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4. One application of the Group Theory in chemistry is to predict vibrational modes of a molecule. For example, Mn(CO),Cl (shown below) only gives one IR band. By answering the following questions, you will be able to understand why this is the case. CL.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.

4. One application of the Group Theory in chemistry is to predict vibrational modes of a molecule. For example, Mn(CO),Cl (shown below) only gives one IR band. By answering the following questions, you will be able to understand why this is the case. CL.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.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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e. What are the characters for the irreducible representations for E"? f. If one O atom is placed in a D3h point group, what is the Mulliken symbol for its px orbital? g. If an Co²+ ion is placed in a D3h point group, what is the Mulliken symbol for its dxz orbitals? 4. One application of the Group Theory in chemistry is to predict vibrational modes of a molecule. For example, Mn(CO)5Cl (shown below) only gives one IR band. By answering the following questions, you will be able to understand why this is the case. OC-Mn- СО OC 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.
Transcribed Image Text:e. What are the characters for the irreducible representations for E"? f. If one O atom is placed in a D3h point group, what is the Mulliken symbol for its px orbital? g. If an Co²+ ion is placed in a D3h point group, what is the Mulliken symbol for its dxz orbitals? 4. One application of the Group Theory in chemistry is to predict vibrational modes of a molecule. For example, Mn(CO)5Cl (shown below) only gives one IR band. By answering the following questions, you will be able to understand why this is the case. OC-Mn- СО OC 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.
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). 5. The second application of the Group Theory in chemistry lies in the construction of molecular orbital diagrams. For diatomic molecules, since s or p orbitals from one atom has the same the same symmetry to those the second one, they simply form bonding and antibonding orbitals. For polyatomic molecules, such as NH3, a similar procedure can be used to build MOs except we need to consider 3 F atoms as a group. Let's try to build a MO diagram for NH3 using the following coordination system. 31(0)
Transcribed Image Text: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). 5. The second application of the Group Theory in chemistry lies in the construction of molecular orbital diagrams. For diatomic molecules, since s or p orbitals from one atom has the same the same symmetry to those the second one, they simply form bonding and antibonding orbitals. For polyatomic molecules, such as NH3, a similar procedure can be used to build MOs except we need to consider 3 F atoms as a group. Let's try to build a MO diagram for NH3 using the following coordination system. 31(0)
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