UPSC Combined Geo-Scientist, Mains · 2016 · Mains Paper I
Q1(b). Bond order and ionisation
Question
How does bond order change in the cases (i) O₂ to O₂⁻ and (ii) N₂ to N₂⁺? Show with MO diagram.
Answer in brief
Both changes lower bond order by 1/2: O₂: 2→1.5; N₂: 3→2.5.
Key points
- Use BO=1/2(Nb-Nₐ). The filled 1s core orbitals cancel and are omitted from the sketch.
- O₂ has eight bonding and four antibonding valence electrons. Adding an electron to π*₂ₚ gives (8-5)/2=1.5.
- N₂ has eight bonding and two antibonding valence electrons. Removal from bonding σ₂ₚ gives (7-2)/2=2.5.
- The σ₂ₚ level lies below π₂ₚ in oxygen but above it in nitrogen. Both ionisations therefore weaken and lengthen the bond.
The full model answer
As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

CoversBond orderionisationMolecular orbital theory
All parts of Question 1
- 1(a) Occurrence of lithium5 marks
- 1(b) Bond order and ionisation5 marks
- 1(c) Solvent levelling5 marks
- 1(d) Disproportionation and its reverse5 marks
- 1(e) Interpreting the redox data5 marks
- 1(f) Existence of hydrogen and helium dimers5 marks
- 1(g) Packing fraction5 marks
- 1(h) Square-planar geometrical isomers5 marks
- 1(i) Ground term and angular momenta5 marks
- 1(j) Effective atomic number5 marks