There are important consequences of the above result, to name a few. The vibrational energy can now be expressed as a sum of contributions from bonds and contacts between atoms, much in the spirit of chemical discussions of their properties. That resolves the problem raised by Seminario, and recently discussed by S. Racioppi et al. referring the methods for the breakdown of interaction energy, an important tool to understand chemical bonding. By proving the DFT formulae for the elements of the DF Connectivity Matrix CAA, CAB (Scheme I) an a priori quantitative method for description of atoms and bonds has been achieved. This finding tends to undermine the assertion once expressed by Parr and Nalewajski: "the atom in a molecule cannot be directly observed by experiment, nor can one measure enough properties of an atom in a molecule to define it unambiguously." Properties of an atom may nonetheless be quantified by present reaction fragility method focused on interactions of the actual density function with an atomic nuclei. (The similar point of view has been a source of the nuclear magnetic resonance method.) We present the energy analysis that leads to diagonalization of the energy matrix in atomic resolution; this is formally parallel to the Charge Sensitivity Analysis (CSA) by Nalewajski et al. However, unlike the CSA method where atomic populations have been assigned to atoms with a selected arbitrary definition, the electronic energy function in our approach rests entirely on the physical and computable quantities: electric field vector and H-F forces.