The De Broglie's relation was a fundamental step in the development of a wave nature for matter. Therefore, we have examined it from the perspective of the new atomic theory. This relation makes successful predictions of the stable energy levels for electrons orbiting a nucleus. The formulation of the de Broglie's relation is a fundamental application of the theory of wave-particle duality for a material particle. In this work, the direct demonstration employing the equations E = mc² and E = hcλ, was avoided. We provide a complete analysis of this relation considering features of the special theory of relativity.
De Broglie's relation; relativistic effects; modern atomic theory
