Particle shape effect on the dielectric property

For a special case of spheroidal particles, b can be equalized as c, and then A becomes a function of the aspect ratio a b. Eq.(177) can be simplified as [84] 

The complex dielectric constant of a suspension e of orientated ellipsoidal particles with the dielectric constant Cp at the particle volume fraction ) dispersed in a continuous medium with a complex dielectric constant , can be calculated from the Maxwell-Wagner-Sillars equation [77]  

Separating the real and imaginary parts of the complex dielectric constant leads to the Debye-type equations [89]  

For the anisotropic case, the resulting effective dielectric constant is strongly dependent on how the particles align with respect to the applied electric field  

Boned and Pcyrclassc [95] extended the asymmetric integration technique used by Bruggeman and Hanai to randomly orientated ellipsoidal mixture and obtained the following formula  

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PARTICLE SHAPE EFFECT ON THE DIELECTRIC PROPERTIES OF ER SUSPENSIONS AND THE ER EFFECT... 

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