Copper(II) complexes of carnosine, glycylglycine, and glycylglycine-imidazole mixtures

Carnosine complexes with copper(II) ions were studied with magnetic resonance techniques over a wide range of ligand to metal ratios at various pH values. Water proton relaxation rates increased with decreasing carnosine to copper ratios until a molar ratio of 48 was reached. Over the ratio range of 48–2 carnosine molecules per copper ion, the relaxation rate decreased so that in the 2:1 carnosine-copper(II) complex, the water-copper(II) distance was estimated to be 1.92 Å. Proton NMR studies revealed the broadening of imidazole proton lines at high mole ratios followed by other histidyl protons as the ratio decreased. The β-alanyl methylene protons were the last to be broadened by the addition of copper(II) ions. Carbon to copper(II) distances were determined for the carnosine to copper mole ratios of 500:1 and 5000:1. EPR spectra obtained at 93°K revealed the probable existence of four carnosine imidazoles as the sole coordinated ligands to copper(II) at high dipeptide-to-metal ratios (>10). At mole ratios below four, nuclear hyperfine lines characteristic of both monomeric and dimeric carnosine-copper(II) forms were observed. These results reveal that imidazole from carnosine is the sole ligand contributed to copper(II) for coordination over the pH range 5 to 7 at high carnosine to copper(II) ratios     

Carnosine as molecular probe for sensitive detection of Cu(II) ions using localized 1H NMR spectroscopy

Complex formation of carnosine (Csn) with Cu(II) is suspected to be of significant biochemical importance and can be detected by NMR via ion-induced paramagnetic relaxation of Csn signals. Here, we present quantification of the sensitivity achieved with localized (1)H NMR spectroscopy at physiological pH and high ligand-to-metal ratios. While characterizing the highly effective relaxation transfer onto a huge Csn pool due to fast ligand exchange, it is demonstrated that a metal-to-ligand ratio of approximately 100 ppm suffices to reduce Csn signals by approximately 50% in vitro, thus making the dipeptide a sensitive probe for such ions. Variation of the donor accessibility reveals that the paramagnetic effect is transferred onto a approximately 1370-fold donor abundance for a given ion concentration. A method is presented to characterize such effective ligand exchange relaxation transfer. These studies focus on the monomer formation since comparison with (1)H NMR data of human calf muscle demonstrates that the dimer complex is insignificant in vivo. Observed line broadening in living tissue yields an upper limit of ca. 195 ppm for the Csn-related copper concentration in human skeletal muscle.     

Binding of copper(II) to carnosine: Raman and IR spectroscopic study

A comparative Raman and FTIR study of carnosine, a dipeptide present in several mammalian tissues, and its complexes with copper(II) at different pH values was carried out. The neutral imidazole ring gives rise to some bands that appear at different wavenumbers, depending on whether the imidazole ring is in the tautomeric form II or I. At pH 7 and 9 the molecule exists in equilibrium between the two tautomeric forms; tautomer I is predominant. Metal coordination is a factor that affects the tautomeric equilibrium, and the copper(II) coordination site can be monitored by using some Raman marker bands such as the vC(4)=C(5) band. On the basis of the vibrational results, conclusions can be drawn on the functional groups involved in the Cu(II) chelation and on the species existing in the Cu(II)-carnosine system. At neutral and basic pH the most relevant species formed when the Cu(II)/carnosine molar ratio is not very different from unity is a dimer, [Cu(2)L(2)H(-2)](0). In this complex the ligand coordinates the metal via the N (amino), O (carboxylate), and N (amide) donor atoms while the N(tau) nitrogen atoms of the imidazole rings (tautomer II) bridge the copper(II) ions. At a slightly acidic pH the two monomeric complexes [CuLH](2+) and [CuL](+) were present. In the former the imidazole ring takes part in the Cu(II) coordination in the tautomeric I form whereas in the latter it is protonated and not bound to Cu(II).     

