Transition State For Proton Transfer Research Articles

Electronic Structure and Proton Transfer in Ground-State Hexafluoroacetylacetone

The ground electronic state (X(1)A(1)) of hexafluoroacetylacetone (HFAA) has been subjected to synergistic experimental and theoretical investigations designed to resolve controversies surrounding the nature of intramolecular hydrogen bonding for the enol tautomer. Cryogenic (93K) X-ray diffraction studies were conducted on single HFAA crystals grown in situ by means of the zone-melting technique, with the resulting electron density maps affording clear evidence for distinguishable O(1)-H and H...O(2) bonds that span an interoxygen distance of 2.680 +/- 0.003 A. Such laboratory findings have been corroborated by a variety of quantum chemical methods including Hartree-Fock (HF), density functional [DFT (B3LYP)], Møller-Plesset perturbation (MPn), and coupled cluster [CCSD, CCSD(T)] treatments built upon extensive sets of correlation-consistent basis functions. Geometry optimizations performed at the CCSD(T)/aug-cc-pVDZ level of theory predict an asymmetric (C(s)) equilibrium configuration characterized by an O...O donor-acceptor separation of 2.628 A. Similar analyses of the transition state for proton transfer reveal a symmetric (C(2v)) structure that presents a potential barrier of 21.29 kJ/mol (1779.7 cm(-1)) height. The emerging computational description of HFAA is in reasonable accord with crystallographic measurements and suggests a weakening of hydrogen-bond strength relative to that of the analogous acetylacetone molecule.

Quantum Chemical Modeling of the Cardiolipin Headgroup

Cardiolipin is a key lipid component in many biological membranes. Proton conduction and proton-lipid interactions on the membrane surface are thought to be central to mitochondrial energy production. However, details on the cardiolipin headgroup structure are lacking and the protonation state of this lipid at physiological pH is not fully established. Here we present ab initio DFT calculations of the cardiolipin (CL) headgroup and its 2'-deoxy derivative (dCL), with the aim of establishing a connection between structure and acid-base equilibrium in CL. Furthermore, we investigate the effects of solvation on the molecular conformations. In our model, both CL and dCL showed a significant gap between the two pK(a) values, with pK(a2) above the physiological range, and intramolecular hydrogen bonds were found to play a central role in the conformations of both molecules. This behavior was also observed experimentally in CL. Structures derived from the DFT calculations were compared with those obtained experimentally, collected for CL in the Protein Data Bank, and conformations from previous as well as new molecular dynamics simulations of cardiolipin bilayers. Transition states for proton transfer in CL were investigated, and we estimate that protons can exchange between phosphate groups with an approximate 4-5 kcal/mol barrier. Computed NMR and IR spectral properties were found to be in reasonable agreement with experimental results available in the literature.

Mechanistic Insights and the Role of Cocatalysts in Aza-Morita−Baylis−Hillman and Morita−Baylis−Hillman Reactions

The mechanism of the trimethylamine or trimethylphosphine catalyzed aza-Morita-Baylis-Hillman (MBH) reaction between acrolein and mesyl imine is investigated by using ab initio and density functional methods. All key transition states are located at the CBS-4M as well as at the mPW1K/6-31+G** levels of theories. To account for the experimentally known rate enhancements through the use of polar protic cocatalysts, transition state models with explicit cocatalysts are considered. Inclusion of polar protic cocatalysts is found to have a profound influence in decreasing the activation barriers associated with the key elementary steps. The protic cocatalysts such as water, methanol, and formic acid are identified as effective in promoting a relay proton transfer. Interestingly, the efficiency of the relay mechanism results in relatively better stabilization of the proton transfer transition state as compared to the addition of enolate to the electrophile (C-C bond formation). The cocatalyst bound models suggest that the proton transfer could become the rate-determining step in the aza-MBH reaction under polar protic conditions. A comparison of the aza-MBH reaction with the analogous MBH reaction is also attempted to bring out the subtle differences between these two reactions. Enhanced kinetic advantages arising from the nature of the activated electrophile are noticed for the aza-MBH reaction. The difference in the relative energies between the transition states for the proton transfer and the C-C bond formation steps with bound cocatalyst(s) is found to be more pronounced in the aza-MBH reaction. In general, the reported results underscore the importance of considering explicit solvents/cocatalysts in order to account for the likely role of the specific interactions between reactants and solvents/cocatalysts.

