Briefly explain the significance of Clausius-Mossotti equation in calculating the polarizability of the dielectric materials.
Answers
Answer:
The Clausius–Mossotti relation expresses the dielectric constant (relative permittivity, εr) of a material in terms of the atomic polarizability, α, of the material's constituent atoms and/or molecules, or a homogeneous mixture thereof. It is named after Ottaviano-Fabrizio Mossotti and Rudolf Clausius. It is equivalent to the Lorentz–Lorenz equation. It may be expressed as:[1][2]
{\displaystyle {\frac {\varepsilon _{\mathrm {r} }-1}{\varepsilon _{\mathrm {r} }+2}}={\frac {N\alpha }{3\varepsilon _{0}}}}{\displaystyle {\frac {\varepsilon _{\mathrm {r} }-1}{\varepsilon _{\mathrm {r} }+2}}={\frac {N\alpha }{3\varepsilon _{0}}}}
where
{\displaystyle \varepsilon _{r}=\epsilon /\epsilon _{0}}{\displaystyle \varepsilon _{r}=\epsilon /\epsilon _{0}} is the dielectric constant of the material, which for non-magnetic materials is equal to {\displaystyle n^{2}}n^{2} where {\displaystyle n}n is the refractive index
Answer:
Significance of Clausius-Mossotti equation in calculating the polarizability of the dielectric materials.
Explanation:
A relation between the polarizability α of a molecule and the dielectric constant ε of a dielectric substance made from molecules with this polarizability. The Clausius-Mossotti equation can be written inside the form α = (3/4πN)/[(ε – 1)/(ε – 2)], in which N is the number of molecules per unit extent.
The Clausius-Mossotti equation relates the dielectric steady of a cloth to the polarisability of its atoms. It finds natural explanation in terms of the (frequently overlooked) delta feature in the electric powered field of a great dipole.
This avoids the subtleties of the rather elaborate traditional derivation. as an example, the Clausius-Mossotti relation is accurate for N2 gas up to one thousand atm among 25°C and 125°C. moreover, the Clausius-Mossotti relation can be relevant to materials if the carried out electric field is at a sufficiently high frequencies such that any permanent dipole modes are inactive.
The Clausius-Mossotti aspect as a feature of the frequency of the applied voltage for distinct dielectric houses of a 10-m-diameter biological cellular. " and are the permittivity and the electric conductivity of the cell interior. The units of C , G , and are mF=m , kS=m , and S/m, respectively.
A relation between the polarizability α of a molecule and the dielectric constant ε of a dielectric substance made from molecules with this polarizability. The Clausius-Mossotti equation can be written inside the form α = (3/4πN)/[(ε – 1)/(ε – 2)], in which N is the number of molecules per unit extent.
- The Clausius-Mossotti equation relates the dielectric steady of a cloth to the polarisability of its atoms. It finds natural explanation in terms of the (frequently overlooked) delta feature in the electric powered field of a great dipole.
- This avoids the subtleties of the rather elaborate traditional derivation. as an example, the Clausius-Mossotti relation is accurate for N2 gas up to one thousand atm among 25°C and 125°C. moreover, the Clausius-Mossotti relation can be relevant to materials if the carried out electric field is at a sufficiently high frequencies such that any permanent dipole modes are inactive.
- The Clausius-Mossotti aspect as a feature of the frequency of the applied voltage for distinct dielectric houses of a 10-m-diameter biological cellular. " and are the permittivity and the electric conductivity of the cell interior. The units of C , G , and are mF=m , kS=m , and S/m, respectively.
Clausius-mossotti relation relates with which polarizability
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A general review on the derivation of clausius mossotti relation
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