Clausius-Mosotti equation

Clausius-Mosotti equation

[¦klȯz·ē·əs mə′zäd·ē i′kwā·zhən]
(electricity)
An expression for the polarizability γ of an individual molecule in a medium which has the relative dielectric constant ε and has N molecules per unit volume: γ = (3/4π N) [(ε - 1)/(ε + 2)] (Gaussian units).
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This can be done by applying a generalization of the Clausius-Mosotti equation (7) in each case, and the application of the Bruggeman's equation to finally get the aforementioned total average value, [Mathematical Expression Omitted].
The values represented in Table 1 are substituted in the Clausius-Mosotti equation (7).
On the basis of previous studies carried out on samples of low-density blown polyethylene (6, 7), in the latter article, we succeeded in generalizing the Clausius-Mosotti equation for this type of polymer, through the directions of influence of the ordinary and extraordinary bulk refractive indices, by means of the general expression (7):
Now, after solving Eq 9, the value obtained can be applied to the generalized Clausius-Mosotti equation (7), with a mean index found by the Bruggeman's equation for [x.
i] given in (6, 7), we can then calculate the overall effect produced by that index, by applying the generalized Clausius-Mosotti equation to the ordinary bulk index direction of influence, designated as [Z.
With a 50/o degree of crystallinity, the effect produced by both phases can be calculated, by simply applying the generalized Clausius-Mosotti equation
When Eq 14 has been calculated, the resulting value of can be applied to the generalized Clausius-Mosotti equation, using the previously provided Bruggeman's mean index [Mathematical Expression Omitted] = 1.
i] found in (6, 7), the overall effect produced by these values can calculated, using the generalized Clausius-Mosotti equation, which is designated as [Y.
Likewise, we could apply [Mathematical Expression Omitted] to the Clausius-Mosotti equation and find [Mathematical Expression Omitted] and then (Eq 7) [Mathematical Expression Omitted].
Once the values of [Mathematical Expression Omitted] and [Mathematical Expression Omitted] are known, they can be applied to the generalized Clausius-Mosotti equation (designated by [Mathematical Expression Omitted]).