Analysis of the Critical Step in Catalytic Carbodiimide Transformation: Proton Transfer from Amines, Phosphines, and Alkynes to Guanidinates, Phosphaguanidinates, and Propiolamidinates with Li and Al Catalysts

While lithium amides supported by tetramethylethylenediamine (TMEDA) are efficient catalysts in the synthesis of substituted guanidines via the guanylation of an amine with carbodiimide, as well as the guanylation of phosphines and conversion of alkynes into propiolamidines, aluminum amides are only efficient catalysts for the guanylation of amides. Density functional theory (DFT) calculations were used to explain this difference in activity. The origin of this behavior is apparent in the critical step where a proton is transferred from the substrate to a metal guanidinate. The activation energies of these steps are modest for amines, phosphines, and alkynes when a lithium catalyst was used, but are prohibitively high for the analogous reactions with phosphines and alkynes for aluminum amide catalysts. Energy decomposition analysis (EDA) indicates that these high activations energies are due to the high energetic cost of the detachment of a chelating guanidinate nitrogen from the aluminum in the proton transfer transition state. Amines are able to adopt an ideal geometry for facile proton transfer to the aluminum guanidinate and concomitant Al-N bond formation, while phosphines and alkynes are not.

Amidolithium and Amidoaluminum Catalyzed Synthesis of Substituted Guanidines: An Interplay of DFT Modeling and Experiment

The synthesis of substituted guanidines is of significant interest for their use as versatile ligands and for the synthesis of bioactive molecules. Lithium amides supported by tetramethylethylenediamine have recently been shown to catalyze the guanylation of amines with carbodiimide. In this report, density functional theory (DFT) calculations are used to provide insight into the mechanism of this transformation. The mechanism identified through our calculations is a carbodiimide insertion into the lithium-amide bond to form a lithium guanidinate, followed by a proton transfer from the amine. The proton transfer transition state requires the dissociation of one of the chelating nitrogen centers of the lithium guanidinate, proton abstraction from the amine, and bond formation between the lithium center and the amine nitrogen. On the basis of this mechanism, further calculations predicted that aluminum amides would also function as active catalysts for the guanylation of amines. We confirm this experimentally and report the development of aluminum amides as a new main group catalyst for the guanylation of a range of electron-poor amines with carbodiimide.

Proton Pumping Mechanism in Cytochrome c Oxidase

Two different issues, important for the pumping mechanism of cyctochrome c oxidase, have been addressed in the present study. One of them concerns the nature of two key proton transfer transition states. A simple electrostatic model is used to suggest that the transition state (TS) for transfer to the pump-site should be positively charged, while the one for transfer to the binuclear center should be charge-neutral. The character of the former TS will guarantee that the protons will be pumped to the outside and not return to the inside, while the neutral character of the latter one will allow transfer with a sufficiently low barrier. In the simple electrostatic analysis, leading to this qualitative picture of the pumping process, the results from the kinetic experiments are strictly followed, but it is at least as important to follow the fundamental requirements for pumping. In this perspective, the uncertainties in the quantitative analysis should be rather unimportant for the emerging qualitative picture of the pumping mechanism. The second problem addressed concerns the purpose of the K-channel. It is argued that the reason for the presence of the K-channel could be that protons cannot pass through the binuclear center at some stage of pumping. Barriers and water binding energies were computed using hybrid density functional theory (DFT) to investigate this question.

Molecular dynamics simulations of small glycine–(H 2O) n ( n = 2–7) clusters on semiempirical PM6 potential energy surfaces

A recently developed semiempirical PM6 method was applied to study small glycine–water clusters. Various low-energy configurations as well as proton-transfer transition-states were optimized to understand the ability of the PM6 method in describing the electronic structures of these systems by comparing to previous density-functional theory and ab initio molecular orbital studies. Moderately good agreement was obtained for structures and energetics of the glycine–(H 2O) n clusters although PM6 seems to somewhat overestimate the stability of the zwitterionic form. Molecular dynamics simulations directly using the PM6 potential surface were then carried out to determine the statistical structures of the clusters. Although we did not observe the transformation between neutral ↔ zwitterionic forms in our simulations, an interesting proton-dissociated behavior was seen as the cluster size increases. The difference in water solvation structures around the neutral or zwitterionic glycine form is also discussed.

