Group Theory 2

Representations, Character Tables and Vibrational Analysis

Assignment 3:

Watch the lecture videos below.

Representations and and Character Tables

    Chemistry 107 Lecture 03 

                    and

Character Tables and One Application of Symmetry

    Chemistry 107 Lecture 04

• Explanation: Reviewed point group assignments, properties of mathematical groups, transform matrices, and representations of groups.

• Video 1: YouTube video: https://www.youtube.com/watch?v=B0DFcG_SgGo&index=4&list=PLqOZ6FD_RQ7kGnKLTbdwZ3IGVNXK43k7S, 49 minutes.

• Explanation: Irreducible representations, aspects of character tables, analysis of ammonia (C3v), and chirality. 

• Video 2: YouTube video: https://www.youtube.com/watch?v=O_KhEpXe6uE&list=PLqOZ6FD_RQ7kGnKLTbdwZ3IGVNXK43k7S&index=5, 49 minutes

• pdf Supporting Materials: Chemistry 107 lecture supplements:  Representations, Character Tables, and One Application of Symmetry  (4_Ch4_Character Tables.pdf).

Test your understanding:

Reducible Representations Sigma Hybrids Quiz - "SeF4" (pdf)

Reducible Representations Sigma Hybrids Quiz Solution - "SeF4_soln" (pdf)

Reducible Representations Hybrids Quiz - "carbonate" (pdf)

Reducible Representations Hybrids Quiz Solution - "carbonate_soln" (pdf)

Assignment 4:

Watch the lecture video below.

Vibrational Analysis

    Chemistry 107 Lecture 05

• • Explanation: Subjects presented are: IR and Raman vibrational spectroscopy, degrees of freedom, generation of reducible representation and reduction to irreducible representations. Vibrational analysis performed on N2O4 with visualization of the vibrations and an analysis of mer- and face-MCl3(CO)3.

• Video: YouTube video: https://www.youtube.com/watch?v=zgqlLx1kWns&index=6&list=PLqOZ6FD_RQ7kGnKLTbdwZ3IGVNXK43k7S, 47 minutes.

• pdf Supporting Materials: Chemistry 107 lecture supplements:  Vibrational Analysis  (5_Ch4_Vibrational Analysis.pdf).

Test your understanding:

Vibrational Analysis Quiz - "VibrationalAnalysis_CH2O"  (pdf)

Vibrational Analysis Quiz Solutions - "VibrationalAnalysis_CH2O_soln" (pdf)

Vibrational Analysis Quiz - "VibrationalAnalysis_PtCl4"  (pdf)

Vibrational Analysis Quiz Solutions - "VibrationalAnalysis_PtCl4_soln" (pdf)

Vibrational Analysis Quiz - "VibrationalAnalysis_MCO5"  (pdf)

Vibrational Analysis Quiz Solutions - "VibrationalAnalysis_MCO5_soln" (pdf)