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

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 energy quantum of an electron in an orbit using hydrogen, lithium and sodium atom as a base. It is difficult to find structure of electron experimentally, a mathematical attempt to predict the energy quantum number of an orbit when not in motion, was developed to study the atom with same number of orbits, different atomic numbers and observed that an increase in orbits has a major effect on the energy level. An attempt has been made to give a model that predicts the energy quantum of an electron in an orbit, the focus of these work is to develop a mathematical model that can predict energy quantum of electron in an orbit.