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Equation 1 · Part 3 · Chemical Dynamics and Catalysis in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol Δ E_bind

r∝exp⁡ ⁣(−Ea(ΔEbind)kBT)r \propto \exp\!\left(-\frac{E_a(\Delta E_{\text{bind}})}{k_B T}\right)
ΔEbind\Delta E_{\text{bind}}

What this part means

Δ EbE_bind occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

Δ EbE_bind occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…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 EaE_a is itself a function of the binding energy Δ\Delta EbindE_{\text{bind}} , 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. This is why catalyst discovery is not a search over infinite possibilities so much as a search over a…

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