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Photon emissions from hydrogen

  1. Dec 10, 2007 #1
    [SOLVED] Photon emissions from hydrogen

    1. The problem statement, all variables and given/known data
    How many different photon emissions can hydrogen atom make going down from excited state 5 to ground level ?

    2. Relevant equations

    Thats what I'm lookin for.

    3. The attempt at a solution

    Simply by counting I got 10 different photon emissions.
    But is there some equation for doing this elegantly ?
  2. jcsd
  3. Dec 11, 2007 #2
    Isn't excited state 5 energy level n=6? So shouldn't there be 5+4+3+2+1 photons possible since from n=6, the electron can make 5 transitions, and from n=5 it can make 4 transitions, etc?
  4. Dec 11, 2007 #3
    thanks, I got it
  5. Dec 11, 2007 #4
    For excited state n there is (1+n)*n/2 possible different photon emissions.
    Last edited: Dec 11, 2007
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