The clausius mossotti equation is valid for non polar solid having cubic crystal structure. The clausius clapeyron relation characterizes behavior of a closed system during a phase change, during which temperature and pressure are constant by definition. The clausiusmossotti equation can be written in the form. The clausius mossotti relation expresses the dielectric constant relative permittivity. The clausiusmossotti relation expresses the dielectric constant relative permittivity.
Clausius mossotti equation, clausius mossotti relation youtube. The clausius mossotti equation relates the dielectric constant of a material to the polarisability of its atoms. Motivated by such striking symmetries between the two, derivation of an equation which would be a magnetic analogue of the clausiusmossotti equation is. The clausiusmossotti equation ottaviano mossotti 1850 and rudolf clausius 1879 jason rich. Polarization is considered as proportional to the field. Pdf on magnetic analogue of clausiusmossotti equation. An alternative derivation the clausius mossotti equation relates the dielectric constant of a material to the polarisability of its atoms. Clausiusmossotti relation seems to hold best for gases and gives reasonably good results for many liquids and solids. What is the local electric field of a dielectric on a molecular scale. The clausiusmossotti equation for dielectric matter consisting of atoms or nonpolar molecules is.
The index of refraction n of a dielectric is given by. The clausiusmossotti phase transition in polar liquids. This avoids the subtleties of the rather tricky conventional derivation. We have obtained an expression for the local electric field. Using the state postulate, take the specific entropy for a homogeneous substance to be a function of specific volume and temperature 508. The clausius mossotti equation for dielectric matter consisting of atoms or nonpolar molecules is where. Clausius mossotti equation, clausius mossotti relation. It finds natural explanation in terms of the often omitted delta function in the. The derivation assumes that all polarity is induced. This equation relates the dielectric constant of medium with polarizabili. It finds natural explanation in terms of the often omitted delta function in the electric field of an ideal dipole.
The lorentzlorenz equation is similar to the clausius mossotti relation, except that it relates the refractive. Derivation is tricky, yet applicable to many physical situations. Derivation of clausiusmossotti relation physics stack exchange. The macroscopic electric field e which should appear in the relation p0e is the spatial average of the microscopic and rapidly. Derived independently supposedly by mossotti 1850 and clausius 1879 the equation 0 1 233. It is named after ottavianofabrizio mossotti and rudolf clausius. The conventional clausiusmossotti polarization equation of state is known to be unstable for.
In this video we have derived the clausius mossotti equation of solid state physics. Clausiusmossotti lorentzlorenz relations and retardation effects. Clausius clapeyron equation and its significance youtube. The first appendix to this chapter is a technical note discussing electric fields inside dielectrics and the origin of the clausius mossotti equation that describes the response of a bulk. The equation provides a link between a microscopic quantity the polarizability and a. In physics, the clausiusmossotti relation connects the relative permittivity.
525 1117 1014 689 1433 1147 96 442 539 1472 100 1342 321 1356 640 437 256 769 119 960 64 1287 2 689 881 1056 1124 250 848