Abstract—Turning back to Niels Bohr’s model of the hydrogen atom, the paper is trying to resolve one of the issues associated with the model. While N. Bohr in the framework of his model did not find any relation between electron’s motion in the atom and radiation emitted, there is a reason to believe that the relation is bound to exist. Furthermore, it is already given by Rydberg’s formula that expresses the frequency of radiation as a difference of two other frequencies associated in some manner with electron’s rotation.
Based on this approach a new value for the radius of the ground stationary orbit is calculated. It appears to be more than Bohr’s radius by a factor of 1.588. The question why both values for the radius of the ground stationary orbit (Bohr’s radius and a new one) are compatible with Rydberg’s formula is considered. Finally, what exactly Niels Bohr overlooked in his model of the hydrogen atom, is discussed. It is established that Rydberg’s formula can be derived from the more general parameterized postulates, when Niels Bohr used, regardless of the value of the parameter.

Index Terms—Simple relation between the motion and radiation, new radius of the first stationary orbit, inaccuracy of Bohr’s hydrogen atom model.

Valeri Tomashau is with LC Engineers, Inc., 1471 Pinewood Street, Rahway, NJ 07065, U.S.A. (email: vtomashev@gmail.com).

Cite: Valeri Tomashau, "The Hydrogen Atom from a New Angle," International Journal of Applied Physics and Mathematics vol. 4, no. 5, pp. 304-312, 2014.