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The free allylic alcohol directs epoxidation of the adjacent alkene rather than the remote double bond. Applying the D-(−)-tartrate mnemonic gives the epoxide oxygen on the back face in the source orientation, with both new C–O bonds dashed if the original six-membered ring is kept in the plane. The CH${}_2$OH substituent at the lower epoxide carbon consequently projects towards the front in an explicit tetrahedral product drawing. The remote double bond is retained. The opposite tartrate would reverse both newly created epoxide stereocentres; it would not alter the location of the epoxidized alkene.

Manganese(III) removes one electron from the enol/enolate of H, and loss of its hydroxyl proton gives a carbon-centred radical at the tether-bearing alpha carbon of the resulting 1,3-dicarbonyl system. The enolic OH becomes the second carbonyl oxygen. This radical attacks the terminal CH${}_2$ of the tethered isopropenyl group, forming a new C–C bond and a six-membered ring. The residual radical is on the substituted carbon bearing methyl, which is more stable than the primary radical from the alternative regiochemical closure.

Dioxygen traps that radical as a peroxyl intermediate. reduction/proton transfer and O–O cleavage in the ensuing oxygenation/workup sequence give the new tertiary alcohol on the methyl-bearing carbon. The drawn net transformation specifies that oxygenated product, not a persistent hydroperoxide; individual electron/proton transfers require the reaction medium and workup and cannot be fixed uniquely from the abbreviated reagent line alone. The rigid cage and folded tether select the closure face and therefore the relative configuration of the new ring junction.

Finally the new hydroxyl oxygen attacks silicon of TBSCl, with imidazole assisting deprotonation and chloride departure, giving the tertiary silyl ether I. The hindered pre-existing hydroxyls remain as shown. Track the two key atom changes: the terminal alkene carbon becomes a methylene in the new ring, and the former substituted alkene carbon acquires oxygen and retains its methyl group. Calling the first step a two-electron aldol reaction would miss both the single-electron oxidant and the role of dioxygen.

Tin tetrachloride coordinates the enone carbonyl, lowering the dienophile pi-star energy. Butadiene reacts in an endo-oriented Diels–Alder cycloaddition: its terminal carbons bond to the enone's two alkene carbons, its central bond becomes the new cyclohexene double bond, and the enone C=C pi electrons become a new sigma bond. All three bond reorganizations occur in a suprafacial six-electron cycle.

Approach from the face opposite the methyl substituent avoids steric crowding and gives the indicated relationship between methyl and the non-enolizable junction hydrogen. The immediate stereospecific cycloaddition gives a cis-fused junction relationship. The junction carbon next to the ketone can subsequently enolize; reprotonation on either face epimerizes this centre without breaking either newly formed C–C bond. This accounts for the mixture at the wavy-bond position while the other junction and methyl relationship remains fixed. The modest 1.5:1 ratio should not be mistaken for failure of suprafaciality in the cycloaddition itself. Later oxime formation removes the ketone's ordinary enolization pathway and furnishes the depicted isolated junction diastereomer.

The secondary hydroxylamine condenses with formaldehyde. nitrogen attacks the carbonyl carbon, giving a carbinolamine; proton transfer and loss of water generate the tethered nitrone $\mathrm{R}-{\mathrm{N}}^{+}({\mathrm{O}}^{-})=\mathrm{C}{\mathrm{H}}_2$, where $R$ is the entire bicyclic substituent attached to nitrogen in D. Molecular sieves remove water, favouring this condensation.

The nitrone undergoes an intramolecular 1,3-dipolar cycloaddition with the retained cyclohexene double bond. To define E precisely, label the former oxime carbon $C_A$, the adjacent upper ring junction $C_B$, the other junction $C_C$, and the alkene carbons $C_D$ and $C_E$ such that the chain from $C_A$ to the more remote alkene terminus is $C_A-C_B-\mathrm{C}{\mathrm{H}}_2-C_D=C_E-\mathrm{C}{\mathrm{H}}_2-C_C$. Let $C_F$ be the new formaldehyde-derived nitrone methylene. The cycloaddition forms $C_F-C_D$ and O–$C_E$, retains N–O and N–$C_A$, and changes N=$C_F$ and $C_D=C_E$ into single bonds. The new five-membered heterocycle is N–$C_F$–$C_D$–$C_E$–O. These connections, together with the original bicycle, specify the bridged isoxazolidine E.

