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Determination of the Structural Constant of the Atom

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The equations for energy, momentum, frequency, wavelength and also
Schr?dinger equation of the electromagnetic wave in the atom are derived using
the model of atom by analogy with the transmission line. The action constant *A*_{0 }= (*μ*_{0}/*ε*_{0})^{1/2}*s*_{0}^{2}*e*^{2} is a key term in the above
mentioned equations. Besides the other well-known quantities, the only one
unknown quantity in the last expression is a structural constant *s*_{0.} Therefore, this article
is dedicated to the calculation of the structural constant of the atoms on the
basis of the above mentioned model. The structural constant of the atoms *s*_{0 }= 8.277 56 shows
up as a link between macroscopic and atomic world. After calculating this
constant we get the theory of atoms based on Maxwell’s and Lorentz
equations only. This theory does not require Planck constant *h*, which once was introduced
empirically. Replacement for *h* is the
action constant *A*_{0}, which
is here theoretically derived, while the replacement for fine structure
constant *α *is 1/(2*s*_{0}^{2}). In this way,
the structural constant *s*_{0} replaces both constants, *h* and *α*. This paper also defines the stationary
states of atoms and shows that the maximal atomic number is equal to 2*s*_{0}^{2 }= 137.036, *i.e.*, as integer should be *Z*_{max}=137. The presented model
of the atoms covers three of the four fundamental interactions, namely the
electromagnetic, weak and strong interactions.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

*Journal of Applied Mathematics and Physics*,

**2**, 11-21. doi: 10.4236/jamp.2014.23002.

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