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Equation 1 · Part 2 · Chemical Dynamics and Catalysis in Practice: An Advanced Technical Guide

Symbol r

XRC,i=(∂ln⁡r∂ln⁡ki)Ki,kj≠iX_{RC,i} = \left(\frac{\partial \ln r}{\partial \ln k_i}\right)_{K_i, k_{j \neq i}}
rr

What this part means

the overall reaction rate.

Its job in the formula

r is an input to the expression that computes the quantity on the left.

Where the article explains it

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.

The passage around this formula

…of the rate with respect to the log of a single rate constant, evaluated at the reaction conditions of interest, and it can be computed from a microkinetic model built on density-functional or experimental barriers. 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…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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