In a previous study, we introduced a generalized formulation for canonical transformations and spectra to investigate the concept of canonical potentials strictly within the Born-Oppenheimer approximation. Data for the most accurate available ground electronic state pairwise intramolecular potentials in H 2 + , H 2 , HeH + , and LiH were used to rigorously establish such conclusions. Now, a canonical transformation is derived for the molecular force F(R) from the Hellmann-Feynman Theorem with H 2 + , the simplest molecule as molecular reference. These transformations are demonstrated to be inherently canonical to high accuracy but distinctly different from those corresponding to the respective potentials of H 2 , HeH + , and LiH. Further applications of this methodology to Mg 2 , benzene dimer and to water dimer are also considered within the radial limit. The implications of these results for electrostatic model of chemical bonding will be considered and discussed using this fundamentally force-based canonical approach.