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Encyclopedia results for Permittivity

Permittivity





Encyclopedia results for Permittivity

  1. Permittivity

    effects. Such a medium can have a higher ratio of electric flux to charge permittivity than empty space In electromagnetism , absolute permittivity is the measure of the resistance that is encountered when forming an electric field in a medium. In other words, permittivity is a measure of how an electric field affects, and is affected by, a dielectric medium. The permittivity of a medium describes ... flux exists in a medium with a high permittivity per unit charge because of polarization effects. Permittivity is directly related to electric susceptibility , which is a measure of how easily a dielectric polarization density polarizes in response to an electric field . Thus, permittivity relates to a material s ability to transmit or permit an electric field. In SI units, permittivity is measured ... is the relative permittivity of the material, and math epsilon 0 math 8.85 10 sup 12 sup F m is the vacuum permittivity . Explanation In electromagnetism , the electric displacement field D represents ... charge migration and electric dipole reorientation. Its relation to permittivity in the very ... field is math mathbf D varepsilon mathbf E math where the permittivity is a scalar physics scalar . If the medium is anisotropic, the permittivity is a second rank tensor . In general, permittivity ... applied, humidity, temperature, and other parameters. In a nonlinear optics nonlinear medium , the permittivity can depend on the strength of the electric field. Permittivity as a function of frequency can take on real or complex values. In SI units, permittivity is measured in farads per meter F m ... . Vacuum permittivity main vacuum permittivity The vacuum permittivity sub 0 sub also called permittivity ... 0 sub above stems from being an irrational number . Relative permittivity main relative permittivity The linear permittivity of a homogeneous material is usually given relative to that of free space, as a relative permittivity sub r sub also called dielectric constant , although this sometimes only ...   more details



  1. Relative permittivity

    static permittivity.svg thumb right Temperature dependence of the relative static permittivity of water The relative permittivity of a material under given conditions reflects the extent to which it concentrates ... to a similar capacitor that has a vacuum as its dielectric. Terminology The relative permittivity of a material for a frequency of zero is known as its static relative permittivity or as its dielectric constant . Other terms used for the zero frequency relative permittivity include relative ... permittivity rather than the relative permittivity. ref cite book last King first Ronold W ... permittivity, ref name IEEE1997 ref name Jackson it may be either the static or the frequency dependent relative permittivity, depending on context. Relative permittivity is typically denoted ... omega varepsilon 0 , math where is the complex number complex frequency dependent Permittivity absolute permittivity of the material, and sub 0 sub is the vacuum permittivity . Relative permittivity ... . The imaginary portion of the permittivity corresponds to a phase shift of the polarization math .... By definition, the linear relative vacuum permittivity permittivity of vacuum is equal to 1, ref ... volume 78 page 309 bibcode 2006RvMP...78..309M ref The relative permittivity of a medium is related ... The relative static permittivity, sub r sub , can be measured for static electric field s as follows ... becomes frequency dependent and in general is called relative permittivity . An indirect technique ... modes of transmission. However, in these cases it is technically the relative permittivity that matters ... permittivity of a solvent is a relative measure of its Chemical polarity polarity . For example ... between the oxygen atoms, as the THF could be treated as a homologue of water. Complex permittivity Similar as for Complex permittivity absolute permittivity , relative permittivity can be decomposed ... r omega math . Lossy medium Again, similar as for Lossy medium absolute permittivity , relative permittivity ...   more details



  1. Vacuum permittivity

    names. The terms vacuum permittivity or its variants, such as permittivity in of vacuum , ref ... true ref permittivity of empty space , ref name Zemansky Cite book author FW Sears, Zemansky MW & Young ..., Mass. year 1985 page 40 isbn 0201078368 ref or permittivity of free space ref name Saleh B. E ... , as dielectric constant was sometimes used in the past for the absolute permittivity. ref name ... ref However, in modern usage dielectric constant typically refers exclusively to a relative permittivity ... static permittivity . ref name IUPAC ref Cite web author IEEE Standards Board url http ieeexplore.ieee.org ... sub 0 sub is decided, see the article about vacuum permeability sub 0 sub . Permittivity of real media ... where is the permittivity and sub r sub the relative static permittivity . In the Vacuum In electromagnetism ... equation Notes reflist Use dmy dates date September 2010 DEFAULTSORT Vacuum Permittivity Category ...   more details



