Symbol r
r is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Published equation contexts
Why this formula appears here
A catalyst does its work by opening a lower-energy pathway between reactants and products — typically by binding an intermediate, weakening a bond that would otherwise need more thermal energy to break, and then releasing the product so the surface is free for another cycle. The energetics of that binding step follow a well-established shape: bind too weakly and the reactant never activates; bind too strongly and the product never leaves. Plotted against binding energy, catalytic activity for a given reaction traces an inverted-U — the Sabatier principle — and the best catalysts sit as close as possible to the peak. Here the activation energy is itself a function of the binding energy…
Read the representative guide
Symbol E_a
itself a function of the binding energy , so tuning a catalyst is really tuning where on that curve a given surface sits — through composition, structure, and the local electronic environment around active sites.
Read this term in its guide →Symbol Δ E_bind
Δ ind occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Read this term in its guide →Symbol k_B
occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Read this term in its guide →Symbol T
T occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Read this term in its guide →Denominator: k_B T
The complete quantity below the fraction bar; it must be nonzero for this division.
Read this term in its guide →How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 1 · Chemistry
Chemical Dynamics and Catalysis in 2035: Scenarios, Signals, and Falsifiable Predictions
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
A catalyst does its work by opening a lower-energy pathway between reactants and products — typically by binding an intermediate, weakening a bond that would otherwise need more thermal energy to break, and then releasing the product so the surface is free for another cycle. The energetics of that binding step follow a well-established shape: bind too weakly and the reactant never activates; bind too strongly and the product never leaves. Plotted against binding energy, catalytic activity for a given reaction traces an inverted-U — the Sabatier principle — and the best catalysts sit as close as possible to the peak. Here the activation energy is itself a function of the binding energy…
Meanings in this article
- : itself a function of the binding energy , so tuning a catalyst is really tuning where on that curve a given surface sits — through composition, structure, and the local electronic environment around active sites.