Past exam of the chemistry B course of the University of Cambridge / 2025 / Paper 2 / B10

Use C1 for the carbonyl carbon, C2 for the adjacent carbon, and C3 for the beta carbon of the reactive enone fragment $\mathrm{R}-C1(=\mathrm{O})-C2H=C3H-{\mathrm{R}}^{\prime }$. water adds conjugately at C3, giving a beta-hydroxy ketone. The oxygen lone pair of neutral water attacks C3; move the C2=C3 pi pair toward C1–C2 and the carbonyl pi pair onto oxygen. This produces the charge-separated enolate–oxonium intermediateA second water molecule can relay a proton from the newly attached oxonium oxygen to the enolate system. Using the carbon-centered resonance structure, reform C1=O and protonate C2 while the donating O–H bond returns its pair to the added oxygen. Equivalently, oxygen protonation first gives an enol, followed by water-mediated keto-enol tautomerism. Either path yields a neutral beta-hydroxy ketone and regenerates the relay water. There is no need to introduce externally supplied H${}^{+}$ or OH${}^{-}$; solvent molecules perform the proton transfers. The uncatalyzed charge separation has a large barrier, so this mechanism describes a slow formal pathway, not a claim of rapid hydration in pure water.

The C–O-forming transition state has a partial bond from water oxygen to C3, positive charge developing on that oxygen, and negative charge delocalizing toward the carbonyl oxygen. A compact drawing isHere the two C–C dotted connections denote redistribution of pi bonding, not cleavage of either carbon–carbon sigma bond. In a bond-order drawing retain the full sigma skeleton: C1–O is changing from double toward single, C1–C2 from single toward double, C2–C3 from double toward single, and C3–O from absent toward single. The incoming water approaches a face of the approximately planar conjugated unit and C3 begins to become tetrahedral. The total electric charge remains zero. If proton transfer to another water occurs concertedly, include a partially broken incoming-water O–H bond and a partially formed relay O–H bond; that is a solvent-assisted variant, not a different regioselectivity. The original mechanism schematic identifies these bond changes without depicting a falsely isolated free hydroxide reagent.

At pH 7, a glutamate residue is normally carboxylate. Its most natural role is general-base activation of the attacking water. Draw the carboxylate oxygen lone pair toward a water H, the water O–H pair toward its oxygen, and that oxygen's lone pair toward C3 while the conjugated pi system moves toward the carbonyl oxygen:This can be concerted, avoiding a freely diffusing hydroxide intermediate. The protonated glutamate subsequently returns its proton to the enolate system, directly or through solvent, regenerating carboxylate. A favorable arrangement is needed; ordinary carboxylate does not quantitatively deprotonate bulk water in a prior equilibrium.

The side-chain amide of glutamine is neutral. Its N–H can donate a hydrogen bond to the carbonyl oxygen and stabilize developing enolate charge, while its amide oxygen can accept a hydrogen bond to orient attacking water. Draw $\mathrm{Gln}-\mathrm{CON}{\mathrm{H}}_2\cdots \mathrm{O}=C1-C2=C3$, with the dotted interaction from amide N–H to substrate oxygen. This assists polarization and transition state stabilization; the amide nitrogen is not an ordinary amine base because its lone pair is delocalized into its own carbonyl.

The guanidinium group of arginine is positively charged. It can stabilize developing negative charge by hydrogen bonding and electrostatic attraction, drawn $\mathrm{Arg}-\mathrm{guanidiniu}{\mathrm{m}}^{+}\cdots {\mathrm{O}}^{\delta -}-C1$. Its delocalized cation is not the preferred neutral general base at pH 7. Productive catalysis requires stronger stabilization of the reacting arrangement than of the unreactive ground-state complex.

Phenylalanine and leucine have hydrocarbon side chains and provide no conventional acid/base or hydrogen-bond donor/acceptor group here. They can position the enone, exclude unproductive solvent and select the attacked face through hydrophobic effect and steric hindrance. Those binding effects can assist catalysis but should not be drawn as an imaginary side-chain proton relay. The original schematic depicts the Glu water relay and the Gln/Arg oxyanion-stabilizing contacts.

The beta-carbon bond-forming transition state retains the same basic connectivity across this pH range, but the predominant proton-transfer route and enzyme protonation change. Near the acidic end, protonated glutamate can act as a general acid, donating a proton or a strong hydrogen bond to carbonyl oxygen and making C3 more electrophilic; it is less available as the carboxylate general base that activates water. Above its local $p{K}_a$, carboxylate-mediated water activation is favored. Acid catalysis therefore shifts positive-charge stabilization toward a protonated carbonyl, whereas base-assisted attack reduces positive-charge buildup on incoming water. Neither a unique transition-state geometry nor a numerical pH optimum follows from pH alone.