Formation of copper-bleomycin complexes: evidence of a three-step process

The formation of Cu(II)-bleomycin complexes as a function of pH has been studied using circular dichroism, absorption, electron paramagnetic resonance spectroscopy, and potentiometric titration. Our data support the following points: the formation of Cu(II)-bleomycin complexes occurs in a three-step process: a first complex (I) is formed at pH 1.2, which most probably involves the pyrimidine nitrogen, the secondary amine nitrogen, and two water molecules as the four in-plane ligands of copper. A second complex (II) is formed at pH 2.5, through the further coordination of the peptide nitrogen of histidine residue, and histidine imidazole nitrogen giving rise to the release of two protons. The fixation, in apical position, of the alpha-amino nitrogen of beta-aminoalanine occurs in a last step through the release of one additional proton. A value of 2.7 has been obtained for the pK of formation of this third complex, which is the species present at physiological pH. In the Cu(II)-depbleomycin system only one complex (II') has been detected.     

Multiple forms of the cobalt(II)-carnosine complex.

Cobalt(II) ion and L-carnosine produce two different complexes when mixed in aqueous solution at pH 7.2. One complex has coordination of N-3 of the imidazole ring to the cobalt(II) and is produced when the concentration of peptide exceeds that of cobalt(II). The second complex has chelation of three nitrogen atoms of a single carnosine. This second complex produces a reversible oxygen carrier by making stable mixed chelates with additional carnosine, histidine or cysteine. These results indicate that cobalt complexes with mixed ligands should be of more importance $\text{in}\text{vivo}$ than those with carnosine as the only ligand. They provide an explanation for the high activity and substrate specificity of carnosinase in kidney.     

Characterization of dioxygenated cobalt(II)-carnosine complexes by Raman and IR spectroscopy

Raman and IR studies are carried out on carnosine (beta-alanyl-L-histidine, Carnos) and its complexes with cobalt(II) at different metal/ligand ratios and basic pH. Binuclear complexes that bind molecular oxygen are formed and information regarding the O-O bridge is obtained from the Raman spectra. When the Co(II)/Carnos ratio is 相似文献   

Raman and IR spectroscopic investigation of zinc(II)-carnosine complexes

The zinc(II)-L-carnosine system was investigated at different pH and metal/ligand ratios by Raman and IR spectroscopy. The Raman and IR spectra present some marker bands useful to identify the sites involved in metal chelation at a specific pH value. In particular, the neutral imidazole group gives rise to some Raman bands, such as the nu C(4)===C(5) band, that change in wave number, depending on whether the imidazole ring takes the tautomeric form I or II. Even if tautomer I is predominant in the free ligand, metal coordination can upset tautomeric preference and N(tau)- and N(pi)-ligated complexes can be identified. Although weak compared to those of aromatic residues, these Raman marker bands may be useful in analyzing metal-histidine interaction in peptides and proteins. On the basis of the vibrational results, conclusions can be drawn on the species existing in the system. Depending on the available nitrogen atoms, various complexes can be formed and the prevalent form of the species depends mainly on the pH. At basic pH carnosine gives rise to two different neutral complexes: a water-insoluble polymeric species, [ZnH(-1)L](0)(n), and a dimer, [Zn(2)H(-2)L(2)](0). The first is predominant and involves the tautomeric I form of the imidazole ring in metal chelation; the second contains tautomer II and increases its percentage by going from a 2 to 0.25 metal/ligand ratio. Conversely, the dimeric species dominates at pH 7, whereas two charged species, [ZnHL](2+) and [ZnL](+), are formed under slightly acidic conditions. In the [ZnHL](2+) complex the imidazole ring takes part in the Zn(II) coordination in the tautomeric I form, whereas in [ZnL](+) the ring is protonated and not bound to the Zn(II) ion. In addition, the curve fitting analysis of the 1700-1530 cm(-1) Raman region was helpful in indicating the predominant species at each pH.     

Interaction of the vanadyl (IV) cation with carnosine and related ligands

The interaction of the vanadyl (IV) (VO²⁺) cation with carnosine (the dipeptide β-alanyl-histidine) has been investigated by electron absorption spectroscopy at high ligand-to-metal ratios and at different pH values. The results show that in the range 6.0–8.5, the cation interacts with the imidazole group of four different carnosine molecules and points to the presence of an axially coordinated water molecule. These suppositions were confirmed by the behavior of the VO²⁺/imidazole system, which was investigated under similar experimental conditions, and supported by previous ENDOR (electron-nuclear double resonance) results. The study was complemented with additional measurements using the glycylglycine, glycylglycine/imidazole, and histidine systems as ligands.     

