Bohr orbit theory revisited. II. Energies for 1S, 2P, 3D, and 4F states of helium

Abstract

A modified Bohr orbit procedure is used to calculate the energies for the IS ground state and the 2P. 3 0 .

Mathematical analysis of a Bohr atom model

“…However, for other atoms, including the simple helium, there are difficulties unaccountable by the Bohr-Sommerfeld theory; see e.g. [6,7]. Heisenberg worked under both Bohr and Sommerfeld trying to resolve such difficulties, eventually gave up but in the process invented the matrix mechanics during the 1930s.…”

“…(ii) The Schrödinger-Born-Oppenheimer model (1.11) involves large-scale numerical computation and is rather theoretically intractable, while the Bohr model (1.5), (1.9) and (1.10) requires only desk-top computing, producing outcomes of electron configurations highly valuable and intuitive for atomic experiments and molecular modeling, especially with the incorporation of the Hartree-Fock and other refinement techniques ( [6,7,5,10,14], e.g. ).…”

A simple model to calculate total and ionization energies of any atom

“…Due to the nature of the problem, in which many particles interact among each other, all these approaches can only give approximate results, and other simpler approaches have been published [14][15][16][17][18][19][20]. In fact, in several papers, Bohr's model has been revisited [21][22][23][24][25][26], and that motivated me to write a very simple calculation based on the geometrical approach of Gomez [27]. Another motivation was that the total energy values obtained with this model fluctuate around the experimental values reported in the NIST Atomic Spectra Database [28].…”