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Permittivity

In liquid systems with chemically non-interacting components, molar polarization, according to deiinition, is additive value expressing composition in molar fractions  [Pg.513]

Here and further definitions indices without digits relate to additive values of mixture properties and symbols with digits to properties of component solvents. As [Pg.513]

In accordance with the rules of transfer of additive properties from one way of composition expression to another based on [9.22], it follows that [Pg.513]

Substituting f(e) function into [9.23], we obtain volume-fractional additivity of permittivity [Pg.513]

Vast experimental material on binary liquid systems shows that the equation [9.24] gives satisfaetory aeeuraey for systems formed of eomponents non-assoeiated in individual states. For example, dieleetrie permittivity describes exactly systems n-hexane-pyridine, chlorobenzene-pyridine by equation [9.24a], For systems with (one or some) associated components, it is necessary to consider fluctuations, which depend on concentration, density, orientation, etc. Consideration of e fluctuations shows that calculation of dielectric permittivity for mixture of two chemically non-interacting liquids requires Ae-values determined from equation [9.24a] and substituted to equation  [Pg.514]


T.J. Cui and C.H. Liang, Reconstruction of the permittivity profile of an inhomogeneous medium using an equivalent network method, 1993, IEEE Trans. Antennas Propagat., 41, pp. 1719-1726. [Pg.130]

T.M. Habashy, W.C. Chew, and E.Y. Chow, Simultaneous reconstruction of permittivity and conductivity profiles in a radially inhomogeneous slab, Radio Sci., 1986,21,... [Pg.130]

W.C. Chew and Y.M. Wang. Reconstruction of two-dimensional permittivity distribution using the distorted born iterative method. IEEE Transaetions on Medical Imaging, 9, 1990. [Pg.333]

Because of the presence of the lone pairs of electrons, the molecule has a dipole moment (and the liquid a high permittivity or dielectric constant). [Pg.269]

The dipole moments of the hydrogen halides decrease with increasing atomic number of the hydrogen, the largest difference occurring between HF and HCl, and association of molecules is not an important factor in the properties of FICl, HBr and HI. This change in dipole moment is reflected in the diminishing permittivity (dielectric constant) values from HF to HI. [Pg.327]

N is the number of point charges within the molecule and Sq is the dielectric permittivity of the vacuum. This form is used especially in force fields like AMBER and CHARMM for proteins. As already mentioned, Coulombic 1,4-non-bonded interactions interfere with 1,4-torsional potentials and are therefore scaled (e.g., by 1 1.2 in AMBER). Please be aware that Coulombic interactions, unlike the bonded contributions to the PEF presented above, are not limited to a single molecule. If the system under consideration contains more than one molecule (like a peptide in a box of water), non-bonded interactions have to be calculated between the molecules, too. This principle also holds for the non-bonded van der Waals interactions, which are discussed in Section 7.2.3.6. [Pg.345]

Also use constant dielectric Tor MM+aiul OPLS ciilciilatimis. Use the (lislance-flepeiident dielecinc for AMBER and BlO+to mimic the screening effects of solvation when no explicit solvent molecules are present. The scale factor for the dielectric permittivity, n. can vary from 1 to H(l. IlyperChem sets tt to 1. .5 for MM-r. Use 1.0 for AMBER and OPLS. and 1.0-2..5 for BlO-r. [Pg.104]

The first modification is to simply scale the dielectric permittivity of free space (T( ) by a scale factorD to rn ediate or dam pen thelong range electrostatic interactions. Its value was often set to be between 1.0 and 7H.0, the macroscopic value for water. A value of D=2..5, so that u=2..5Ug, wasoften used in early CIIARMM calculation s. [Pg.180]

Fi. 4.30 A sigmoidal dielectric model smoothly varies the effective permittivity from SO to 1 as shown. [Pg.221]

Li) he so-called distance-dependent dielectric models. The simplest implementation of a dis-i.iiice-dependent dielectric is to make the relative permittivity proportional to the distance. Tine interaction energy between two charges qi and qj then becomes ... [Pg.221]

A line joining two points may pass through regions of different permittivity. [Pg.222]

A fourth correction term may also be required, depending upon the medium that surrounds the sphere of simulation boxes. If the surrounding medium has an infinite relative permittivity (e.g. if it is a conductor) then no correction term is required. However, if the surrounding medium is a vacuum (with a relative permittivity of 1) then the following energy must be added ... [Pg.351]

It is necessary to use the bulk permittivity of the solvent in the equation, instead of the unknown but more correct effective permittivity of the medium between the charges in the transition state. [Pg.155]

