Density Description of AIM

A natural approach of chemical bonding is the integration of atoms in molecule (AIM), i.e., understanding the atom respecting to the rest of the 

DEFINITION AIMl One introduces the partition function of the atom A in a molecule, the positive spatially dependent measure 0 a (x) 1, X G 9 , which multiplied with the total electronic density (positive) from the molecule gives the electronic density associated with the atom in question  

With this defrnition, as specified also in the introductive chapter of this Volume, we can consider the following definition of physical-topological field that may be associated to the atom in molecule. 

DEFINITION AIM2 (of Bader) The physical-topological space available for an atom (A) in a molecule can be defined by a special choice of the partition function, namely 

The advantage of this model is the atoms correlation in molecule with the geometric shape of the distribution of its own electrons, in addition to the advantage of a topological treatment on its own subspaces associated to atoms. 

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