4fN-15d energy levels of lanthanides: aquasi-angular-momentum approach and its application to Cs2NaYF6:Er3+ |
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Authors: | Ma Chong-Geng Jiang Sh DuanChang-Kui Yin Min and Xia Shang-Da |
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Institution: | Institute of Modern Physics,Chongqing University of Post and Telecommunications;Department of Physics and Hefei National Laboratory for Physical Science at Microscale,University of Science and Technology of China |
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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. |
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Keywords: | f--d transition octahedral
site spin--orbit interaction coupling of angular momenta |
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