2019 PP III.6 (inverse)
Definition
DU = total number of multiple bonds + rings = (2C + 2 + N − H − X)/2.
(a) C₇H₁₄
Saturated ref = C₇H₁₆; short 2 H → DU = 1. Could be: 1-heptene (one C=C) or methylcyclohexane (one ring).
(b) C₈H₈
Saturated ref = C₈H₁₈; short 10 H → DU = 5. Consistent with benzene ring (4) + one extra C=C — e.g. styrene (C₆H₅CH=CH₂).
(c) C₆H₁₀
Saturated ref = C₆H₁₄; short 4 H → DU = 2. Could be hex-1-yne (one triple), 1,3-hexadiene (two C=C), or cyclohexene (1 ring + 1 C=C).
Empirical rule
When H-X adds to an unsymmetric alkene, the H attaches to the C of the C=C that already bears the most H's; the X ends up on the more substituted C.
Mechanism with propene + HCl
- The alkene π electrons attack H⁺, removing one alkene C from sp² to sp³ and leaving a carbocation on the other alkene C.
- Two cations are possible: 2° isopropyl (CH₃CH⁺CH₃) if H lands on C1, or 1° n-propyl (CH₃CH₂CH⁺₂) if H lands on C2.
- The 2° cation is more stable (hyperconjugation, 3°>2°>1°>Me) → lower TS energy → that pathway wins.
- Cl⁻ attacks the 2° cation → 2-chloropropane.
Modern statement
HX adds so as to generate the more stable carbocation intermediate. This subsumes the empirical rule and explains exceptions (e.g. CF₃CH=CH₂ gives anti-Markovnikov because the trifluoromethyl destabilises the would-be 2° cation).
Peroxide effect (HBr only)
HBr + ROOR follows a radical chain instead of cationic addition. The peroxide initiates Br·; Br· adds to the less substituted C of the alkene (giving the more stable 2° radical at the more substituted C), then this radical abstracts H from H-Br. Net: H ends up on the more substituted C, Br on the less substituted → anti-Markovnikov. Only HBr shows this; HCl and HI do not (their bond energies don't fit the chain energetics).
The rule
Each alkene sp² C becomes C=O. If that C had an H, it becomes an aldehyde; if it had two C-substituents, it becomes a ketone. Reductive work-up gives carbonyls (not acids).
(a) 2-methyl-2-butene CH₃C(CH₃)=CHCH₃
Left C has 2 methyls → acetone (CH₃)₂C=O. Right C has H + Me → acetaldehyde CH₃CHO.
(b) Cyclohexene
Ring opens at C=C. Both sp² C's bore one H + one CH₂ chain → one molecule of hexanedial (OHC–(CH₂)₄–CHO).
(c) 1,3-Butadiene CH₂=CH–CH=CH₂
Both double bonds cleave: terminal CH₂ sites → HCHO. Middle CH=CH sites → one molecule of glyoxal (OHC–CHO). Net: 2 HCHO + 1 OHC-CHO.
Halogenation
Reagent: Br₂ / FeBr₃ (or Cl₂ / FeCl₃). Electrophile: Br⁺ (or Cl⁺). Product: bromobenzene (or chlorobenzene) + HX.
Nitration
Reagent: conc. HNO₃ + conc. H₂SO₄. Electrophile: NO₂⁺ (nitronium). Product: nitrobenzene + H₂O.
Sulfonation
Reagent: fuming H₂SO₄ (H₂SO₄ + SO₃). Electrophile: SO₃H⁺ (or SO₃). Product: benzenesulfonic acid.
Friedel-Crafts alkylation
Reagent: R-Cl / AlCl₃. Electrophile: R⁺ (alkyl cation, prone to rearrangement). Product: alkylbenzene + HCl.
Friedel-Crafts acylation
Reagent: R-COCl / AlCl₃. Electrophile: R-C≡O⁺ (acylium ion). Product: aryl ketone Ar-CO-R + HCl. Doesn't rearrange (acylium is resonance-stabilised) so it's the cleaner version when you want an alkyl chain on the ring.
Step 1 — Br₂ / CCl₄
2-Methylbutane is a saturated alkane → no decolourisation. The other two contain C=C or C≡C → red-brown Br₂ decolourises rapidly. This separates the alkane from the alkene/alkyne.
Step 2 — [Ag(NH₃)₂]NO₃ (Tollens-like, on the remaining two)
3-Methyl-1-butyne is a terminal alkyne with acidic ≡C-H → white silver acetylide precipitate. 3-Methyl-1-butene has no acidic H → no precipitate.
Summary table
- 2-methylbutane → Br₂ (−), Ag⁺ (−)
- 3-methyl-1-butene → Br₂ (+), Ag⁺ (−)
- 3-methyl-1-butyne → Br₂ (+), Ag⁺ (+)