The rotational relaxation times of perchlorate ion,
τ2r, in 15 solvents and at various temperatures were
determined
from the measurements of the 17O NMR spin−lattice
relaxation times. The obtained τ2r values were
much
smaller than those predicted from the hydrodynamic model
(Stokes−Einstein−Debye, SED, equation).
Comparison between the observed solvent dependence of the
τ2r value and those predicted by the
continuum
models, including the SED hydrodynamic model, the
Hubbard−Onsager−Felderhof (HOF) electrohydrodynamic model, and the Alavi−Waldeck (AW) dielectric friction model for
multipole rotation, demonstrated
that solvent viscosity is an expedient indicator for representing the
overall trend of the solvent dependence
of the rotational relaxation time; the observed τ2r
values showed a fractional power dependence on the
viscosity
(i.e., τ2r ∝ ηα, where α ∼ 0.25 and
η is the solvent viscosity). Site−site interactions between
the perchlorate
ion and solvent molecules, however, provided a significant effect on
the perchlorate rotation in some solvents
with a large imbalance of the electronic donor and acceptor properties
(e.g., hexamethylphosphoric triamide).
The values for τ2r calculated for alcohols
(methanol, ethanol, and n-propanol) according to the HOF and
the
AW models were appreciably overestimated to a greater degree than those
in the other solvents, and this
result was ascribed to a predominant contribution from the interactions
with the hydroxyl groups of the alcohols.
The result of the analysis for the solvent dependence of the
perchlorate rotation by the electrohydrodynamic
model was also compared with that for the perchlorate translation, and
the difference in the validity of the
continuum models for the ionic rotation and the translation was
discussed.