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The relationship between perturbation theory and direct calculations of rare earth transition intensities

Michael F. Reid, Gary W Burdick, H.J Kooy

arXiv:cond-mat/9310057Journal of Alloys and CompoundsJun 1, 199411 citations

Two-Photon Absorption Spectroscopy of Rare Earth Ions

N. Bloembergen

Observations on two-photon transitions in the 4f7 configuration of Gd3+ and Eu2+ reveal the importance of crystal field and spin-orbit interactions in the intermediate 4f6 5d levels.

International Conference on Luminescence - 1984Jan 1, 19840 citations

Polarization characteristics of the most intense two-photon transitions of rare-earth ions in crystals

L. A. Dzhuguryan

Journal of Applied SpectroscopyApr 1, 19802 citations

Calculation of single-beam two-photon absorption transition rate of rare-earth ions using effective operator and diagrammatic representation

Chang‐Kui Duan, Michael F. Reid, Gang Ruan +1 more

arXiv:physics/0505162Journal of Alloys and CompoundsJun 24, 20050 citations

A new contribution to spin-forbidden rare earth optical transition intensities: Gd3+ and Eu3+

M. C. Downer, Gary W. Burdick, Dhiraj Kumar Sardar

Quantitative calculations show that numerous spin-forbidden linear optical transitions observed in trivalent rare earth ions acquire a major fraction of their intensity from hitherto neglected contributions involving spin–orbit linkages within excited configurations. Motivated by the importance of analogous linkages previously demonstrated in two-photon absorption, we derive a general expression applicable for all lN→lN transitions which can be incorporated into a revised Judd–Ofelt analysis of observed intensities. Presenting this revised analysis of observed linear absorption intensities for Gd3+ and Eu3+, we show that the new contribution is often comparable to standard contributions. With substantial modification of previously fitted phenomenological parameters, an improved fit to observed intensities is achieved, suggesting that reanalysis of linear intensity data for all trivalent rare earths is warranted.Quantitative calculations show that numerous spin-forbidden linear optical transitions observed in trivalent rare earth ions acquire a major fraction of their intensity from hitherto neglected contributions involving spin–orbit linkages within excited configurations. Motivated by the importance of analogous linkages previously demonstrated in two-photon absorption, we derive a general expression applicable for all lN→lN transitions which can be incorporated into a revised Judd–Ofelt analysis of observed intensities. Presenting this revised analysis of observed linear absorption intensities for Gd3+ and Eu3+, we show that the new contribution is often comparable to standard contributions. With substantial modification of previously fitted phenomenological parameters, an improved fit to observed intensities is achieved, suggesting that reanalysis of linear intensity data for all trivalent rare earths is warranted.

The Journal of Chemical PhysicsAug 15, 198883 citations

Calculation of intensity for transitions within 4f~N configuration of rare-earth ions in crystals

Chang‐Kui Duan

Firstly,the crystal-field model is reviewedwith emphasis on the energy-splitting and the lift of parity-forbidden rule for d-d or f-f one-photon ED transition caused by it.Then based on our work the progressof transition intensity calculations for one-photon,two-photon transitions and electronic Raman scattering within the 4f~(N) configuration of rare earth ions are commented on and some suggestions on further directions in this field are proposed.

Journal of Chongqing University of Posts and TelecommunicationsJan 1, 20051 citation

The relationship between perturbation theory and direct calculations of rare-earth transition intensities

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The relationship between perturbation theory and direct calculations of rare-earth transition intensities

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