Another strategy for constructing force fields that has gained popularity involves approximating electronic densities inside integral expressions that resemble Coulomb interaction integrals. Thus, such approach offers several advantages. They overcome the problems arising from interaction energy formulas directly based on internuclear distances and by using the electron density distributions, that are more physical in nature. They also exploit the experience gained from density functional calculations over the years and consequently they, ideally, require fewer fitting parameters. This kind of approach often relies on Gaussian and/or Slater types of basisfunctions to approximate the electron clouds. Exact expressions for these integrals exist if such kind of basis-functions are used. Furthermore, compared to machine learned potentials, empirical intuition can be built more easily with this kind of potentials since their resulting expressions strongly resemble the solution(s) of simple classical and/or quantum mechanical problems. Notable examples include the Gaussian Electrostatic Model (GEM), the Monomer Electron Density Force Field (MEDFF), and our own force field model, that we intend to improve here.