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Equation 1 · Part 12 · Chemical Dynamics and Catalysis in Practice: An Advanced Technical Guide

Denominator: partial ln k_i

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}}
∂ln⁡ki\partial \ln k_i

What this part means

The complete quantity below the fraction bar; it must be nonzero for this division.

Its job in the formula

partial ln kik_i occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

Open the illustrated fractions: division written vertically guide →

Sources cited in the surrounding passage

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