Even the bulk permittivities of aqueous sulphuric acid solutions are unknown. [Pg.155]


See other pages where Permittivity is mentioned: [Pg.127]    [Pg.128]    [Pg.32]    [Pg.170]    [Pg.216]    [Pg.231]    [Pg.233]    [Pg.502]    [Pg.502]    [Pg.503]    [Pg.53]    [Pg.270]    [Pg.329]    [Pg.179]    [Pg.364]    [Pg.364]    [Pg.178]    [Pg.220]    [Pg.221]    [Pg.221]    [Pg.257]    [Pg.416]    [Pg.614]    [Pg.124]    [Pg.179]    [Pg.179]    [Pg.155]    [Pg.178]    [Pg.79]    [Pg.85]   
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Absolute permittivity of vacuum

Absorption coefficient complex permittivity

Acetonitrile permittivity

Acid base permittivity effect

Alumina dielectric permittivity

Application complex permittivity

Application static permittivities

Barium titanate, permittivity

Carbon dioxide permittivity

Ceramics permittivity

Chemical permittivity

Colloidal particles Permittivity

Complex Permittivity and Permeability

Complex dielectric permittivity

Complex permittivity

Complex permittivity approximation

Complex permittivity changes

Complex permittivity composite model

Complex permittivity data, analysis

Complex permittivity empirical formula

Complex permittivity model

Complex permittivity of water

Complex permittivity polar fluids

Complex permittivity response

Complex permittivity-frequency

Complex relative permittivity and dielectric loss

Compounding relative permittivity

Conductance studies over a range of relative permittivities

Cooling permittivity

Correlation of polymer content and electric permittivity

Coulombs Law and Permittivity

Crystal dielectric permittivity tensor

Dielectric constant (relative permittivity)

