An Example of Enthalpy−Entropy Compensation
A R T I C L E S
M-1 s-1, which is approximately 7-fold lower than those for
monolayers that present the quinone in an accessible environ-
ment.
quinone requires either that the transition-state complex is less
ordered or the reactants are more ordered as compared to
reaction of the accessible quinone. We favor the explanation
that the transition state is less ordered, because it is more
consistent with the larger ∆Hq that accompanies reaction of the
buried quinone. As we suggested above, the hydroxyl-terminated
alkanethiolates surrounding the buried quinone groups can
prevent optimal alignment of the two π systems, thereby relaxing
the requirement for strict alignment of the two molecules. We
must note that these explanations do not address roles that the
solute molecules near the interface can play, which could easily
dominate changes in ∆Sq. A sophisticated understanding of
interfacial solvation, however, is still lacking due to limited
experimental techniques that can assess interfacial properties,
and therefore it is not yet possible to fully interpret activation
parameters for interfacial reactions.18
It is important to recognize that although the monolayer
substrates are structurally well-ordered, they do in practice
contain defects and display conformational dynamics at the
surface, which can lead to structures that deviate from the
idealized structures commonly shown in figures. At the same
time, they are sufficiently ordered that modest changes in
structure, including changing the relative positions of reactive
groups and neighboring groups by a single methylene unit, can
have a significant influence on the reaction. To gain support
that the differences in reactivity observed in this work were
due primarily to changes in the relative position of the quinone
relative to the interface, we determined the rate constant for
reaction with a monolayer presenting quinone groups on a short
alkanethiolate (C6) and surrounded by a short hydroxyl-
terminated alkanethiolate [S(CH2)6OH]. Indeed, we found that
the rate constant was similar to that for the C11 quinone
described above. As we noted above, the reaction of monolayers
presenting the quinone group above the interface (C11-C14)
proceeded to completion with a uniform rate constant, whereas
reaction of monolayers presenting the quinone group below the
interface showed deviations in rate as the reaction progressed.
This result suggests that, for the latter case, the product exerts
a steric influence on unreacted quinone groups.
This paper describes studies of the relationship between the
rate constant for an interfacial Diels-Alder reaction and the
accessibility of the immobilized dienophile. This work used self-
assembled monolayers of alkanethiolates on gold as a model
substrate to vary the position of a benzoquinone group within
the monolayer and found a modest effect of the environment
on the rate constant for reaction. A mechanistic analysis of these
rates showed that the enthalpy of activation was strongly
dependent on the environment but was largely masked by a
compensating entropy of activation. This work is significant
because it provides an example that illustrates the importance
of steric factors in interfacial reactions. This type of steric effect,
which is due to the structure of the interface, does not have an
analogue in corresponding solution-phase reactions. The system
used in this work has the additional significance that it permits
quantitative studies of reaction kinetics at a level that has
previously only been possible with reactions that take place in
We had expected to observe a larger difference in rate
constants for monolayers that varied the position of the quinone
groups relative to the hydroxyl groups. To investigate the
mechanistic basis for the modest change in rate constant, we
determined the activation parameters for two monolayers: one
that presented the quinone above the interface (C13) and one
that positioned the quinone below the interface (C9). This
experiment showed that the enthalpies and entropies of activa-
tion were very different for the two cases and that these
differences compensated one another to give similar free
energies of activation (∆Gq). The reaction of cyclopentadiene
with the accessible quinone had an enthalpy of activation (∆Hq)
of 5.5 kcal/mol. This value is consistent with (but on the lower
end of) values found for analogous Diels-Alder reactions in
solution.17 The interfacial reaction with the buried quinone (C9)
had a ∆Hq of 9.8 kcal/mol, a value that is 4 kcal/mol higher
than that for C13. This enthalpic penalty for the buried system
is likely due to the following two reasons. First, the steric
environment imposed by the dense-packed alkanethiolates likely
prevents optimal alignment and orientation of diene with the
dienophile, leading to less overlap between the two reacting
π-systems in the transition state. Second, the approach of the
diene to the quinone group within the monolayer likely requires
that the alkanethiolates surrounding the quinones undergo
conformational changes to introduce gauche interactions. It is
also possible that the activation parameters are influenced by
changes in the local dielectric constant (which should be lower
for the buried quinone), but we would expect this effect to be
minimal because the concerted Diels-Alder reaction proceeds
with little charge separation in the transition state. In any case,
the ∼4 kcal/mol difference in ∆Hq for the two reactions, in the
event that there was no change in ∆Sq, would correspond to a
1000-fold difference in rate constants.
The entropies of activation (∆Sq) for the two monolayers,
however, differed by a magnitude that negated much of the
enthalpic penalty incurred by the buried quinone. For the
monolayer that presents the quinone above the interface (C13),
the ∆Sq was -44 eu, a value that is slightly more unfavorable
than analogous Diels-Alder reactions in solution.17 Monolayers
having the quinone group in a crowded environment (C9), by
contrast, had a ∆Sq of -31 eu, a value that is less unfavorable
than analogous solution-phase reactions. In both cases, the
negative values of ∆Sq reveal that the transition-state complexes
are more ordered than the reactants, which is due to a required
specific alignment of the π systems in the Diels-Alder reaction.
The smaller negative value of ∆Sq for reaction of the buried
quinone shows that two molecules undergo less ordering in the
transition state than they do in reaction of the accessible quinone.
This smaller absolute value of ∆Sq for reaction of the buried
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J. J.; Weber, K. S.; Hockett, L. A.; Creager, S. E. J. Phys. Chem. B 2000,
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E.; Miller, C. J. J. Phys. Chem. 1995, 99, 14500-14505. (d) Lee, S.; Puck,
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Sauer, J. Tetrahedron Lett. 1986, 27, 1285-1288. (c) Sauer, J.; Sustmann,
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M. Langmuir 2000, 16, 5849-5852. (b) Kim, J.; Cremer, P. S. J. Am.
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