Calculating the chemical mechanism of nitrogenase: new working hypotheses

What triggers the coupling of proton transfer and electron transfer at the active site of nitrogenase?

In converting N2 to NH3 the enzyme nitrogenase utilises 8 electrons and 8 protons in the complete catalytic cycle. The source of the electrons is an Fe4S4 reductase protein (Fe-protein) which temporarily docks with the MoFe-protein that contains the catalytic active cofactor, FeMo-co, and an electron transfer cluster called the P cluster. The overall mechanism involves 8 repetitions of a cycle in which reduced Fe-protein docks with the MoFe-protein, one electron transfers to the P-cluster, and then to FeMo-co, followed by dissociation of the two proteins and re-reduction of the Fe-protein. Protons are supplied serially to FeMo-co by a Grotthuss proton translocation mechanism from the protein surface along a conserved chain of water molecules (a proton wire) that terminates near S atoms of the FeMo-co cluster [CFe7S9Mo(homocitrate)] where the multiple steps of the chemical conversions are effected. It is assumed that the chemical mechanisms use proton-coupled electron-transfer (PCET) and that H atoms (e- + H+) are involved in each of the hydrogenation steps. However there is neither evidence for, or mechanism proposed, for this coupling. Here I report calculations of cluster charge distribution upon electron addition, revealing that the added negative charge is on the S atoms of FeMo-co, which thereby become more basic, and able to trigger proton transfer from H3O+ waiting at the near end of the proton wire. This mechanism is supported by calculations of the dynamics of the proton transfer step, in which the barrier is reduced by ca. 3.5 kcal mol-1 and the product stabilised by ca. 7 kcal mol-1 upon electron addition. H tunneling is probable in this step. In nitrogenase it is electron transfer that triggers proton transfer.

Computational Model Study of the Experimentally Suggested Mechanism for Nitrogenase

The mechanism for N2 activation in the E4 state of nitrogenase was investigated by model calculations. In the experimentally suggested mechanism, the E4 state is obtained after four reductions to the ground state. In a recent theoretical study, results for a different mechanism have been found in excellent agreement with available Electron Paramagnetic Resonance (EPR) experiments for E4. The two hydrides in E4 leave as H2 concertedly with the binding of N2. The mechanism suggested differs from the experimentally suggested one by a requirement for four activation steps prior to catalysis. In the present study, the experimentally suggested mechanism is studied using the same methods as those used in the previous study on the theoretical mechanism. The computed results make it very unlikely that a structure obtained after four reductions from the ground state has two hydrides, and the experimentally suggested mechanism does therefore not agree with the EPR experiments for E4. Another structure with only one hydride is here suggested to be the one that has been observed to bind N2 after only four reductions of the ground state.

The E3 state of FeMoco: one hydride, two hydrides or dihydrogen?

Hydrides are present in the reduced states of the iron-molybdenum cofactor (FeMoco) of Mo nitrogenase and are believed to play a key mechanistic role in the dinitrogen reduction reaction catalyzed by the enzyme. Two hydrides are present in the E4 state according to 1H ENDOR and there is likely a single hydride in the E2 redox state. The 2-hydride E4 state has been experimentally observed to bind N2 and it has been speculated that E3 may bind N2 as well. However, the E3 state has not been directly observed and very little is known about its molecular and electronic structure or reactivity. In recent computational studies, we have explored the energy surfaces of the E2 and E4 by QM/MM modelling, and found that the most stable hydride isomers contain bridging or partially bridging hydrides with an open protonated belt sulfide-bridge. In this work we systematically explore the energy surface of the E3 redox state, comparing single hydride and two-hydride isomers with varying coordination and bridging vs. terminal sulfhydryl groups. We also include a model featuring a triply protonated carbide. The results are only mildly dependent on the QM-region size. The three most stable E3 isomers at the r2SCAN level of theory have in common: an open belt sulfide-bridge (terminal sulfhydryl group on Fe6) and either 2 bridging hydrides (between Fe2 and Fe6), 1 bridging-1-terminal hydride (around Fe2 and Fe6) or a dihydrogen ligand bound at the Fe2 site. Analyzing the functional dependency of the results, we find that functionals previously found to predict accurate structures of spin-coupled Fe/Mo dimers and FeMoco (TPSSh, B97-D3, r2SCAN, and B3LYP*) are in generally good agreement about the stability of these 3 E3 isomers. However, B3LYP*, similar to its parent B3LYP method, predicts a triply protonated carbide isomer as the most stable isomer, an unlikely scenario in view of the lack of experimental evidence for carbide protonation occurring in reduced FeMoco states. Distinguishing further between the 3 hydride isomers is difficult and this flexible coordination nature of hydrides suggests that multiple hydride isomers could be present during experimental conditions. N2 binding was explored and resulted in geometries with 2 bridging hydrides and N2 bound to either Fe2 or Fe6 with a local low-spin state on the Fe. N2 binding is predicted to be mildly endothermic, similar to the E2 state, and it seems unlikely that the E3 state is capable of binding N2.

