Third-order electron correlation theory of electronic Raman scattering for rare-earth ions in crystals: Effective-tensor-operator formulation

1989 ◽  
Vol 40 (4) ◽  
pp. 2019-2023 ◽  
Author(s):  
Lidia Smentek-Mielczarek
Keyword(s):  
Rare Earth ◽  
Raman Scattering ◽  
Electron Correlation ◽  
Rare Earth Ions ◽  
Tensor Operator ◽  
Third Order ◽  
Correlation Theory ◽  
Operator Formulation ◽  
Electronic Raman Scattering

Electronic Raman Spectra. VII. Raman Spectra of the Lanthanides

1971 ◽  
Vol 49 (13) ◽  
pp. 2336-2344 ◽  
Author(s):  
J. A. Koningstein ◽  
P. Grunberg
Keyword(s):  
Experimental Data ◽  
Rare Earth ◽  
Raman Scattering ◽  
Raman Spectra ◽  
Rare Earth Ions ◽  
Lanthanide Ions ◽  
Electronic Transitions ◽  
Raman Transition ◽  
Trivalent Lanthanides ◽  
Electronic Raman Scattering

Additional experimental data are reported on electronic Raman scattering of trivalent lanthanides, making the observation of this effect of the series nearly complete. The bulk of the information now available points to the fact that the intensity of electronic Raman transition is strongest for the rare earth ions in the middle of the series. The most profound differences of polarization features of electronic transitions and phonons is observed in the situation where the lanthanide ions have an odd number of 4f electrons. Antisymmetric scattering tensors play a less important role.

Magnetic Linear Birefringence in Rare Earth Systems. II. Third-Order Approach

2004 ◽  
Vol 69 (1) ◽  
pp. 34-46
Author(s):  
Lidia Smentek
Keyword(s):  
Rare Earth ◽  
Field Potential ◽  
Second Order ◽  
Rare Earth Ions ◽  
Lanthanide Ions ◽  
Linear Birefringence ◽  
Third Order ◽  
The Third ◽  
The Impact ◽  
Effective Operators

The theory of linear magnetic birefringence of rare earth ions in crystals is extended here by the contributions that represent a direct perturbing influence of the crystal field potential surrounding the central ion. The basic assumptions of the theoretical model are the same as in the previous analysis of second-order terms. The third-order contributions introduced here break the free ionic system approximation, and they represent the impact due to configuration interaction. The effective operators include the perturbing influence of the excitations from the 4f shell to one-electron states of the same parity (as previously at the second order), and in addition, the excitations to states of opposite parity. All contributing terms are expressed by the effective operators that are defined within the perturbed function approach. The tensorial structure of these operators is discussed, and special attention is directed to newly defined radial integrals. The values of all radial integrals that are necessary for the third-order numerical analysis are presented in the case of all lanthanide ions.

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