(Solved): 4. The character table for C4v is shown below: a. Determine the oraer or the point group. b. Wha ...

4. The character table for ${\mathrm{C}}_{4v}$ is shown below: a. Determine the oraer or the point group. b. What is the principal axis of rotation? c. Which irreducible representations are antisymmetric to the principal axis of rotation? d. Which irreducible representation(s) are the two-dimensional (doubly degenerate)? e. Which irreducible representations contain the $\mathrm{x},\mathrm{y}$, and $\mathrm{z}$ axis translations? f. Which irreducible representations correspond to which d orbitals? 5. Draw the resulting structure of the following symmetry operations: