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The phenomenon of spin-orbit-coupling let suppose that the electron spin, which exhibits the character of an oscillator but which cannot be explained by classical physical laws, is herewith identified to be responsible for a minimal angular momentum – given by Planck’s constant which determines the ground state of a single H-atom according to Bohr’s model. Thereby, the frequencies of the spin and of the revolution are identically-equal which leads to a standing wave. However, in contrast to the theory of Classical Quantum Mechanics where the electron-orbital is spherical even in the ground state, here the electron trajectory is planar. Applying the same concept for the H2-molecule, i.e. assuming the maintenance of the basic angular momentum for both H-atoms at the H-H bond, a comparatively simple computation method for the intrinsic variables could be found regarding several force equilibria between electrons and protons. However, the relation could not be formulated generally but had to be adapted to four conceivable arrays. Since in any case a variety of combinations of the relevant parameters exists fulfilling the given condition, the total energy has to be introduced for determining the preferred stable state which is given by an energy minimum. As the computations yielded, only the so-called intranuclear-sympodial array enables a stable state being given at a bond length of 0.746 Å, and hence matching perfectly the desired value determined by XRD-crystallography. This result exceeds the accuracy of the next best result which was obtained by the Classical Quantum Mechanics, namely 0.71Å. However, the difference between the resulting bond energies for the two methods is enormous. If these values are compared with the experimentally determined literature value, the traditional method appears to be accurate. However, as consideration of plausibility yielded, this literature value is probably not true but significantly too high, so it cannot be adduced to stringent evidence. If the here proposed approach is correct, implicating well-defined electron trajectories, the theory of Classical Quantum Mechanics, as well as Heisenberg’s uncertainty principle, cannot be maintained since it is not possible that the reality can be described in terms of two different theories.

The Elucidation of the Ground State in the H-Atom-Model of Niels Bohr and its Application on the Bond-Length Computation in the H2-Molecule