Reversed micelles to mimic the active site of metalloenzymes

The structure and reactivity of cobalt(II), nickel(II), and copper(II) halides have been investigated in 0.20 M CTAX (X = Cl, Br) |CHCl₃ reversed micelles. The former two metal ions adopt a tetrahedral configuration at low water concentrations in the micelle. The tetrahedral complexes are converted to octahedral aqua complexes by increasing the water concentration (solvochromism) or by lowering the temperature (thermochromism). Upon reaction with imidazole, the tetrahedral cobalt and nickel halide complexes also undergo a structural transformation into an octahedral configuration with imidazole coordination. At low water concentrations, copper halides form a polynuclear complex bridged by halide ions and these halogen bridges are easily broken upon addition of water or imidazole. The copper complexes produced by reaction with imidazole were deduced to be CuIm₂X₂ and CuIm₄X₂ at intermediate and high ligand concentrations, respectively. It was also found that the cupric ion in reversed micelles is readily reduced to the cuprous ion with 2-mercaptoethanol, and the cuprous ion is oxidized to the cupric ion by reaction with hydrogen peroxide.     

Nuclear magnetic resonance studies of substrate interaction with cobalt substituted alcohol dehydrogenase from liver.

The role of zinc in liver alcohol dehydrogenase has been studied by replacement of 1.3 and 3.5 of the four Zn(II) ions with Co(II) and measuring the effects of the paramagnetic Co(II) on the relaxation rates of the protons of water, ethanol, and isobutyramide. Water relaxation studies at 8, 24, 100, and 220 MHz indicate two classes of bound Co(II). The similar to 2 readily replaced Co(II) ions retain one fast exchanging water proton in their inner coordination spheres, while the similar to 2 slowly exchanging Co(II) ions coordinate no detectable water protons, indicating that the former replaced Zn(II) at the "catalytic sites" and the latter replaced Zn(II) at the "structural sites" detected crystallographically. Ethanol, acetaldehyde, and isobutyramide bind with appropriate affinities to the Co(II) substituted alcohol dehydrogenases decreasing the number of fast exchanging protons at the catalytic Co(II) site by greater than or equal to 54 percent. Coenzyme binding causes smaller changes in the water relaxation rate which may be due to local conformation changes. The paramagnetic effects of Co(II) at the catalytic site on the relaxation rates of the methyl protons of isobutyramide at 100 and 220 MHz indicate that this analog binds at a site 9.1 A from the catalytic Co(II). This distance decreases to 6.9 A when NADH is bound, and a Co(II) to methyne proton distance of 6.6 A is determined indicating a conformation change leading to the formation of a second sphere enzyme-Co(II)-isobutyramide complex in which a hydroxyl or water ligand intervenes between the metal and the substrate analog. Similar behavior is observed in the enzyme-ethanol complexes. The paramagnetic effects of Co(II), at the catalytic site, on the relaxation rates of the protons of ethanol at 100 and 220 MHz, indicate that this substrate bind at a site 12-14 A distant from the catalytic Co(II) but that this distancedecreases to 6.3 A in the abortive enzyme-NADH-ethanol complex. The role of the catalytic Co(II) thus appears to be the activation of a hydroxyl or water ligand which polarizes the aldehyde carbonyl group by hydrogen bonding. The role of the structural Co(II), which is more distant from isobutyramide (9-11 A), may be that of a template for protein conformation changes. By combining the present distances with those from previous magnetic resonance studies on the liver enzyme, the arrangement of coenzyme, metal, and substrate at the active site in solution can be constructed. This arrangement is consistent with that of ADP-ribose and zinc in the crystalline complex of liver alcohol dehydrogenase as determined by X-ray crystallography (Branden et al., (1973), Proc. Natl. Acad. Sci. U.S.A.70, 2439).     

Copper and cobalt complexes of carnosine and anserine: production of active oxygen species and its enhancement by 2-mercaptoimidazoles.

