Development of mathematical model to predict the quantum energy of an electron in an orbit of hydrogen, lithium and sodium

Chukwuemeka Peter Ukpaka

Abstract

The basic particle electron obeys various theories like electrodynamics, quantum mechanics and special relativity. Particle under different experimental conditions behaves differently, allowing us to observe different characteristics which are the
basis for this work. In this paper, we have made an attempt to predict the quantum energy of an electron in an orbit using hydrogen, lithium and sodium atom as a base. As it is ‘difficult’ to find structure of electron experimentally, we make a mathematical attempt to predict the quantum energy number of an orbit when not in motion, we have studied atoms with same number of orbits, different atomic numbers and discovered that an increase in orbits has a major effect on the energy level of an atom also energy differs in different orbits. An attempt has been made to give a model that predicts the quantum energy of an electron in an orbit, the focus of these work is to develop a mathematical model that can predict quantum energy of electron in an orbit.