How is Clausius-Mossotti equation derived?
A relation between the polarizability α of a molecule and the dielectric constant ε of a dielectric substance made up of molecules with this polarizability. The Clausius-Mossotti equation can be written in the form α = (3/4πN)/[(ε – 1)/(ε – 2)], where N is the number of molecules per unit volume.
What is Clausius-Mossotti factor?
The Clausius-Mossotti factor as a function of the frequency of the applied voltage for different dielectric properties of a 10-m-diameter biological cell. ” and are the permittivity and the electrical conductivity of the cell interior. The units of C , G , and are mF=m , kS=m , and S/m, respectively.
How does the Clausius-mossotti relation can be used?
For example, the Clausius-Mossotti relation is accurate for N2 gas up to 1000 atm between 25°C and 125°C. Moreover, the Clausius-Mossotti relation may be applicable to substances if the applied electric field is at a sufficiently high frequencies such that any permanent dipole modes are inactive.
Which molecules do not obey Clausius-Mossotti equation?
Clausius-Mossotti Equation is not applicable to strong solutions and solids….It is derived based on following assumptions.
- Polarization is considered as proportional to the field.
- The polarizable molecules are isotropic.
- Absence of short-range interaction.
Which is Lorentz relation?
In physics, the Lorentz-Lorenz relation is an equation between the index of refraction n and the density ρ of a dielectric (non-conducting matter), where the proportionality constant K depends on the polarizability of the molecules constituting the dielectric.
What is Langevin Debye equation?
In contradistinction to the old quantum theory, the new quantum mechanics yields very generally the Langevin and Debye formulas χ=Nα+Nμ23kT for the magnetic and dielectric susceptibilities respectively.
What is Lorentz local field?
[′lȯr‚ens ¦lō·kəl ′fēld] (electricity) In a theory of electric polarization, the average electric field due to the polarization at a molecular site that is calculated under the assumption that the field due to polarization by molecules inside a small sphere centered at the site may be neglected.
Which relation represents Clausius theorem?
Clausius discovered that, when a small amount of heat δQ is supplied to a system, which is at an absolute temperature T, then it will undergo a process, and the ratio δQ/T is same for all reversible processes. He assigned the value δQ/T = dS and called S as entropy.
What is relationship between Kelvin Planck and Clausius statement?
Kelvin-Planck and Clausius statements look different but both are are the parallel statements of second law of thermodynamics. Consider, a heat pump absorbs heat Q1 from a cold reservoir which is at temperature T2 and transfers it to a hot reservoir which is at temperature T1 without expenditure of any work.
What is Lorentz-Lorenz equation?
Quick Reference. A relation between the polarizability α of a molecule and the refractive index n of a substance made up of molecules with this polarizability. The Lorentz-Lorenz equation can be written in the form α=(3/4πN) [(n 2–1/(n 2+2)], where N is the number of molecules per unit volume.
What is the Clausius Mossotti relation?
Clausius–Mossotti relation. The Clausius–Mossotti relation expresses the dielectric constant (relative permittivity, ε r) of a material in terms of the atomic polarizibility, 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.
When is the Clausius-Mossotti relation applicable to substances?
Moreover, the Clausius-Mossotti relation may be applicable to substances if the applied electric field is at a sufficiently high frequencies such that any permanent dipole modes are inactive.
How accurate is the Clausius-Mossotti relation for molecular polarisability?
We argue that for crystalline films the Clausius-Mossotti relation between the molecular polarisability and the dielectric function of the medium should be reasonably accurate, despite the fact that the polarised fullerene molecules are far from being point dipoles.
Is Clausius-Mossotti relation applicable to H2 gas?
It is applicable to gases such as N 2, CO 2, CH 4 and H 2 at sufficiently low densities and pressures. For example, the Clausius-Mossotti relation is accurate for N 2 gas up to 1000 atm between 25°C and 125°C.