Rate constants for ozone formation and for isotopic exchange reactions

1993 ◽  
Vol 173 (3) ◽  
pp. 393-406 ◽  
Author(s):  
Allan Gross ◽  
G.D. Billing

A derivation is presented for an Elovich equation, d θ /d t = A exp (– Bθ ), describing the kinetics of heterogeneous isotopic exchange reactions involving non-uniform surfaces of solids. By considering a small element of the surface, an equation was obtained relating the rate of transfer of isotope to the rate at which all the molecules of the exchanging species undergo exchange at that element; the effect on kinetics due to the development of excess isotope concentrations on more labile surface sites during isotopic exchange was taken into account. The Elovich equation for exchange over the whole surface was then obtained by an approximate integration procedure previously used in the kinetics of chemisorption of gases on solids, assuming that the activation energies for exchange were a linear function of θ . The term θ was related to the experimentally measured fraction exchange F by θ = bF/[ b + a (1 – F)] where a and b are the concentrations of the exchanging species in the system, in the adsorbed and free states respectively. The derivation indicates methods for obtaining concentration independent rate constants from the parameters A and B .


1969 ◽  
Vol 23 ◽  
pp. 1175-1180 ◽  
Author(s):  
Per Beronius ◽  
Veikko Konttinen ◽  
G. Hagen ◽  
P. H. Nielsen ◽  
Alf A. Lindberg ◽  
...  

2009 ◽  
Vol 29 (4) ◽  
pp. 661-669 ◽  
Author(s):  
Jehoon Yang ◽  
Su Xu ◽  
Jun Shen

In vivo13C magnetic resonance spectroscopy has been applied to studying brain metabolic processes by measuring 13C label incorporation into cytosolic pools such as glutamate and aspartate. However, the rate of exchange between mitochondrial α-ketoglutarate/oxaloacetate and cytosolic glutamate/aspartate ( Vx) extracted from metabolic modeling has been controversial. Because brain fumarase is exclusively located in the mitochondria, and mitochondrial fumarate is connected to cytosolic aspartate through a chain of fast exchange reactions, it is possible to directly measure Vx from the four-carbon side of the tricarboxylic acid cycle by magnetization transfer. In isoflurane-anesthetized adult rat brain, a relayed 13C magnetization transfer effect on cytosolic aspartate C2 at 53.2ppm was detected after extensive signal averaging with fumarate C2 at 136.1ppm irradiated using selective radiofrequency pulses. Quantitative analysis using Bloch–McConnell equations and a four-site exchange model found that VxE13–19 µmol per g per min (≫ VTCA, the tricarboxylic acid cycle rate) when the longitudinal relaxation time of malate C2 was assumed to be within ±33% of that of aspartate C2. If VxE VTCA, the isotopic exchange between mitochondria and cytosol would be too slow on the time scale of 13C longitudinal relaxation to cause a detectable magnetization transfer effect.


2020 ◽  
Vol 22 (28) ◽  
pp. 15885-15899 ◽  
Author(s):  
Viatcheslav Kokoouline ◽  
David Lapierre ◽  
Alexander Alijah ◽  
Vladimir Tyuterev

Knowledge of highly excited rovibrational states of ozone isotopologues is of key importance for modelling the dynamics of exchange reactions, for understanding longstanding problems related to isotopic anomalies of the ozone formation, and for analyses of extra-sensitive laser spectral experiments currently in progress.


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