Phosphate buffer solutions of two dipeptides prevalent in striated muscle, L-carnosine (beta-alanyl-L-histidine) and L-anserine (beta-alanyl-L-1-methylhistidine), produce active oxygen species as measured by bleaching of N,N-dimethyl-4-nitrosoaniline (RNO). Activity is enhanced 5-14-fold in the presence of 2-mercaptoimidazoles such as ergothioneine, carbimazole (3-methyl-2-mercaptoimidazole-1-carboxylate), methimazole (2-mercapto-1-methylimidazole) and 2-mercaptoimidazole but only slightly by thiourea and dimethylthiourea. Activity is proportional to carnosine concentration and to mercaptoimidazole concentration at a fixed concentration of the second component. A variety of imidazoles closely related to carnosine and anserine are inactive, even after addition of transition metal ions. Activity is moderately increased above the pKa of the carnosine imidazole ring (pH 7.2, 7.5 and 8.0) versus below the pKa (pH 6.5 and 6.8). Activity is slightly increased by addition of copper or cobalt ions but not by addition of ferrous or ferric ions. Activity is decreased by Chelex 100 pretreatment of phosphate buffer and stimulated when copper or cobalt ions are added to the chelated buffer but there is no significant stimulation by ferric ions. Catalase eliminates most activity but superoxide dismutase has little effect. We propose that metal-carnosine and metal-anserine complexes produce superoxide and also serve as superoxide dismutases with resultant accumulation of hydrogen peroxide. An unidentified radical produced from hydrogen peroxide subsequently bleaches RNO. From the biological distributions of carnosine, anserine and ergothioneine, we infer that deleterious effects are probably minimal under normal physiological circumstances due to tissue and cellular compartmentalization and to sequestration of these compounds and transition metal ions.     

An investigation of heavy meromyosin-ADP binding equilibria by proton release measurements.

The interaction of magnesium-ADP with skeletal muscle heavy meromyosin has been studied by measuring the accompanying release of protons. Total pH changes of the order of 0.03 were involved, and measurements were performed with a discrimination of some ten-thousandths of a pH unit. At pH 8.0 and 25 degrees C about 0.5 mol of protons per mol of heavy meromyosin is released at saturation. A stoichiometry of binding close to 2 mol of ADP per mol of protein was found, with a binding constant, obtained from the proton release titration curve (pH 8.0, 25 degrees C), of 2 X 10(5) M-1. At 5 degrees C the release of protons per mole is slightly greater, and the binding constant is somewhat increased, reflecting a negative enthalpy of binding. Similar proton release behavior is observed in the presence of manganous ions in place of magnesium. The liberation of protons is thus unrelated to the temperature-dependent isomerization of myosin in the presence of substrate. Alkylation of a reactive thiol group (SH1) does not change the proton liberation at pH 8.0. From the pH dependence of proton release, the association constant of heavy meromyosin with magnesium-ADP at other pH values can be inferred and shows an appreciable rise as the pH increases. The pH-proton release profile also allows the pK of the ionizing groups perturbed by the ligand to be deduced. At least two groups ionizing above pH 7 and one below are involved. Their pK's in the unperturbed state are assigned as 8.5, 9.3, and about 6.6, respectively; they are displaced in the complex to about 8.0, 9.1, and 6.3. A relation to the pH-activity profile of myosin ATPase is indicated. The pH-proton release profile is somewhat changed when the SH1 group is alkylated. Measurements with potassium-ADP, in the absence of magnesium, show that at pH 8.0 there is no proton release but rather a sizeable proton absorption (about 0.5 mol of protons per mol of heavy meromyosin). The association constant derived from the titration curves (pH 8.0, 25 degrees C) is 3 X 10(4) M-1.     

Ultrasonic absorption studies of protein-buffer interactions

The acoustic absorption of protein solutions in the presence of phosphate and other buffering ions has been studied in the physiological pH range. Buffers containing hydroxyl residues as titratable groups cause a pronounced increase of protein sound absorption, which is attributed to relaxation processes of proton transfer reactions between buffer ions and accessible imidazole and -amino groups of the protein surface. Amino group based buffers like Good's buffers do not induce additional sound absorption. Measurement of the ultrasonic absorption as a function of pH and of buffer concentration, and corresponding parameter fitting of the equation describing proton transfer relaxation processes has been used to evaluate equilibrium parameters. For the imidazole group of the amino acid histidine a pK value of 6.22 and for the imidazole group of the protein lysozyme a pK value of 5.71 have been determined. In hemoglobin the ligand-linked pK changes have been monitored by recording ultrasonic titration curves.     

