Degree of atomicity in the chemical bonding: Why to return to the H2 molecule?

We analyze two-particle binding factors for the case of \ch{H2} molecule with the help of our original Exact Diagonalization $\mathit{\text{Ab}}\mathit{\text{Intio}}$ (EDABI) approach. Explicitly, we redefine the many-particle covalency and ionicity factors as a function of interatomic distance. Insufficiency of those basic characteristics is stressed and the concept of $\mathit{\text{atomicity}}$ is introduced and corresponds to the Mott and Hubbard criteria concerning the localization in many-particle systems. This additional characteristic introduces atomic ingredient into the essentially molecular states and thus eliminates a spurious behavior of the standard covalency factor with the increasing interatomic distance, as well as provides a physical reinterpretation of the chemical bond’s nature.