4f^(N-1)5d energy levels of lanthanides:a quasi-angular-momentum approach and its application to Cs_2NaYF_6:Er^(3+)  

作　　者：马崇庚 江莎 段昌奎 尹民 夏上达 

机构地区：[1]Institute of Modern Physics,Chongqing University of Post and Telecommunications [2]Department of Physics and Hefei National Laboratory for Physical Science at Microscale,University of Science and Technology of China

出　　处：《Chinese Physics B》2009年第5期1961-1967,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos 10874173 and 10774140)

摘　　要：The spin-orbit interaction of the 5d electron needs to be taken into account to give the proper energy structure for the 4fN-1 5d configuration of heavy lanthanide ions occupying a site with ligands forming an octahedron. This paper derives theoretical results for the energy structure by treating the t2 orbitals as quasi p orbitals and then using angular-momentum coupling techniques. An analytic expression for the electric dipole absorption line strengths between 4fN multiplets and 4fN- 1 5d states is given in terms of various angular-momentum quantum numbers and re-coupling coefficients. The result is then applied to interpret the excitation spectrum of Cs2NaYF6：Er3＋. Tbe high-spin and lowspin states of Cs2NaYF6：Er3＋ are discussed in terms of the wavefunctions obtained by using the developed theoretical model.The spin-orbit interaction of the 5d electron needs to be taken into account to give the proper energy structure for the 4fN-1 5d configuration of heavy lanthanide ions occupying a site with ligands forming an octahedron. This paper derives theoretical results for the energy structure by treating the t2 orbitals as quasi p orbitals and then using angular-momentum coupling techniques. An analytic expression for the electric dipole absorption line strengths between 4fN multiplets and 4fN- 1 5d states is given in terms of various angular-momentum quantum numbers and re-coupling coefficients. The result is then applied to interpret the excitation spectrum of Cs2NaYF6：Er3＋. Tbe high-spin and lowspin states of Cs2NaYF6：Er3＋ are discussed in terms of the wavefunctions obtained by using the developed theoretical model.

关 键 词：f-d transition octahedral site spin-orbit interaction coupling of angular momenta 

分 类 号：O481[理学—固体物理]