Chapter 11, Problem 11.33P

(a)

Interpretation Introduction

Interpretation:

The orbital designations for the given molecular orbitals are to be determined.

Concept introduction:

The molecular orbital is a mathematical function that describes the wave-like behaviour of an electron in a molecule. The linear combination of atomic orbitals or LCAO is a technique to calculate the number of molecular orbitals that are formed by the combination of atomic orbitals. According to this assumption, $n$ atomic orbitals combine to form $n$ molecular orbitals.

(b)

Interpretation Introduction

Interpretation:

The molecular orbital that is highest in energy is to be determined.

Concept introduction:

The molecular orbital is a mathematical function that describes the wave-like behaviour of an electron in a molecule. The linear combination of atomic orbitals or LCAO is a technique to calculate the number of molecular orbitals that are formed by the combination of atomic orbitals. According to this assumption, $n$ atomic orbitals combine to form $n$ molecular orbitals.

(c)

Interpretation Introduction

Interpretation:

The molecular orbital with the lowest energy is to be determined.

Concept introduction:

The molecular orbital is a mathematical function that describes the wave-like behaviour of an electron in a molecule. The linear combination of atomic orbitals or LCAO is a technique to calculate the number of molecular orbitals that are formed by the combination of atomic orbitals. According to this assumption, $n$ atomic orbitals combine to form $n$ molecular orbitals.

(d)

Interpretation Introduction

Interpretation:

The molecular orbitals are to be ranked in the order of increasing energy for ${\text{B}}_2$.

Concept introduction:

A molecular orbital diagram is a tool that is used to describe the chemical bonding formed between different molecules. It is used to predict the bond strength and the electronic transitions that a molecule can undergo.

The molecular orbital is a mathematical function that describes the wave-like behaviour of an electron in a molecule. The linear combination of atomic orbitals or LCAO is a technique to calculate the number of molecular orbitals that are formed by the combination of atomic orbitals. According to this assumption, $n$ atomic orbitals combine to form $n$ molecular orbitals.