Indian Forest Service (Mains), Chemistry optional · 2021 · Paper II
Q1(h). Hyperfine lines of an isotopic radical
Question
How many ESR lines are possible for the radical ¹³CF₂H?
Answer in brief
Twelve lines are expected if the two fluorines are equivalent and all distinct splittings are resolved without accidental overlap.
Key points
- ¹³C has I = ½ and gives a doublet; two equivalent ¹⁹F nuclei, each I = ½, give a 1:2:1 triplet.
- The proton has I = ½ and splits each component into a doublet.
- Thus N = (2IC + 1)(2nF IF + 1)(2IH + 1) = 2 × 3 × 2 = 12.
- Nuclear equivalence, linewidth and accidental coincidence determine how many lines are actually resolved.
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.

CoversESR spectroscopyhyperfine splittingnumber of ESR lines2nI + 1 rule¹³C and ¹⁹F coupling
All parts of Question 1
- 1(a) Aromaticity classifications5 marks
- 1(b) Photochemical hydrogen migration in a diene5 marks
- 1(c) Isotope-labelled acetate pyrolysis5 marks
- 1(d) Kinetic enolate aldol sequence5 marks
- 1(e) Natural rubber and polyethylene5 marks
- 1(f) Phenol to a reduced aryl ether5 marks
- 1(g) Photochemical cleavage and alkene isomerization5 marks
- 1(h) Hyperfine lines of an isotopic radical5 marks