Subject: Physical Chemistry · Chapter: Group Theory · Topic: Symmetry Elements Point Groups · Exam: NET JUNE 2011 · Marks: 2 · Difficulty: Medium
A square pyramidal, $\mathrm{MX_4}$, molecule belongs to $\mathrm{C_{4v}}$ point group. The symmetry operations are: $\mathrm{E}, 2\mathrm{C_4}, \mathrm{C_2}, 2\sigma_v$ and $2\sigma_d$. The trace for the reducible representation, when symmetry operations of $\mathrm{C_{4v}}$ applied to $\mathrm{MX_4}$, is: