Electrophilicity Scale for Atoms in Long-Range Valence States

4 ELECTROPHILICITY SCALE FOR ATOMS IN LONG-RANGE (VALENCE) STATES 

As an application to atomic systems, the efifective Slater atomic model will be considered (Slater, 1930 dementi Raimondi, 1963 dementini et al., 1967) that is employing the Slater effective charge and the valence electrons through the potential (4.312) and the radial electronic density for a given quantum (shell) number n and the orbital exponent related with Eqs. (4.317) and (4.131), here as 

In these conditions the radial atomic local softness, global softness and local chemical hardness become, fi-om Eqs. (4.228), (4.229) and (4.232), respectively, as (Putz Chattaraj, 2013)  

Within this analytical context the atomic kernel, local and global elec-trophilicities of Eqs. (4.238), (4.245) and (4.234) respectively become (Putz Chattaraj, 2013) 

For practical implementation one should finally assure the numerical integral hierarchy for each atomic system (Putz Chattaraj, 2013) 

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