E1 vs E2 Elimination: Mechanisms Compared Simply
Elimination removes a small molecule (usually HX or H2O) and creates a double bond. E1 is a two-step process through a carbocation; E2 is a single concerted step. The choice decides the rate law, the stereochemistry, and whether rearrangements occur.
E1 loves stable carbocations, weak bases, and polar protic solvents; E2 loves strong bases and anti-periplanar geometry. Wrong conditions give substitution instead of elimination, or the wrong alkene.
Key Concepts
- E1 mechanism: the leaving group leaves first, forming a carbocation (slow step); then a weak base removes a beta hydrogen (fast). Rate depends only on the substrate.
- E2 mechanism: a strong base removes a beta hydrogen as the leaving group departs, in one concerted step. No carbocation forms, so no rearrangement is possible.
- Rate laws: E1 is first order, rate = k[RX]; E2 is second order, rate = k[RX][base]. Concentrations are in mol/L; k has units s-1 for E1 and L·mol-1·s-1 for E2.
- Saytzeff vs Hofmann: both usually give the more substituted alkene, but a bulky base like tert-butoxide gives the less substituted Hofmann product instead.
- Carbocation rearrangements: only E1 can rearrange — a hydride or methyl shift can move the positive charge to a more stable carbon before the base acts, changing the product skeleton.
- Stereochemistry: E2 requires the departing H and X to be anti-periplanar (180° apart, opposite sides), so the geometry of the starting material controls which alkene stereoisomer forms.
Formulas
- E1 rate law: rate = k[(CH3)3CBr]. Doubling the alkyl halide concentration doubles the rate; changing the base concentration does nothing to the rate.
- E2 rate law: rate = k[CH3CH2Br][OH-]. Doubling either the substrate or the base doubles the rate; doubling both quadruples it.
- E2 example: CH3CH2CHBrCH3 + KOH(alc) → CH3CH=CHCH3 (major, Saytzeff) + CH2=CHCH2CH3 (minor) + KBr + H2O.
Worked Example
A reaction can follow E1 or E2. The substrate concentration is doubled and the base concentration is tripled. By what factor does the rate increase under each mechanism?
- E1 rate law: rate = k[RX]. Only [RX] matters.
- Doubling [RX] multiplies the E1 rate by 2. Tripling the base has no effect on an E1 rate.
- So under E1, the rate becomes 2 times the original.
- E2 rate law: rate = k[RX][base]. Both concentrations matter.
- Doubling [RX] gives a factor of 2, tripling [base] gives a factor of 3; combined factor = 2 × 3 = 6.
- So under E2, the rate becomes 6 times the original. This 2-versus-6 difference is exactly how kinetic experiments distinguish the two mechanisms in the laboratory.
Common Misconceptions
- E1 is called "1" because it has one step. Wrong — the name counts the molecularity of the rate-determining step (unimolecular: only the substrate). E1 actually has two steps; E2 has one step but is bimolecular.
- A strong base always gives the Saytzeff product. Wrong. A bulky strong base like (CH3)3CO- cannot reach hindered hydrogens and gives the Hofmann (less substituted) alkene instead.
- Rearrangements happen in E2. Wrong. Rearrangement needs a real carbocation with a lifetime long enough for a hydride shift — only E1 provides one.
Real-World Applications
- Alkene manufacture: industrial dehydration of alcohols to alkenes (E1-like, acid-catalyzed) produces millions of tonnes of ethene and propene feedstocks.
- Pharmaceutical synthesis: E2 eliminations install double bonds with precise stereochemistry in drug molecules, where the anti-periplanar requirement is used deliberately.
E1 goes through a carbocation, is first order, and can rearrange; E2 is concerted, second order, and needs anti-periplanar geometry. The 2× versus 6× rate test settles which mechanism is operating.
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