(Solved): 2. The element Cerium is element 58 in the 6th row of the periodic table. (a) Looking at the ene ...

2. The element Cerium is element 58 in the $$6^{\text{th }}$$ row of the periodic table. (a) Looking at the energy levels listed in from the energy level for the Cerium : write out the full electron configuration for cerium starting with $$(1\mathrm{s}{)}^2\dots$$ (b) What are the $$\mathrm{S},\mathrm{L}$$ and $$\mathrm{J}$$ values of the cerium ground state? (c) Given the ground state electron configuration, what are the maximum value $$\mathrm{S}$$, $$\mathrm{L}$$ and $$\mathrm{J}$$ could have had? Look at the table of Ce energy levels and find an excited state with the same configuration as the ground state that has these maximum values. What is the energy of this state in $${\mathrm{cm}}^{?1}$$ ? (To get the energy in actual energy units, you multiply the $${\mathrm{cm}}^{?1}$$ by $${\mathrm{h}}^{?}\mathrm{c}$$ )