In which of the following molecules 2pz molecular orbital is filled after 2px and 2py molecular orbitals?
N2
— The order of filling of molecular orbitals depends on the total number of electrons in the diatomic molecule.The order of filling of molecular orbitals depends on the total number of electrons in the diatomic molecule. There are two general orders:
Order 1 (for molecules with total electrons ≤ 14, e.g., B₂, C₂, N₂):
σ1s, σ*1s, σ2s, σ*2s, π2pₓ = π2pₑ, σ2pₔ, π*2pₓ = π*2pₑ, σ*2pₔ
Order 2 (for molecules with total electrons > 14, e.g., O₂, F₂, Ne₂):
σ1s, σ*1s, σ2s, σ*2s, σ2pₔ, π2pₓ = π2pₑ, π*2pₓ = π*2pₑ, σ*2pₔ
The question asks for the molecule where the σ2pₔ molecular orbital is filled after the π2pₓ and π2pₑ molecular orbitals. This corresponds to Order 1.
Let's analyze the options:
- A) O₂: Total electrons = 8 + 8 = 16. This follows Order 2, where σ2pₔ is filled before π2pₓ and π2pₑ.
- B) Ne₂: Total electrons = 10 + 10 = 20. This follows Order 2, where σ2pₔ is filled before π2pₓ and π2pₑ.
- C) N₂: Total electrons = 7 + 7 = 14. This follows Order 1, where σ2pₔ is filled after π2pₓ and π2pₑ.
- D) F₂: Total electrons = 9 + 9 = 18. This follows Order 2, where σ2pₔ is filled before π2pₓ and π2pₑ.
Therefore, N₂ is the molecule where σ2pₔ is filled after π2pₓ and π2pₑ.
Correct Answer: (C)
N2