Table 1 Characteristic time scales of excess-proton transfer dynamics.

From: Spectral signatures of excess-proton waiting and transfer-path dynamics in aqueous hydrochloric acid solutions

conc.

2 M

4 M

6 M

τTW [fs]

208 ± 6

229 ± 4

283 ± 4

\({\tau }_{{{{{{{{{\rm{Cl}}}}}}}}}^{-}}\) [fs]

241 ± 3

249 ± 3

231 ± 3

\({\tau }_{{R}_{{{{{{{{\rm{OO}}}}}}}}}}\) [fs]

81 ± 3

82 ± 2

86 ± 2

\({\tau }_{{{{{{{{\rm{TP}}}}}}}}}^{c}\) [fs]

14.08 ± 0.08

14.34 ± 0.05

14.10 ± 0.04

\({\tau }_{{{{{{{{\rm{TP}}}}}}}}}^{i}\) [fs]

12.65 ± 0.09

12.80 ± 0.05

12.74 ± 0.05

τNM [fs]

(11 ± 1) − (17 ± 1)

  1. The standard errors of the transfer-waiting time τTW and the transfer-path times \({\tau }_{{{{{{{{\rm{TP}}}}}}}}}^{i}\) and \({\tau }_{{{{{{{{\rm{TP}}}}}}}}}^{c}\) are estimated from the variances of the fitted distributions. The errors of the normal-mode times τNM, the oscillation time of the two flanking water molecules \({\tau }_{{R}_{{{{{{{{\rm{OO}}}}}}}}}}\) and the rattling time of chloride ions \({\tau }_{{{{{{{{{\rm{Cl}}}}}}}}}^{-}}\) are estimated from the resolution of the underlying spectra.
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