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--- atomic_transitions_and_spectroscopy [2021/02/10 19:46] – [1.viii.4 Spectroscopy of Hydrogen] admin
+++ atomic_transitions_and_spectroscopy [2022/09/06 18:23] (current) – [1.viii.2 The Bohr Model of Hydrogen] admin
@@ Line 29: / Line 29: @@
 It has to be said that Bohr's model was extremely bold, by which I mean that it would have seemed completely crazy to physicists at the time.  Forget blackbody radiation, the photoelectric effect, Compton scattering and de Broglie matter waves, which only require us to do a bit of fancy footwork about particles sometimes being waves and vice versa.  Bohr is asking us to completely abandon Newton's laws and the laws of electromagnetism when it comes to electrons orbiting the nuclei of atoms.  If there is anything that indicated that a completely new theory of physics was needed it was the Bohr model of hydrogen.
-Bohr suggested that, as long as the electron stays in one of the stationary orbits then it does not emit or absorb any electromagnetic radiation.  However, the electron may jump from a lower energy orbit $E_n$ to a higher energy orbit $E_n$, with $E_n > E_m$, by absorbing radiation with frequency $\nu$ that satisfies
+Bohr suggested that, as long as the electron stays in one of the stationary orbits then it does not emit or absorb any electromagnetic radiation.  However, the electron may jump from a lower energy orbit $E_m$ to a higher energy orbit $E_n$, with $E_n > E_m$, by absorbing radiation with frequency $\nu$ that satisfies
 \[h\nu = E_n - E_m.\]
 In other words, by absorbing a photon with energy $h\nu$.