1. For the term symbols   3D, 4D and 2G,  write the designation including the J values.  In each case pick the term which will have the lowest energy.  

2. Identify the orbitals to which a 4d electron may make an emission transition in the hydrogen atom.

3. The observed vibrational intervals of H⁺², lie at the following values for 0 -> 1, 1 -> 2 respectively ( in cm^-1):  2191, 2064, 1941, 1821, 1705, 1591, 1479, 1368 1257, 1145, 1033,.   Determine the dissociation energy of the molecule.  

4. The equivalent vibrational intervals of HgH are 1203.7, 965.6, 632.4, and 172 cm^-1.  Why are these levels so much different than the H⁺² molecule?  What is the dissociation energy in this case?

5. The vibrational energy levels of NaI lie at 142.81, 417.31, 710.31 and 991.81 cm^-1. (note that these are the actually energy levels, not the intervals as shown in #3 and #4).

a. assign each level to the appropriate quantum number

b. show that these lines fit the expression G(v)=(v+1/2)˜v-(v+1/2)²x_e˜vFrom your fit, find the zero point energy, xe, and the force constant. 

c. Deduce the dissociation energy of this molecule.