Constructing Character Tables 3: Linear and Rotational Vectors

This is the third of four videos describing the process used to construct character tables using the C3v point group as an example. In this video we will determine how the linear (x, y, and z) and rotational (Rx, Ry, and Rz) vectors transform by generating reducible representations of these vectors and reducing them. A systematic method for the decomposition of reducible representations into irreducible representations will be presented. For information on how to generate irreducible representations of a group please see video 2 of this series:    • Constructing Character Tables 2: Generatin...