Mechanistic stoichiometry

Hinkle, P.C., Kumar, M. A., Rasetar, A., Harris, D.L. (1991). Mechanistic stoichiometry of mitochondrial oxidative phosphorylation. Biochemistry 30, 3576-3582. 

Hinkle PC et al Mechanistic stoichiometry of mitochondrial oxidative phosphorylation. Biochemistry 1991 30 3576. 

Hinkle, P. C., A. Kumar, A. Resetar, and D. L. Harris, Mechanistic stoichiometry of mitochondrial oxidative phosphorylation. Biochem. 30 3576, 1991. Measurements of P-to-O ratios and a discussion of the amount of ATP synthesized during the oxidation of glucose. 

The influence of boron-bonded ligands on the kinetics and mechanistic pathways of hydrolysis of amine boranes has been examined (37,38). The stoichiometry of trimetbyl amine azidoborane [61652-29-7] hydrolysis in acidic solution is given in equation 10. It is suggested that protonation occurs at the azide ligand enabling its departure as the relatively labile HN species. 

For a reaction as complex as catalytic enantioselective cyclopropanation with zinc carbenoids, there are many experimental variables that influence the rate, yield and selectivity of the process. From an empirical point of view, it is important to identify the optimal combination of variables that affords the best results. From a mechanistic point of view, a great deal of valuable information can be gleaned from the response of a complex reaction system to changes in, inter alia, stoichiometry, addition order, solvent, temperature etc. Each of these features provides some insight into how the reagents and substrates interact with the catalyst or even what is the true nature of the catalytic species. 

Either diastereomer 2 or 3 may be preferentially produced with high selectivity depending on the nature of the enolate counterion present2642-44. Mechanistic details of the diastercofacial differentiation process are not clear in many cases the diastereomeric ratio of the products exhibits a complex dependence on stoichiometry, enolate counterion and reaction conditions26. The dependence of the d.r. on the nature of the enolate counterion is roughly outlined (vide supra) while examples of conditions employed for the reaction of the enolates 1 with prochiral aldehydes arc listed (Table 4). 

There is an extensive literature devoted to the preparation and structure determination of coordination compounds. Thermal analysis (Chap. 2, Sect. 4) has been widely and successfully applied in determinations [1113, 1114] of the stoichiometry and thermochemistry of the rate processes which contribute to the decompositions of these compounds. These stages may overlap and may be reversible, making non-isothermal kinetic data of dubious value (Chap. 3, Sect. 6). There is, however, a comparatively small number of detailed isothermal kinetic investigations, together with supporting microscopic and other studies, of the decomposition of coordination compounds which yields valuable mechanistic information. 

For mechanisms that are more complex than the above, the task of showing that the net effect of the elementary reactions is the stoichiometric equation may be a difficult problem in algebra whose solution will not contribute to an understanding of the reaction mechanism. Even though it may be a fruitless task to find the exact linear combination of elementary reactions that gives quantitative agreement with the observed product distribution, it is nonetheless imperative that the mechanism qualitatively imply the reaction stoichiometry. Let us now consider a number of examples that illustrate the techniques used in deriving an overall rate expression from a set of mechanistic equations. 

Solution of Eq. (2) is only part of the overall problem in mechanistic studies. Indeed, Eq. (2) represents only the first of many sequential inverse problems vthich we commonly lump together and which represent the overall inverse problem in chemical kinetics [110-112]. The next problem is the determination of the moles of all species, the elemental stoichiometries of species, the number of observable reactions, and the balanced stoichiometries for all observable reactions. 

One view to explain different P/O ratios for different classes of organisms is to consider variability in both the molecular mechanism as well as the stoichiometry of proton transport and ATP synthesis with the source of the enzyme [67]. However, considering our molecular mechanism and the energetics of the oxidative phosphorylation process, we believe that a universality in the mechanistic, kinetic and thermodynamic characteristics of the system is operative. 

This example illustrates the qualitative nature of information that can be gleaned from macroscopic uptake studies. Consideration of adsorption isotherms alone cannot provide mechanistic information about sorption reactions because such isotherms can be fit equally well with a variety of surface complexation models assuming different reaction stoichiometries. More quantitative, molecular-scale information about such reactions is needed if we are to develop a fundamental understanding of molecular processes at environmental interfaces. Over the past 20 years in situ XAFS spectroscopy studies have provided quantitative information on the products of sorption reactions at metal oxide-aqueous solution interfaces (e.g., [39,40,129-138]. One... 

Recent work describes the addition reactions of hydrazine and substituted derivatives to NP (62). The kinetic studies were done using UV-Vis absorption and mass spectrometric methods. Different stoichiometries were found, depending on the nucleophile. We can distinguish three different mechanistic paths, and these will be successively presented, with an effort to extract some common mechanistic features. 

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