Chapter 10, Problem 10B.4BE

Interpretation Introduction

Interpretation:

Whether the irreducible representation $\text{E'}$ is orthogonal to the irreducible representations ${\text{A}}_{\text{1}}^{\text{'}},{\text{A}}_{\text{2}}^{\text{'}}$ and $\text{E"}$ for the point group $D_{\text{3h}}$ has to be confirmed.

Concept introduction:

The systematic discussion of symmetry is known as group theory.  The table showing all the characters of the operations of a group are known as character tables.  The character of an operation in a particular matrix is the sum of the diagonal elements of the representative of that operation.