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Two-Body Operators and Rare-Earth Spectroscopy: (English)

Two-Body Operators and Rare-Earth Spectroscopy: (English)

          
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About the Book

This dissertation, "Two-body Operators and Rare-earth Spectroscopy" by Hendrikus Johannes, Kooy, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled TWO-BODY OPERATORS AND RARE-EARTH SPECTROSCOPY Submitted by Hendrikus Johannes Kooy for the Degree of Doctor of Philosophy at The University of Hong Kong in October 1994. Irreducible tensor operators are an important tool in the calculation of energy levels and transition intensities in atomic (ionic) spectroscopy. This thesis considers the role played by two-body operators. Applications to correlation effects on crystal-field splitting and energy level calculations are discussed. We also present some detailed calculations of one- and two-photon absorption that demonstrate the importance of correlation effects. Two-body orthogonal operators relevant to the crystal-field spectroscopy of ions with pN, dN and fN configurations are developed. We also give a more general recipe for the development of orthogonal operators. In addi- tion to the orthogonal operators, we present transformations between the i classical operators and our orthogonal operators. Furthermore, an analysis of the delta-function model of correlation crystal fields for p2, d2 and f2 is given. Some suggestions as to which operators might be most effective when applying the orthogonal operators to a calculation are made. We include extensive tabulations of the operators and the transformations. We review recent advances in the calculation of one- and two-photon transition intensities, and introduce the 'direct' method that we have used for our calculations. Problems with the earlier theories, as well as the advantages we see in our theory, are presented. We apply the 'direct' computational technique to one- and two-photon transitions in Pr3+, and two-photon transitions in Gd3+ and Eu2+. Our calculations for Eu2+ provide the first quantitative explanation of two-photon transitions intensities for that ion. DOI: 10.5353/th_b3025197 Subjects: Operator theoryRare earth ions - Spectra


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Product Details
  • ISBN-13: 9781374667556
  • Publisher: Open Dissertation Press
  • Publisher Imprint: Open Dissertation Press
  • Height: 279 mm
  • No of Pages: 324
  • Spine Width: 19 mm
  • Width: 216 mm
  • ISBN-10: 1374667552
  • Publisher Date: 27 Jan 2017
  • Binding: Hardback
  • Language: English
  • Series Title: English
  • Weight: 1039 gr

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