Parameterizations of the-Spectra

It should be pointed out that the one particle nature of this expression is the only common feature of the semi-empirical version of the J-O Theory and its originally derived, which is the standard ab initio version introduced by Judd and Ofelt in their original papers of 

1962 [3,4]. This is why the expression for the 5/ , defines the Judd-Ofelt parametrization 

crystal field potential and its influence taken into account at the second order of the static model the standard J-O Theory and its original derivation and in addition  

electron correlation effects at the third order based on the static and dynamic models  

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