Enzymatic Catalysis of Proton Transfer at Carbon: Activation of Triosephosphate Isomerase by Phosphite Dianion

More than 80% of the rate acceleration for enzymatic catalysis of the aldose-ketose isomerization of (R)-glyceraldehyde 3-phosphate (GAP) by triosephosphate isomerase (TIM) can be attributed to the phosphodianion group of GAP [Amyes, T. L., O'Donoghue, A. C., and Richard, J. P. (2001) J. Am. Chem. Soc. 123, 11325-11326]. We examine here the necessity of the covalent connection between the phosphodianion and triose sugar portions of the substrate by "carving up" GAP into the minimal neutral two-carbon sugar glycolaldehyde and phosphite dianion pieces. This "two-part substrate" preserves both the alpha-hydroxycarbonyl and oxydianion portions of GAP. TIM catalyzes proton transfer from glycolaldehyde in D2O, resulting in deuterium incorporation that can be monitored by 1H NMR spectroscopy, with kcat/Km = 0.26 M-1 s-1. Exogenous phosphite dianion results in a very large increase in the observed second-order rate constant (kcat/Km)obsd for turnover of glycolaldehyde, and the dependence of (kcat/Km)obsd on [HPO32-] exhibits saturation. The data give kcat/Km = 185 M-1 s-1 for turnover of glycolaldehyde by TIM that is saturated with phosphite dianion so that the separate binding of phosphite dianion to TIM results in a 700-fold acceleration of proton transfer from carbon. The binding of phosphite dianion to the free enzyme (Kd = 38 mM) is 700-fold weaker than its binding to the fleeting complex of TIM with the altered substrate in the transition state (Kd = 53 muM); the total intrinsic binding energy of phosphite dianion in the transition state is 5.8 kcal/mol. We propose a physical model for catalysis by TIM in which the intrinsic binding energy of the substrate phosphodianion group is utilized to drive closing of the "mobile loop" and a protein conformational change that leads to formation of an active site environment that is optimally organized for stabilization of the transition state for proton transfer from alpha-carbonyl carbon.

Investigation of electronic structure and proton transfer in ground state acetylacetone

Various quantum chemical methods, including Hartree–Fock (HF), density functional (DFT/B3LYP), Møller–Plesset perturbation (MP2), and coupled-cluster [CCSD, CCSD(T), CC3] schemes, have been exploited with correlation-consistent basis sets in an attempt to resolve controversies surrounding the equilibrium structure of ground-state acetylacetone. Geometry optimizations performed at the CCSD(T)/aug-cc-pVDZ level of theory predict a global minimum-energy configuration of C s symmetry that exhibits an interoxygen distance of 2.575 Å, with the symmetric (C 2v) transition state for proton transfer presenting a potential barrier of 1276.7 cm −1 height. The resulting theoretical description of acetylacetone is in excellent agreement with recent electron diffraction experiments.

THEORETICAL STUDY TOWARD UNDERSTANDING THE CATALYTIC MECHANISM OF PYRUVATE DEHYDROGENASE MULTIENZYME COMPLEX E1 COMPONENT

Density functional calculations are employed to investigate the mechanisms of all elementary reaction steps involved in the catalytic reaction of pyruvate dehydrogenase multienzyme complex E1 (PDHc E1). We have obtained the free energy profiles for all reaction steps, and have demonstrated the importance of some key residues (Glu571, Glu522, His640 and a water molecule) near the active center in each individual step. Glu571 plays an essential role in the ylide formation, the addition of pyruvate, and the release of acetaldehyde. Glu522 helps to orientate the carboxyl of pyruvate in favor of the addition reaction of pyruvate. The protonation of the enamine is found to proceed through a concerted double proton transfer transition state involving His640 and a water molecule. All reaction steps are calculated to be thermodynamically favorable, except for the release of acetaldehyde which is slightly endothermic. The protonation of the enamine is a rate-limiting step with a barrier of 24.5 kcal/mol in the protein environment. Comparing the energetics of the catalytic reaction in PDHc E1 with that in PDC, we find that the relative orientation of some conserved residues and the conformation of the cofactor ThDP have a significant impact on the reaction rates of individual steps.

Ab Initio Molecular Dynamics of Excited-State Intramolecular Proton Transfer around a Three-State Conical Intersection in Malonaldehyde

Excited-state potential energy surface (PES) characterization is carried out at the CASSCF and MRSDCI levels, followed by ab initio dynamics simulation of excited-state intramolecular proton transfer (ESIPT) on the S2(pipi*) state in malonaldehyde. The proton-transfer transition state lies close to an S2/S1 conical intersection, leading to substantial coupling of proton transfer with electronic relaxation. Proton exchange proceeds freely on S2, but its duration is limited by competition with twisting out of the molecular plane. This rotamerization pathway leads to an intersection of the three lowest singlet states, providing the first detailed report of ab initio dynamics around a three-state intersection (3SI). There is a significant energy barrier to ESIPT on S1, and further pyramidalization of the twisted structure leads to the minimal energy S1/S0 intersection and energetic terminal point of excited-state dynamics. Kinetics and additional mechanistic details of these pathways are discussed. Significant depletion of the spectroscopic state and recovery of the ground state is seen within the first 250 fs after photoexcitation.

