Concept:
According to Molecular Orbital (MO) theory:
• Bond order = (Bonding electrons − Antibonding electrons) / 2
• Higher bond order ⇒ greater stability
• Presence of unpaired electrons ⇒ paramagnetic
• Absence of unpaired electrons ⇒ diamagnetic
Molecular orbital considerations:
(i) O2
Bond order = 2
Two unpaired electrons present in π* orbitals.
Magnetic nature: Paramagnetic
Stability: Moderate
(ii) O2+
One electron is removed from antibonding π* orbital.
Bond order = 2.5
One unpaired electron present.
Magnetic nature: Paramagnetic
Stability: Highest (maximum bond order)
(iii) O2− (Superoxide)
One electron is added to antibonding π* orbital.
Bond order = 1.5
One unpaired electron present.
Magnetic nature: Paramagnetic
Stability: Less than O2
(iv) O22− (Peroxide)
Two electrons are added to antibonding π* orbitals.
Bond order = 1
All electrons are paired.
Magnetic nature: Diamagnetic
Stability: Least stable
Comparative Summary:
| Species | Bond Order | Stability | Magnetic Nature |
|---|---|---|---|
| O2+ | 2.5 | Highest | Paramagnetic |
| O2 | 2 | High | Paramagnetic |
| O2− | 1.5 | Lower | Paramagnetic |
| O22− | 1 | Lowest | Diamagnetic |
Final Order of Stability:
O2+ > O2 > O2− > O22−
The correct increasing order for bond angles among \( \text{BF}_3, \, \text{PF}_3, \, \text{and} \, \text{CF}_3 \) is: