Study on Spectral Overlap Model for Energy Transfer between J-Multiplets in Rare Earth-Doped Crystals

Based on the experimental data of KY3F10：Tm3^ reported by Dial, Kushida‘s spectral overlap model (SOM) of energy transfer between J-multiplets was studied. Firstly, with the help of the Inokuti-Hirayama and Yokota-Tanimoto models, the luminescence decay curve of ^3H4 of Tm^3 ion was fitted, and the fitted values of corresponding interaction parameters CDA of energy transfer and CDD of energy migration were obtained. Secondly, by compared with Kushida‘‘s SOM in which the relevant Judd-Ofelt approximative transition rates are known, the average overlap integrals of SOD and SDA were obtained. For S DD, how to treat the contribution of the electronic-dipole (ED) crystal field transition forbidden by C4v site symmetry in the calculation of SDD was discussed. For SDA we suggested that, by including the contribution of the phonon sidebands in the analysis of oscillator strength of transition, Kushida‘‘s SOM of ED-ED resonant energy transfer rate can be extended to non-resonant phonon-assisted D-A energy transfer. The strengths and widths of phonon sidebands in this example were discussed, and the results were reasonably good.

Study on Spectral Overlap Model for Energy Transfer between J-Mult iplets in Rare Earth-Doped Crystals

Based on the experimental data of KY3F10∶Tm3+ reported by Diaf, Kushida′s spectral overlap model (SOM) of energy transfer between J-multiplets was studied. Firstly, with the help of the Inokuti-Hirayama and Yokota-Tanimoto models, the luminescence decay curve of 3H4 of Tm3+ ion was fitted, and the fitted values of corresponding interaction parameters CDA of energy transfer and CDD of energy migration were obtained. Secondly, by compared with Kushida′s SOM in which the relevant Judd-Ofelt approximative transition rates are known, the average overlap integrals of SDD and SDA were obtained. For SDD, how to treat the contribution of the electronic-dipole (ED) crystal field transition forbidden by C4v site symmetry in the calculation of SDD was discussed. For SDA we suggested that, by including the contribution of the phonon sidebands in the analysis of oscillator strength of transition, Kushida′s SOM of ED-ED resonant energy transfer rate can be extended to non-resonant phonon-assisted D-A energy transfer. The strengths and widths of phonon sidebands in this example were discussed, and the results were reasonably good.