Using a free-solution glutamate side-chain $p{K}_a\simeq 4.2$ only as an illustration, the deprotonated fraction is $[1+10^{p{K}_a-\mathrm{pH}}{]}^{-1}$: about 0.059 at pH 3 and 0.998 at pH 7. An enzyme environment can shift that $p{K}_a$ substantially. The glutamine amide and the hydrocarbon side chains remain in their ordinary forms from pH 3 to 10; arginine guanidinium, with a typical free side-chain $p{K}_a$ around 12.5, remains predominantly positive even at pH 10. Thus the major side-chain switch among those listed is glutamate. At the alkaline end, bulk hydroxide can also contribute to nonenzymatic conjugate addition. A measured pH-rate profile must control substrate stability and enzyme folding before assigning every loss of activity to an active-site titration.

catalysis requires a protonated group, consistent with a general-acid contribution. Loss of its proton as pH rises would remove carbonyl activation or the proton needed to finish the conjugate reduction. A glutamate residue with a shifted active-site $p{K}_a$ is a plausible candidate, but a pH cutoff alone neither identifies the residue nor measures a precise $p{K}_a$. Irreversible unfolding or changes in substrate binding must also be excluded by reversible pH jumps, protein-integrity checks and initial-rate measurements.

For the mechanistic notation below, the reduced cofactor is written NADPH, the established cofactor of human steroid 5α-reductase. The original PDF explicitly labels it NADH; its abbreviated N-substituent does not display the phosphate distinction. NADH and NADPH have the same reactive reduced nicotinamide ring, so the local hydride-transfer arrows are unchanged, although their biochemical specificity is different.^[ref]

Y91F implicates the Tyr hydroxyl, while E57Q implicates the Glu carboxylic-acid chemistry. Replacing tyrosine by phenylalanine retains an aromatic side chain but removes its hydroxyl, supporting a role for Tyr91 as a hydrogen bond donor that polarizes the steroid C3 carbonyl and stabilizes an enolate-like intermediate or transition state. Its hydroxyl could participate in a proton relay, but inactivity alone does not establish that it supplies the final proton.

Replacing a glutamate residue by glutamine approximately preserves side-chain size while replacing a titratable carboxylic acid by an amide. Loss of activity, combined with the acidic activity range, supports protonated Glu57 as a carbonyl-activating acid and possible proton donor. The two residues can cooperate to stabilize oxygen charge during reduction. The inhibitor-binding structure supports local contacts; it is not a direct picture of a testosterone transition state, and an N–H contact of the aza inhibitor need not occur in testosterone.

To distinguish these chemical roles from indirect effects, compare mutant and wild-type abundance, membrane insertion and folding, cofactor binding, and steroid binding. Measure initial rates with matched enzyme amounts and include no-enzyme and inhibitor-treated wild-type controls. If binding survives but turnover fails, the evidence for a catalytic defect is stronger. The published study combines structure, mutagenesis and modeled testosterone placement, so the proposed residue roles should be distinguished from direct observation of proton trajectories.^[ref]

Hydride is delivered to steroid C5 and a proton to C4; the C3 ketone is retained. Use the conjugated fragment $\mathrm{O}=C3-C4=C5$. Carbonyl hydrogen bonds from Tyr91–OH and protonated Glu57 lower the barrier to conjugate reduction. Draw a curved arrow from the nicotinamide C4–H bond of NADPH to steroid C5, shift the C4=C5 pi pair toward C3–C4, and shift C3=O pi electrons onto oxygen. The nicotinamide ring rearomatizes to NADP+; the steroid becomes a bound enolate, or its protonated enol equivalent. electron shifts across the nicotinamide ring must accompany C–H bond cleavage rather than leaving an unexplained neutral carbon radical.

Next, reform C3=O and protonate steroid C4 from an appropriately positioned acid, directly or through an enol/proton-relay route. This regenerates the catalytic acid after solvent reprotonation. The enzyme fixes the hydride-accepting face so that the new C5–H has the 5α configuration, giving dihydrotestosterone; delivery to the opposite face would give a different ring-junction configuration. This is not simple 1,2 reduction of the C3 carbonyl to an alcohol. The net local bookkeeping is one hydride plus one proton across C4=C5, with two electrons supplied by NADPH. The original reactive-fragment diagram shows the enolate-forming arrows and the separate protonation step.

finasteride is reduced at C1, leaving a C2 enolate that attacks nicotinamide C4 to make the covalent C–C adduct. In the inhibitor's unsaturated lactam, the reactive chain is $\mathrm{O}=C3-C2=C1$, with N at steroid position 4. Activate the C3 carbonyl by hydrogen bonding; draw the reduced cofactor's C4–H bond toward inhibitor C1, the C1=C2 pi pair toward C2–C3, and the C3=O pi pair toward oxygen. This gives NADP+ next to the C2-centered resonance form of the inhibitor enolate.

Instead of completing reduction by protonating C2, move the C2 lone pair toward the electrophilic C4 of the oxidized nicotinamide ring. Shift the pyridinium pi system toward its positively charged N, and reform the inhibitor carbonyl if using the oxygen-centered enolate representation. The result is the C2(inhibitor)–C4(nicotinamide) bond and a neutral dihydronicotinamide ring. Numbering the two molecules separately prevents confusing cofactor C4 with the inhibitor's N4. The lactam N–H remains present and can help position the inhibitor through hydrogen bonding; it does not form a covalent bond to the protein.

This is mechanism-based inhibition: enzyme chemistry generates the species that traps its own oxidized cofactor. Isolation of a cofactor–inhibitor adduct after protein denaturation, rather than persistent attachment to a denatured protein, distinguishes it from covalent modification of an amino acid side chain. The original mechanistic study combined radiolabel recovery, purification and spectroscopy to establish the adduct; its slow breakdown also cautions against treating “irreversible” as an absolute statement for every timescale.^[ref]