2.7 Methods of Studying Reaction Mechanisms: Isotopes, Crossover, Trapping, Kinetic Isotope Effect
★★★ 2021–2025: 15 parts, 100 marks (Civil Services 6 parts, 50 marks; IFoS 9 parts, 50 marks). Asked every year: a kH/kD value to interpret, a labelling or crossover design, or kinetic against thermodynamic enolates.
Syllabus lines. Civil Services P-II: “General methods (both kinetic and non-kinetic) of study of mechanism of organic reactions: isotopic method, cross-over experiment, intermediate trapping, stereochemistry; energy of activation; thermodynamic control and kinetic control of reactions.” IFoS P-II: the same, “illustrated by examples”, with “energy diagrams of simple organic reactions: transition states and intermediates”. Rearrangement mechanisms: 2.6; pericyclic (Claisen): 8.1; carbanions: 2.3.
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CSE 2024 Q7(a) = asked there; tap to open the solved answerSN = line kept in the short notes
2.7.1 Kinetic and non-kinetic methods ★★
A mechanism is a hypothesis; each method below can disprove a proposed path, none proves one. A good answer names the method, the experiment, the observation and what it rules out.SN
| Method | The experiment | What it tells |
|---|---|---|
| Products, by-products | identify all products and their ratio | which bonds broke; any mechanism must give them all |
| Isotopic labelling | ²H, ¹³C, ¹⁴C, ¹⁸O at one position; find it in the product (MS, NMR, counting) | which bond breaks; where an atom goes |
| Crossover | two differently labelled substrates react together | intra- vs intermolecular |
| Intermediates | isolate, detect (NMR, ESR, UV) or trap | stepwise path and its species |
| Stereochemistry | chiral or geometrically defined substrate | inversion, retention, syn or anti, racemisation |
| Kinetics (rate law, Ea, ΔS‡) | vary concentrations, temperature | molecularity of the slow step |
| Kinetic isotope effect | compare kH and kD | is the C–H bond broken in the slow step? |
2.7.2 Isotopic labelling ★★★
- Which C–O bond breaks in ester hydrolysis? Ethyl propanoate labelled in the alkoxy oxygen, EtCO–¹⁸OEt, with OH⁻ gives EtCOO⁻ (no label) and Et¹⁸OH: acyl–oxygen fission (BAc2), not alkyl–oxygen.SN
- Is the tetrahedral species a true intermediate? Label the carbonyl oxygen, stop the reaction half-way and recover the unreacted ester: it has lost ¹⁸O. Only an intermediate that lives long enough for a proton shift (making its two oxygens equivalent) and that can revert to ester explains this; a single transition state cannot IFoS 2023 Q1(b) 5m.SN
- R–COO⁻ + Br–CN → R–CN + Br⁻ + CO₂: use R–¹⁴COO⁻. The nitrile is radioactive and the CO₂ is not: the nitrile carbon is the old carboxyl carbon; only N comes from BrCN, whose carbon leaves as CO₂. Path: acyl cyanate → acyl isocyanate → four-membered ring → R–C≡N + CO₂ (the reverse test, Br¹⁴CN, gives ¹⁴CO₂) CSE 2021 Q1(a) 10m IFoS 2022 Q1(c) 5m.SN
- Benzyne (Roberts): chlorobenzene with ¹⁴C at C-1 and KNH₂ gives aniline with the NH₂ half on the labelled carbon and half on its neighbour. Direct displacement would put it only on C-1; a symmetrical intermediate with two equivalent ends, benzyne, explains 50 : 50 (Fig. 2.7.3).SN
2.7.3 Crossover experiments ★★★ 15 marks in 2024
- Design: run two substrates that differ in both parts that may separate (double labelling, isotopic or by a substituent), in one flask under the same conditions. Only the two “own” products → intramolecular. Crossed products (statistically, about as much as the own ones) → the pieces separate and recombine: intermolecular.SN
- Claisen rearrangement: heat allyl p-tolyl ether with 2-methylallyl phenyl ether: only 2-allyl-4-methylphenol and 2-(2-methylallyl)phenol form; no 2-allylphenol and no 2-(2-methylallyl)-4-methylphenol. The allyl group never leaves its ring: a concerted [3,3] shift CSE 2024 Q4(b)(i) 10m.SN
- Para-Claisen: with both ortho positions blocked (2,6-dimethylphenyl or 2-methoxy-6-methylphenyl allyl ethers) the first [3,3] shift gives a dienone that cannot tautomerise; a second [3,3] (Cope) carries the chain to the para carbon, then H⁺ shift gives the 4-allylphenol. Heated together, each ether gives only its own para product: still intramolecular. Two inversions of the allyl chain: a crotyl group arrives at para unchanged in connection IFoS 2024 Q2(a)(i) 5m.SN
- Contrast: the Fries rearrangement of aryl esters gives some crossed products (an acylium ion is free in part); the benzidine rearrangement gives none.
2.7.4 Isolating, detecting and trapping intermediates ★★
- Isolate it under milder conditions (N-bromoamide and isocyanate in the Hofmann reaction); detect it in situ: carbocations by ¹³C NMR in superacid (SbF₅–SO₂ClF), radicals by ESR, enols and enolates by UV/IR.SN
- Trap it: add a reagent that reacts with the suspected species faster than anything else and gives a product of known structure. Benzyne + furan → Diels–Alder adduct; carbenes + alkene → cyclopropane (stereospecific for singlet); radicals + TEMPO; carbocations + N₃⁻ or MeOH; enolates + D₂O or Me₃SiCl (the D or SiMe₃ marks the carbon that carried the charge, 2.7.8).SN
- H/D exchange rates report carbanion formation: the α-H of a cyclopropyl ketone exchanges ≈ 6 × 10³ times faster than that of a cyclopropenyl ketone; the cyclopropenyl anion would place 4 π electrons in a planar three-membered ring, antiaromatic, so that carbanion forms slowly IFoS 2021 Q3(a)(i) 5m.SN
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