Table 1.

Characteristic time scales of excess-proton transfer dynamics.

conc.	2 M	4 M	6 M
τTW [fs]	208 ± 6	229 ± 4	283 ± 4
${\tau }_{{\mathrm{Cl}}^{-}}$ [fs]	241 ± 3	249 ± 3	231 ± 3
${\tau }_{R_{\mathrm{OO}}}$ [fs]	81 ± 3	82 ± 2	86 ± 2
${\tau }_{\mathrm{TP}}^c$ [fs]	14.08 ± 0.08	14.34 ± 0.05	14.10 ± 0.04
${\tau }_{\mathrm{TP}}^i$ [fs]	12.65 ± 0.09	12.80 ± 0.05	12.74 ± 0.05
τNM [fs]	(11 ± 1) − (17 ± 1)

The standard errors of the transfer-waiting time τ_TW and the transfer-path times ${\tau }_{\mathrm{TP}}^i$ and ${\tau }_{\mathrm{TP}}^c$ are estimated from the variances of the fitted distributions. The errors of the normal-mode times τ_NM, the oscillation time of the two flanking water molecules ${\tau }_{R_{\mathrm{OO}}}$ and the rattling time of chloride ions ${\tau }_{{\mathrm{Cl}}^{-}}$ are estimated from the resolution of the underlying spectra.