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Parametrization of electric‐dipole intensities in f N systems due to electron‐correlation effects
Author(s) -
Kaminskii A. A.,
Kornienko A. A.,
Chertanov M. I.
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221340231
Subject(s) - parametrization (atmospheric modeling) , dipole , operator (biology) , electric dipole transition , ion , physics , atomic physics , electron , electric dipole moment , magnetic dipole , chemistry , quantum mechanics , biochemistry , repressor , transcription factor , gene , radiative transfer
The consideration of transfer processes of an electron from ligand to the trivalent lanthanide ion allows to obtain theeffective dipole‐moment operator containing the terms having complicated tensor structure. Using the second quantization technique as well as the canonical‐transformation method permit to write the expression for the electric‐dipole (4f‐4f)‐transition probabilities in a form, which is convenient for the interpretation of the experimental data. The expression for the transition probabilities contains traditional Ω 2 , Ω 4 , and Ω 6 parameters as well as four additional D 2 , D 4 , L 2 , and L 4 ones being due to the complicated tensorial structure of the electric‐dipole moment operator. The microscopic analysis carried out for the Er 3+ ion in LaF 3 , single crystal shows that one can neglect the terms with L 2 , and L 4 parameters. Using the new parametrization scheme containing five parameters (Ω 2 , Ω 4 , Ω 6 , D 2 , and D 4 ,) the intensity spectroscopic properties of Pr 3+ ions in Bi 4 Ge 3 O 12 , single crystal are non‐contradictorily described, where the hypersensitive inter‐manifold 3 II 4 → 3 F 2 transition is taken into account. On the basis of this parametrization scheme the best description of the experimental data as a whole as well as of the hypersensitive inter‐manifold 4 I 15/12 → 2 H 11/2 , 4 G 11/2 transitions of Er 3+ ions in Y 3 Al 5 O 12 , Lu 3 AI 5 O 12 , and BaYb 2 F 8 single crystals are also obtained.