TITLE:
Determination of the Structural Constant of the Atom
AUTHORS:
Milan Perkovac
KEYWORDS:
Action Constant; Fine Structure Constant; Lecher’s Line; Phase Velocity; Planck’s Constant; Stability of Atoms; Stationary States; Structural Coefficient; Structural Constant; Transmission Line
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.3,
February
11,
2014
ABSTRACT:
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 A0 = (μ0/ε0)1/2s02e2 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 s0. 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 s0 = 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 A0, which
is here theoretically derived, while the replacement for fine structure
constant α is 1/(2s02). In this way,
the structural constant s0 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 2s02 = 137.036, i.e., as integer should be Zmax=137. The presented model
of the atoms covers three of the four fundamental interactions, namely the
electromagnetic, weak and strong interactions.