'The Kossel-Sommerfeld Theory and the Ring Atom'. 'Einstein's unknown insight and the problem of quantizing chaos' (PDF). ^ The Collected Papers of Albert Einstein, vol.'The quantum theory of radiation and line spectra'. ^ a b Sommerfeld, Arnold Johannes Wilhelm (1921).The atom and the Bohr theory of its structure : an elementary presentation. ^ a b Kramers, Hendrik Anthony (1923). This lecture is about Bohrs Atomic model.To learn more, watch this lecture till the end.bohrsatomicmodelchemistrynajamacademySubscribe my channel at:http.Nevertheless, both solutions fail to predict the Lamb shifts. It does introduce several important features of all models used to describe the distribution of electrons in an atom. This solution (using substitutions for quantum numbers) is equivalent to the solution of the Dirac equation. Bohr’s model of the hydrogen atom provides insight into the behavior of matter at the microscopic level, but it does not account for electronelectron interactions in atoms with more than one electron. ∫ 0 T p r d q r = n h, is the fine-structure constant. When electrons return to a lower energy level, they emit energy in the form of light. Orbits further from the nucleus exist at higher energy levels. Following the discoveries of hydrogen emission spectra and the photoelectric effect, the Danish physicist Niels Bohr (1885-1962) proposed a new model of the atom in 1915. The Bohr–Sommerfeld model added to the quantized angular momentum condition of the Bohr model with a radial quantization (condition by William Wilson, the Wilson–Sommerfeld quantization condition ): The Bohr model postulates that electrons orbit the nucleus at fixed energy levels. Sommerfeld argued that if electronic orbits could be elliptical instead of circular, the energy of the electron would be the same, except in the presence of a magnetic field, introducing what is now known as quantum degeneracy. Bohr–Sommerfeld theory is named after Danish physicist Niels Bohr and German physicist Arnold Sommerfeld. The Bohr–Sommerfeld model (also known as the Sommerfeld model or Bohr–Sommerfeld theory) was an extension of the Bohr model to allow elliptical orbits of electrons around an atomic nucleus. ( page 364) The Sommerfeld extensions of the 1913 solar system Bohr model of the hydrogen atom showing the addition of elliptical orbits to explain spectral fine structure. The Bohr model shows that there are 2 electrons in the innermost shell, then 8, 18 and so on, but it doesnt have an explanation for why that is the case. The main reason is because it offers explanatory as well as descriptive and predictive power. (End plates to ) 5 electrons with the same principal and auxiliary quantum numbers, orbiting in sync. This is why the quantum theory is more powerful than Bohrs theory: its explanatory power.

Bohr's atomic model