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Equation 2 · Chemical Dynamics and Catalysis in Practice: An Advanced Technical Guide

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rr

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the overall reaction rate. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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rr

Symbol r

the overall reaction rate.

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Here r is the overall reaction rate, kik_i is the rate constant of step i , and the partial derivative is taken holding the equilibrium constant KiK_i of that step fixed (so that only kinetics, not thermodynamics, is perturbed) and all other rate constants constant. This equation matters because it is the formal object the rest of this section’s isotope analysis is trying to estimate indirectly — DRC values are rarely measured directly; they are inferred from how observables like isotope ratios and apparent activation energies respond to controlled perturbations.

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