Lorenz—Lorentz formula

The refractive constant or specific refractive index computed by the Lorenz-Lorentz formula,... 

We can use the local field method to find the dielectric constant tensor for systems of this type. This method goes back to Lorentz who used it to derive the well-known formula for the optical refractive index in isotropic media (the Lorenz-Lorentz formula). Let us recall the derivation of this formula. 

We show below how these inaccuracies in the Lorenz-Lorentz formula can be eliminated. We employ the local field method to modify this formula and apply it to anisotropic organic crystals of complex structure. We discuss below also a variety of their optical properties which were earlier analyzed in a less general form only in the framework of exciton theory. We explain how it has... 

Molecular polarizability includes electronic yei and orientadcnial Yor parts. The first of them is frequency and temperature independent and, at optical frequencies, the Lorenz-Lorentz formula is valid ... 

The refractive index of a compound oxide or a multi-component glass may be roughly estimated by using the Lorenz-Lorentz formula (Clausius-Mosotti s formula in terms of the dielectric constant and polarizability) which gives the relation between the refractive index and polarizability of materials described as equation (31-1). 

M. le Blanc gave the refractive indices of solii. of potassium and rubidium bromides as 1 5593 and 1 5533 respectively, when the densities are 2"738 and 3 314 respectively. Hence the refraction eq. of potassium bromide by Gladstone and Dale s formula is therefore 24 32 and by Lorentz and Lorenz s formula 14-05 the corresponding values for rubidium bromide are27"62 and 15"98. The mol. refractions of potassium bromide in soln. by the two formulae are respectively 25"11 and 14 70 and of rubidium bromide in soln., 27 85 and 16 33. The mol. refractions of these salts are therefore greater in soln. than in the solid form. Crystals of potassium bromide, says H. Marbuch, exhibit optical activity. A. S. Newcomer found that sodium chloride was the only salt relatively soluble and yet capable of emitting fluorescent rays in the mid-ultra-violet region of the spectrum under the influence of X-rays. 

Note.—A= atomic weight, nj=refraetivity according to Gladstone s formula, n, = refractivity according to Lorentz and Lorenz s formula.) The atomic refraction ArG of the element is 18-68 (solid), 18-89 (liquid),4 or 18-69 (mean of solid and liquid),5 while the value Arn was 9-10 (mean of solid and liquid).5... 

Com- pound. Refractive Index (ji). ( ) Calculated for Gas from Lorentz and Lorenz s Formula. Re- fraetivity ( -l)106. Refractivities of Components, F=599. Sum. Differ- ence per cent. Columns (5) and (7)-... 

By combining the rheochor formula with the Lorenz-Lorentz equation for the molar refraction, where =refractive index,... 

By combining the rheochor formula with the Lorenz-Lorentz equation for the molar refraction, i L=[( 2— 1) /( 2+2)](M/o), where =refractive index, Chacravarti7 found ... 

In 1983 we were able to validate two exact formulae, based on the Lorenz-Lorentz equations, allowing the calculation of the mass of the adsorbed layer from the refractive index and thickness. This experimental validation was performed by measuring stacked multilayers of known mass of phosphatidylserine and by the adsorption of radiolabeled albumin and prothrombin on these multilayers (9 ). 

Continuum models have a long and honorable tradition in solvation modeling they ultimately have their roots in the classical formulas of Mossotti (1850), Clausius (1879), Lorentz (1880), and Lorenz (1881), based on the polarization fields in condensed media [32, 57], Chemical thermodynamics is based on free energies [58], and the modem theory of free energies in solution is traceable to Bom s derivation (1920) of the electrostatic free energy of insertion of a monatomic ion in a continuum dielectric [59], and Kirkwood and Onsager s... 

Lorentz-Lorenz equation, 19 380 Lorivox, molecular formula and structure, 5 92t... 

Table 10.5 shows a comparison between calculated and observed values for a series of solid amorphous polymers. Remarkable is the fact that the very simple formula of Vogel (1948-1954), Rv = nM, gives about the same standard deviation as the more complex and theoretically better explicable formulas of Lorentz-Lorenz and Gladstone-Dale. 

For gases and liquids, it immediately goes over into the form (144a) of the Lorentz-Lorenz formula. It thus corresponds to a lack of correlations between molecules in the medium. 

On inserting (145) into the fundamental formula (144), we immeifiately come to the Lorentz-Lorenz result ... 

Tripathi by combining the Lorentz-Lorenz molecular refraction formula ... 

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