Question on the Bohr atomic model and energy

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SUMMARY

The discussion centers on the interaction between photons and electrons in the context of the Bohr atomic model, specifically regarding energy states E1, E2, and E3. When a photon with energy greater than E2 - E1 interacts with an electron at E1, it can indeed promote the electron to E2, resulting in the photon losing energy equivalent to E2 - E1. However, if the photon energy does not match the exact transition energy, it may lead to stimulated emission, returning the electron to its original state. The Frank-Hertz experiment is referenced as evidence of discrete atomic transitions.

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physics user1
Let's say there are three states ofor energym, E1, E2 and E3, and the electron is at E1, what happens if a photon has energy E > E2-E1 ?
Does it interact to the electron anD take it to E2 and the photon loose energy E2-E1 or it doesn't interact at ALL?
I mean, the electron can't have an energy greater than E2 and be in state E2
 
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An electromagnetic wave can cause transitions between energy states of an atom even when it's not at exact resonance with the transition energy, but it will just as quickly cause a stimulated emission that brings the atom back to the original state. This can be shown by adding an oscillating time-dependent term in the Hamiltonian matrix of a 2-state system and solving the occupancies of the two energy states as a function of time.
 
in general the Frank-Hertz experiment showed the discrete nature of atomic transitions. the target atoms were invisible to electrons except for the energies shown below ie for cases like;

"
what happens if a photon has energy E > E2-E1 ?
Does it interact to the electron anD take it to E2 and the photon loose energy E2-E1 or it doesn't interact at ALL?"the fact the line widths are not infinitely narrow is prolly worthy of a different thread.

reference;

http://hyperphysics.phy-astr.gsu.edu/hbase/FrHz.htmlimage copied from reference above;
upload_2017-6-30_10-10-41.png
 

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