Dielectric constant permittivity

Dielectric permittivities

Dielectric permittivity

Dielectric permittivity and refractive index

Dielectric permittivity ceramics

Dielectric permittivity complexity

Dielectric permittivity fluids

Dielectric permittivity function

Dielectric permittivity measurements

Dielectric permittivity minerals

Dielectric permittivity models, theories

Dielectric permittivity of a vacuum

Dielectric permittivity particle-size dependence

Dielectric permittivity perovskites

Dielectric permittivity response

Dielectric permittivity rocks

Dielectric permittivity spectroscopy

Dielectric permittivity spectrum

Dielectric permittivity static electric fields

Dielectric permittivity tensor

Dielectric permittivity versus

Dielectric permittivity versus temperature

Dielectric permittivity water

Dielectric permittivity, electron-transfer

Dielectric permittivity, frequency dependence

Dielectric permittivity, nematics

Dielectric permittivity, pressure effects

Dielectric permittivity/properties

Dielectric perovskites relative permittivity

Dielectric polarization mechanism complex permittivity

Dielectric relaxation overall permittivity

Dielectric-experimental parameters Complex permittivity

Dipole Moments, Permittivity, and Polarography

Drude permittivity

Earth Resistivity and Permittivity

Earth permittivity

Effective permittivity

Electric permittivity

Electric permittivity measurements

Electric permittivity of vacuum

Electrical permittivity

Electrical permittivity of vacuum

Electrical permittivity, relative

Electrolyte permittivity

Epoxies, dielectric permittivity

Equilibria and Their Effect on the Permittivity of Electrolyte Solutions

Equivolume mixture permittivity

Experimental techniques permittivity

Frequency-dependent permittivity

Frequency-dependent permittivity, time-domain

Gases permittivity

Generalized permittivity

High frequency permittivity

High-Frequency Plasma Conductivity and Dielectric Permittivity

High-frequency permittivity, measuring

High-permittivity ceramics

Higher permittivity

Hydraulic permittivity

Hydrogen bonds complex permittivity

Hydrogen bonds permittivity

Hydrogen permittivity

Hydrogen-bonded molecules complex permittivity

INDEX permittivity properties

Inorganic compounds permittivity

Ionic solutions permittivity

Ionic solutions, permittivity decreases

Linear permittivity

Liquid solvent permittivity

Liquids permittivity

Low permittivity solvent

Low relative permittivity polymers

Low-frequency permittivities

Magnetic permittivity

Measuring effective dielectric constant (permittivity) of a powder

Medium-permittivity ceramics

Microwaves relative complex permittivity

Mixed permittivity

Models for the Complex Permittivity of Dielectric Sorbent-Sorbate Systems

Nanodielectrics permittivity

Nitrobenzene, relative permittivity

Nitrogen permittivity

Nonlinear permittivities

Optical dielectric permittivity

Optical permittivity

Optical permittivity electric field effects

Oxygen permittivity

Packed bed models of permittivity for capacitance probes

Permitivity permittivity

Permittance

Permittance

Permittance electric

Permittance specific

Permittivities

Permittivities

Permittivities frequency effects

Permittivities values

Permittivity (Dielectric Constant) of Gases

Permittivity (Dielectric Constant) of Inorganic Solids

Permittivity (Dielectric Constant) of Liquids

Permittivity (also

Permittivity Gradient Theory

Permittivity Inorganic Solids

Permittivity Perturbation theory

Permittivity absolute

Permittivity absolute temperature coefficient

Permittivity alternating currents

Permittivity and permeability of free space

Permittivity aqueous

Permittivity calculation

Permittivity changes

Permittivity coefficient

Permittivity components, temperature

Permittivity components, temperature dependence

Permittivity constants

Permittivity cryogenic fluids, temperature and pressure

Permittivity crystals

Permittivity dependence

Permittivity dielectric medium

Permittivity dispersion

Permittivity effects, polar molecule dielectric

Permittivity empty space

Permittivity ferroelectrics

Permittivity field effects

Permittivity fluid

Permittivity for water

Permittivity formula

Permittivity free space

Permittivity frequency dependence

Permittivity glass

Permittivity imaginary

Permittivity listed for various solvents

Permittivity local

Permittivity measurement

Permittivity measurements, dipole moments

Permittivity moisture

Permittivity negative

Permittivity of Gases

Permittivity of Isotropic Liquids

Permittivity of Liquids

Permittivity of Water at Various Frequencies

Permittivity of a Medium

Permittivity of a vacuum

Permittivity of electrolyte solutions

Permittivity of free space

Permittivity of medium

Permittivity of space

Permittivity of the fluid

Permittivity of the solvent

Permittivity of the vacuum

Permittivity of vacuum

Permittivity of water

Permittivity plastics

Permittivity plots

Permittivity profiles

Permittivity quartz

Permittivity response

Permittivity rubbers

Permittivity semiconductors

Permittivity solids

Permittivity spectral function

Permittivity static

Permittivity tensor

Permittivity water

Permittivity water molecules

Permittivity water, frequency dependence

Permittivity, correlation with

Permittivity, of dielectric

Permittivity, of particles

Polarisability and relative permittivity

Polarisability relative permittivity

Poly relaxed permittivity

Polycarbonate dielectric permittivity

Polyethylene permittivity

Pyroelectrics coefficient, high permittivity

Pyroelectrics high permittivity

Raman spectrum permittivity

Real permittivity

Relative Permittivity and Dielectric Constant

Relative dielectric permittivity

Relative electric permittivity

Relative permittivities

Relative permittivity

Relative permittivity and polarisation

Relative permittivity apparent

Relative permittivity complex

Relative permittivity constant

Relative permittivity defined

Relative permittivity definition

Relative permittivity dispersion

Relative permittivity emulsions

Relative permittivity field dependence coefficient

Relative permittivity fluorination

Relative permittivity free volume

Relative permittivity listed for various solvents

Relative permittivity of polymers

Relative permittivity of the solution

Relative permittivity polar polymers

Relative permittivity polyimides

Relative permittivity polymers

Relative permittivity pressure dependence

Relative permittivity relaxor ferroelectrics

Relative permittivity static

Relative permittivity tensor

Relative permittivity variation with temperature

Relative permittivity water

Relative permittivity, piezoelectric

Relaxation time Relaxed” permittivity

Silicone, dielectric permittivity

Size Effect in the Dielectric Permittivity of Crystals

Solvent infinite frequency permittivity

Solvent optical permittivity

Solvent permittivity

Solvent permittivity, frequency dependence

Solvent relative permittivity

Solvent static permittivity

Solvents, mixed aqueous permittivity

Static dielectric permittivity

Static permittivity, liquid crystals

Static solvent permittivity Debye model

Static solvent permittivity, electrolyte solution

Subject permittivity

Superheated permittivity

Tantalum oxide, permittivity

Temperature coefficient permittivity

The Complex Dielectric Permittivity

The Dielectric Permittivity Tensor

The Permittivity Tensor for Polymer Systems

The Permittivity of Electrolyte Solutions

The Relative Permittivity Tensor

Theoretical relative permittivity

Third-order permittivity

Titanates, dielectric permittivity

Titanium relative permittivity

Vacuum permittivity

Water complex permittivity

Water permittivity, as function of frequency

Water spectra permittivity

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