Chapter 9, Problem 9D.1P

(a)

Interpretation Introduction

Interpretation:

The validation corresponding to the fact that in case of neglected overlap, if a molecular orbital is expressed like a linear combination of two orbitals in the form $\psi ={\psi }_{\text{A}}\cos \theta +{\psi }_{\text{n}}\sin \theta$ then $\psi$ is normalized to $1$ has to be stated.

Concept introduction:

The wavefunction represents the exact position of the electron in an atom.  For a wavefunction to be acceptable, it must be normalized.  The wave function is represented by $\psi$ in the quantum mechanics.

(b)

Interpretation Introduction

Interpretation:

The values of $\theta$ corresponding to the bonding and antibonding orbitals in a homonuclear diatomic molecule have to be stated.

Concept introduction:

The fundamental concept of the valence-bond wavefunction for hydrogen molecule can be applied for the diatomic and polyatomic molecules.  Molecular orbital wavefunction are the linear combination of atomic orbitals.  Antibonding molecular orbitals are formed by the in-phase interactions of two different orbitals and bonding interactions are formed by the out of phase interactions of two different orbitals.