Helium has two electrons whose total spin can either combine to be 0 ("singlet states") or 1 ("triplet states"). Your book discusses how the singlet states split into three levels when one electron is in the 1s state and the other is in the 2p state. How many states will the triplet state split into if 1 electron is in the 1s state and the other in the 2p state? (You need to use the anomalous Zeeman effect to get this right.)
  1. 1 (no splitting)
  2. 3
  3. 5
  4. 7
  5. 9



Using the independent particle approximation (IPA), what would you estimate for the energy of the ground state to first excited state transition in helium?
  1. 5 eV
  2. 10 eV
  3. 20 eV
  4. 40 eV
  5. 80 eV



How does the wave function for doubly-ionized lithium (Z=3) compare to that of hydrogen? (By doubly-ionized I mean it has a charge of +2.)
  1. They are exactly the same.
  2. They have the same shape, but the Li ion's wave function peaks closer to the nucleus.
  3. They are the same shape but the hydrogen weave function peaks closer to the nucleus.
  4. They are totally different shapes, with the hydrogen wave function peaking closer to the nucleus.
  5. They are totally different shapes, with the lithium ion wave function peaking closer to the nucleus.