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J Phys Chem B. 2006 Feb 16;110(6):2511-4. doi: 10.1021/jp055445u.

On the volume-dependence of the index of refraction from the viewpoint of the complex dielectric function and the Kramers-Kronig relation.

The journal of physical chemistry. B

Xavier Rocquefelte, Stéphane Jobic, Myung-Hwan Whangbo

Affiliations

  1. Institut des Matériaux Jean Rouxel, Laboratoire de Chimie des Solides, 2 rue de la Houssinière, BP 32229, 44322 Nantes Cedex 03, France.

PMID: 16471848 DOI: 10.1021/jp055445u

Abstract

How indices of refraction n(omega) of insulating solids are affected by the volume dilution of an optical entity and the mixing of different, noninteracting simple solid components was examined on the basis of the dielectric function epsilon(1)(omega) + iepsilon(2)(omega). For closely related insulating solids with an identical composition and the formula unit volume V, the relation [epsilon(1)(omega) - 1]V = constant was found by combining the relation epsilon(2)(omega)V = constant with the Kramers-Kronig relation. This relation becomes [n(2)(omega) - 1]V = constant for the index of refraction n(omega) determined for the incident light with energy less than the band gap (i.e., h omega < E(g)). For a narrow range of change in the formula unit volume, the latter relation is well approximated by a linear relation between n and 1/V.

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