Theoretical Study toward Understanding the Catalytic Mechanism of Pyruvate Decarboxylase

Density functional calculations are employed to explore the mechanisms of all elementary reaction steps involved in the catalytic cycle of pyruvate decarboxylase (PDC). Different models are constructed for mimicking the involvement of some key residues in a certain step. The effect of the protein framework on the potential energy profiles of active site models is approximately modeled by fixing some freedoms, based on the crystal structure of the PDC enzyme from Saccharomyces cerevisiae (ScPDC). Our calculations confirm that Glu51 is the most important residue in the formation of the ylide and the release of acetaldehyde via the proton relay between Glu51, N1', and the 4'-amino group of thiamine diphosphate. The presence of Glu477 and Asp28 residues makes the decarboxylation of lactylthiamin diphosphate (LThDP) an endothermic process with a significant free energy barrier. The protonation of the alpha-carbanion to form 2-(1-hydroxyethyl)-thiamin diphosphate is found to go through a concerted double proton transfer transition state involving both Asp28 and His115 residues. The final step, acetaldehyde release, is likely to proceed through a concerted transition state involving carbon-carbon bond-breaking and the deprotonation of the alpha-hydroxyl group. The decarboxylation of LThDP and the protonation of the alpha-carbanion are two rate-limiting steps, relative to the facile occurrence of the ylide formation and acetaldehyde release. The catalytic roles of residues Glu51, Glu477, Asp28, and Gly417 in the active site of ScPDC in individual steps elucidated from the present study are in good agreement with those derived from site-directed mutagenesis.

Ab Initio Integrated Multi-Center Molecular Orbitals Method for Large Cluster Systems: Total Energy and Normal Vibration

A new computational scheme integrating multi-center ab initio molecular orbitals for determining total energy and normal vibration of large cluster systems is presented. This method can be used to treat large cluster systems such as solvents by quantum mechanics. The geometry parameters, the total energies, the relative energies, and the normal vibrations for four models of water cluster, the hydrated hydronium ion complex, and the transition state of proton transfer are calculated by the present method and are compared with those obtained by the full ab initio MO method. The results agree very well. The scheme proposed in this article is also intended to be used in modeling computer cluster systems using parallel algorithms.

Variable-Temperature X-ray Crystallographic and DFT Computational Study of the NH···O/N···HO Tautomeric Competition in 1-(Arylazo)-2-naphthols. Outline of a Transiton-State Hydrogen-Bond Theory

Phenyl-substituted 1-arylazo-2-naphthols (AAN) display ...HN-N=C-C=O... <==>...N=N-C=C-OH... ketohydrazone-azoenol tautomerism and can form intramolecular resonance-assisted H-bonds from pure N-H...O to pure N...H-O through tautomeric and dynamically disordered N-H...O <==>N...H-O bonds according to the electronic properties of their substituents. Three compounds of this series (m-OCH(3)-AAN = mOM; p-Cl-AAN = pCl; and p-NMe(2)-AAN = pNM2) have been studied by X-ray crystallography at four temperatures (100-295 K), showing that the remarkably short H-bonds formed (2.53 < or = d(N...O) < or = 2.55 A) are a pure N-H...O in mOM, a dynamically disordered mixture in pCl (N-H...O:N...H-O = 69:31 at 100 K), and a statically disordered mixture in pNM2 (N-H...O:N...H-O = 21:79 at 100 K). These compounds, integrated by the p-H-, p-NO(2)-, p-F-, and p-O(-)-substituted derivatives, have been emulated by DFT methods (B3LYP/6-31+G(d,p) level) with full geometry optimization of the stationary points along the proton-transfer (PT) pathway: N-H...O and N...H-O ground states and N...H...O transition state. Analysis of DFT-calculated energies and geometries by the methods of the rate-equilibrium Marcus theory shows that all H-bond features (stability and tautomerism, as well as position and height of the PT barrier) can be coherently interpreted in the frame of the transition-state (or activated-complex) theory by considering the bond as a chemical reaction N-H...O <==> N...H...O <==> N...H-O which is bimolecular in both directions and proceeds via the N...H...O PT transition state (the activated complex).

