Semi-ab initio calculations of superposition model and crystal field parameters for Co²⁺ ions using the exchange charge model

Mikhail G. BRIK, Yau Yuen YEUNG

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40 Citations (Scopus)

Abstract

This paper attempts for the first time to establish a reliable linkage between the two well-known and independent models of crystal field (CF), namely the exchange charge (ECM) and superposition models (SM). Our approach aims to show that the SM parameters can be reliably extracted from the distance dependence of the CF invariants for Co²⁺ as derived from the ECM through some semi-ab initio calculations which involved a single fitting parameter and a set of newly constructed procedures. Complete sets of the numerical values of SM parameters Bk and tk for Co²⁺ in its own host lattices of Li₂Co₃(SeO₃)₄, CoSO₄·H₂O, CoSeO₄·H₂O, and Co(OH)₂ are obtained and they are found to be around 13,000-16,000 cm⁻¹ for B₂, 4100-5700 cm⁻¹ for B₄, 4.1-5.0 for t₂and 6.2-6.5 for t₄. The present results generally agree with but should be much better than those incomplete sets of results found by previous researchers using the conventional fitting approach. Plausible explanations for some noticeable discrepancies are also discussed together with the effects of different CF contributions on values of the SM parameters. Copyright © 2008 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)2401-2410
JournalJournal of Physics and Chemistry of Solids
Volume69
Issue number10
DOIs
Publication statusPublished - Oct 2008

Citation

Brik, M. G., & Yeung, Y.-Y. (2008). Semi-ab initio calculations of superposition model and crystal field parameters for Co²⁺ ions using the exchange charge model. Journal of Physics and Chemistry of Solids, 69(10), 2401-2410.

Keywords

  • A. Optical materials
  • D. Crystal fields
  • D. Optical properties

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