The function of the radial wave of a hydrogen atom in the principal quantum numbers (n) 4 and 5

Abstract

The simplest atom consisting of a proton and an electron is a hydrogen atom. The energy level and the probability of finding an electron in a hydrogen atom can be determined based on the function of radial wave. The function of radial wave of a hydrogen atom is influenced by the principal quantum number (n) and the orbital quantum number (l). Completion of the function of radial wave of a hydrogen atom in the principal quantum numbers(n) 4 and 5 uses the time-independent Schrodinger equation approach in spherical coordinates, variable separation method and uses the associated Laguerre function. The normalized of the function of radial wave of a hydrogen atom R_nl (r) at n = 4 produces four wave functions:R₄₀(r); R₄₁(r); R₄₂(r); R₄₃(r), whereas at n = 5 produces five wave functions:R₅₀(r); R₅₁(r); R₅₂(r); R₅₃(r); R₅₄(r). The results of this research in the form of the functions of radial wave of hydrogen atom can be used to determine the behavior of electron in a hydrogen atom.