Solvent proton relaxation studies of cytochrome c oxidase solutions

The interaction of solvent water protons with the bound paramagnetic metal ions of beef heart cytochrome c oxidase has been examined. The observed proton relaxation rates of enzyme solutions had a negative temperature dependence, indicating a rapid exchange between solvent protons in the coordination sphere of the metal ions and bulk solvent. An analysis of the dependence of the proton relaxation rate on the observation frequency indicated that the correlation time, which modulates the interaction between solvent protons and the unpaired electrons on the metal ions, is due to the electron spin relaxation time of the heme irons of cytochrome c oxidase. This means that at least one of the hemes is exposed to solvent. The proton relaxation rate of the oxidized enzyme was found to be sensitive to changes in ionic strength and to changes in the spin states of the metal ions. Heme a3 was found to be relatively inaccessible to bulk solvent. Partial reduction of the enzyme caused a slight increase in the relaxation rate, which may be due to a change in the antiferromagnetic coupling between two of the bound paramagnetic centers. Further reduction resulted in a decreased relaxation rate, and the fully reduced enzyme was no longer sensitive to changes in ionic strength. The binding of cytochrome c to cytochrome c oxidase had little effect on the proton relaxation rates of oxidized cytochrome oxidase indicating that cytochrome c binding has little effect on solvent accessibility to the metal ion sites.     

Regulation of peroxo-bridge formation between cobalt(II)-carnosine complexes by histidine: Possible involvement in polycythemia

The mechanisms by which histidine stabilizes the cobalt(II)-carnosine complex from oxidation to cobalt(III) in aqueous solution are investigated with ¹H-nmr, laser Raman, and Fourier transform-infrared spectroscopy. Histidine has at least three effects on the cobalt(II)-carnosine complex. First, over the concentration range of at least 5 to 250 mM, histidine stabilizes the cobalt(II)-carnosine complex from oxidation by excluding solvent molecules from the equatorial coordination positions. Second, at the upper end of this concentration range, histidine reduces the strained nonplanarity of the equatorial coordination positions around the cobalt(II) ion that results from tridentate chelation by carnosine. Bidentate ligation by histidine causes the carnosine to bind as a bidentate ligand also. Third, bidentate ligation of two carnosine molecules to the equatorial coordination positions of Co(II) ion places the β-alanyl residues inthe vicinity of the two axial coordination positions and thereby inhibits the binding of molecular oxygen. Substitution of a molecule of histidine for one of these two carnosine molecules makes an axial coordination position available for binding oxygen. The first two effects are expected to stabilize the cobalt(II) ion from rapid oxidation, whereas the third effect is expected to give long-term stability of the peroxo-bridged complex. Since bidentate ligation of histidine is favored over monodentate ligation only when the concentration of Co(II) ion is not limiting and is inhibited by high concentrations of carnosine in the same solution, the results presented provide a possible explanation for the observation that the stability of the Co(II) complexes toward oxidation and their ability to bind molecular oxygen depend on both the relative and absolute concentrations of Co(II) ion, carnosine, and histidine in solution. Furthermore, these results provide additional support to the suggestion that the high activity of carnosinase in kidney is involved in part in regulation of the oxygen sensor in this organ.     

Comparison of the electron spin echo envelope modulation (ESEEM) for human lactoferrin and transferrin complexes of copper(II) and vanadyl ion

Copper(II) and vanadyl ions were bound to human milk lactoferrin or serum transferrin with carbonate or oxalate as the synergistic anion. Electron spin echo envelope modulation (ESEEM) due to nitrogen of a coordinated histidine imidazole was observed for both the copper and vanadyl complexes. For both metals, the modulation frequencies in the Fourier transforms of the data were similar for the two proteins and were weakly dependent on anion. When data in D2O/glycerol-d3 were compared with data in H2O/glycerol, the deep deuterium modulation indicated multiple exchangeable protons in the vicinity of the metals with at most one proton within about 2.9 A of the metal. The distribution of exchangeable protons around the metals as probed by ESEEM was the same, within experimental uncertainty, for the copper or vanadyl complexes with either carbonate or oxalate as the anion. When 13C-labeled oxalate was used as the synergistic anion, 13C-ESEEM was observed for both the copper and vanadyl complexes of lactoferrin and transferrin. The deeper 13C modulation for copper and vanadyl transferrin [13C]oxalate than for vanadyl transferrin [13C]carbonate suggests that both ends of the oxalate are bound to the metal in the transferrin and lactoferrin complexes.     

