1. Give the quantum numbers (n,1,j,m,ms, m ) of all the electrons for an atom of potassium in its ground state. 2. Explain why its ground state is 'S1/2 based on Pauli's exclusion principle and Hund's rules. 3. What is the shell configuration of the first excited state of the atom of potassium? 4. Show that this first excited state is a doublet based on Pauli and Hund's rules. Give the LS-coupling notation of this term. 5. What is the parity of the ground and first excited states? Can a transition occur? 6. Knowing this doublet transition for K is at 766.489913 nm and 769.896456 nm, what is the energy for each level of the doublet? 7. Fill the following figure with the notations and values of the problem. Energy (in eV) Notation of term Wavelength of transitions (in nm)