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Homologation — carbene chemistry

Arndt-Eistert homologation

How the Arndt-Eistert homologation works, in 3 steps. Each step shows the structures and the curved arrows that move the electrons.

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In short. A 3-step mechanism. Typical reagents: SOCl₂; CH₂N₂ (2 equiv.); Ag₂O (or hν / Δ), H₂O. Conditions: Et₂O 0 °C, then H₂O / dioxane 50–70 °C. Bonds formed: α-diazoketone; ketene; R–CH₂–COOH; bonds broken: C–Cl; N₂ (gas). Stereochemistry: Wolff shift retains configuration at the migrating carbon. Rate and selectivity: Ag(I) catalyses N₂ loss; second CH₂N₂ scavenges HCl.

At a glance

ReagentsSOCl₂; CH₂N₂ (2 equiv.); Ag₂O (or hν / Δ), H₂O
Solvent / conditionsEt₂O 0 °C, then H₂O / dioxane 50–70 °C
Bonds formedα-diazoketone; ketene; R–CH₂–COOH
Bonds brokenC–Cl; N₂ (gas)
StereochemistryWolff shift retains configuration at the migrating carbon
Rate / selectivityAg(I) catalyses N₂ loss; second CH₂N₂ scavenges HCl

Step 1: Diazomethane acylation

+−HClROClNNRONN1 · DIAZOMETHANE ACYLATIONacid chlorideELECTROPHILEdiazomethaneCH₂N₂NUCLEOPHILEα-diazoketoneINTERMEDIATEattackChloride is expelled; a second equivalent of CH₂N₂ takes up HCl.

An acid chloride reacts with diazomethane; the diazomethane carbon attacks the electrophilic carbonyl, and loss of chloride and N₂ generates an α-diazoketone.

Step 2: Wolff rearrangement

Ag₂O, Δ−N₂1,2-R shiftRONNROCHRO2 · WOLFF REARRANGEMENTα-diazoketoneINTERMEDIATEsilver carbenoid(acyl carbene)CARBENEketeneINTERMEDIATER moves to the carbene carbon with retention; the C=O carbon becomes the ketene sp carbon.

Silver catalysis (Ag₂O) triggers loss of N₂ from the diazoketone to form a reactive carbene, which immediately undergoes a 1,2-shift — the Wolff rearrangement — where the R group migrates to the carbene carbon, forming a ketene.

Step 3: Water adds to the ketene

+ROOH₂ROOH3 · WATER ADDS TO THE KETENEketeneELECTROPHILEwaterH₂ONUCLEOPHILEhomologated acid(R–CH₂–COOH)PRODUCTattackNet: R–COOH becomes R–CH₂–COOH, one carbon longer.

Water adds across the ketene's strained C=C=O, giving a carboxylic acid with one more carbon than the starting acid chloride — a reliable one-carbon homologation.

Abbreviations and terms

R
R group. Any carbon substituent (alkyl, aryl…) whose identity does not matter for the mechanism.
Et2O
Diethyl ether. Low-boiling ether solvent, classic for Grignard reagents.
H2
Hydrogen gas. Reductant for catalytic hydrogenation.
SOCl2
Thionyl chloride. Converts acids/alcohols to chlorides; byproducts SO₂ and HCl leave as gases.
HCl
Hydrochloric acid / hydrogen chloride. Strong acid; chloride is the nucleophile in additions/substitutions.
Δ
Heat. Reaction is run at elevated temperature.
hν
Light. Photochemical activation.

How it compares with related reactions

Arndt-Eistert homologationAldol condensationBamford-Stevens reaction
ReagentsSOCl₂; CH₂N₂ (2 equiv.); Ag₂O (or hν / Δ), H₂ONaOH or KOH (cat.)Tosylhydrazone, strong base (NaOMe, NaH, or NaOEt)
ConditionsEt₂O 0 °C, then H₂O / dioxane 50–70 °CH₂O/EtOH, heat 50–100 °CAprotic solvent (diglyme, toluene), 100–200 °C
StereochemistryWolff shift retains configuration at the migrating carbonMostly E-enal (thermodynamic)Mixture of E/Z; thermodynamic (more substituted) alkene favoured
Rate / selectivityAg(I) catalyses N₂ loss; second CH₂N₂ scavenges HClE1cB; loss of HO⁻ from the enolate is rate-determiningDiazo decomposition to carbene is rate-limiting

Test yourself

Try to answer each question before opening it.

Which reagents and conditions are typical for the Arndt-Eistert homologation?

SOCl₂; CH₂N₂ (2 equiv.); Ag₂O (or hν / Δ), H₂O. Conditions: Et₂O 0 °C, then H₂O / dioxane 50–70 °C.

Which bonds are formed and which are broken?

Formed: α-diazoketone; ketene; R–CH₂–COOH. Broken: C–Cl; N₂ (gas).

What is the stereochemical outcome?

Wolff shift retains configuration at the migrating carbon

What controls the rate or the selectivity?

Ag(I) catalyses N₂ loss; second CH₂N₂ scavenges HCl

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