Answer:
The He₂ 2+ ion is more stable since it has a higher bond order (bond order = 1) than the He₂ + ion (bond order = 1/2).
Explanation:
Molecular orbital of He₂⁺
[tex]1\sigma_{1s}^21\sigma(star)_{1s}^1[/tex]
There are two electrons in bonding and 1 electron in antibonding orbital
Bond order = [tex]\frac{(2-1)}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
Molecular orbital of He₂⁺²
[tex]1\sigma_{1s}^21\sigma(star)_{1s}^0[/tex]
There are two electrons in bonding and 0 electron in antibonding orbital
Bond order = [tex]\frac{(2-0)}{2}[/tex]
= 1
So bond order of He₂⁺² is 1 which is more stable than He₂⁺ whose bond order is [tex]\frac{1}{2}[/tex] .