States of an atom in spectral notation

Discussion in 'Physics' started by circuit2000, Apr 1, 2007.

  1. circuit2000

    Thread Starter Active Member

    Jul 6, 2006
    33
    0
    I solved in the following way:
    For d electron,
    Orbital angular momentum quantum number(L)=2
    Spin angular momentum quantum number(S)=1/2
    Possible values of total angular momentum quantum number(J)= L+S,| L+S-1|,…,|L+S|
    Hence,
    J= (2+1/2), |2+1/2-1|,|2-1/2|
    J= 5/2,3/2,1/2
    Possible states of the atom in spectral notation are,
    2 D 5/2, 2 D 3/2, 2 D ½
    But the answer given in my book is 2 D 5/2, 2 D 3/2.
     
  2. circuit2000

    Thread Starter Active Member

    Jul 6, 2006
    33
    0
    Sorry, I forgot to give the question.
    1)Give in spectral notation the possible states of an atom which has a closed core plus one d electron.

    I solved in the following way:
    For d electron,
    Orbital angular momentum quantum number(L)=2
    Spin angular momentum quantum number(S)=1/2
    Possible values of total angular momentum quantum number(J)= L+S,| L+S-2|,…,|L+S|
    Hence,
    J= (2+1/2), |2+1/2-2|,|2-1/2|
    J= 5/2,1/2,3/2
    Possible states of the atom in spectral notation are,
    2 D 5/2, 2 D 3/2, 2 D 1/2
    But the answer given in my book is 2 D 5/2, 2 D 3/2.
     
Loading...