  1. Epsilon number

    disamb An epsilon number may refer to a type of ordinal number, the smallest being epsilon nought Relative static permittivity physics For a comprehensive overview on uses of the symbol see Epsilon . ...   more details



  1. K value

    K value may refer to Thermal conductivity The force constant of a spring, see Hooke s law Vapor liquid equilibrium , the ratio of vapor concentration to liquid concentration at equilibrium The relative permittivity , Long comment to avoid being listed on short pages Disambig ...   more details



  1. E0

    E0 or E00 can refer to Epsilon naught , &epsilon sub 0 sub , in mathematics, the smallest transfinite ordinal number satisfying math varepsilon 0 omega varepsilon 0 math Vacuum permittivity , &epsilon sub 0 sub , in physics, the absolute dielectric permittivity of classical vacuum E0 cipher , a cipher used in the Bluetooth protocol E0 robot , a 1986 humanoid robot by Honda Standard electrode potential , E sup s o s sup , the measure of individual potential of a reversible electrode at standard state E0, the digital carrier for audio, specified in G.703 Eos Airlines IATA code E00, Cretinism ICD 10 code Letter NumberCombDisambig fr E0 it E0 ja E0 pl E0 ru E0 ...   more details



  1. Ground constants

    In telecommunication , ground constants are the electrical parameters of soil earth , such as electrical conductivity conductivity , permittivity , and magnetic permeability . The values of these parameters vary with the local chemical composition and density of the Earth. For a propagating electromagnetic wave , such as a surface wave propagating along the surface of the Earth, these parameters vary with frequency and direction. See also Ground electricity Ground References FS1037C MS188 Category Telecommunications terms ...   more details



  1. Lyddane-Sachs-Teller relation

    In condensed matter physics , the Lyddane Sachs Teller relation or LST relation determines the ratio of the natural frequency of longitudinal optical lattice vibrations phonon s math omega L math of an ion crystal to the natural frequency of the transverse optical lattice vibration math omega T math for k 0 which equals the ratio of the static permittivity math varepsilon st math Often also math varepsilon 0 math for the permittivity for frequencies in the visible range math varepsilon infty math often also math varepsilon omega s math . ref http books.google.de books?id 2KHcmmmbf gC&pg PA363&lpg PA363&dq r. h. lyddane&source bl&ots 0ogaDze8Vr&sig hqJp7LBue1fN0qySAdRqBXVQnv0&hl de&sa X&ei RyAhT ivA4Twsgb8qODJBw&sqi 2&ved 0CGsQ6AEwCQ v onepage&q r. 20h. 20lyddane&f false Laurence Charles, Robinson The Lyddane Sachs Teller relationship ref math frac omega L 2 omega T 2 frac varepsilon st varepsilon infty math The Lyddane Sachs Teller relation is named after the physicists R. H. Lydanne, Edward Teller , and R. G. Sachs. References reflist Category Condensed matter physics ...   more details



  1. DNG

    DNG can have the following meanings Digital Negative , also known as Adobe DNG and Adobe Digital Negative , a digital photography raw image format owned by Adobe Delaware National Guard Negative index metamaterials , also known as double negative metamaterials , materials in which both permittivity and magnetic permeability are less than zero. They are a class of Metamaterial Electromagnetic metamaterials Electromagnetic metamaterials . Degrassi The Next Generation , a Canadian television series See also Dolce & Gabbana Dany N Guessan disambig de DNG fr DNG it DNG pt DNG vi Dng ...   more details



  1. Electrorotation

    Unreferenced date December 2009 Electrorotation is the circular movement of an electrically Polarization electrostatics polarized particle. Similar to the slip of an Induction motor electric motor , it can arise from a Phase waves phase lag between an applied rotating electric field and the respective relaxation processes and may thus be used to investigate the processes or, if these are known or can be accurately described by models, to determine particle properties. The method is popular in Cell biology cellular biophysics , as it allows to measure cellular properties like Electrical conductivity conductivity and permittivity of cellular compartment s and their surrounding cell membrane membranes . See also Dielectric relaxation Dielectrophoresis Membrane potential Category Biophysics Category Electric and magnetic fields in matter it Elettrorotazione ...   more details



