Abstract
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 language | English |
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Title of host publication | Optical properties of 3d-ions in crystals: Spectroscopy and crystal field analysis |
Editors | Nicolae M. AVRAM, Mikhail G. BRIK |
Place of Publication | Berlin |
Publisher | Springer |
Pages | 95-121 |
ISBN (Electronic) | 9783642308383 |
ISBN (Print) | 9787302285458, 9783642308376 |
DOIs | |
Publication status | Published - 2013 |
Citation
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.Keywords
- 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