers-Kronig relations
• Mechanical Spectroscopy on Volcanic Glasses
• Slow dynamics near glass transitions in thin polymer films
• Glass transition andα-relaxation dynamics of thin films of labeled polystyrene
• Neutron scattering studies of the model glass formerortho-terphenyl
• Relaxational processes in the one-dimensional Ising model with long-range interactions
• Formation of Glasses from Liquids and Biopolymers
• Contributions to the Piezoelectric Effect in Ferroelectric Single Crystals and Ceramics
• Some pioneers of the applications of fractional calculus
• On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
• Simultaneous and accurate measurement of the dielectric constant at many frequencies spanning a wide range
• Electric Noise Spectra of a Near-Surface Nitrogen-Vacancy Center in Diamond with a Protective Layer
• Resonance damping of the terahertz-frequency transverse acoustic phonon in the relaxor ferroelectricKTa1−xNbxO3
• Relaxor ferroelectricity and the freezing of short-range polar order in magnetite
• Stochastic tools hidden behind the empirical dielectric relaxation laws
• Broadband dielectric spectroscopy on human blood
• Dielectric relaxation of thin films of polyamide random copolymers
• Relaxation Equations: Fractional Models
• The Prabhakar or three parameter Mittag–Leffler function: Theory and application
• Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
• Compensating for Electrode Polarization in Dielectric Spectroscopy Studies of Colloidal Suspensions: Theoretical Assessment of Existing Methods. [europepmc]
• Dielectric Relaxation of La-Doped Zirconia Caused by Annealing Ambient. [europepmc]
• Enhanced Thermal Conductivity and Dielectric Properties of Iron Oxide/Polyethylene Nanocomposites Induced by a Magnetic Field. [europepmc]
• Extrinsic and Intrinsic Frequency Dispersion of High-k Materials in Capacitance-Voltage Measurements. [europepmc]
• Colossal permittivity behavior and its origin in rutile (Mg 1/3 Ta 2/3 ) x Ti 1-x O 2 . [europepmc]
• Acceleration of DNA melting kinetics using alternating electric fields. [europepmc]
• Polyarylene Ether Nitrile and Barium Titanate Nanocomposite Plasticized by Carboxylated Zinc Phthalocyanine Buffer. [europepmc]
• Effects of Diisocyanate Structure and Disulfide Chain Extender on Hard Segmental Packing and Self-Healing Property of Polyurea Elastomers. [europepmc]
• Importance of Mesoporous Silica Particle Size in the Stabilization of Amorphous Pharmaceuticals-The Case of Simvastatin. [europepmc]
• Calorimetric and Dielectric Study of Renewable Poly(hexylene 2,5-furan-dicarboxylate)-Based Nanocomposites In Situ Filled with Small Amounts of Graphene Platelets and Silica Nanoparticles. [europepmc]
• Molecular Dynamics and Physical Stability of Ibuprofen in Binary Mixtures with an Acetylated Derivative of Maltose. [europepmc]
• Interfacial Polarization in Thermoplastic Basalt Fiber-Reinforced Composites. [europepmc]
• Dielectric Spectroscopy and Application of Mixing Models Describing Dielectric Dispersion in Clay Minerals and Clayey Soils. [europepmc]
• Optical, Structural, and Dielectric Properties of Composites Based on Thermoplastic Polymers of the Polyolefin and Polyurethane Type and BaTiO 3 Nanoparticles. [europepmc]
• Comparative Physical Study of Three Pharmaceutically Active Benzodiazepine Derivatives: Crystalline versus Amorphous State and Crystallization Tendency. [europepmc]
• Dielectric, Thermal and Water Absorption Properties of Some EPDM/Flax Fiber Composites. [europepmc]
• Ternary Eutectic Ezetimibe-Simvastatin-Fenofibrate System and the Physical Stability of Its Amorphous Form. [europepmc]
• Novel Dispersion of 1D Nanofiber Fillers for Fast Ion-Conducting Nanocomposite Polymer Blend Quasi-Solid Electrolytes for Dye-Sensitized Solar Cells. [europepmc]
• Drug-Biopolymer Dispersions: Morphology- and Temperature- Dependent (Anti)Plasticizer Effect of the Drug and Component-Specific Johari-Goldstein Relaxations. [europepmc]
• Redox chemistry in the pigment eumelanin as a function of temperature using broadband dielectric spectroscopy. [europepmc]
• Cobalt Ferrite/Polyetherimide Composites as Thermally Stable Materials for Electromagnetic Interference Shielding Uses. [europepmc]
• Effect of bulky anions on the liquid-liquid phase transition in phosphonium ionic liquids: Ambient and high-pressure dielectric studies. [europepmc]
• Understanding Fenofibrate Release from Bare and Modified Mesoporous Silica Nanoparticles. [europepmc]
• Electrical Characterization of Epoxy Nanocomposite under High DC Voltage. [europepmc]
• Effect of Plasticization/Annealing on Thermal, Dynamic Mechanical, and Rheological Properties of Poly(Lactic Acid). [europepmc]