Chiral recognition in phosphinic acid dimers

AbstractA theoretical study of chiral recognition in the minimum and proton transfer transition state structures of 15 pairs of chiral phosphinic acid dimers was carried out using DFT and MP2 methods, up to the MP2/6–311++G(3df,2p) level. The proton transfer proceeds via a concerted pathway in all cases studied. Even though these complexes show high interaction energies, of the order of 120 kJ mol−1, and short interatomic HB distances, our results show small energy differences between the homochiral (RR or SS) and the heterochiral dimers (RS or SR) both in the equilibrium configuration and in the proton transfer transition state owing to the disposition of the nonoxygen substituents of the phosphorus atom as proved with additional model complexes. Copyright © 2005 John Wiley &amp; Sons, Ltd.

An Experimental and Computational Study of the Enantioselective Lithiation of N-Boc-pyrrolidine Using Sparteine-like Chiral Diamines

The enantioselective lithiation of N-Boc-pyrrolidine using sec-butyllithium and isopropyllithium in the presence of sparteine-like diamines has been studied experimentally and computationally at various theoretical levels through to B3P86/6-31G*. Of the (-)-cytisine-derived diamines (N-Me, N-Et, N-(n)Bu, N-CH(2)(t)Bu, N-(i)Pr) studied experimentally, the highest enantioselectivity (er 95:5) was observed with the least sterically hindered N-Me-substituted diamine, leading to preferential removal of the pro-R proton i.e., opposite enantioselectivity to (-)-sparteine. The experimental result with the N-Me-substituted diamine correlated well with the computational results: at the B3P86/6-31G* level, the sense of induction was correctly predicted; the lowest energy complex of isopropyllithium/diamine/N-Boc-pyrrolidine also had the lowest activation energy (DeltaH++ = 11.1 kcal/mol, DeltaG++= 11.5 kcal/mol) for proton transfer. The computational results with the N-(i)Pr-substituted diamine identified a transition state for proton transfer with activation energies of DeltaH++= 11.7 kcal/mol and DeltaG++= 11.8 kcal/mol (at the B3P86/6-31G* level). Although comparable to (-)-sparteine and the N-Me-substituted diamine, these DeltaH++ and DeltaG++ values are at odds with the experimental observation that use of the N-(i)Pr-substituted diamine gave no product. It is suggested that steric crowding inhibits formation of the prelithiation complex rather than increasing the activation enthalpy for proton transfer in the transition state. Three other ligands (N-H and O-substituted as well as a five-membered ring analogue) were studied solely using computational methods, and the results predict that the observed enantioselectivity would be modest at best.

Effects of Alkyl-Group Substitution on the Proton-Transfer Barriers in Ammonium and Hydroxylammonium Nitrate Salts

The effects of alkyl (CH3 and C2H5) substitutions for hydrogen on the proton-transfer barriers in ammonium nitrate (AN) and hydroxylammonium nitrate (HAN) are studied by using ab initio electronic structure calculations. The optimized hydrogen-bonded neutral-pair structures and the ion-pair transition states for proton transfer are determined at the B3LYP/6-311++G(d,p) level. Zero-point energies, basis set superposition corrections, and single-point MP2 calculations on the optimized structures are applied to obtain binding energies for these hydrogen-bonded molecules. The alkyl substituents strengthen the hydrogen bonding in both the neutral- and ion-pair complexes, but the ion-pair forms are stabilized to a greater extent, which results in a decrease in the barrier to proton transfer and exchange. The energy barrier to proton transfer in AN is 8.1 kcal/mol, whereas in methylammonium (MeA), ethylammonium (EtA), and dimethylammonium (diMeA) nitrate this barrier decreases to 4.1, 3.7, and 1.4 kcal/mol, resp...

Geometry optimization and transition state search in enzymes: Different options in the microiterative method

AbstractIn the current article we present a systematic analysis of the different options in the so‐called “microiterative method” used to locate minima and transition‐state (TS) structures of big systems on quantum mechanics/molecular mechanics potential energy surfaces. The method splits the system in two parts: a core zone in which accurate second‐order search is carried out, and an environment that is kept minimized with a cheap first‐order algorithm. The different options studied here are: the alternating frequency between the environment minimization and the TS search in the core, the number of atoms included in each zone, and two alternative ways to reduce the computational cost in the calculation of core–environment interactions. The tests have been done at two different steps of the enzymatic mechanism of mandelate racemase: a proton transfer and a carbon configuration inversion step. The two selected TS structures differ in the number of atoms involved in their associated transition vectors; the proton transfer TS is an example of a local motion, whereas the carbon configuration inversion TS corresponds to a more global movement of several groups and residues, including an important number of atoms. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004

Identity proton-transfer reactions from C-H, N-H, and O-H acids. An ab initio, DFT, and CPCM-B3LYP aqueous solvent model study.

