The kinetic and thermodynamic properties of the concerted double proton transfer reaction in GC: the reaction energy, ΔG, the respective forward and reverse barrier heights, ΔG‡f and ΔG‡r (kcal mol−1), and the equilibrium constant, K. Mean values are calculated from the QM/MM-ensemble using the B3LYP-XDM/aug-cc-pvdz/AMBER method at 300 K. The respective forward and reverse rate coefficients kf and kr (s−1), and the half-life (t1/2) of the G*C* tautomer (s) are calculated using only the replicas from the QM/MM ensemble that have positive reverse Gibbs energy barriers (E−x, 7 out of 17 replicas; E0, 2 out of 3 replicas; and E+x, 0 out of 1 replica). The applied field strengths are at 1.00 × 109 V m−1. The standard deviation is denoted by σ (where σ = ‘—’, the sample size consists of a single replica).
Concerted DPT | ΔG‡f | ΔG‡r | ΔG | K × 10−9 | t 1/2 × 10−12 | k f × 104 | k r × 1012 | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Mean | σ | Mean | σ | Mean | σ | Mean | σ | Mean | σ | Mean | σ | Mean | σ | |
E −x | 12.79 | 1.18 | 0.38 | 1.08 | 12.42 | 1.52 | 26.2 | 68.3 | 1.42 | 1.68 | 6.81 | 11.2 | 2.41 | 2.07 |
E 0 | 12.46 | 1.86 | 1.01 | 1.45 | 11.44 | 0.61 | 7.99 | 8.09 | 4.57 | 6.29 | 0.53 | 0.71 | 2.75 | 3.78 |
E +x | 11.33 | — | −0.86 | — | 12.19 | — | 1.32 | — | — | — | — | — | — | — |