Abstract
There are two established methods for extending the crystal-field model for 4f N configurations. One is to add two-electron correlation crystal-field operators, the other is to extend the basis set to include more configurations. We consider the case of Pr 3+ ions in LiYF 4 and show, by projecting the configuration-interaction Hamiltonian into the 4f 2 configuration, that in this case the two approaches give very similar results.
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