A Parabolic Model of Atomic and Nuclear Structure

摘要

A newly developed mathematical model of atomic structure relates the properties of the paraboliod to the atoms' shells and orbits Fattah (2013). Further search in relating n shells with orbits and nucleus to the properties of a series of concentric parabolic curves showed a focal orbit of unit diameter for each paraboloid n~2/4 distant from the vertex. The centroid of the paraboloid is 3n~2/5n~2 distant and the focus of the parabola is 1/4n~2 distant from the vertex. The parabolas represent the atomic shells, with all orbits of circular shape in the shells. Electrons configuration was developed representing distribution of electrons in the circular orbits. Nucleons were related the centroids representing the massive part of the atom. The frequencies of the visible spectra, infrared, ultraviolet and x-rays were found to be related to the electronic transitions. Moreover, the model simulates the recent periodic table in more details. In particular, the transition elements were clearly presented. It is an important addition as it opens doors for revealing new symmetries within elements.