Appendix C: Experimental data used to construct the interpolation function for the dielectric constant of water

2011 ◽  
pp. 523-540
Author(s):  
William Ellison
Keyword(s):  
Experimental Data ◽  
Dielectric Constant ◽  
Interpolation Function

Contributions to Silicon-Hydrogen Bond-Stretching Frequency in Amorphous Si Alloys

1992 ◽  
Vol 258 ◽  
Author(s):  
Z. Jing ◽  
J. L. Whitten ◽  
G. Lucovsky
Keyword(s):  
Experimental Data ◽  
Hydrogen Bond ◽  
Dielectric Constant ◽  
Ab Initio ◽  
Effective Dielectric Constant ◽  
Bond Energies ◽  
Calculated Frequency ◽  
Bond Stretching ◽  
Amorphous Si ◽  
Good Agreement

ABSTRACTWe have performed ab initio calculations and determined the bond-energies and vibrational frequencies of Si-H groups that are: i) attached to Si-atoms as their immediate, and also more distant neighbors; and ii) attached to three O-atoms as their immediate neighbors, but are connected to an all Si-atom matrix. These arrangements simulate bonding geometries on Si surfaces, and the calculated frequency for i) is in good agreement with that of an Si-H group on an Si surface. To compare these results with a-Si:H alloys it is necessary to take into account an additional factor: the effective dielectric constant of the host. We show how to do this, demonstrating the way results of the ab initio calculations should then be compared with experimental data.

scholarly journals Density and Viscosity of LiCl, LiBr, LiI and Kcl in Aqueous Methanol at 313.15K

2021 ◽  
Vol 37 (5) ◽  
pp. 1083-1090
Author(s):  
V. V. Kadam ◽  
A. B. Nikumbh ◽  
T. B. Pawar ◽  
V. A. Adole
Keyword(s):  
Experimental Data ◽  
Dielectric Constant ◽  
Apparent Molar Volumes ◽  
Strong Electrolyte ◽  
Aqueous Methanol ◽  
Molar Volumes ◽  
Solvent Interactions ◽  
Viscosity Coefficients ◽  
Physicochemical Processes ◽  
Increase With Increase

The densities and viscosities of electrolytes are essential to understand many physicochemical processes that are taking place in the solution. In the present research, the densities and viscosities of lithium halides, LiX (X = Cl, Br, I ) and KCl in (0, 20, 40, 50, 60, 80 and 100) mass % of methanol + water at 313.15K were calculated employing experimental densities (ρ), the apparent molar volumes( ϕv) and limiting apparent molar volumes (0v) of the electrolytes. The (0v) of electrolyte offer insights into solute-solution interactions. In terms of the Jones-Dole equation for strong electrolyte solution, the experimental data of viscosity were explored. Viscosity coefficients A and B have been interpreted and discussed. The B-coefficient values in these systems increase with increase of methanol in the solvents mixtures. This implied that when the dielectric constant of the solvent decreases, so do the solvent-solvent interactions in these systems.

scholarly journals Investigation of AC-Measurements of Epoxy/Ferrite Composites

Nanomaterials ◽  
2020 ◽  
Vol 10 (3) ◽  
pp. 492 ◽  
Author(s):  
Moustafa A. Darwish ◽  
Alex V. Trukhanov ◽  
Oleg S. Senatov ◽  
Alexander T. Morchenko ◽  
Samia A. Saafan ◽  
...  
Keyword(s):  
Experimental Data ◽  
Dielectric Constant ◽  
Dielectric Properties ◽  
High Frequency ◽  
Precipitation Method ◽  
Semiconductor Behavior ◽  
Ferrite Composites ◽  
Co Precipitation ◽  
Theoretical Results ◽  
Composite Samples

A pure ferrite and epoxy samples as well as the epoxy/ferrite composites with different 20 wt.%, 30 wt.%, 40 wt.%, and 50 wt.% weight ferrite contents have been prepared by the chemical co-precipitation method. AC-conductivity and dielectric properties such as the dielectric constant and dielectric loss of the prepared samples have been studied. The obtained results showed that the samples had a semiconductor behavior. The dielectric constant of the composites has been calculated theoretically using several models. For the composite sample that contains 20 wt.% of ferrites, these models give satisfactory compliance, while for the composite samples with a higher percentage of nanofillers, more than 30 wt.% theoretical results do not coincide with experimental data. The investigated polymer has very low conductivity, so this type of polymer can be useful for high-frequency applications, which can reduce the losses caused by eddy current. Thus, the prepared samples are promising materials for practical use as elements of microwave devices.

THE STATIC DIELECTRIC CONSTANT OF NaCl, KCl, AND KBr AT TEMPERATURES BETWEEN 4.2 °K AND 300 °K

1966 ◽  
Vol 44 (10) ◽  
pp. 2211-2230 ◽  
Author(s):  
M. C. Robinson ◽  
A. C. Hollis Hallett
Keyword(s):  
Experimental Data ◽  
Dielectric Constant ◽  
Debye Temperature ◽  
Relative Error ◽  
Low Temperatures ◽  
Absolute Error ◽  
Static Dielectric Constant ◽  
Good Agreement

Measurements of the static dielectric constant, εst, were made, using a transformer bridge with an absolute error of about 0.5% and a relative error of less than 0.02%. At 300 °K, the values obtained for εst were 5.90, 4.81, and 4.88, while 104(1/εst)(∂εst/∂T)p, was found to be 3.21, 2.93, and 3.10 (°K)−1 for NaCl, KCl, and KBr respectively, in good agreement with other recent measurements.At low temperatures, the curve of εst versus temperature was found to show a minimum, but it has not been found possible to explain all of the observed increase in εst with decreasing temperature below the minimum by the presence of impurities.The variation of εst with temperature is analyzed in detail on the basis of the evaluation made by Szigeti of the anharmonic contribution, G, to the dielectric constant. Estimates of (∂εst/∂T)v, which is equal to (∂G/∂T)v according to Szigeti (1961), have been made from the experimental data, and the curves of (∂εst/∂T)v versus temperature show an unexpected maximum at a temperature near θD/4,where θD is the Debye temperature.

scholarly journals Dielectric Behavior of Ceramic (BST)/Epoxy Thick Films

2009 ◽  
Vol 2009 ◽  
pp. 1-6 ◽  
Author(s):  
N. Hadik ◽  
A. Outzourhit ◽  
A. Elmansouri ◽  
A. Abouelaoualim ◽  
A. Oueriagli ◽  
...  
Keyword(s):  
Experimental Data ◽  
Dielectric Constant ◽  
Composite Materials ◽  
Dielectric Loss ◽  
Volume Fraction ◽  
Epoxy Composite ◽  
Dielectric Behavior ◽  
Mixing Models ◽  
Dielectric Measurements ◽  
Best Fit

Composite materials were made by mixing powders ofBa1−xSrxTiO3(x=0.2and 0.4) ceramics and epoxy resin with various volume fractions (vol%). Dielectric measurements of these composites were performed as a function of filler ratio in the range 100–360°K at 10 KHz. The dielectric constant of the composite increased with increasing volume fraction varies slightly with temperature. The 20 vol% of BST(0.4)-epoxy composite had the highest dielectric constant of 19.4 and dielectric loss tangent of 0.027. Among the dielectric mixing models presented, the model of Lichtenecker shows the best fit to the experimental data for both composites.

HIGH RESISTANCE ANODIC OXIDE FILMS ON ALUMINIUM

1966 ◽  
Vol 44 (20) ◽  
pp. 2409-2413 ◽  
Author(s):  
A. C. Harkness ◽  
L. Young
Keyword(s):  
Thin Film ◽  
Experimental Data ◽  
Dielectric Constant ◽  
Refractive Index ◽  
Steady State ◽  
Oxide Films ◽  
Ionic Current ◽  
Anodic Oxide ◽  
Immersion Method ◽  
State Ionic

The thicknesses of oxide films formed in aqueous borate solutions were obtained by the spectrophotometric method after developing the interference colors by evaporating a very thin film of gold or bismuth onto the oxide. The refractive index of the stripped films was determined by the Becke immersion method as 1.57 to 1.58 at 5 900 Å wavelength. The dielectric constant was estimated as 9.8 ± 0.5. Experimental data on the steady state ionic current density, I, through the oxide as a function of the field strength, E, in the oxide could be represented by I = I0 exp −(W − qaE)/kT where I0 = 2.24 × 107 A cm−2, W = 1.3 ± 0.15 eV, q = 3e, a = 2.95 ± 0.15 Å.

