marized in Table S1 (Supporting Information). The influ-
ence of the solvent on the value of kH (sꢀ1) that covers a
range of 106–108 for both compounds can be separated into
bulk effects and specific solvent effects.
One effect of the solvent is referred to the influence of
the bulk viscosity hsolv. In particular, plots of 1/kH are linear
with the viscosity, provided that different solvent classes are
analyzed separately. This is shown in Figure 1 for five alco-
hol solvents and three chlorohydrocarbons. Strikingly, ster-
eoselection between 1a and 1b seems to be insignificant in
chlorohydrocarbon solutions (SD <1.3ꢁ0.3; circles in
Figure 1), whereas alcohol solvents give rise to significant
selectivity (SD ꢂ3.0ꢁ0.3; squares in Figure 1).
Scheme 2. Kinetic schemes of the intramolecular H-atom transfer in a) a
two-step mechanism and b) a three-step mechanism including H-bonding
to the solvent.
should give rise to similar stereoselectivity. However, experi-
ments in other low-permittivity solvents like pyridine and
1,4-dioxane exhibit a significant stereoselection (3.0<SD <
4.0) together with a substantial decline of the overall reac-
tivity. This is in stark contrast to the results obtained for the
chlorohydrocarbons. Although we cannot rule out bulk sol-
vent effects on the molecular conformation, we attribute the
failure of equation of Equation (1) to adequately describe
the quenching data in alcohol solvents to neglected specific
solvent–solute interactions.
The importance of specific solvent–solute interactions as a
source of kinetic solvent effects is borne out by a linear free
energy relationship with a solvation-parameter model intro-
duced by Abraham et al. [Eq. (2)].[9] The solvent descriptors
are the solventꢁs dipolarity/dipolarizability p2H, the solventꢁs
effective hydrogen-bond acidity Sa2H, and the solventꢁs ef-
fective hydrogen-bond basicity Sb2H. The respective data are
compiled in Table S1 (Supporting Information). The rate
constants for HAT of 1a,b in twelve solvents (three highly
viscous alcohols were not considered) were subjected to
multi-linear regression in terms of Equation (2). The fit-pa-
rameters are given in Equations (3) and (4). Error analysis
in terms of reduced c2 gave values of 2.41 and 4.34 for 1a
and 1b, respectively. It is noted, that these values substan-
tially improve (reduced c2 ꢂ1.6) when data for ethanol and
benzonitrile are not considered. A plot of the fitted rate
constants versus the experimental rate constants is convinc-
ingly linear with a slope of 0.98ꢁ0.03 (Figure S1, Support-
ing Information).
Figure 1. Viscosity dependence of the reciprocal H-atom transfer rate
constants; squares: alcoholic solvents; circles: chlorohydrocarbon sol-
vents; lines: linear fits to the data.
Scheme 2a serves to rationalize the viscosity dependence
of the decay of 2 within a two-step kinetic model. Therein
k0H is the rate constant of the elementary HAT step. KDyn
=
kfDyn/kbDyn denotes the molecular-dynamics equilibrium be-
tween folded and extended conformations of the dyads (2fold
and 2ext). The rate constants of folding and unfolding, kfDyn
and kbDyn, carry a viscosity dependence. A similar model has
been found adequate to describe the viscosity dependence
of intramolecular quenching of excited tryptophan by
remote cysteine.[7]
1
kH
1
1
1
hsolv
f0
¼
þ
¼
þ
ð1Þ
KDyn ꢃ k0H kfDyn KDyn ꢃ k0H
k
H
H
H
Dyn
ð2Þ
ð3Þ
ln kH ¼ ln k0þsp2 þaSa2 þbSb2
H
In terms of Equation (1) the striking difference between
the intercepts of the “chlorohydrocarbon” and the “alcohol”
plots might be attributed to a substantial impact of the sol-
vent on the molecular conformation, that is, on the equilibri-
um KDyn. Such an effect on the equilibrium conformation is
well established for the side-chain rotamers of aromatic
amino acids, that are sensitive to the bulk solvent permittivi-
ty,[8] and has been recently found to apply also for a set of
structurally related dyads.[4] Provided that this is an impor-
tant factor, solvents of similar viscosity and permittivity
ln kH ð1 aÞ ¼ 18:50ðꢁ0:13Þꢀ0:15ðꢁ0:17Þp2
H
H
ꢀ0:69ðꢁ0:21ÞSa2 ꢀ4:86ðꢁ0:17ÞSb2
H
ln kH ð1 bÞ ¼ 18:62ðꢁ0:18Þꢀ0:15ðꢁ0:23Þp2
ꢀ0:41ðꢁ0:28ÞSa2 ꢀ3:06ðꢁ0:22ÞSb2
ð4Þ
H
H
The fits essentially predict identical HAT rate constants k0
in the absence of solvent effects for both dyads. The fit pa-
rameters s, a, and b are all of negative sign, that is, the inter-
3062
ꢀ 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Eur. J. 2009, 15, 3061 – 3064