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Bohr's model.

  1. Nov 7, 2014 #1
    1. The problem statement, all variables and given/known data
    In Bohr's model the allowed paths are those which the angular momentum is quantized by L=ħn and the electromagnetic radiation emission is only by transition through two of them
    ν=(Ei-Ef)/h. I am asked to use the above assumptions to calculate the energy levels and the frequencies of transitions in a single electron atom. I am then asked to show that in the limit of high quantum numbers the result reduces to the classical one (the correspondence principle).


    2. Relevant equations


    3. The attempt at a solution
    I managed to arrive at the expected expression for the energy levels, however I am not sure I explicitly used all the assumptions as instructed. What I did was this:
    V=-e2/r, |F|=-∇V=e2/r2=mv2/r, hence v2=e2/mr=(nħ/mr)2
    En=1/2*mv2-e2/r=-e2/2rn where rn=n2ħ2/me2=-13.6/n2
    Does this suffice? Does this after all meet the instructions?
     
  2. jcsd
  3. Nov 12, 2014 #2
    Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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