Definition of Volume Susceptibility
Electric susceptibility is defined as the constant of proportionality (which may be a tensor) relating an electric field E to the induced dielectric polarization density P such that:
where
- is the polarization density;
- is the electric permittivity of free space;
- is the electric susceptibility;
- is the electric field.
The susceptibility is also related to the polarizability of individual particles in the medium by the Clausius-Mossotti relation. The susceptibility is related to its relative permittivity by:
So in the case of a vacuum:
At the same time, the electric displacement D is related to the polarization density P by:
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