  1. MNG (disambiguation)

    wiktionary MNG MNG can stand for Multiple image Network Graphics MNG , the animated image file format. MNG is also a CreaturesWiki MNG files music file format in the Creatures artificial life program Creatures series of games. M u N e G ative material any material with a positive permittivity but with a negative Permeability electromagnetism permeability . Montgomery Amtrak station , West Virginia , United States Amtrak station code MNG. ISO 3166 trigram for Mongolia MNG Airlines , a Turkish cargo airline Mango clothing disambig de MNG es MNG eo MNG fr MNG it MNG lt MNG hu MNG egy rtelm s t lap nl MNG ja MNG ...   more details



  1. Peco (unit)

    Unreferenced date February 2007 for other uses peco disambiguation peco is the unit of measurement of the dielectric properties of concrete and other hydrating materials. The dielectric constant of concrete is about 4.5, but changes with time, as concrete hydrates , and with changes in formulation and or ingredients. The unit of peco is derived from the two elements of the dielectric constant which is a ratio , permittivity and electrical conductivity conductivity . peco was coined by Hydronix, Ltd. to represent a unit of output from their TitanCSM device which measures the dielectric properties of concrete as it hardens. DEFAULTSORT Peco Unit Category Concrete Measurement stub ...   more details



  1. SNG

    SNG may refer to Satellite news gathering Si n Nic Gearailt , Irish newsreader Scriptable Network Graphics, a specialized markup language for expressing the contents of a Portable Network Graphics file in a text form also a program by Eric S. Raymond to translate between these two formats. Metamaterial Classes of metamaterials Single negative metamaterial any material with either permittivity or Permeability electromagnetism permeability less than zero. They are commonly called metamaterial s. Sit and go poker tournament Slovak National Gallery Slovensk n rodn gal ria Soci t Nautique de Gen ve Commonwealth of Independent States Sodruzhestvo Nezavisimykh Gosudarstv in transliterated Russian Substitute natural gas or Synthetic natural gas Sustainable natural gas Sylloge Nummorum Graecorum disambig de SNG fr SNG ko SNG it SNG nl SNG ja SNG zh SNG ...   more details



  1. Epsilon (disambiguation)

    Epsilon is the fifth letter of the Greek alphabet. Epsilon may also refer to Epsilon album Epsilon album , by Blood Stain Child Epsilon Dreamtale album Epsilon Dreamtale album Epsilon genus , a genus of wasps EPSILON programming language Epsilon text editor Latin epsilon , a letter of the Latin alphabet Hurricane Epsilon Operation Epsilon , a World War II program GM Epsilon platform , an automobile platform Hyundai Epsilon engine Epsilon Island , in the Palmer Archipelago Epsilon Island, Bermuda Epsilon calculus Epsilon nought , an ordinal in mathematics Vacuum permittivity , physical constant &epsilon sub 0 sub Epsilon radiation Epsilon wave , a cardiogram pattern Epsilon, a subsidiary of marketing company Alliance Data See also Reversed Ze , a letter of the Cyrillic alphabet disambig ...   more details



  1. Metamaterial absorber

    A metamaterial absorber manipulates the loss components of the complex effective parameters, permittivity and magnetic permeability of metamaterials , to create a material with particularly high absorption. Loss is noted in applications of negative refractive index photonic metamaterials , Metamaterial antennas antenna systems metamaterials or transformation optics metamaterial cloaking , celestial mechanics , but is typically undesired in these applications. ref name Phys Rev Lett 100 ref name optics express 16 Complex number Complex permittivity and permeability are derived from metamaterials using the Photonic metamaterials effective medium approach. As effective media, metamaterials can be characterized with complex w sub 1 sub i sub 2 sub for effective permittivity and w sub 1 sub i sub 2 sub for effective permeability. Complex values of permittivity and permeability typically correspond to attenuation in a medium. Most of the work in metamaterials is focused on the real parts of these parameters, which relate to wave propagation rather than attenuation. The loss imaginary components are small in comparison to the real parts and are often neglected in such cases. However, the loss terms sub 2 sub and sub 2 sub can also be engineered to create high attenuation and correspondingly large absorption. By independently manipulating resonances in and , it is possible to absorb both the incident electric and magnetic field. Additionally, a metamaterial can be impedance matched to free space by engineering its permittivity and permeability, minimizing reflectivity. Thus, it becomes a highly capable absorber. ref name Phys Rev Lett 100 Cite journal last Landy first N. I. et al last2 Sajuyigbe first2 S. last3 Mock first3 J. last4 Smith first4 D. last5 Padilla first5 W. title Perfect Metamaterial Absorber journal Phys. Rev. Lett volume 100 pages 207402 2008 4 pages date 2008 05 21 url http www2.bc.edu padillaw PDF PRL 100 207402 2008.pdf doi 10.1103 PhysRevLett.100.207402 ...   more details



