Journal ArticleDOI
Dielectric Constant and Interactions of Polar Molecules
TLDR
The theory of dielectric constant for permanent dipoles was extended to third-order interactions with induced polarization represented by harmonic oscillators by Van Vleck and others in this article, which is carried out by a high-temperature expansion of the partition function in powers of dipole coupling energy.Abstract:
The theory of the dielectric constant previously developed by Van Vleck and others for permanent dipoles is extended to third‐order interactions with inclusion of induced polarization represented by harmonic oscillators. This is carried out by a high‐temperature expansion of the partition function in powers of dipole coupling energy.Third‐order interaction terms are of the triangle and shuttle forms found by Rosenberg and Lax for permanent dipoles, but for induced moment contributions only the triangle interaction sum is involved. For neither type of term can agreement with Onsager's model be secured in any reasonable way.Kirkwood's treatment of long‐range interactions is shown to be consistent with the series expansion results if short‐range correlations are properly evaluated, but the results of this evaluation depend on molecular distributions.read more
Citations
More filters
Book ChapterDOI
Ion-Solvent Interactions
TL;DR: In this paper, the authors describe an electrochemical system where an electronic conductor is in contact with an ionic conductor (or electrolyte), which is a material which consists of mobile ions.
Journal ArticleDOI
Calculation of the Dielectric Constant of a Fluid by a Cluster Expansion Method
TL;DR: In this article, a method for calculating the static dielectric constant of a fluid of polar but, at the present state of the treatment, nonpolarizable molecules by cluster expansion methods was developed, which is obtained as the inverse of the coefficient in the Coulomb potential between two charged spherical probes immersed in the fluid.
Journal ArticleDOI
Dielectric properties of 1-cyanoadamantane C10H15CN, in its plastic phase
TL;DR: In this article, the dielectric properties of 1-cyanoadamantane C10H15CN are analyzed in a very wide frequency band (10-109 Hz) between 200 K and 400 K. Dynamical relaxation effects are studied in relation to the structure of the plastic phase.
Journal ArticleDOI
Dielectric relaxation and dipole interactions in a high temperature lattice
TL;DR: In this paper, Zwanig's methods were used to calculate the dipole relaxation of a sphere and of a spherical region in surrounding dielectric, using his assumed distribution function equation for Brownian motion and a modified one based on Kirkwood's transport theory.
Journal ArticleDOI
Thermodynamics of polar lattices
TL;DR: In this article, a Pade approximant to the Clausius-Mossotti function for dipolar lattices was constructed to satisfy known bounds, and the Pade approximation was compared with results of the spherical model for this system, and it was found that the simplest of these gives an accurate assessment of the exact low-temperature behaviour.
References
More filters
Journal ArticleDOI
On the Theory of Dielectric Polarization
TL;DR: In this paper, the polarization of a nonpolar dielectric in a homogeneous field is investigated from a molecular point of view, and a series expansion for (e−1)v/3 of the following form is obtained.
Journal ArticleDOI
On the Role of Dipole‐Dipole Coupling in Dielectric Media
TL;DR: In this paper, the Clausius-Mossotti formula was used to explain the absence of spontaneous polarization, as well as the non-occurrence of much saturation curvature in strong applied fields.
Journal ArticleDOI
Induced Polarization and Dielectric Constant of Polar Liquids
TL;DR: The role of induced polarization in statistical theory of the dielectric constant of polar molecules is examined using the classical harmonic oscillator model of induced displacements by external and intermolecular fields as mentioned in this paper.
Journal ArticleDOI
Dipoles on a Lattice : the Spherical Model
TL;DR: In this article, it was shown that in the spherical model a permanent dipole lattice is equivalent to an induced diphole lattice with a certain effective polarizability, which is generalized to include a mixture of long and short range interactions.