Superposition model and its applications

Yau Yuen YEUNG

Research output: Chapter in Book/Report/Conference proceedingChapters

16 Citations (Scopus)


This chapter provides a detailed account of the key assumptions underlying the superposition model as well as the systematic derivation of its relevant formulas for the d-shell electronic configurations. Besides, examples and remarks are given for the specific applications of the superposition model to deal with local distortion or lattice relaxation, spin-Hamiltonian parameters, and orbit-lattice interaction when transition metal ions are doped in various crystal hosts. Copyright © 2013 Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Title of host publicationOptical properties of 3d-ions in crystals: Spectroscopy and crystal field analysis
EditorsNicolae M. AVRAM, Mikhail G. BRIK
Place of PublicationBerlin
ISBN (Electronic)9783642308383
ISBN (Print)9787302285458, 9783642308376
Publication statusPublished - 2013


Yeung, Y. Y. (2013). Superposition model and its applications. In N. M. Avram, & M. G. Brik (Eds.), Optical properties of 3d-ions in crystals: Spectroscopy and crystal field analysis (pp. 95-121). Beijing: Tsinghua University Press; Berlin: Springer.


  • Local distortion
  • Lattice relaxation
  • Zero-field splittings
  • S-state ions
  • Spin-hamiltonian parameters
  • Dynamic crystal field
  • Orbit-lattice interaction
  • Superposition model
  • Point charge model
  • Angular overlap model
  • Crystal field invariants


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