  1. Electric susceptibility

    relation . The susceptibility is related to its relative permittivity math , varepsilon r math ... dependence of the susceptibility leads to frequency dependence of the permittivity. The shape ... Permittivity Clausius Mossotti relation Linear response function Green Kubo relations References ...   more details



  1. Loss tangent

    . The component &prime represents the familiar lossless permittivity given by the product of the free space permittivity and the relative permittivity, or &prime sub 0 sub sub r sub . The loss ...   more details



  1. MIS capacitor

    File MIS Kondensator vertikal .svg thumb MIS structure Metal SiO sub 2 sub p Si in a vertical MIS capacitor A MIS capacitor is a capacitor formed from a layer of metal , a layer of Electrical insulation insulating material and a layer of semiconductor material. It gets its name from the initials of the metal insulator semiconductor structure. As with the MOS field effect transistor structure, for historical reasons, this layer is also often referred to as a MOS capacitor, but this specifically refers to an oxide insulator material. The maximum capacitance, C sub MIS max sub is calculated analogously to the plate capacitor math C mathrm MIS max varepsilon 0 varepsilon r cdot A over d math where &epsilon sub r sub is the insulator s relative permittivity &epsilon sub 0 sub is the permittivity of the vacuum A is the area d is the insulator thickness The production method depends on materials used it is even possible that polymers can be used as the insulator . We will consider an example of a MOS capacitor based on silicon and silicon dioxide . On the semiconductor substrate, a thin layer of oxide silicon dioxide is applied by, for example, thermal oxidation , or chemical vapour deposition and then Evaporation deposition coated with a metal. This structure and thus a capacitor of this type is present in every MIS field effect transistor, such as MOSFET s. For the steady reduction of the size of structures in microelectronics, the following facts are clear. From the formula above it follows that capacitance increases with ever thinner layers of insulation. For all MIS devices the insulation thickness cannot fall below a minimum of around 10  nm. Using thinner insultation than this leads to the occurrence of quantum tunnelling tunneling through the insulating material dielectric . Due to this, the use of so called High k dielectric high k materials as the insulator material is being investigated as of 2009 . Category Capacitors de MIS Kondensator ...   more details



  1. Book:Maxwell's equations

    saved book title Maxwell s equations subtitle cover image Maxwell sEquations.svg cover color Orange Maxwell s equations Overview Maxwell s equations Equations Amp re s circuital law Faraday s law of induction Gauss s law Gauss s law for magnetism Related equations Biot Savart law Electromagnetic wave equation Electromotive force Inverse square law Lorentz force Telegrapher s equations Physical quantities Electric field E field Electric displacement field D field Magnetic field B and H fields Current density Current density Displacement current Electric charge Magnetic monopole Magnetic charge Electric flux Magnetic flux Electric potential Magnetic potential Electric susceptibility Magnetic susceptibility Permittivity Permeability electromagnetism Permeability Magnetization Polarization density Polarization Scalar potential Vector potential Vacuum permeability Vacuum permittivity Speed of light Related phenomena Dielectric Diamagnetism Diamagnetic Electromagnetic induction Electromagnetic radiation Vacuum People Andr Marie Amp re Jean Baptiste Biot Michael Faraday Carl Friedrich Gauss Oliver Heaviside Joseph Henry Heinrich Hertz Rudolf Kohlrausch Heinrich Lenz Hendrik Lorentz James Clerk Maxwell Albert Abraham Michelson Edward Morley F lix Savart Wilhelm Eduard Weber Publications On Physical Lines of Force On Physical Lines of Force A Dynamical Theory of the Electromagnetic Field A Dynamical Theory of the Electromagnetic Field A Treatise on Electricity and Magnetism A Treatise on Electricity and Magnetism Related articles Classical electromagnetism and special relativity Covariant formulation of classical electromagnetism Electromagnetic four potential Maxwell s equations in curved spacetime Faraday paradox Moving magnet and conductor problem Luminiferous aether Michelson Morley experiment Category Wikipedia books on physics Maxwell s Equations ...   more details



