Nanodielectrics permittivity

In the case of a multi-component system such as a nanodielectric, an effective medium approach can be used to define the real permittivity of the whole based upon the composition and the properties of the individual components Myroshnychenko and Brosseau (2005) provide a good overview of the topic, as applied to binary systems. The Lichtenecker-Rother equation is an example of such a relationship ... 

Kochetov et al. (2012) described the dielectric response of a range of nanodielectrics based upon particulate nanofillers dispersed within an epoxy matrix. In all cases, with the exception of nano-silica, the inclusion of a low volume fraction (<5 %) of nanofiller resulted in a reduction in the measured real permittivity, below that of the host matrix, despite S In another epoxy-based... 

Fig. 9.4 Imaginary permittivity data obtained from nanodielectrics based upon nano-silica in an epoxy resin (a) frequency dependent data obtained at the indicated temperatures from a system containing 2 % of unfunctionalised nano-silica (NCO) (b) data obtained from systems where the nano-silica had been functionalised with increasing amounts (NCl- NC16)of 3-glycidyloxypropyl) trimethoxysilane...

Applying such concepts to the real permittivity data described above, it is evident that this inequahty does not hold. This suggests that the situation in nanodielectrics is more complex, which implies that the presence of the nanoparticles is affecting the overall performance of the system in a much more subtle and complex way. 

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