Analysis of the Paramagnetic Resonance and Optical Spectra of d3,7 Ions in Tetragonal Crystal Fields. I. Orbitally Nondegenerate Ground States

1968 ◽  
Vol 48 (1) ◽  
pp. 161-168 ◽  
Author(s):  
J. P. Jesson
2005 ◽  
Vol 866 ◽  
Author(s):  
David Carey

AbstractThe g values of rare earth ions obtained from either paramagnetic resonance or Zeeman measurements are often used to interpret the location and/or environment surrounding rare earth ions. In the case of centres with cubic symmetry the g value can be used to distinguish between substitutional and interstitial sites. For centres with less than cubic symmetry the average g value, taken as 1/3 trace of the g tensor, is often used as an indication of the lattice location and/or a measure of the strength of the local crystal field. This approach is widely used but is based on the assumption that the non-cubic terms in the total crystal field potential are small compared with the cubic crystal field. In this paper we have explored this assumption by calculating the principal g values in axial crystal fields for the Er3+ ion. We examine the limits over which the average g value approach is valid. Comparison is made with published results.


1965 ◽  
Vol 138 (3A) ◽  
pp. A918-A924 ◽  
Author(s):  
R. W. Kedzie ◽  
D. H. Lyons ◽  
M. Kestigian

2013 ◽  
Vol 27 (29) ◽  
pp. 1350209
Author(s):  
GUO-YA XIE ◽  
XIAN-RONG LIU

CaMoO 4: Dy 3+ used as solid-state laser single crystal, which operate in the yellow region, have important technological applications. In this paper, based on the crystal-field theory, the optical spectra of Dy 3+ in CaMoO 4 crystal are calculated by diagonalizing the 42 × 42 energy matrix. The electron paramagnetic resonance (EPR) parameters g factors g‖ and g⊥ and hyperfine structure constants A‖ and A⊥ of 161 Dy 3+ and 163 Dy 3+ isotopes in CaMoO 4 crystal are investigated using the perturbation formulas of the 4f9 ion in tetragonal symmetry. The needed crystal parameters are determined from the superposition model and the local structure of the studied system. The calculated results are in good agreement with the experimental values.


2017 ◽  
Vol 72 (12) ◽  
pp. 1139-1143 ◽  
Author(s):  
Mu-Neng Li ◽  
Zhi-Hong Zhang ◽  
Shao-Yi Wu

AbstractThe local distortions and the spin Hamiltonian parameters g factors g∥, g⊥ and the hyperfine structure constants A∥ and A⊥ for isolated vanadyl ions VO2+ doped in SiO2 glass at 700°C are theoretically investigated from the perturbation formulas of these parameters for a 3d1 ion in tetragonally compressed octahedra. In these formulas, the relationships between local structure of VO2+ ions center and the tetragonal crystal field parameters are established. As a result, the distortion of the ligand octahedron is attributed to the strong axial crystal-fields associated with the short V4+–O2− bond due to the strong V=O bonding in the silica matrix. The theoretical spin Hamiltonian parameters obtained in this work show reasonable agreement with the experimental data.


1995 ◽  
Vol 51 (6) ◽  
pp. 3438-3448 ◽  
Author(s):  
Mitsuo Yamaga ◽  
Brian Henderson ◽  
Taturu Yosida ◽  
Norihiro Kodama ◽  
Yuka Inoue

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