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)
aInstitute of Modern Physics, Chongqing University of Post and Telecommunications, Chongqing 400065, China; bDepartment of Physics and Hefei National Laboratory for Physical Science at Microscale, University of Science and Technology of China, Hefei 230026, China
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.
Received: 12 October 2008
Revised: 06 November 2008
Accepted manuscript online:
PACS:
71.70.Ej
(Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect)
Fund: Project supported by the National
Natural Science Foundation of China (Grant
Nos 10874173 and 10774140).
Cite this article:
Ma Chong-Geng(马崇庚), Jiang Sha(江莎), Duan Chang-Kui(段昌奎), Yin Min(尹民), and Xia Shang-Da(夏上达) 4fN-15d energy levels of lanthanides: a quasi-angular-momentum approach and its application to Cs2NaYF6:Er3+ 2009 Chin. Phys. B 18 1961
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