  1. Frequency domain sensor

    Frequency domain FD sensor is an instrument developed for measuring soil moisture content. The instrument has an oscillating circuit, the sensing part of the sensor is embedded in the soil, and the operating frequency will depend on the value of soil s dielectric constant . There are two types of sensors Capacitance probe , or fringe capacitance sensor. Capacitance probes use capacitance to measure the dielectric permittivity of the soil. The volume of water in the total volume of soil most heavily influences the dielectric permittivity of the soil because the dielectric of water 80 is much greater than the other constituents of the soil mineral soil 4, organic matter 4, air 1 . Thus, when the amount of water changes in the soil, the probe will measure a change in capacitance from the change in dielectric permittivity that can be directly correlated with a change in water content. Circuitry inside some commercial probes change the capacitance measurement into a proportional millivolt output. Other configuration are like the neutron probe where an access tube made of PVC is installed in the soil. The probe consists of sensing head at fixed depth. The sensing head consists of an oscillator circuit, the frequency is determined by an annular electrode, fringe effect capacitor , and the dielectric constant of the soil. Electrical Electrical impedance impedance sensor , which consists of soil probes and using electrical impedance measurement. The most common configuration is based on the standing wave principle Gaskin & Miller, 1996 . The device comprises a 100  MHz sinusoidal oscillator , a fixed impedance coaxial transmission line , and probe wires which is buried in the soil. The oscillator signal is propagated along the transmission line into the soil probe, and if the probe s impedance differs from that of the transmission line, a proportion of the incident signal is reflected back along the line towards the signal source. Compared to time domain reflectometer TD ...   more details



  1. Radioglaciology

    Radioglaciology is the study of glacier s and ice sheet s using radar . It employs a geophysics geophysical method similar to ground penetrating radar that operates at frequency frequencies in the medium frequency MF , high frequency HF and very high frequency VHF portions of the radio frequency radio spectrum . Radioglaciology is sometimes referred to as ice penetrating radar or radio echo sounding . Glaciers are well suited to investigation by radar because the imaginary part of the permittivity of ice is small relative to its real part this ratio is called the dissipation factor loss tangent . The electrical conductivity conductivity of ice is small at radio frequency radio frequencies , so its permittivity Dielectric absorption processes dielectric absorption is also small. The primary goal of many radioglaciological surveys is to measure the thickness of a body of ice, which is an important boundary condition for ice flow models. Ice thicknesses greater than 4 km have been measured in East Antarctica . Internal Reflection physics reflection s have also been detected in many glacier Types of glaciers alpine glaciers and all modern ice sheets. These layers represent the internal stratigraphy and can also be used to constrain ice flow models. The shapes of these internal reflections generally follow the bedrock topography and they are often assumed to be isochronous . Disturbances in these reflections that are unrelated to bedrock topography can be used to understand past ice flow, for example the anticline anticlines arising from the Raymond Effect . The cause of the observed internal reflections partly depends on the frequency of the radar system used to detect them. There are three primary types of reflections In the firn and at depths where densification is occurring, small changes in density alter the real part of the permittivity, which can cause reflections. Once densification is complete, changes in density in an ice column are not expected to be large eno ...   more details



  1. Frequency dependence

    is visible in the absorption line s of cold gases. Permittivity frequency dependence of the susceptibility leads to frequency dependence of the permittivity. Photon The model accounted for the frequency ...   more details



