About: Generalization of the crystalline optical activity dispersion relations for arbitrary propagation direction of electromagnetic waves

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This study suggests an alternative method concerning the derivation of the dispersion relations in crystalline optical activity for the arbitrary propagation direction of the electromagnetic waves. The solution is based on the dipole-dipole interactions between the valence electrons that are represented by the harmonic oscillators. The following theoretical description of the optical activity uses the modified Rosenfeld relations. The rotational strengths of the quantum-mechanical transitions in the normal modes of vibrations are obtained following simple calculations of a sum of two independent components. The specific model of three coupled oscillators, which seems to be sufficient for the description of the optical activity of crystals having space groups of symmetry D-3(4) or D-3(6), is solved as the example and the dispersion relations are derived for the optical rotatory power and circular dichroism. The results are applied on the example of trigonal selenium, for which the optical rotatory power ratio in the direction perpendicular and in the direction parallel to the optic axis is calculated. The calculated relation is compared with a similar relation derived by Chandrasekhar. The validity of both relations is then discussed. This study suggests an alternative method concerning the derivation of the dispersion relations in crystalline optical activity for the arbitrary propagation direction of the electromagnetic waves. The solution is based on the dipole-dipole interactions between the valence electrons that are represented by the harmonic oscillators. The following theoretical description of the optical activity uses the modified Rosenfeld relations. The rotational strengths of the quantum-mechanical transitions in the normal modes of vibrations are obtained following simple calculations of a sum of two independent components. The specific model of three coupled oscillators, which seems to be sufficient for the description of the optical activity of crystals having space groups of symmetry D-3(4) or D-3(6), is solved as the example and the dispersion relations are derived for the optical rotatory power and circular dichroism. The results are applied on the example of trigonal selenium, for which the optical rotatory power ratio in the direction perpendicular and in the direction parallel to the optic axis is calculated. The calculated relation is compared with a similar relation derived by Chandrasekhar. The validity of both relations is then discussed. (en)
Title	Generalization of the crystalline optical activity dispersion relations for arbitrary propagation direction of electromagnetic waves Generalization of the crystalline optical activity dispersion relations for arbitrary propagation direction of electromagnetic waves (en)
skos:prefLabel	Generalization of the crystalline optical activity dispersion relations for arbitrary propagation direction of electromagnetic waves Generalization of the crystalline optical activity dispersion relations for arbitrary propagation direction of electromagnetic waves (en)
skos:notation	RIV/61989592:15310/12:33140112!RIV13-MSM-15310___
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...iv/cisloPeriodika	17
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Říha, Jan Vyšín, Ivo
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	137825
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/12:33140112
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	origin model; tellurium; quartz; selenium; benzil crystal; alternative method; relations derivation; Dispersion relation, rotatory dispersion; Rotational strength; Circular dichroism; Optical rotatory dispersion; Optical activity (en)
http://linked.open.../riv/klicoveSlovo	Circular dichroism tellurium Dispersion relation Optical activity Optical rotatory dispersion Rotational strength alternative method benzil crystal origin model relations derivation rotatory dispersion selenium quartz
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[AEF87869ABDB]
http://linked.open...i/riv/nazevZdroje	Optik
http://linked.open...in/vavai/riv/obor	BH
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	123
http://linked.open...iv/tvurceVysledku	Říha, Jan Vyšín, Ivo
http://linked.open...ain/vavai/riv/wos	000308625000013
issn	0030-4026
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ijleo.2011.08.029
http://localhost/t...ganizacniJednotka	15310

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