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I'm so much confused with so look-alike formulas ;

So to begin with:

How is this

enter image description here

Different to this They are basically the same ΔEatom

enter image description here

And last question:

In this picture, we can use ΔEatom for any two energy states n

enter image description here

But here, they say we should use it inly for adjacent states (like n=1&2,etc...)

enter image description here

So can you please tell me the differences between all of these

Qmechanic
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1 Answers1

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The first of your cited articles is wrong. it is not stated what $\Delta n$ is. maybe it should mean you could have to photons going from n3 to n2 and then from n2 to n1, but usually the have not the same $\nu$ the last article tells you of the smallest occurring $\nu$, but it says the same as the other two above.

trula
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  • so what should i do? it's my professor book – Elie Makdissi Oct 05 '21 at 03:15
  • @ElieMakdissi I think the first is OK too, there are cascades between different n,(this is the Δn ) see the answer by Dale here https://physics.stackexchange.com/questions/667880/do-atoms-emit-and-absorb-photons-at-the-same-wavelengths – anna v Oct 05 '21 at 05:59
  • anna v- i didn't really understand how is Dale's answer related to my question, please elaborate :( – Elie Makdissi Oct 05 '21 at 06:39
  • @ElieMakdissi It shows the n energy states of the hydrogen atom, and explains that once an electron goes to a specific higher energy orbital, it can decay in many ways by going to low energy n orbitals. The graph shows it, so there are many Δn for de-excitation. look at the Paschen series, it is an example. – anna v Oct 05 '21 at 07:32
  • anna v - ah okay i'll check it up – Elie Makdissi Oct 05 '21 at 08:57
  • trula - thank you for your answer :)! – Elie Makdissi Oct 05 '21 at 08:58