Given that a point to sphere force is no longer determined using Coulomb’s Law, a Hydrogen molecule now has four different electrostatic forces at play.
- F1 is the force between the two protons, treated as points. This force is calculated using the Coulombic Law.
- F2 is the force between P2, the Hydrogen proton and C1 the opposing Hydrogen electron cloud treated as a point to sphere interaction. This force is calculated using the “corrected equation”.
- F3 is the force between P1, the Hydrogen proton and C2 the opposing Hydrogen electron cloud treated as a point to sphere interaction. This force is calculated using the “corrected equation”.
- F4 is the force between the two electron clouds, treated as hollow spheres in this example and calculated using the numerical approximation derived earlier.
- Radius of Hydrogen atom 5.29177 x 10 -11 m (0.000000000053)
- Charge of Hydrogen atom 1.602 x 10-19 C (0.0000000000000000001602)
- Starting Separation distance 0.000000000111300000 m
- Ending Separation distance 0.000000000470300000 m
- Coulombic constant 8.988×109 N⋅m2⋅C−2
- 200 increments
- Points on circle=36
- Using the corrected equation to model four different electrostatic forces in a Hydrogen atom pair over may distances results in a Lennard Jones curve with a stable distance of 1.7e-10m.