The binding of reducible N2 in the reaction domain of nitrogenase

The binding of N₂ to FeMo-co, the catalytic site of the enzyme nitrogenase, is central to the conversion to NH₃, but also has a separate role in promoting the N₂-dependent HD reaction (D₂ + 2H⁺ + 2e^- → 2HD). The protein surrounding FeMo-co contains a clear channel for ingress of N₂, directly towards the exo-coordination position of Fe2, a position which is outside the catalytic reaction domain. This led to the hypothesis [I. Dance, Dalton Trans., 2022, 51, 12717] of 'promotional' N₂ bound at exo-Fe2, and a second 'reducible' N₂ bound in the reaction domain, specifically the endo-coordination position of Fe2 or Fe6. The range of possibilities for the binding of reducible N₂ in the presence of bound promotional N₂ is described here, using density functional simulations with a 486 atom model of the active site and surrounding protein. The pathway for ingress of the second N₂ through protein, past the first N₂ at exo-Fe2, and tumbling into the binding domain between Fe2 and Fe6, is described. The calculations explore 24 structures involving 6 different forms of hydrogenated FeMo-co, including structures with S2BH unhooked from Fe2 but tethered to Fe6. The calculations use the most probable electronic states. End-on (η¹) binding of N₂ at the endo position of either Fe2 or Fe6 is almost invariably exothermic, with binding potential energies ranging up to -18 kcal mol^-1. Many structures have binding energies in the range -6 to -14 kcal mol^-1. The relevant entropic penalty for N₂ binding from a diffusible position within the protein is estimated to be 4 kcal mol^-1, and so the binding free energies for reducible N₂ are suitably negative. N₂ binding at endo-Fe2 is stronger than at endo-Fe6 in three of the six structure categories. In many cases the reaction domain containing reducible N₂ is expanded. These results inform computational simulation of the subsequent steps in which surrounding H atoms transfer to reducible N₂.

The HD Reaction of Nitrogenase: a Detailed Mechanism

Nitrogenase is the enzyme that converts N₂ to NH₃ under ambient conditions. The chemical mechanism of this catalysis at the active site FeMo-co [Fe₇ S₉ CMo(homocitrate)] is unknown. An obligatory co-product is H₂ , while exogenous H₂ is a competitive inhibitor. Isotopic substitution using exogenous D₂ revealed the N₂ -dependent reaction D₂ +2H⁺ +2e^- →2HD (the 'HD reaction'), together with a collection of additional experimental characteristics and requirements. This paper describes a detailed mechanism for the HD reaction, developed and elaborated using density functional simulations with a 486-atom model of the active site and surrounding protein. First D₂ binds at one Fe atom (endo-Fe6 coordination position), where it is flanked by H-Fe6 (exo position) and H-Fe2 (endo position). Then there is synchronous transfer of these two H atoms to bound D₂ , forming one HD bound to Fe2 and a second HD bound to Fe6. These two HD dissociate sequentially. The final phase is recovery of the two flanking H atoms. These H atoms are generated, sequentially, by translocation of a proton from the protein surface to S3B of FeMo-co and combination with introduced electrons. The first H atom migrates from S3B to exo-Fe6 and the second from S3B to endo-Fe2. Reaction energies and kinetic barriers are reported for all steps. This mechanism accounts for the experimental data: (a) stoichiometry; (b) the N₂ -dependence results from promotional N₂ bound at exo-Fe2; (c) different N₂ binding K_m for the HD reaction and the NH₃ formation reaction results from involvement of two different sites; (d) inhibition by CO; (e) the non-occurrence of 2HD→H₂ +D₂ results from the synchronicity of the two transfers of H to D₂ ; (f) inhibition of HD production at high pN₂ is by competitive binding of N₂ at endo-Fe6; (g) the non-leakage of D to solvent follows from the hydrophobic environment and irreversibility of proton introduction.

Biological nitrogen fixation in theory, practice, and reality: a perspective on the molybdenum nitrogenase system

Nitrogenase is the sole enzyme responsible for the ATP-dependent conversion of atmospheric dinitrogen into the bioavailable form of ammonia (NH₃ ), making this protein essential for the maintenance of the nitrogen cycle and thus life itself. Despite the widespread use of the Haber-Bosch process to industrially produce NH₃ , biological nitrogen fixation still accounts for half of the bioavailable nitrogen on Earth. An important feature of nitrogenase is that it operates under physiological conditions, where the equilibrium strongly favours ammonia production. This biological, multielectron reduction is a complex catalytic reaction that has perplexed scientists for decades. In this review, we explore the current understanding of the molybdenum nitrogenase system based on experimental and computational research, as well as the limitations of the crystallographic, spectroscopic, and computational techniques employed. Finally, essential outstanding questions regarding the nitrogenase system will be highlighted alongside suggestions for future experimental and computational work to elucidate this essential yet elusive process.

Understanding the tethered unhooking and rehooking of S2B in the reaction domain of FeMo-co, the active site of nitrogenase

The active site of the nitrogen fixing enzyme nitrogenase is an Fe₇MoS₉C cluster, and investigations of the enigmatic chemical mechanism of the enzyme have focussed on a pair of Fe atoms, Fe2 and Fe6, and the S2B atom that bridges them. There are three proposals for the status of the Fe2-S2B-Fe6 bridge during the catalytic cycle: one that it remains intact, another that it is completely labile and absent during catalysis, and a third that S2B is hemilabile, unhooking one of its bonds to Fe2 or Fe6. This report examines the tethered unhooking of S2B and factors that affect it, using DFT calculations of 50 geometric/electronic possibilities with a 485 atom model including all relevant parts of surrounding protein. The outcomes are: (a) unhooking the S2B-Fe2 bond is feasible and favourable, but alternative unhooking of the S2B-Fe6 bond is unlikely for steric reasons, (b) energy differences between hooked and unhooked isomers are generally <10 kcal mol^-1, usually with unhooked more stable, (c) ligation at the exo-Fe6 position inhibits unhooking, (d) unhooking of hydrogenated S2B is more favourable than that of bare S2B, (e) hydrogen bonding from the NεH function of His195 to S2B occurs in hooked and unhooked forms, and possibly stabilises unhooking, (f) unhooking is reversible with kinetic barriers ranging 10-13 kcal mol^-1. The conclusion is that energetically accessible reversible unhooking of S2B or S2BH, as an intrinsic property of FeMo-co, needs to be considered in the formulation of mechanisms for the reactions of nitrogenase.