On the temperature dependence of the primary yield and the product Gεmax of hydrated electrons in the low-LET radiolysis of liquid water

2002 ◽  
Vol 80 (7) ◽  
pp. 767-773 ◽  
Author(s):  
Jintana Meesungnoen ◽  
Jean-Paul Jay-Gerin ◽  
Abdelali Filali-Mouhim ◽  
Samlee Mankhetkorn
Keyword(s):  
Experimental Data ◽  
Dielectric Constant ◽  
Temperature Dependence ◽  
Extinction Coefficient ◽  
Liquid Water ◽  
Hydrated Electron ◽  
Molar Extinction Coefficient ◽  
Water Radiolysis ◽  
Geminate Recombination ◽  
Primary Yield

Monte-Carlo simulations are performed to calculate the temperature dependence of the primary hydrated electron yield (Geaq-) for liquid water irradiated by low linear-energy-transfer radiation (LET ~ 0.3 keV µm–1) in the range 25–325°C. Calculations are carried out by taking properly into account the effect of the time and temperature dependencies of the water dielectric constant on the electron–cation geminate recombination. Our computed Geaq- values slightly increase with increasing temperature, in good agreement with experiment. The product Geaq- εmax(eaq-), estimated by using existing experimental data of the maximum molar extinction coefficient εmax(eaq-), remains nearly constant or slightly increases, depending on the temperature dependence chosen for εmax. Our Geaq-εmax(eaq-) values compare generally well with most experimental data, as well as with the predictions of deterministic diffusion-kinetic model calculations. Moreover, our results indicate that the static dielectric constant of water (εs) does not play any significant role on the electron–cation recombination at early times. Such a finding is inconsistent with the interpretation, proposed by certain authors in the literature, that Geaq- should in fact decrease as temperature is increased because of an increased electron–cation geminate recombination due to a lowering of εs. Finally, the temperature dependence of the hydrated electron yields, calculated at various times between 10 ps and 1 µs, shows that at low LET, the time required to establish homogeneous chemistry in the bulk of the solution is ~10–6 s in the range ~25–100°C, and that this time diminishes to ~10–7 s at higher temperatures. Key words: liquid water, radiolysis, temperature, hydrated electron (eaq-), radiolytic yields, electron–cation geminate recombination, dielectric constant, molar extinction coefficient of eaq-, homogenization time.

SOME RESULTS OF CONVERGENCE OF CUBIC SPLINE FRACTAL INTERPOLATION FUNCTIONS

Fractals ◽  
2003 ◽  
Vol 11 (01) ◽  
pp. 1-7 ◽  
Author(s):  
M. ANTONIA NAVASCUÉS ◽  
M. VICTORIA SEBASTIÁN
Keyword(s):  
Experimental Data ◽  
Cubic Spline ◽  
Spline Functions ◽  
Fractal Interpolation ◽  
Interpolation Function ◽  
Original Function ◽  
New Methods ◽  
Fractal Interpolation Function ◽  
Fractal Interpolation Functions ◽  
Interpolation Functions

Fractal interpolation functions (FIFs) provide new methods of approximation of experimental data. In the present paper, a fractal technique generalizing cubic spline functions is proposed. A FIF f is defined as the fixed point of a map between spaces of functions. The properties of this correspondence allow to deduce some inequalities that express the sensitivity of these functions and their derivatives to those changes in the parameters defining them. Under some hypotheses on the original function, bounds of the interpolation error for f, f′ and f′′ are obtained. As a consequence, the uniform convergence to the original function and its derivative as the interpolation step tends to zero is proved. According to these results, it is possible to approximate, with arbitrary accuracy, a smooth function and its derivatives by using a cubic spline fractal interpolation function (SFIF).

Study of ferroelectric lead monohydrogen phosphate type crystals

2017 ◽  
Vol 31 (32) ◽  
pp. 1750260 ◽  
Author(s):  
Aanchal Rawat ◽  
Trilok Chandra Upadhyay
Keyword(s):  
Experimental Data ◽  
Dielectric Constant ◽  
Dielectric Properties ◽  
Loss Tangent ◽  
Function Method ◽  
Mode Frequency ◽  
Temperature Variations ◽  
Ferroelectric Transition ◽  
Coupled Mode ◽  
Dielectric Constant And Loss

In this paper, the ferroelectric transition and dielectric properties of the lead monohydrogen phosphate (PbHPO4) crystal are theoretically investigated. By using Green’s function method and modified two sublattice pseudospin–lattice coupled mode model, formulae for PbHPO4 type crystals are derived. Temperature variations of ferroelectric mode frequency, dielectric constant and loss tangent are calculated for the PbHPO4 crystal. Our results agree well with the experimental data.

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