Chapter 13, Problem 13.52E

Interpretation Introduction

Interpretation:

The reason corresponding to the statement the characters for the proper and improper rotations are mathematical expressions instead of numbers for $C_{\infty \text{v}}$ and $D_{\infty \text{h}}$ is to be stated.

Concept introduction:

The group of symmetry operations of which atleast one point is kept fixed is called point group. The symmetry operations can be identity, rotation, reflection, inversion and improper rotation.