The Atom Model of Helium and of Neon Based on the Theorem of Niels Bohr ()
ABSTRACT
In a previous, primary treatise of the author the
mathematical description of electron trajectories in the excited states of the
H-atom could be demonstrated, starting from Bohr’s original model but modifying
it three dimensionally. In a subsequent treatise, Bohr’s theorem of an
unalterable angular momentum
h/2π,
determining the ground state of the H-atom, was revealed as an inducement by the—unalterable—electron spin. Starting from this
presumption, a model of the H2-molecule could be created which
exhibits well-defined electron trajectories, and which enabled computing the
bond length precisely. In the present
treatise, Bohr’s theorem is adapted to the atom models of helium and of
neon. But while this was feasible exactly in the case of helium, the neon atom
turned out to be too complex for a mathematical modelling. Nevertheless, a
rough ball-and-stick model can be presented, assuming electron rings instead of
electron clouds, which in the outer shell are orientated as a tetrahedron. It
entails the principal statement that the neon atom does not represent a static
construction with constant electron distances and velocities, but a pulsating
dynamic one with permanently changing internal distances. Thus, the helium atom
marks the limit for precisely describing an atom, whereby at and under this
limit such a precise description is feasible, being also demonstrated in the
author’s previous work. This contradicts the conventional quantum mechanical
theory which claims that such a—locally and temporally—precise description of any atom or molecule structure is
generally not possible, also not for the H2-molecule, and not even
for the H-atom.
Share and Cite:
Allmendinger, T. (2018) The Atom Model of Helium and of Neon Based on the Theorem of Niels Bohr.
Journal of Applied Mathematics and Physics,
6, 1290-1300. doi:
10.4236/jamp.2018.66108.