Abstract
The effect of induced atomic quadrupole moments upon the refractive index is investigated using Maxwell's macroscopic field equations. For this purpose a new frequency-dependent parameter δ is introduced which is characteristic of a homogeneous isotropic dielectric and is proportional to what might be called the quadrupolarizability. In order to obtain a dispersion formula a quantum mechanical calculation is made of the induced electric and magnetic dipole and electric quadrupole moments. The results suggest the general form to use for the classical field quantities P, M, Q (electric and magnetic dipole and electric quadrupole moments per unit volume respectively) for the classical theory of crystal optics in a higher approximation.
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