Spectral Intensities of the Trivalent Lanthanides and Actinides in Solution. II. Pm3+, Sm3+, Eu3+, Gd3+, Tb3+, Dy3+, and Ho3+

Abstract

We have correlated the experimentally determined band intensities in the solution absorption spectra of the trivalent lanthanides with a theoretical expression derived by Judd. The spectra were measured in a single medium, dilute acid solution, and, in most cases, in the range ≈6000–50 000 cm−1. In general, the correlation between calculated and observed intensities was very good, even at higher energies. The variation of the intensity parameters over the series is discussed as is the somewhat unexpected degree of correlation obtained in the ultraviolet region.

Nd3+-doped TeO2–PbF2–AlF3 glasses for laser applications

“…The intermediate coupling approximation used for the calculation of the matrix elements do not vary significantly between two levels due to the electrostatic shielding of the 4f electrons caused by the closeness of 5p shell electrons. Thus, the matrix elements, reported by Weber et al and Carnall et al, for the ion can be used for the calculations [19,20]. On the other hand, Neilson and Koster et al reduced matrix elements for magnetic dipole transitions has been used [21].…”

“…where S ed and S md represent the line strength for the induced electric dipole transitions and the magnetic dipole transitions, respectively [19]. The U ðtÞ D E 2 parameters are the square of the matrix elements of the unit tensor operators U (t) connecting the initial and final states [17,18].…”

The trapping of Gd3+ excitation energy by Cr3+ and rare earth ions in GdAlO3

“…In view compounds, The radiative of the higher absorption rate p1 is estimated to be strength of the 8S + 6I transition ( [13] Figs 1+2) the value of p2 is estimated to be 103s"l.…”

Cristaux laser à ions de terres rares

“…Les <U (t) > sont des éléments de matrice tabulés [9,10], et les Ω t les paramètres d'intensité (Judd-Ofelt) déterminés à partir des spectres de sections efficaces d'absorption mesurés, σ a (λ), à l'aide des expressions [69,8]: Les probabilités d'émission, les durées de vie radiatives des niveaux et les rapports d'embranchement des transitions en sont alors déduites, en écrivant :…”