Article

1999 ◽  
Vol 77 (11) ◽  
pp. 1946-1950 ◽  
Author(s):  
A D Buckingham ◽  
Y Tantirungrotechai

We report the second dielectric virial coefficient Bε of a nonpolarizable dipolar Gay-Berne fluid. The second dielectric virial coefficient is evaluated for several sets of shape parameters and temperature. The second dielectric virial coefficient for rodlike molecules is negative while it is large and positive for disklike molecules. It decreases to zero on increasing the temperature.Key words: dipolar fluids, dielectric constant, intermolecular forces, shape parameters.

The prediction of the virial coefficients for particular intermolecular potentials is generally regarded as a difficult mathematical problem. Methods have only been available for the second and third coefficient and in fact only few calculations have been made for the latter. Here a new method of successive approximation is introduced which has enabled the fourth virial coefficient to be evaluated for the first time for the Lennard-Jones potential. It is particularly suitable for automatic computation and the values reported here have been obtained by the use of the EDSAC I. The method is applicable to other potentials and some values for these will be reported subsequently. The values obtained cannot yet be compared with any experimental results since these have not been measured, but they can be used in the meantime to obtain more accurate experimental values of the lower coefficients.


1966 ◽  
Vol 44 (8) ◽  
pp. 2984-2994 ◽  
Author(s):  
A. E. Sherwood ◽  
Andrew G. De Rocco ◽  
E. A. Mason

2019 ◽  
Vol 11 (20) ◽  
pp. 47-57
Author(s):  
Bushra A. Hasan

PMMA films of different thickness (0.006, 0.0105, 0.0206, 0.0385 and 0.056cm) were synthesized by casting process. The temperature and frequency dependence of dielectric constant and AC electrical conductivity measurements at various frequencies (10kHz-10MHz) and temperatures (293-373K) were carried out. Few anomalies in dielectric studies were observed near 313 and 373 K respectively. These points were related to glass transitions temperature. The variation of activation energy and conduction behavior was studied .From the AC conduction studies, it is confirmed that the mechanism responsible for the conduction process is hopping of carriers. The variations of the dielectric constant and loss as function of frequency at different temperature was observed and the results were discussed. The calculated activation energy varied with the thickness, temperature, and applied frequency. Conductivity plots against frequency suggested that the response obeying the universal power law concerning the AC conductivity and dielectric behavior of polymer. The polarizability a increases with temperature but decreases with thickness indicating weekends and rising of intermolecular forces respectively.


1974 ◽  
Vol 27 (2) ◽  
pp. 241 ◽  
Author(s):  
CHJ Johnson ◽  
TH Spurling

In this paper we give the results of computing the effect of non-additivity of long range forces on the fourth virial coefficient of a Lennard-Jones 12-6 gas. We have considered only dipolar effects but have included all terms up to the fourth order of perturbation theory. We have also calculated the effect of the fourth-order triple-dipole term on the third virial coefficient. For the fourth virial coefficient we find that the dispersion non-additivity, while being positive at low reduced temperatures, goes through a negative minimum at a reduced temperature of about 1.25 before becoming small and positive at high temperatures. This is in contradistinction to the behaviour of the third virial co-efficient where the dispersion non-additivity is always positive.


2000 ◽  
Vol 10 (PR5) ◽  
pp. Pr5-437-Pr5-440
Author(s):  
A. Alastuey ◽  
V. Ballenegger

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