Deformation Broadening and the Fine Structure of Spectral Lines in Optical Spectra of Dielectric Crystals Containing Rare-Earth Ions

The procedure of calculation of the spectral line shape in optical spectra of rare-earth ions in crystals with the inclusion of random deformations of an elastically anisotropic crystal lattice caused by point defects is developed. The distribution function of components of the random strain tensor...

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Bibliographic Details
Published in:Physics of the solid state 2019-05, Vol.61 (5), p.795-801
Main Authors: Abishev, N. M., Baibekov, E. I., Malkin, B. Z., Popova, M. N., Pytalev, D. S., Klimin, S. A.
Format: Article
Language:English
Subjects:
Absorption spectra
Crystal defects
Crystal lattices
Crystal structure
Deformation mechanisms
Distribution functions
Fine structure
Impurity Centers
Line shape
Line spectra
Metal ions
Parameters
Physics
Physics and Astronomy
Point defects
Rare earth elements
Solid State Physics
Tensors
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Summary:The procedure of calculation of the spectral line shape in optical spectra of rare-earth ions in crystals with the inclusion of random deformations of an elastically anisotropic crystal lattice caused by point defects is developed. The distribution function of components of the random strain tensor in the case of a low defect concentration is obtained as the generalized six-dimensional Lorentz distribution. The distribution function parameters are represented by the integral functional of the strain tensor components on a sphere of unit radius containing an isotropic point defect in its center. The numerical calculations of the strain tensors induced by point defects and the parameters of the distribution functions of random strains in LiLuF 4 and LaAlO 3 crystals have been performed. The calculated envelope with the doublet structure corresponding to the Γ 2 ( 3 H 4 ) → Γ 34 ( 3 H 5 ) singlet–doublet transition in the absorption spectrum of Pr 3+ ions in the LiLuF 4 crystal agrees well with the data of the measurements.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783419050020