Remarks on the relation between microscopic and macroscopic crystal optics

Abstract

The microscopic equations for the polarization caused by a travelling light wave in an infinite crystal are brought into a form that is analogous to that of macroscopic optics. The role of the 'incident' field term in the elementary theory and that of a magnetic contribution to the optical rotatory power are discussed.

Internal Dynamics and Optical Rotations Predicted for Oh- and O-Symmetric Cubanes

“…It is certainly noteworthy that homochiral compounds 6 and 7 are calculated to have opposite signs of optical rotation. Although this prediction might seem surprising, homochiral crystals of NaClO 3 and NaBrO 3 have been found experimentally to have opposite signs of rotation . Surprise that substitution of bromine for chlorine can change the sign of rotation of chiral compounds reflects the stubborn desire of chemists to correlate configuration and sign of rotation, even though we teach our undergraduates not to expect such correlations.…”

“…The computed optical rotation of compound 8 is similar in both magnitude and sign to that of compound 6 . This similarity is consistent with the classical expectation that the halogens in the −1 oxidation state should have much larger polarizabilities than C 4+ and Si 4+ atoms . Thus changing the M atom from carbon to silicon in the MX 3 -substituted cubanes does not have nearly as great an effect on the optical rotation as changing the X atom from chlorine to bromine.…”

Experimental and phenomenological aspects of circular birefringence and related properties in transparent crystals

“…The above treatment does not take account of the special case of a crystal lattice and its periodicity. However, the Hertz-vector potential and formalism (Born and Goeppert-Mayer 1933, Beurskens-Kerssen et al 1963, Van Laar et al 1968 does take account of all interactions between the atoms inside a crystal acting on an atom at position s in the unit cell l:…”

Structure, Morphology and Optical Properties of Chiral N-(4-X-phenyl)-N-[1(S)-1-phenylethyl]thiourea, X= Cl, Br, and NO2

“…Properties of purely dispersive chiro-optical properties in crystals may be obtained using the dipole-dipole interaction theory [43,44,45,46,47,48] (Figure 3), which has been applied with success to ionic crystals using OPTACT [49]. Empirical electronic polarizability volumes of the different elements in a structure need to be modelled until the refractive indices calculated with the dipole-dipole model are close to the experimentally derived ones.…”