Chapter 5.4, Problem 5.9E

Interpretation Introduction

Interpretation: The results of linear combination of ${\text{A}}_{\text{1}}$ and ${\text{A}}_2$ obtained by choosing hydrogen 1s orbital ${\text{H}}_{\text{b}}$ as the basis are identical to those which are obtained for hydrogen 1s orbital ${\text{H}}_{\text{a}}$ as the basis needs to be determined. Also, the contribution of $\text{E}$ is same for ${\text{H}}_{\text{b}}$ as the basis.

Concept introduction: Linear combinations of basis sets that are composed of stretching vectors of the molecule is said to be SALCs (Symmetry Adapted Linear Combinations), used to determine symmetries and binding schemes.

A systematic way to find out the method of combination of atomic orbitals to give correct group orbitals (SALCs) is projection operator method.