The inwardly tethered cycloaddition is suprafacial at the alkene and preserves the existing carbon stereocentres; the C–C and C–O additions occur on the same accessible alkene face. The pre-existing N-substituent orientation restricts which fold can bring both reacting ends together without crossing the bridge. This is a genuine two-new-bond cycloaddition, not a Mannich reaction followed by unrelated oxygenation.

methyl fluorosulfonate alkylates the tertiary isoxazolidine nitrogen, giving a quaternary N-methyl ammonium salt; the methyl remains attached to nitrogen in F. hydride from lithium aluminium hydride then cleaves the N–O bond, releasing the corresponding oxygen as an aluminium-bound alkoxide while restoring neutral tertiary amine nitrogen. Aqueous workup protonates the alkoxide to give the alcohol.

Thus the C–O bond made in the cycloaddition survives as the alcohol-bearing C–O bond, and the formaldehyde-derived methylene survives as the extra carbon between nitrogen and the carbon framework. The N–O bond is the one removed. N-methylation followed by reductive N–O cleavage gives the bridged amino alcohol F without requiring cleavage of its newly formed C–C bond or hydrogenation of a nonexistent residual alkene.

Concerted oxygen transfer from a peroxycarboxylic acid to an alkene. Hydrogen bonding to a nearby alcohol can influence reaction site and facial selectivity.

A compound with an acidic peroxide group; peroxycarboxylic acids contain $-\mathrm{C}(=\mathrm{O})\mathrm{OOH}$ and can transfer oxygen to an alkene.

Acid-promoted union of a carbonyl-derived oxocarbenium ion with a tethered alkene to form a ring. Cation trapping and the preferred cyclization conformation determine the final substitution and stereochemistry.

Chain growth by successive olefin metathesis steps that open cyclic alkenes. Relief of ring strain can offset the loss of monomer translational entropy.

A syn elimination in which oxidation of an organoselenide permits intramolecular beta-hydrogen removal and C–Se cleavage, producing an alkene.

Enantioselective oxygen transfer to an allylic alcohol using a titanium–tartrate complex and a hydroperoxide. With the alkene horizontal and its hydroxymethyl substituent at lower right, L-(+)-tartrate directs delivery from the back face and D-(−)-tartrate from the front face. Rotate a structure in its plane to apply the mnemonic; reflecting it changes its stereochemistry.

A four-membered metallacycle containing titanium and three carbon atoms. Cycloreversion can exchange an alkene and a titanium alkylidene; other eliminations become available with suitable substituents.

The reactive early-metal alkylidene $\mathrm{C}{\mathrm{p}}_2\mathrm{Ti}=\mathrm{C}{\mathrm{H}}_2$. carbonyl methylenation proceeds through an oxatitanacyclobutane; alkene capture gives a titanacyclobutane. Its oxygen affinity makes ester methylenation feasible.

An anionic organoaluminium compound with a carbon–aluminium bond at an alkene carbon.

The group $\mathrm{C}{\mathrm{H}}_2=\mathrm{CH}-$, attached through an alkene carbon. It differs from an allyl group, whose attachment includes an intervening methylene.

A grignard reagent in which magnesium is attached directly to an alkenyl carbon, $\mathrm{RCH}=\mathrm{CHMgX}$. Addition to a carbonyl compound can form an allylic alcohol while retaining the geometry of the pre-existing alkene.

Zirconium is a group-4 metal; Zr(IV) is formally $d^0$. Its cationic alkyl complexes can catalyze polymerization through alkene migratory insertion.