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Polarizability is responsible for a material's dielectric constant and, at high (optical) frequencies, its refractive index. The polarizability of an atom or molecule is defined as the ratio of its induced dipole moment to the local electric field; in a crystalline solid, one considers the dipole moment per unit cell. [1]
The polarizability of individual particles in the medium can be related to the average susceptibility and polarization density by the Clausius–Mossotti relation. In general, the susceptibility is a function of the frequency ω of the applied field.
The hyperpolarizability, a nonlinear-optical property of a molecule, is the second order electric susceptibility per unit volume. [1] The hyperpolarizability can be calculated using quantum chemical calculations developed in several software packages. [2] [3] [4] See nonlinear optics.
In the CGS system of units the Clausius–Mossotti relation is typically rewritten to show the molecular polarizability volume ′ = which has units of volume [m 3]. [2] Confusion may arise from the practice of using the shorter name "molecular polarizability" for both α {\displaystyle \alpha } and α ′ {\displaystyle \alpha '} within ...
A similar parameter exists to relate the magnitude of the induced dipole moment p of an individual molecule to the local electric field E that induced the dipole. This parameter is the molecular polarizability (α), and the dipole moment resulting from the local electric field E local is given by: =
Molar refractivity, [1] [2], is a measure of the total polarizability of a mole of a substance. For a perfect dielectric which is made of one type of molecule, the molar refractivity is proportional to the polarizability of a single molecule of the substance. For real materials, intermolecular interactions (the effect of the induced dipole ...
Molar refractivity, on the other hand, is a measure of the total polarizability of a mole of a substance and can be calculated from the refractive index as = + , where ρ is the density, and M is the molar mass. [42]: 93
Gaussian units constitute a metric system of physical units. This system is the most common of the several electromagnetic unit systems based on cgs (centimetre–gram–second) units . It is also called the Gaussian unit system , Gaussian-cgs units , or often just cgs units .