Phys 4910 - Spectroscopy Assignment 7
due Wednesday March 28th 2018


Assignment

  1. For each of the following configurations determine the possible terms which can arise. For each one calculate the degeneracy, and show that the sum of the degeneracies of the term is equal to the degeneracy of the configuration. (Hint: for the configurations containing degenerate electrons first write down the terms from those electrons, and then try to add in the next electron(s))
    1. 1s² 2s² 2p 3p 5f
    2. 1s² 2s² 2p6 3d 6g 7f
    3. 1s² 2s² 2p² 3d
    4. 1s² 2s² 2p6 3d² 6g
    5. 1s² 2s² 2p² 3d²
  2. For each of the possible configurations (upper → lower) below, indicate whether the transition would be allowed or not. If not, which selection rule forbids the transition. (assume that all transitions are electric dipole transitions)
    1. 1s2p → 1s3p Forbidden because they both have odd parity, or because Δl = 0 for the one lectron whose quantum numbers change
    2. 2s2p → 3s2p Forbidden because they both have odd parity, or because Δl = 0 for the one lectron whose quantum numbers change
    3. 2s23p → 2s3p2 Allowed
    4. 4f67p → 4f7 Forbidden because they both have odd parity, or because Δl = 2 for the one lectron whose quantum numbers change
    5. 6s9d → 6s6p Allowed