How Many Kelvins Are Equivalent to One Electron-Volt: An Investigation of Energy-Temperature Scaling in Catalysis

Classical thermodynamics equates 1 eV to ∼11,606 K, yet reactions associated with eV-scale barriers can still proceed at ∼300 K. In open, driven catalytic systems─particularly photocatalysis─the rate-relevant energy populations may deviate substantially from equilibrium Maxwell–Boltzmann statistics, and the bath temperature alone is therefore not a sufficient descriptor of reactivity, which can be traced in the work of Montroll and Shuler in 1957 (Montroll, E. W.; Shuler, K. E. Studies in Nonequilibrium Rate Processes. I. The Relaxation of a System of Harmonic Oscillators. The Journal of Chemical Physics 1957, 26 (3), 454−464. DOI: 10.1063/1.1743326). Here we extend a quantum-mechanical kinetic framework to quantify how photoexcitation and relaxation shape a nonequilibrium distribution over discrete molecular/surface states. We show that the effective energetic availability for barrier crossing, Ψ, becomes context dependent. This dependence is governed by intermolecular or adsorbate–surface interaction strengths and relaxation pathways. The resulting picture rationalizes why apparent eV-scale activation parameters can coexist with ambient bath temperatures. Our work thus introduces a model of context-dependent energy transduction, offering a new principle for understanding catalytic processes by bridging quantum energy scales with macroscopic kinetics.