ON THE STATIC DIELECTRIC CONSTANT OF DIPOLAR SOLIDS

1951 ◽  
Vol 29 (2) ◽  
pp. 163-173 ◽  
Author(s):  
J. H. Simpson

An application of Fröhlich's general formula for the static dielectric constant is made to a material having a cubic arrangement of dipolar molecules, each of which has two equilibrium positions 180° apart and ordering forces of the short range type which tend to make nearest neighbors antiparallel. It is shown that such a model cannot lead to a sharp transition in dielectric constant unless changes in lattice dimensions occur. Qualitative comparison with certain experimental results is made.

RSC Advances ◽  
2021 ◽  
Vol 11 (9) ◽  
pp. 5179-5181
Author(s):  
Sayantan Mondal ◽  
Biman Bagchi

Neglects of inherent anisotropy and distinct dielectric boundaries may lead to completely erroneous results. We demonstrate that such mistakes can give rise to gross underestimation of the static dielectric constant of cylindrically nanoconfined water.


2007 ◽  
Vol 101 (12) ◽  
pp. 124911 ◽  
Author(s):  
C. K. Ghosh ◽  
K. K. Chattopadhyay ◽  
M. K. Mitra

2014 ◽  
Vol 04 (04) ◽  
pp. 1450035 ◽  
Author(s):  
Lin Zhang ◽  
Patrick Bass ◽  
Zhi-Min Dang ◽  
Z.-Y. Cheng

The equation ε eff ∝ (ϕc - ϕ)-s which shows the relationship between effective dielectric constant (εeff) and the filler concentration (φ), is widely used to determine the percolation behavior and obtain parameters, such as percolation threshold φc and the power constant s in conductor–dielectric composites (CDCs). Six different systems of CDCs were used to check the expression by fitting experimental results. It is found that the equation can fit the experimental results at any frequency. However, it is found that the fitting constants do not reflect the real percolation behavior of the composites. It is found that the dielectric constant is strongly dependent on the frequency, which is mainly due to the fact that the frequency dependence of the dielectric constant for the composites close to φc is almost independent of the matrix.


1964 ◽  
Vol 19 (9) ◽  
pp. 1070-1075
Author(s):  
H. Vogel ◽  
H. Bässler

The activation energy of the d. c. conductance of organic liquids lies between 0.04 and 0.45 eV in the lower region of temperature of their liquid state. A comparison of these values with the static dielectric constant shows, that the activation energy may be regarded as a pure COULOMB energy: E2 = e2/2 ε r . The characteristic distance r has the approximate value of 8.5 Å for hydrocarbons. It decreases for halogen- and nitro-derivates. Formerly it was found that the conductivity of mixtures obeys the law σM = σAC · σB1-C. This can easily be explained assuming εM = c εA + (1 — c) εB. In the case of rather different ε values or of homologuous compounds forming complexes, σ increases. This is identical with a kink in the log σ (c) -curve.


A comb shaped microstrip antenna is designed by loading rectangular slots on the patch of the antenna. The antenna resonating at three different frequencies f1 = 5.35 GHz, f2 = 6.19 GHz and f3= 8.15 GHz. The designed antenna is simulated on High Frequency Structure Simulator software [HFSS] and the antenna is fabricated using substrate glass epoxy with dielectric constant 4.4 having dimension of 8x4x0.16 cms. The antenna shows good return loss, bandwidth and VSWR. Experimental results are observed using Vector Analyzer MS2037C/2.


1978 ◽  
Vol 21 (85) ◽  
pp. 73-83 ◽  
Author(s):  
J. F. Nagle

Abstract Theories of the dielectric constant in ice differ in three fundamentally different ways that are often confused with each other. First, there is the choice of interactions to include in the model, notably whether to try to include long-range dipolar interactions as in the Kirkwood theory or to include only the short-range ice-rule interactions. Second, there is the choice of the kind of statistical quantity calculated, e.g. the Kirkwood correlation factor g or the polarization factor G, which Stillinger and Cotter showed to be different. Finally, there is the choice of the kind of computational tool used, and in original papers this choice often obscures the first two differences. With these distinctions in mind a review is given of current theoretical calculations of the dielectric constant and the residual entropy and how the different theories relate to each other and to experiments.


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