Lorentz-Lorenz law

The sPS has been exploited as sensitive material for fiber optic chemical sensors based on reflectance measurements and aimed to detection of chloroform and toluene in water and air environments48 50. The refractive index of sPS thin films is estimated to be about 1.578. The effect of the analyte sorption in the crystalline domain was modeled as an increase in the material density, which in turn leads to an increase in the refractive index according to the Lorentz-Lorenz law ... 

It defines a first deviation from the Lorentz-Lorenz law (144a) due to the presence, in gases and liquids, of binary molecular correlations. 

The refractive index (RI) of a mixture is a function of the composition of the mixture and the respective refractive indices of the constituents [8]. The mixture refractive index follows mixture laws such as the Lorentz-Lorenz law. Operational measuring instruments are usually differential refractometers or critical-angle re-fractometers [4]. A large disadvantage in the method is that it only provides meaningful results when a two-component system is considered. However, a differential refractometer is commonly used as a concentration detector in the effluent of a gel permeation chromatography (GPC) column for molecular weight determination. 

Thus, the procedure is to first find the singular solution of the Lorentz-Lorenz law together with the dispersion relation for the effective wave number Kg, and then to determine the arbitrary constant from the scalar equations (2.190) or (2.191). After the conditional average of the scattered field coefficients has been evaluated, the coherent reflected field can be computed by taking the configurational average of (2.171), i.e.,... 

The above equation is known as Rayleigh s Law. In order to replace polarizabilities with refractive indexes, one uses the Lorenz - Lorentz relationship, namely... 

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