Sensitivity of Atoms-in-Molecules

The sensitivity of a system composed of interacting atoms (or more specific for atoms in molecules) should take into account the way of reaction (also in the feedback sense) of the system response to the variations of the specific parameters under the influenee of the external factors. 

The definition, the modeling and the application of the sensitivities as a working reactive information of an atomic system, eventually as a subsystems of a molecule, is the purpose of this section the forthcoming discussion follows the references (Nalewajski, 1988, 1990 Nalewajski Korchowiec, 1989a). 

There is known that while a closed atomic system is characterized by its N-number of electrons, once it will became an open system, say by having contact with a reservoir of electrons (coming from catalytic substances, surfaces, for instance) the conjugated parameter with N will characterize the system, namely the potential chemical  

one may consider the forces associated with these parameters variations this way, in analogy with the model of the elastic forces, the bonds in the various potentials representations P(X, Y) can be written considering the adjacent (matrix) variation of the system s parameters so that the action of the conjugated forces having the forms  

These sensitivities as well as the relations between them will be next determined by considering as basic elements in these determinations the components of the matrix associated to the energy E(N,Z)  

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