Character Tables
Question 1
Give the transformation matrix for the following symmetry operations:
 E [Solution]
 C_{2}(x) [Solution]
 C_{3} [Solution]
 σ_{h} [Solution]
 C_{4} [Solution]
 i [Solution]
Question 2
Construct the Character Table for the D_{3h} Point Group. The table has the following operations:
E, 2C_{3}, 3C_{2}, σ_{h}, 2S_{3} and 3σ_{v}.
[Solution]
Question 3
A Character Table has the following operations: E, 2C_{3}, C_{2},
3σ_{v}, 3σ_{d} and one other operation
(with 2 equivalent operations). What is the missing operation? [Solution]
Vibrational Spectroscopy
Question 1
For the following molecules determine the number of IR and Raman active vibrations:
 SiCl_{4} [Solution]
 transSF_{2}Cl_{4} [Solution]
 SbCl_{5} [Solution]
 CH_{2}Cl_{2} [Solution]
Resonance Spectroscopy
Question 1
For the following molecules give the expected coupling pattern that would be observed
in a ^{19}F NMR spectrum (ignore any J_{CF} and J_{HF}):
 PF_{6}^{} [Solution]
 cis^{195}PtF_{2}Cl_{2}^{2} [Solution]
 facMoF_{3}(PMe_{3})_{3} [Solution]
 DF [Solution]
 SiFCl_{3} [Solution]
 SeF_{4} [Solution]
 merPF_{3}Cl_{3}^{} [Solution]
 ^{57}FeF_{4}^{} [Solution]
 AgFPMe_{3} [Solution]
 AlF_{4}^{} [Solution]
