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ZENODO
Article . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
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Critical Chemical Equivalence(CCE): The SymC Principle Governing Catalysis and Reactivity

Authors: Christensen, Nate;

Critical Chemical Equivalence(CCE): The SymC Principle Governing Catalysis and Reactivity

Abstract

The ratio χ = Γ/(2Ω) — damping rate to characteristic frequency — organizes chemical reactivity across multiple domains. This paper demonstrates that (i) adiabatic versus nonadiabatic electron transfer corresponds to χ > 1 versus χ < 1, (ii) concerted versus stepwise proton-coupled electron transfer reflects whether χ remains within or oscillates through the critical window, and (iii) catalytic bond activation occurs when the catalyst tunes the substrate toward χ ≈ 1. This framework unifies Marcus theory, proton-coupled electron transfer mechanism selection, and the Sabatier principle under a single stability criterion derived from the Symmetrical Convergence (SymC) postulate. Illustrative comparisons with TEMPO self-exchange kinetics showing k_et ∝ 1/τ_L across solvents, and N₂ dissociation on Fe surfaces where barrier reduction from 1.1 eV (Fe(110)) to 0.3 eV (Fe(111)) tracks χ moving toward unity, are consistent with the framework’s predictions. The approach yields falsifiable predictions for solvent effects, isotope effects, and spectroscopic signatures across all three domains.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average