The general theory of atoms including the related excited states and energy levels is reviewed. Numerical calculations and detailed works for several elements are presented to establish a better understanding of excited states. The article seeks also for connections between atomic behavior, and the internal structures and inner electrons of atoms. Then the atomic excited energy levels are formulated using the corresponding atomic ionization energies and a new defined parameter called “Characteristic Exponent k”. Furthermore, a small data bank is generated using the calculated “characteristic exponents k” for elements to be utilized for future simulations, studies, research activities and a connection to the type of atoms and their internal atomic structures.