Identity proton-transfer reactions between 21 acids, Y-X-H, and their conjugate bases, (-)X-Y, were studied according to the reaction scheme, Y-X-H + (-)X-Y --> (Y-X-H...(-)X-Y)(cx) --> [Y-X...H...X-Y](ts) --> (Y-X..H-X-Y)(cx) --> Y-X(-) + H-X-Y, where cx indicates an ion-molecule complex and ts indicates the proton-transfer transition state. All species were optimized at the MP2/6-311+G level, and these geometries were used for single-point calculations by other methods: coupled-cluster, DFT (gas phase), and a polarizable continuum aqueous solvent model (COSMO). All methods gave enthalpies of deprotonation which correlate well with experimental measurements of deltaH(ACID) (gas) or pK(a) (aq). Calculated gas-phase enthalpies of deprotonation (deltaH(ACID)) and enthalpies of activation (deltaH(#)) are poorly correlated except for small, carefully selected sets. This result stands in contrast to the many aqueous phase Brönsted correlations of kinetic and equilibrium acid strength. On the other hand, gas-phase enthalpies of complexation and deltaH(#) are well correlated, indicating that factors which stabilize the transition state are at work in the bimolecular ion-molecule complex although to a smaller degree. We infer that intermoiety electrostatic and other interactions, similar within the complex and the transition state, but absent in the separated reactants (products), cause the lack of correlation between deltaH(ACID) and the other two quantities. Such differences are strongly attenuated in water because reactants and products do interact with polar/polarizable matter (the solvent) if not with each other. Charge distributions (NPA) were computed, allowing calculation of Bernasconi's "transition state imbalance parameter". Such measures provide intuitively satisfactory trends, but only if the reaction termini, X, are kept the same. As X is made more electronegative, the magnitude of the apparent imbalance increases, a result of greater negative charge on X in the transition state. This result gives additional support for the importance of the ion-triplet structure, [YX(-)...H(+)...(-)XY], to the stability of the transition state. Additional qualitative support for this conclusion is provided by the inverse relationship between the activation barrier and the charge on the in-flight hydrogen in the transition state, and by the dominance of polar over resonance substituent effects on the stability of the transition state. Calculations also show that the "nitroalkane anomaly", well established in solution, does not exist in the gas phase. The COSMO model partly reproduces this anomaly and performs adequately except when strong, specific intermolecular forces such as hydrogen bonding between solvent and anions are important.

Synergism of Catalysis and Reaction Center Rehybridization. A Novel Mode of Catalysis in the Hydrolysis of Carbon Dioxide

A quantum mechanical study is presented of the activation barrier of the one-, two-, and three-water hydrolyses of CO2. Geometries were optimized, frequencies were calculated, and NPA charges were determined at MP2(full)/6-31G* and MP2(full)/6-311G**, and energies were also determined at MP4(full,SDTQ)/6-311G**//MP2(full)/6-311G** and QCISD(T)/6-31G**//MP2(full)/6-31G**. The activation barriers are ΔH0 = 223.0 kJ/mol and ΔG298 = 235.6 kJ/mol for the one-water hydrolysis and they are ΔH0 = 149.8 kJ/mol and ΔG298 = 164.4 kJ/mol for the two-water hydrolysis at MP4(full,SDTQ)/6-311G**. The catalytic effect of the second water molecule is due to the alleviation of ring strain in the proton-transfer transition state. The placement of the third water molecule in the proton-transfer ring causes only an insignificant catalytic effect with respect to the two-water hydrolysis. The placement of the third water molecule opposite the site of proton transfer is explored here and it leads to activation barriers of ΔH0 = 122.6 kJ/mol and ΔG298 = 143.1 kJ/mol. The catalytic effect of the third water molecule is approximately 20 kJ/mol with respect to the two-water hydrolysis, and this is attributed to charge relaxation and rehybridization in the transition state. The results are compared to studies on the three-water hydrolysis of carbodiimide to discern the effects of atomic polarizability on the activation barriers of the hydrolyses of heterocumulenes. The conceptional insights predict that the catalytic effect should increase with more polarizable heteroatoms.