Homework Problems

1. List the possible spectroscopic states that can arise in the following electronic configurations: $(1s)^2$, $(2p)^2$, $(2p)^3$, $(2p)^4$, and $(3d)^4$. Take the exclusion principle into account. Which should be the ground state?

2. Use Hund's rules to find the spectroscopic description of the ground states of the following atoms: N($Z$=7), K($Z$=19), Sc($Z$=21), Co($Z$=27). Also determine the electronic configuration.

3. Use Hund's rules to check the $(S,L,J)$ quantum numbers of the elements with $Z=$14, 15, 24, 30, 34.