Open AccessTHE ZERO-FIELD SPLITTING AND g-FACTORS OF d2 IONS IN A TRIGONALLY DISTORTED CUBIC CRYSTAL FIELD
Author(s) -
Dengke Ma,
Xu Yi-Sun,
Hu Zhi-Xiong
Publication year - 1982
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.31.904
Subject(s) - crystal (programming language) , zero (linguistics) , ion , operator (biology) , physics , field (mathematics) , cubic crystal system , corundum , vanadium , tensor (intrinsic definition) , tensor operator , mathematical physics , quantum mechanics , atomic physics , condensed matter physics , materials science , mathematics , pure mathematics , chemistry , philosophy , linguistics , computer science , programming language , spherical harmonics , biochemistry , repressor , transcription factor , metallurgy , gene
By using the irreducible tensor operator method, two corollaries are derived from generalized Wigner-Eckart theorem and the results associated with the corollaries are obtained. For the d2 ions in a trigonally distorted cubic crystal field, we have considered both the interactions of all possible Vc and (Vt+Hs) and taken into account the coval-ent bonding and dynamical Jahn-Teller effects with reduction factors. The groundstate wave functions are obtained through successive perturbations. Then the formulas of g∥, g⊥ and D are derived.In application to vanadium corundum, results in agreement with the experiments are obtained by overall fitting of the theoretical values to the observed values of D, g∥, g⊥ and absorption spectrum.Finally, we discuss the problems involved in our model, methods, results and importance of consideration of all interactions.