Complex reactions thermodynamic consistency, rate constants

The thermodynamics and kinetics of H+ binding to cobalt(I) and nickel(I) macrocycles have been determined. The pAia of Ni(cyclam)(H), / / 5 5 -NiHTIM(H) + and A-rac-CoHMD(H) + are 1.8, 1.9 and 11.7, respectively [14, 24, 27]. As seen from Table 3, protonation rate constants for A-rac-CoHMD depend on acid strength. The results are consistent with an associative reaction of the square-planar complex with an acid, HA. Whereas the spectrum of 7V-rac-CoHMD(H) + suggests the formation of a [Co (H )] + species with an absorption band at 440 nm (520 M cm ), Ni(cyclam)(H) + shows no significant absorbance in the 300-700 nm region [14, 24]. 

This is the simplest explanation for the observation that when L and M have come to an equilibrium which contains these species in comparable amounts, the concentration of L decreases to near zero even while M remains at its maximal accumulation. Recent measurements of the quasi-equilibrium which develops in asp96asn bacteriorhodopsin before the delayed reprotonation of the Schiff base confirm this kinetic paradox [115]. Two M states have been suggested also on the basis that the rise of N did not correlate with the decay of M [117]. In monomeric bacteriorhodopsin the two proposed M states in series have been distinguished spectroscopically as well [115]. It is well known, however, that kinetic data of the complexity exhibited by this system do not necessarily have a single mathematical solution. Thus, assurance that a numerically correct model represents the true behavior of the reaction must come from testing it for consistencies with physical principles. It is encouraging therefore that the model in Fig. 5 predicts spectra for the intermediates much as expected from other, independent measurements, and the rate constants produce linear Arrhenius plots and a self-consistent thermodynamic description [116]. 

Activation of ethane with these tethered dinuclear species was observed to give exclusive C—H activation, despite the fact that C—C bond cleavage would be thermodynamically more favorable (170). For steric reasons, C—H activation of methane is kinetically favored over C—H activation of ethane or methanol substrates in these systems (second-order rate constants in the order H2 > CH4 > MeOH > Et > MePh). Activation parameters and kinetic isotope effects derived from kinetic studies of C—H activation processes with these tethered complexes are consistent with the previous conclusions derived from reactions with [Rh°(TMP)]. 

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