neo_classical_atomic_spectra.pdf (original) (raw)

There is a basic problem with Bohr's Model. This mechanism can not explain electron jumps longer than 1 angular momentum level at a time. Like line spectra observed by Angstrom, Lyman, Paschen, Pfund, etc and summarised by Balmer and Rydberg. Because in Bohr's scheme an electron jump from some energy level n to another level m is not only associated with a change in Energy of the electron {∆E = E_m – E_n = hcR*(1/n^2 – 1/m^2)} but it should also be associated with a change in angular momentum of the electron {∆A = A_m – A_n = h*(m – n)}. A single photon has a unit Angular Momentum (h), so in order to get rid of h*(m–n) units of Angular Momentum, an electron has to release (m–n) photons. But in case of the above mentioned line spectra the whole energy ∆E is carried away by only 1 photon with 1 unit angular momentun (h). So where is the rest of h*(m–n–1) units of angular momentum going?. Perhaps there is a change in angular momentum level of the electrons by only 1 unit and the energy changes by several units. Bohr's simple circular orbits can not explain it and looks like Arnold Sommerfeld needlessly complicated/obfuscated the issue. What is needed is a room for orbits with multiple energy levels possible at the same angular momentum. The function between Energy space and Angular momentum space is not 1-to-1 but many-to-1 .. https://www.academia.edu/36778930/Neo\_Classical\_Atoms\_Molecules\_and\_Nucleus..

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