Group Theory 1

Symmetry Operations and Point Groups

Assignment 1: 

Watch the Introduction to Symmetry Operations lecture video below.

Introduction to Symmetry Operations 

Chemistry 107 Lecture 01

• Explanation: An introduction to symmetry elements and operations in group theory; proper rotation (Cn), planes of symmetry (sigma), inversion (i), and improper rotation (Sn).

• Video: YouTube Video: URL: https://youtu.be/OUj4j6td1es?list=PLqOZ6FD_RQ7kGnKLTbdwZ3IGVNXK43k7S, 33 minutes.

• pdf Supporting Materials: Chemistry 107 lecture supplements: Introduction to Symmetry Operations (1_Ch4_Symmetry Operations.pdf).

Test your understanding:

Introduction to Symmetry Quiz - "XeF4" (pdf)

Introduction to Symmetry Quiz Solutions - "XeF4_soln" (pdf)

GrpTheorySymmOperations Quiz - "SiCl4" (pdf) 

GrpTheorySymmOperations Quiz Solutions - "SiCl4_soln" (pdf)

GrpTheorySymmOperations Quiz - "C6H6" (pdf)

GrpTheorySymmOperations Quiz Solutions - "C6H6_soln" (pdf)

Worksheet:

• Symmetry and Point Groups (pdf) (solutions)

Assignment 2:

Watch the next lecture video, Symmetry and Point Groups.

Symmetry and Point Groups

Chemistry 107 Lecture 02 

• Explanation: Instructions on how to assign molecules to their point group symmetry groups (Schonflies symbols)

• Video: YouTube video: https://www.youtube.com/watch?v=hlL0LIKfVvw&index=2&list=PLqOZ6FD_RQ7kGnKLTbdwZ3IGVNXK43k7S, 50 minutes.

• pdf Supporting Materials: Chemistry 107 lecture supplements:  Point Group Assignments (2_Ch4_Symmetry Operations.pdf). Staggered ethane; high, low, D, C, and S symmetry groups, and decision tree for assigning Schonflies symbols.

• pdf Supporting Materials: Chemistry 107 lecture supplements:  More Point Group Assignments (3_Ch4_more Point Groups.pdf). PF5, diborane, 18-crown-6, a baseball and atomic orbitals symmetry assignments and properties of mathematical groups.

Test your understanding.