Intensities of Crystal Spectra of Rare-Earth Ions

Abstract

Magnetic and electric dipole transitions between levels of the 4fx configuration perturbed by a static crystalline field are treated. The expression obtained for the pure-electronic electric-dipole transition probability involves matrix elements of an even-order unit tensor between the two 4fx states involved in the transition. The contributions to the transition probability from interactions, via the crystalline field, with the nd94fx−1, 4fx−1nd, 4fx−1ng configurations are shown to add linearly, in such a manner as to multiply each odd k crystal-field parameter Akq by a constant. If ``J mixing'' in the 4fx configuration is neglected ΔJ between the upper and lower 4fx levels is restricted to six units or less. If ``L mixing'' is neglected then ΔL is also restricted to six units or less. Application is made to the fluorescence spectra of PrCl3 and EuCl3. Many of the missing and weak transitions are explained.

Effect of erbium ion concentration on structural and luminescence properties of lead borosilicate glasses for fiber amplifiers

“…To appreciate the symmetry around the rare earth ions and the ligand, and also to predict radiative properties, the JO theory [10,11] is used to find the intensity parameter (Ω λ , λ = 2, 4 and 6). To find the intensity parameters, the experimental (f exp ) and calculated (f cal ) oscillator strengths are required and can be found using the expressions…”

Spectroscopic and Laser Properties of LiNbO3:Dy3+Crystals

“…Once the energy levels have been determined, the Judd-Ofelt [11,12] intensity analysis was performed using the π and σ polarised absorption spectra as Spectroscopic and Laser Properties ... 185 proposed in Ref. [13].…”

“…[13]. Since the details of the Judd-Ofelt theory, its precision and drawbacks have been extensively analysed elsewhere [11][12][13] we have presented here only the essential results. The central result of the Judd-Ofelt theory is that the oscillator strength fcalc of an electric dipole transition between rare-earth ion multiplets (J -> J') can be expressed by where h is Planck's constant, J is the angular momentum of the initial level, χ = n(n2 + 2)2/ 9 is a local field correction factor, (a U (1 ) b) are the doubly reduced matrix elements and Ωt are empirically determined parameters.…”

“…When comparing various dysprosium doped media [12,13,16] it is apparent that the emission properties of LiΝbO3 are more influenced by nonradiative processes.…”

SPECTROSCOPIC INVESTIGATIONS ON Dy3+, Pr3+ AND Sm3+ DOPED Cdo-ZnO-P2O5 GLASSES FOR OPTICAL APPLICATIONS

“…Moreover, the glasses doped with Sm 3+ ions are very important in optical device manufacturing when compared to other rare earth ions in terms of undersea communications, high-density memory devices, solid state lasers and usual color displays. By applying the J-O theory to the observed absorption bands, the intensity parameters Ωk (k = 2, 4, 6) were evaluated with the help of the oscillator strengths 12,13 and particularly, with the Ω2 parameters, it is possible to explain the covalency of metal-ligand bond and the symmetry of local environment surrounded by the rare earth ions. The higher value of Ω2 parameters in this work specifies the enhancement in covalent bonding and implies higher site asymmetry of the Dy 3+ ions in Cd-Zn phosphate glass matrix.…”