Chapter 9.6, Problem 1CP

Interpretation Introduction

Interpretation: The bond order and the magnetic properties of ${\text{N}}_{\text{2}}{}^{2+}$ ion are to be determined.

Concept introduction:

The combination of two atomic orbitals leads to the formation of a bonding and an antibonding molecular orbital. Orbitals that lie on internuclear axis combine to form sigma, $\sigma$, molecular orbital, and orbitals parallel to each other combine to form $\pi$

molecular orbitals.

The molecular orbital formed by the combination of $\text{1s}$ orbital forms bonding molecular orbital designated as ${\sigma }_{1s}$ and antibonding molecular orbital as ${\sigma }^{\ast }{}_{1s}$. The $\text{2s}$ orbital forms corresponding molecular orbitals.

Bond order is determined by subtracting the number of antibonding electrons from the number of bonding electrons and dividing the obtained number by two.

Bond order $=\left({\text{N}}_{\text{b}}-{\text{N}}_{\text{a}}\right)/\text{2},{\text{ where N}}_{\text{b}}$ is the number of bonding electrons and ${\text{N}}_{\text{a}}$ is the number of antibonding electrons.