  1. Capacitance probe

    Capacitance sensors or Dielectric sensors use capacitance to measure the dielectric permittivity of a surrounding medium. The configuration is like the neutron probe where an access tube made of PVC is installed in the soil. The probe consists of sensing head at fixed depth. The sensing head consists of an oscillator circuit, the frequency is determined by an annular electrode, fringe effect capacitor , and the dielectric constant of the soil. Each capacitor sensor consists of two metal rings mounted on the circuit board at some distance from the top of the access tube. These rings are a pair of electrodes, which form the plates of the capacitor with the soil acting as the dielectric in between. The plates are connected to an oscillator, consisting of an inductor and a capacitor. The oscillating electrical field is generated between the two rings and extends into the soil medium through the wall of the access tube. The capacitor and the oscillator form a circuit, and changes in dielectric constant of surrounding media are detected by changes in the operating frequency. The capacitance sensors are designed to oscillate in excess of 100  MHz inside the access tube in free air. The output of the sensor is the frequency response of the soil s capacitance due to its soil moisture level. Applications One application for such a device is measuring the water content of soil , where the volume of water in the total volume of soil most heavily influences the dielectric permittivity of the soil because the dielectric of water 80 is much greater than the other constituents of the soil mineral soil 4, organic matter 4, air 1 . When the amount of water changes in the soil, a probe will measure a change in capacitance due to the change in dielectric permittivity that can be directly correlated with a change in water content. Capacitance sensors are now widely used in irrigation scheduling in agriculture around the world. For more information see www.irrigationworld2000.com http ...   more details



  1. Dukhin number

    Dukhin number is a dimensionless quantity that characterizes the contribution of the surface conductivity to various electrokinetic and Electroacoustic music electroacoustic effects, as well as to electrical conductivity and permittivity of fluid heterogeneous systems. It was introduced by Lyklema in Fundamentals of Interface and Colloid Science . ref Lyklema, J. Fundamentals of Interface and Colloid Science , vol.2, page.3.208, 1995 ref IUPAC Technical Report prepared by a group of most known world experts on this subject uses this term explicitly. ref name PAC cite journal title Measurement and Interpretation of Electrokinetic Phenomena IUPAC Technical Report journal Pure and Applied Chemistry 10 , 2005 year 2005 first last coauthors A. V. DELGADO, F. GONZ LEZ CABALLERO, R. J. HUNTER, L. K. KOOPAL, AND J. LYKLEMA volume 77 issue 10 pages 1753 1805 id url http www.iupac.org objID Article pac7710x1753 format accessdate 2009 11 28 ref Dukhin number is a ratio of the surface conductivity big math kappa sigma math big to the fluid bulk electrical conductivity K sub m sub multiplied by particle size a math Du frac kappa sigma Kappa m a math There is another expression of this number that is valid when surface conductivity is associated only with ions motion above slipping plane in the double layer . In this case, value of the surface conductivity depends on potential, which leads to the following expression for the Dukhin number for symmetrical electrolyte with equal ions diffusion coefficient math Du frac 2 1 3m z 2 kappa a left mathrm cosh frac zF zeta 2RT 1 right math where parameter m characterizes contribution of electro osmosis into motion of ions within DL math m frac 2 varepsilon 0 varepsilon m R 2T 2 3 eta F 2 D math F is Faraday constant T is absolute temperature R is gas constant C is ions concentration in bulk z is ion valence chemistry valency is electrokinetic potential sub 0 sub is vacuum dielectric permittivity sub m sub is fluid dielectric permi ...   more details



  1. Rotational Brownian motion

    About polar molecules binary stars Rotational Brownian motion astronomy Rotational Brownian motion is the random change in the orientation of a polar molecule due to collisions with other molecules. It is an important element of theories of dielectric materials. The Polarization density polarization of a dielectric material is a competition between torque s due to the imposed electric field , which tend to align the molecules, and collisions, which tend to destroy the alignment. The theory of rotational Brownian motion allows one to calculate the net result of these two competing effects, and to predict how the permittivity of a dielectric material depends on the strength and frequency of the imposed electric field. Rotational Brownian motion was first discussed by Peter Debye ref Debye, P., Berichte der deutschen Physikalischen Gesellschaft , 15 , 777 1913 ref , who applied Einstein s theory of translational Brownian motion to the rotation of molecules having permanent electric dipole s. Debye ignored inertial effects and assumed that the molecules were spherical, with an intrinsic, fixed Molecular dipole moment dipole moment . He derived expressions for the dielectric relaxation dielectric relaxation time and for the Debye relaxation permittivity . These formulae have been successfully applied to many materials. However, Debye s expression for the permittivity predicts that the absorption tends toward a constant value when the frequency of the applied electric field becomes very large the Debye plateau . This is not observed instead, the absorption tends toward a maximum and then declines with increasing frequency. The breakdown in Debye s theory in these regimes can be corrected by including inertial effects allowing the molecules to be non spherical including dipole dipole interactions between molecules etc. These are computationally very difficult problems and rotational Brownian motion is a topic of much current research interest. See also Debye relaxation Bro ...   more details




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