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The relative permittivity of a medium is related to its electric susceptibility, χ e, as ε r (ω) = 1 + χ e. In anisotropic media (such as non cubic crystals) the relative permittivity is a second rank tensor. The relative permittivity of a material for a frequency of zero is known as its static relative permittivity.
The relative permittivity of a material can be found by a variety of static electrical measurements. The complex permittivity is evaluated over a wide range of frequencies by using different variants of dielectric spectroscopy , covering nearly 21 orders of magnitude from 10 −6 to 10 15 hertz .
The real (blue solid line) and imaginary (orange dashed line) components of relative permittivity are plotted for model with parameters = 3.2 eV, = 4.5 eV, = 100 eV, = 1 eV, and = 3.5. The Tauc–Lorentz model is a mathematical formula for the frequency dependence of the complex-valued relative permittivity , sometimes referred to as the ...
In electricity (electromagnetism), the electric susceptibility (; Latin: susceptibilis "receptive") is a dimensionless proportionality constant that indicates the degree of polarization of a dielectric material in response to an applied electric field.
In electromagnetism, the Clausius–Mossotti relation, named for O. F. Mossotti and Rudolf Clausius, expresses the dielectric constant (relative permittivity, ε r) of a material in terms of the atomic polarizability, α, of the material's constituent atoms and/or molecules, or a homogeneous mixture thereof.
Thus = (+) = = where ε r = 1 + χ is the relative permittivity of the material, and ε is the permittivity. In linear, homogeneous, isotropic media, ε is a constant. However, in linear anisotropic media it is a tensor , and in nonhomogeneous media it is a function of position inside the medium.
Template: Relative permittivity table. 2 languages. ... Relative permittivities of some materials at room temperature under 1 kHz; Material
Here ε is known as the relative permittivity tensor or dielectric tensor. Consequently, the refractive index of the medium must also be a tensor. Consider a light wave propagating along the z principal axis polarised such the electric field of the wave is parallel to the x-axis. The wave experiences a susceptibility χ xx and a permittivity ε ...