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Title: X-ray resonant Raman scattering in the rare earths

Abstract

This paper develops a theory of resonant Raman scattering within the framework of a localized model. Expressions for the scattering amplitude and cross section are derived by employing the methods of spherical-tensor analysis; a simple factorization is obtained for the geometrical (angular dependence) and electronic (matrix element) components, which can therefore be studied independently. Photon polarization effects are examined. It is shown that, for fast collisions, the integrated intensity is expressible by way of spin and orbital effective operators, thus allowing for a simple interpretation of the scattering process. For the 2{ital p}{r_arrow}4{ital f}, 3{ital d}{r_arrow}2{ital p} resonance in Gd{sup 3+}, Dy{sup 3+}, Ho{sup 3+}, and Er{sup 3+}, numerical calculations of the cross section are discussed. In the case gadolinium, the agreement between calculations and experiments provides further evidence for the quadrupolar nature of certain spectral features. {copyright} {ital 1996 The American Physical Society.}

Authors:
; ;  [1]
  1. European Synchrotron Radiation Facility, Boite Postale 220, F-38043 Grenoble Cedex (France)
Publication Date:
OSTI Identifier:
399818
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 54; Journal Issue: 22; Other Information: PBD: Dec 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; RARE EARTH COMPOUNDS; X-RAY SPECTRA; RESONANCE SCATTERING; RAMAN EFFECT; SCATTERING AMPLITUDES; CROSS SECTIONS; POLARIZATION

Citation Formats

van Veenendaal, M, Carra, P, and Thole, B T. X-ray resonant Raman scattering in the rare earths. United States: N. p., 1996. Web. doi:10.1103/PhysRevB.54.16010.
van Veenendaal, M, Carra, P, & Thole, B T. X-ray resonant Raman scattering in the rare earths. United States. doi:10.1103/PhysRevB.54.16010.
van Veenendaal, M, Carra, P, and Thole, B T. Sun . "X-ray resonant Raman scattering in the rare earths". United States. doi:10.1103/PhysRevB.54.16010.
@article{osti_399818,
title = {X-ray resonant Raman scattering in the rare earths},
author = {van Veenendaal, M and Carra, P and Thole, B T},
abstractNote = {This paper develops a theory of resonant Raman scattering within the framework of a localized model. Expressions for the scattering amplitude and cross section are derived by employing the methods of spherical-tensor analysis; a simple factorization is obtained for the geometrical (angular dependence) and electronic (matrix element) components, which can therefore be studied independently. Photon polarization effects are examined. It is shown that, for fast collisions, the integrated intensity is expressible by way of spin and orbital effective operators, thus allowing for a simple interpretation of the scattering process. For the 2{ital p}{r_arrow}4{ital f}, 3{ital d}{r_arrow}2{ital p} resonance in Gd{sup 3+}, Dy{sup 3+}, Ho{sup 3+}, and Er{sup 3+}, numerical calculations of the cross section are discussed. In the case gadolinium, the agreement between calculations and experiments provides further evidence for the quadrupolar nature of certain spectral features. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevB.54.16010},
journal = {Physical Review, B: Condensed Matter},
number = 22,
volume = 54,
place = {United States},
year = {1996},
month = {12}
}