Electrophilicity Long Range Chemical Softness Formulation

4 ELECTROPHILICITY LONG RANGE CHEMICAL SOFTNESS FORMULATION 

Quantum Nanochemistry—Volume II Quantum Atoms and Periodicity 

In this context, we can make a step forward in advancing general recipe for developing local and kernel electrophilicity forms in terms of local softness 5(r) and kernel softness (r, r ) measures of a chemical species as follows 

Geerlings De Proft, 2008 Cardenas et al., 2009 Senet, 1996). One may obtain a condensed-to-atom variant and also for the electrophilic, nucleophilic and radical attacks in the usual way. Moreover, the inverse of tu(r,r ) may generate a hierarchy of nucleophilicity kernel. Unlike the previous formulations, the overall treatment here is general and analytic with hardly any bearing on the explicit form of E(N). The traditional operational definition of local softness and hardness contain the same potential information and they should be interpreted as the local abundance or concentration of their corresponding global properties. 

A similar situation happens with the local electrophilicity. Then, it is necessary to derive new expressions, and conditions that the correct local counterparts of the global softness, hardness, and electrophilicity must fulfill. This work can also be considered as a possible alternative to the traditional expressions of local softness and electrophilicity, see Torrent-Sucarrat et al. (2008, 2010) Gal et al. (2011). 

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Electrophilicity Long Range Chemical Softness Formulation.227... 

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