Organic Chemistry · Part 7 of 9 · Free

Carbonyl & Acyl Mechanisms — formula sheet

Every key expression and definition from Reaction Mechanisms, Part 7, on one page. Free to read, no sign-in.

Key expressions

the hydration equilibrium constant
K_hyd = [R₂C(OH)₂] / [R₂C=O] (water in large excess, so [H₂O] is absorbed into the constant)
the thermodynamics behind any hydration constant
ΔG° = ΔH° − TΔS° and ΔG° = −RT ln K_hyd
the Taft equation for aliphatic reactivity
log(k / k₀) = ρ*σ* + δE_s
acetal formation — note that water is a product, so removing it drives the reaction forward
R₂C=O + 2 R′OH ⇌ R₂C(OR′)₂ + H₂O (H⁺ catalysis, fully reversible)
condensation of a carbonyl compound with a primary amine
R₂C=O + H₂NR′ ⇌ R₂C=NR′ + H₂O
the steady-state rate law for imine/oxime formation
rate = k₁[C=O][RNH₂] × k₂[H⁺] / (k₋₁ + k₂[H⁺])
the rate law for acid-catalysed α-halogenation
rate = k[ketone][H⁺] (zero order in halogen)

Definitions worth memorising

Nucleophilic addition: a nucleophile bonds to the carbonyl carbon, the π electrons move onto oxygen, and the carbon changes from trigonal sp² to tetrahedral sp³. The product is an alkoxide (from an anionic nucleophile) or, after proton transfer, an alcohol.
The structure-correlation principle: a set of static structures scattered along a deformation coordinate maps out the reaction path for that deformation. Nature samples the low-energy valley; a family of crystal structures is a series of snapshots along its floor.
Hemiacetal: R₂C(OH)(OR′) — one hydroxyl, one alkoxyl on the same carbon. Formed reversibly under acid or base catalysis.Acetal: R₂C(OR′)₂ — two alkoxyls, no hydroxyl. Formed only under acid catalysis.
Specific acid catalysis: rate = k[S][H₃O⁺]. Protonation is a fast pre-equilibrium; only the hydronium concentration matters.General acid catalysis: rate = Σk_HA[S][HA] over every acid in solution. The proton is in flight in the rate-determining transition state, so each acid contributes according to its own strength (the Brønsted relation).
The one-way rule: you can convert any acid derivative into one lower on the ladder directly, but never into one higher. Acid chloride → ester → amide is straightforward; amide → ester requires going back through the acid, and acid → acid chloride requires a special reagent (SOCl₂, oxalyl chloride, PCl₅) that works by a different mechanism.
Nucleophilic catalysis: the catalyst forms a covalent bond to the substrate, creating a more reactive intermediate, and is released afterwards. Contrast general base catalysis, where the catalyst merely removes a proton in the transition state and never bonds to the substrate. Distinguishing the two is a standard physical-organic exercise; the classic test is whether the reaction is accelerated by a catalyst that is nucleophilic but not especially basic.
Tautomers: constitutional isomers that interconvert rapidly by the movement of a proton (and the associated π bonds). They are different molecules with different atomic positions, different energies, different spectra, and an equilibrium constant between them.Resonance forms: different drawings of one molecule, differing only in where electrons are shown. No atom moves; there is no equilibrium.
The idea: an enol or enolate (nucleophile, from G.7) adds to a carbonyl carbon (electrophile, from G.1) to give a tetrahedral alkoxide. What happens next is the G.4 question: is there a leaving group on that carbon?— No (the electrophile was an aldehyde or ketone) → the alkoxide is protonated. Product: a β-hydroxy carbonyl. This is the aldol.— Yes (the electrophile was an ester) → the alkoxide collapses, expelling R′O⁻. Product: a β-keto ester or 1,3-diketone. This is the Claisen.

Where these come from

This sheet is distilled from Reaction Mechanisms, Part 7 — 9 sections that derive every one of these results and show you how to use them.

Read Part 7 All formula sheets