Theoretical reproduction of the electronic Raman spectra of cerium ions. I. Third-order crystal-field effective-operator formulation

1992 ◽  
Vol 46 (22) ◽  
pp. 14453-14459 ◽  
Author(s):  
Lidia Smentek-Mielczarek
Keyword(s):  
Crystal Field ◽  
Raman Spectra ◽  
Effective Operator ◽  
Third Order ◽  
Operator Formulation

New Developments in Raman Spectroscopy with Lasers: Electronic Transitions

1968 ◽  
Vol 22 (5) ◽  
pp. 438-444 ◽  
Author(s):  
J. A. Koningstein
Keyword(s):  
Raman Spectroscopy ◽  
Single Crystals ◽  
Crystal Field ◽  
Raman Spectra ◽  
Raman Effect ◽  
Electronic Transitions ◽  
New Developments ◽  
Selection Rules ◽  
Phonon Spectra ◽  
Host Lattices

A discussion is given of the Raman spectra of single crystals of yttrium gallium garnet (YGaG), of ytterbrium gallium garnet (YbGaG), and of Yb:YGaG. From a comparison of the spectra it has been possible to separate the phonon spectra of the host lattices from that of an electronic Raman effect which occurs between the crystal field levels of the 2F7/2 manifold of Yb3+ in the garnet crystals. Information with respect to the selection rules governing both types of spectra is given.

Fifth-order two-dimensional Raman spectra of CS2 are dominated by third-order cascades

1999 ◽  
Vol 111 (7) ◽  
pp. 3105-3114 ◽  
Author(s):  
David A. Blank ◽  
Laura J. Kaufman ◽  
Graham R. Fleming
Keyword(s):  
Raman Spectra ◽  
Two Dimensional ◽  
Third Order ◽  
Fifth Order

Raman spectra and third-order nonlinear optical Z-scan properties of MO-Nb2 O5 -TeO2 (M=Zn, Mg, Ca, Sr, Ba) glasses

2011 ◽  
Vol 8 (9) ◽  
pp. 2633-2636 ◽  
Author(s):  
Tomokatsu Hayakawa ◽  
Toshiki Suhara ◽  
Takeshi Fujiwara ◽  
Masayuki Nogami ◽  
Philippe Thomas
Keyword(s):  
Raman Spectra ◽  
Nonlinear Optical ◽  
Third Order

Crystal Field Effects in Zn–Mn and Zn–Cr Alloys

1974 ◽  
Vol 52 (18) ◽  
pp. 1765-1767 ◽  
Author(s):  
R. Harris ◽  
F. T. Hedgcock ◽  
J. O. Ström-Olsen ◽  
M. J. Zuckermann
Keyword(s):  
Electrical Resistivity ◽  
Crystal Field ◽  
Companion Paper ◽  
Spin Fluctuations ◽  
Crystal Field Splitting ◽  
Exchange Constant ◽  
Third Order ◽  
Field Splitting ◽  
Local Spin ◽  
Field Effects

In a companion paper we have determined values for the crystal field splitting parameters of manganese and of chromium in zinc. In the present paper we estimate the influence, to second- and third-order in the exchange constant Jsd, of the crystal field splitting on the electrical resistivity and the magnetization. We find that the influence of the crystal field splitting is to produce a T2 term in the resistivity without the necessity of assuming the existence of local spin fluctuations.

Hyperfine‐Inducedf↔fTransitions: Effective Operator Formulation

2007 ◽  
Vol 40 (2) ◽  
pp. 293-315 ◽  
Author(s):  
Lidia Smentek ◽  
A. Ke¸dziorski
Keyword(s):  
Effective Operator ◽  
Operator Formulation

scholarly journals Studies Of The G Factor For Cr4+ Ion In Bi4ge3o12 Crystal From Crystal-Field And Charge-Transfer Mechanisms

2004 ◽  
Vol 59 (7-8) ◽  
pp. 467-470
Author(s):  
Xiao-Xuan Wu ◽  
Wen-Chen Zheng ◽  
Sheng Tang
Keyword(s):  
Field Theory ◽  
Charge Transfer ◽  
Crystal Field ◽  
Order Perturbation ◽  
Cluster Approach ◽  
Crystal Field Theory ◽  
Third Order ◽  
Reasonable Explanation ◽  
Transfer Mechanisms ◽  
G Factors

The complete third-order perturbation formulas of the g factors g|| and g⊥ for 3d2 ions in tetragonal MX4 clusters have been obtained by a cluster approach. In these formulas, in addition to contributions to the g factors from the crystal-field mechanism in the crystal-field theory, the contributions from the charge-transfer mechanism are included. From these formulas, the g factors g|| and g⊥ for a Cr4+ ion in a Bi4Ge3O12 crystal are calculated. The results agree with the observed values. The calculated Δ gi(i = || or ⊥) value due to the charge-transfer is opposite in sign and about 20% greater than that due to the crystal-field mechanism. So, for the 3dn ions having a high valence in crystals, a reasonable explanation of the g factors should take both the crystal-field and charge-transfer mechanisms into account.

scholarly journals Luminescence Properties of Tetrahedral Coordinated Mn2+; Genthelvite and Willemite Examples

Minerals ◽  
2021 ◽  
Vol 11 (11) ◽  
pp. 1215
Author(s):  
Maria Czaja ◽  
Radosław Lisiecki ◽  
Rafał Juroszek ◽  
Tomasz Krzykawski
Keyword(s):  
Crystal Structure ◽  
Crystal Field ◽  
Raman Spectra ◽  
Energy Levels ◽  
Excited Level ◽  
Covalent Bond ◽  
Spectroscopic Parameter ◽  
X Ray ◽  
Geometric Deformation ◽  
Bond Theory

The cause of the split of 4A4E(4G) Mn2+ excited level measured on minerals spectra is discussed. It is our view that ∆E = |4E(4G) − 4A(4G)| should be considered an important spectroscopic parameter. Among the possible reasons for the energy levels splitting taken under consideration, such as the covalent bond theory, the geometric deformation of the coordination polyhedron and the lattice site’s symmetry, the first one was found to be inappropriate. Two studied willemite samples showed that the impurities occur in one of the two available lattice sites differently in both crystals. Moreover, it was revealed that the calculated crystal field Dq parameter can indicate which of the two non-equivalent lattice sites positions in the willemite crystal structure was occupied by Mn2+. The above conclusions were confirmed by X-ray structure measurements. Significant differences were also noted in the Raman spectra of these willemites.

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