Abstract
We present a new effective medium theory for the dielectric response of mixtures of molecules with molecular polarizability and a permanent dipole moment. This model includes the interaction of each local dipole moment with the dipolar reaction fields of neighboring dipolar molecules. This interaction leads to an enhancement of the dielectric response of the mixture and constitutes an alternative method to describe the correlated motion of dipoles in liquids compared to the models of Fröhlich and Kirkwood. The model requires as input parameters the volume fractions of the components contained in the mixture and the dielectric parameters of the pure components. The results of the model are compared with experimental data and with the results of previous effective-medium theories.
Highlights
The dielectric response of a mixture is not a weighted average of the dielectric responses of its constituting pure components and often shows a nonlinear dependence on the volume fractions of its components
We do not describe the correlated motion of the dipoles with a Kirkwood factor, but as the result of the background reaction field of the water dipoles of which the strength increases with an increase in the water volume fraction, and that possesses a self-amplifying effect, as expressed in Eq (9)
We present a new effective-medium model for the dielectric response of mixtures with components possessing molecular polarizability and a permanent dipole moment
Summary
The dielectric response of a mixture is not a weighted average of the dielectric responses of its constituting pure components and often shows a nonlinear dependence on the volume fractions of its components. This too strong nonlinear dependence results from the fact that in these models, the part of the reaction field that results from the orientation of the water dipoles is assumed to be fully effective in enhancing the dielectric response. We do not describe the correlated motion of the dipoles with a Kirkwood factor, but as the result of the background reaction field of the water dipoles of which the strength increases with an increase in the water volume fraction, and that possesses a self-amplifying effect, as expressed in Eq (9).
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