Bulk properties of two‐phase disordered media. I. Cluster expansion for the effective dielectric constant of dispersions of penetrable spheres

1984 ◽  
Vol 81 (11) ◽  
pp. 5079-5088 ◽  
Author(s):  
S. Torquato
Keyword(s):  
Dielectric Constant ◽  
Cluster Expansion ◽  
Effective Dielectric Constant ◽  
Disordered Media ◽  
Two Phase ◽  
Bulk Properties ◽  
Penetrable Spheres

A NOVEL MODEL OF DIELECTRIC CONSTANT OF TWO-PHASE COMPOSITES WITH INTERFACIAL SHELLS

2002 ◽  
Vol 16 (25) ◽  
pp. 3855-3863 ◽  
Author(s):  
QINGZHONG XUE
Keyword(s):  
Dielectric Constant ◽  
Effective Dielectric Constant ◽  
Maxwell Theory ◽  
Two Phase ◽  
Random Composites ◽  
Polarization Theory ◽  
Two Phases ◽  
Novel Model ◽  
Theoretical Results ◽  
Good Agreement

Considering the interface effect between two phases in composite, we present a novel model of dielectric constant of two-phase composites with interfacial shells. Starting from Maxwell theory and average polarization theory, the formula of calculating the effective dielectric constant of two-phase random composites with interfacial shells is presented. The theoretical results on effective dielectric constant of alkyd resin paint/Barium titanate random composites with interfacial shells are in good agreement with the experimental data.

Effective dielectric constant of two phase systems: Application to mixed conducting systems

2012 ◽  
Vol 112 (3) ◽  
pp. 034107 ◽  
Author(s):  
Vladimir Petrovsky ◽  
Piotr Jasinski ◽  
Fatih Dogan
Keyword(s):  
Dielectric Constant ◽  
Effective Dielectric Constant ◽  
Two Phase ◽  
Phase Systems

Effective dielectric constant of two phase dielectric systems

2012 ◽  
Vol 28 (2-3) ◽  
pp. 185-190 ◽  
Author(s):  
Vladimir Petrovsky ◽  
Piotr Jasinski ◽  
Fatih Dogan
Keyword(s):  
Dielectric Constant ◽  
Effective Dielectric Constant ◽  
Two Phase

Measurement of effective dielectric constant : A comparison

2011 ◽  
Author(s):  
Aakashdeep ◽  
Saurav Kr. Basu ◽  
G. V. Ujjwal ◽  
Sakshi Kumari ◽  
V. R. Gupta
Keyword(s):  
Dielectric Constant ◽  
Effective Dielectric Constant

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 Characterization of percolation behavior in conductor–dielectric 0-3 composites

2014 ◽  
Vol 04 (04) ◽  
pp. 1450035 ◽  
Author(s):  
Lin Zhang ◽  
Patrick Bass ◽  
Zhi-Min Dang ◽  
Z.-Y. Cheng
Keyword(s):  
Dielectric Constant ◽  
Percolation Threshold ◽  
Frequency Dependence ◽  
Experimental Results ◽  
Effective Dielectric Constant ◽  
Filler Concentration ◽  
Percolation Behavior ◽  
The Matrix ◽  
The Relationship

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.

Sign in / Sign up

Export Citation Format

Share Document