A Visualized Mathematical Model of Atomic Structure

Abstract

A model of atomic structure is presented. Many questions that have baffled scientists for the past decades may be answered by this visualized mathematical model. In particular, the model mathematically relates the properties of the parabola to the atoms' shells and orbits. A series of parabolas represents the atom shells (vertical sections along paraboloids) from outer to inner part of the atom. A pair of electrons exists in a circular motion in each orbit. The orbits are contained in the parabolic shells. Orbits in a shell equal to the square of shell number. Furthermore, hydrogen atomic spectrum was simulated and a new relation was verified. The frequencies of the visible spectra of the hydrogen atom were found to be related to the change in the area enclosed by the first orbit in the second shell, 2s, when the electron is excited into the inner concentric orbits. A proportionality constant equals 0.238725 femto-sec has been found to satisfy that relation.