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Quantum numbers/ spectroscopic notation

  1. Apr 3, 2012 #1
    Hey,

    This question is from Eisberg's QM textbook,

    I just want to make sure I understand this properly,

    http://img641.imageshack.us/img641/5475/86854232.jpg [Broken]

    Using S' as the total spin, J total angular momentum, and L total orbital momentum,

    For the first case,

    2S3/2

    2S'+1 = 2. so S' = 1/2

    L = 0, since S corresponds to L=0

    J = 3/2, but J = S' + L = 1/2 ≠ 3/2

    So this is impossible?

    3D2

    S'=1

    L=2

    J = 1,2,3 and in this case J = 3

    So possible?

    Finally,

    5P3

    L=1

    S'=2

    J=1,2,3 and in this case J = 3

    Possible

    These three numbers are the quantum numbers the question wants right? Not little l, s and like the possible magnetic quantum numbers?

    Is this correct? I feel like its not..
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
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