Chapter 10, Problem 10B.5P

Interpretation Introduction

Interpretation:

The representatives of the operations of the group $D_{2h}$ in a basis of the four $\text{H1s}$ orbital of ethene have to be predicted.

Concept introduction:

A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement.  The group of symmetry operations of which at least one point is kept fixed is called point group.  The symmetry operations can be identity, rotation, reflection, inversion and improper rotation.