中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1961-1967.doi: 10.1088/1674-1056/18/5/039

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4fN-15d energy levels of lanthanides: aquasi-angular-momentum approach and its application to Cs2NaYF6:Er3+

尹民1, 马崇庚2, 江莎2, 段昌奎2, 夏上达3   

  1. (1)Department of Physics and Hefei National Laboratory for Physical Science at Microscale, University of Science and Technology of China, Hefei 230026, China; (2)Institute of Modern Physics, Chongqing University of Post and Telecommunications, Chongqing 400065, China; (3)Institute of Modern Physics, Chongqing University of Post and Telecommunications, Chongqing 400065, China;Department of Physics and Hefei National Laboratory for Physical Science at Microscale, University of Science and Technology of China, Hefei 230
  • 收稿日期:2008-10-12 修回日期:2008-11-06 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10874173 and 10774140).

4fN-15d energy levels of lanthanides: a quasi-angular-momentum approach and its application to Cs2NaYF6:Er3+

Ma Chong-Geng(马崇庚)a), Jiang Sha(江莎)a), Duan Chang-Kui(段昌奎)a)†, Yin Min(尹民)b), and Xia Shang-Da(夏上达)a)b)   

  1. a Institute of Modern Physics, Chongqing University of Post and Telecommunications, Chongqing 400065, China; b Department of Physics and Hefei National Laboratory for Physical Science at Microscale, University of Science and Technology of China, Hefei 230026, China
  • Received:2008-10-12 Revised:2008-11-06 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10874173 and 10774140).

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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-15d 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-15d 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+. The high-spin and low-spin 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

Abstract: The spin--orbit interaction of the 5d electron needs to be taken into account to give the proper energy structure for the 4fN-15d 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-15d 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+. The high-spin and low-spin states of Cs2NaYF6:Er3+ are discussed in terms of the wavefunctions obtained by using the developed theoretical model.

Key words: f--d transition, octahedral site, spin--orbit interaction, coupling of angular momenta

中图分类号:  (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect)

  • 71.70.Ej
71.70.Ch (Crystal and ligand fields)