4. (5 points) One application of the Group Theory in chemistry is to predict vibrational modes of a molecule. For example, Mn(CO):CI (shown below) only gives one IR band. By answering the following questions, you will be able to understand why this is the case. .co OC-Mn-Co $ a. What is the point group of this molecule? b. Copy the Character Table for the identified point group from your textbook (Appendix C) here. 3 CHM2310 SP22 HWK10 (review assignment for chapters 4, 5 and 6) Deadline: 1:00 pm, April 29, 2022 C. Consider only the C-O vibration, develop the reducible representations d. Reduce the reducible representations from (c) to irreducible representations e. Based upon the irreducible representations from (d) and the Character Table, identify which one vibrational mode is IR active (the one that will change the dipole moment)