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Equation 1 · Part 6 · Chemical Dynamics and Catalysis in Practice: An Advanced Technical Guide

=

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}}
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

The rigorous move is Charles Campbell’s degree of rate control (DRC) framework, which asks, for each elementary step, how much the overall rate would change if that step’s rate constant were perturbed while holding all others fixed [ 1 ] . A step with a DRC near one is rate-controlling; a step with a DRC near zero is kinetically irrelevant even if it is thermodynamically significant. This is not a qualitative heuristic — it is a derivative of the log 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…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.