发光学报2022，Vol.43Issue(12)：1871-1891,21.DOI:10.37188/CJL.EN20220007
镧系离子间无辐射能量传递速率的教程综述
A Tutorial Review on the Nonradiative Energy Transfer Rates between Lanthanide Ions
摘要
Abstract
In this tutorial review,we present nonradiative energy transfer(ET)rates between lanthanides in a rear-ranged form. We emphasize the nature of the contributions which are different from those developed by F?rster and Dexter theories because of the unique properties of the lanthanide ions. The expressions discussed here were based on Kushida ' s approach (electric multipolar mechanisms:dipole-dipole(Wd-d),dipole-quadrupole(Wd-q),and quadrupole-quadrupole(Wq-q))within the Judd-Ofelt framework for 4f-4f transitions. Notice that these mechanisms were extended to include the exchange(Wex)and magnetic dipole-magnetic dipole mechanisms(Wmd-md),and were im-proved to include shielding effects as well as an analytical expression for the F-factor(density of states in Fermi's golden rule). Similar to the original approach of Kushida,only the Forced Electric Dipole(FED)contributions to the Judd-Ofelt intensity parameters should be considered. A detailed discussion of selection rules and matrix elements calculations for the magnetic dipole-magnetic dipole interaction is presented. In addition,step-by-step examples of Tb(Ⅲ)-Eu(Ⅲ)and Yb(Ⅲ)-Er(Ⅲ)energy transfer rates calculations are provided,with extensive Supporting Infor-mation,including scripts for calculations.关键词
无辐射能量传递/镧系/理论计算/Ln-Ln能量传递速率/选择定则Key words
nonradiative energy transfer/lanthanides/theoretical calculations/Ln-Ln energy transfer rates/selec-tion rules分类
数理科学引用本文复制引用
Albano N Carneiro Neto,Renaldo T Moura Jr,Jorge A A Coelho,Mauro E Silva-Junior,Janderson L Costa,Oscar L Malta,Ricardo L Longo..镧系离子间无辐射能量传递速率的教程综述[J].发光学报,2022,43(12):1871-1891,21.基金项目
The authors are grateful for the financial sup- port from CNPq, CAPES, FACEPE, and FINEP agencies. This work was funded by the Public Call n. 03 Produtividade em Pesquisa PROPESQ/PRPG/UF- PB project number PVN13305-2020, and PROPESQ/ CNPq/UFPB PIN11132-2019. This work was devel- oped within the scope of the project CICECO-Aveiro Institute of Materials, UIDB/50011/2020 and UIDP/ 50011/2020, financed by Portuguese funds through the FCT/MEC and when appropriate co-financed by FEDER under the PT2020 Partnership Agreement. RLL is grateful for the partial financial support un- der grants: Pronex APQ-0675-1.06/14, INCT-NANO- MARCS APQ - 0549 - 1.06/17, APQ - 1007 - 1.06/15, and CNPq-PQ fellowship (Proc. 309177/2018-9) （Proc. 309177/2018-9）