Proton and deuteron nuclear magnetic relaxation dispersion studies of Ca2+-Mn2+-concanavalin A: evidence for two classes of exchanging water molecules

We have measured the magnetic field dependence of the nuclear magnetic relaxation rates (NMRD profiles) of solvent protons and deuterons in solutions of Ca2+-Mn2+-concanavalin A (Con A) with and without saccharide present. Data were obtained over the range -8 to 35 degrees C; the extension to the lowest temperature was made possible by the presence of 5 M salt. Since previous theoretical analyses, using accepted relaxation theories of 1H NMRD profiles alone, led to unsatisfactory conclusions, we have attempted to take advantage of the fact that the residence lifetime of a water ligand of the metal ions can influence the relaxation behavior of protons and deuterons differently. From a comparison of the present proton and deuteron results, we find that Ca2+-Mn2+-Con A has two classes of binding sites: one, associated with the inner coordiation sphere of the Mn2+ ions, having a resident lifetime for solvent water of approximately 10(-5) s that is reduced by the presence of saccharide and another having a lifetime of approximately 5 X 10(-9) s, located with the protons of the bound waters approximately 4.4 A from the Mn2+ ions (assuming two equivalent water molecules in this class), which is well beyond the coordination environment of the Mn2+ ions. The relaxation contribution of these more distant sites is unaffected by saccharide. The conclusions are corroborated by measurements of the temperature dependences of the proton NMRD profiles, which show quite clearly that the profiles are composite, containing two contributions with opposite dependences on temperature.(ABSTRACT TRUNCATED AT 250 WORDS)     

Assignment of a ligand in stellacyanin by a pulsed electron paramagnetic resonance method.

The electron spin echo decay envelope for the blue copper protein, stellacyanin, and for a number of other Cu(II) complexes has been studied. Particular attention was given to the form of the "nuclear modulation" patterns, which show the effects of coupling between the electron spin and the neighboring nuclei. The envelopes for the hydrated cupric complex and for copper(II) glycylglycine were essentially the same and indicative of the coupling to protons. The peptide complex contains nitrogen nuclei coupled directly to Cu(II), but the coupling constant is so large for these nuclei that a modulation pattern ascribable to 14N is not seen. For copper(II) bovine serum albumin, on the other hand, a contribution due to the coupling of the remote nitrogen belonging to a histidyl imidazole ligand was observed. The modulation pattern for this complex and for stellacyanin closely resembled one another, strongly suggesting that an imidazole is ligated to the copper in this blue protein.     

Inactivation of thiostrepton by copper(II)

Summary Among the various bivalent metal ions tested, only copper(II) was found to bind to thiostrepton (M _rr 1650) in a stoichiometric ratio of 4:1. The binding of four copper ions to a thiostrepton molecule resulted in (a) irreversible loss in biological activity and (b) a change in the ultraviolet absorption spectrum of the antibiotic. Potentiometric titration of thiostrepton in the presence of copper(II) revealed dissociation of the antibiotic with a loss of 11 protons/molecule. Based on the preferential ability of copper(II) to bind to thiostrepton in the presence of some copper-complexing compounds containing similar ligand groups to the antibiotic, the possible co-ordinating atoms of the thiostrepton molecule involved in binding to the metal ion are discussed.     

Proton equilibria in the binding of Zn2+ and of methylmercuric iodide to papain.

The proton liberation on the binding of zinc chloride and methylmercuric iodide to the (essential) thiol group of papain has been examined as a function of pH. This was carried out by (a) direct titration of the protons on the addition of the metal compound to active papain and (b) measurement of the extent of inhibition of enzyme activity by the metal compound as a function of pH. It was found that in the neutral pH range the thiol group or the neighbouring imidazole group in the free enzyme carries one proton, at low pH both groups do so, whereas at high pH neither group carries a proton. The pK values of the free enzyme that govern the proton release, 4.2 and 8.5, correspond to those that govern overall activity. Both from the experiments with methylmercuric iodide and from fluorescence measurements of methylmercuric papain, it was established that the imidazole group in the latter compound exhibits a pK of 5.4. Taking recent data into account, it was considered that the ion pair of thiolate anion and imidazolium cation, proposed by Polgar, is the best approximation to describe the charge distribution in the active centre and to explain the reaction mechanism.