Calculations of Complete 4fn and 4fn-15d1 Energy Level Schemes of Free Trivalent Rare-Earth Ions

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  • Calculations of Complete 4f<sup>n</sup> and 4f<sup>n-1</sup> 5d<sup>1</sup> Energy Level Schemes of Free Trivalent Rare-Earth Ions

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Abstract

Calculations of complete energy level schemes for 4fn and 4fn−15d1 electronic configurations of free trivalent rare-earth ions have been performed. Semi-empirical Hamiltonian was used for the calculation of 4fn configuration while a fully relativistic first-principles many-electron method was used for the calculation including 4fn−15d1 configuration. As a result, Dieke’s diagram is extended to about 200000 cm−1 in the case of 4fn electronic configurations and about 370000 cm−1 in the case of 4fn−15d1 electronic configurations. Calculated energy levels are plotted as a function of the atomic number.

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