Correlation of DEC Structure to Catalytic Rate
J. Am. Chem. Soc., Vol. 123, No. 28, 2001 6843
of C3-C6 unsaturated alcohols, which are structurally similar
to the allylic alcohols used here, differ only slightly.26 Accord-
ingly, it is appropriate to ascribe the differences in TOFs
discussed later to dendrimer-induced size selectivity rather than
to intrinsic properties of the substrates. Because the solubility
of substituted alcohols in H2O is not as great as in MeOH, a
MeOH-H2O (4:1, v/v) mixed solvent system was chosen to
maintain a homogeneous reaction mixture.
The composite catalysts used in this study are composed of
Pd(0) nanoclusters encapsulated within G4OH, G6OH, and
G8OH PAMAM dendrimers. In each case the DEC was
prepared using a Pd(II)-to-dendrimer ratio of 40. We expected,
and transmission electron microscopy confirmed, that following
reduction the average Pd(0) cluster size was independent of
dendrimer generation. Specifically, the encapsulated Pd(0)
nanoparticles had an average diameter and dispersity of 1.7 (
0.2 nm regardless of the dendrimer generation (see Supporting
Information).
between two O-H end groups (based on the van der Waals
surface of the outermost O atoms) in G4OH is 8.2 Å, while the
distance decreases to 5.4 Å for G6OH, and further to 3.2 Å for
G8OH. These data confirm that the “mesh size” of the dendrimer
“nanofilter” depends very sensitively on generation.
Molecular modeling was also used to calculate the free
volumes of the five substrates, which are as follows: (1) 60.7,
(2) 75.4, (3) 96.1, (4) 89.7, and (5) 103 Å3. It seems reasonable
that the substrates first penetrate into the dendrimer through
their hydroxyl groups, and therefore a good measure of substrate
size is the largest linear dimension perpendicular to the O-H
bond direction of the allylic alcohols. For substrates 1-5, these
values are 5.5, 7.0, 7.5, 7.0, and 8.0 Å, respectively. The results
of the molecular modeling parameters (substrate size and
dendrimer pore size) correlate well to the experimental data for
all three dendrimer generations (Table 1), except for substrate
4, which is smaller than 3 and has a smaller TOF. This suggests
that the model described by Scheme 1, which is based solely
on stationary steric considerations, is fairly good but does not
predict all of the experimental data correctly. Apparently there
are chemical and more complex structural aspects of the
substrate that must be taken into account to fully resolve this
issue, and therefore additional experiments are underway to
further refine the model proposed here.
It is interesting to compare hydrogenation rates for the same
substrate when different generation dendrimers encapsulate the
Pd(0) nanoparticle. Table 1 shows that there is a clear trend in
this regard: the lower generation DECs, with just two excep-
tions, result in the highest TOFs. In addition, for substrates 1-3
there is a much larger decrease in TOF when the generation
changes from G6 to G8 than for the change between G4 and
G6. These observations correlate well with the average distance
between terminal groups of the dendrimers (vide supra: G4OH,
8.2 Å; G6OH, 5.4 Å; G8OH, 3.2 Å). That is, when the
dendrimer generation increases to 8, the average distance
between terminal groups (3.2 Å) is significantly less than the
critical dimension of the substrates (range: 5.5-8.0 Å, vide
supra). Thus, because the dendrimer porosity can be controlled
by varying either the generation, as in this study, or the bulkiness
of the peripheral functional groups, it is possible to prepare
selective catalysts using as a first approximation the very simple
concept of steric crowding on the dendrimer surface.
We previously reported TOF values for 1 in water only (Table
1),2 and these rates are generally smaller than in the mixed
MeOH-H2O solvent used here. Unfortunately, it was not
possible to perform a thorough comparison of the reaction rates
of all five substrates in both solvent systems due to the limited
solubility of most of the substrates and products in pure water.
However, allyl alcohol (1) and its hydrogenation product are
both appreciably soluble in H2O. The TOFs of G4OH/Pd(0)40,
G6OH/Pd(0)40, and G8OH/Pd(0)40 for the hydrogenation of
allyl alcohol in water are 220, 200, and 130 mol H2(mol Pd)-1
h-1, respectively. In contrast, we found the maximum TOFs
for allyl alcohol hydrogenation in the mixed MeOH-H2O
solvent to be greater by about a factor of 2 for G4OH/Pd(0)40
and G6OH/Pd(0)40, but nearly the same for G8OH/Pd(0)40.
This result is consistent with previous findings that solvent plays
an important role in determining hydrogenation reaction rate at
colloidal nanoparticles.31,32 For example, the hydrogenation of
the ethyl ester of mandelic acid in ethanol is much faster than
The rate of hydrogenation for the five allylic alcohol
substrates (1-5) in the presence of the three catalysts was
determined by H2 uptake (Table 1). Turnover frequencies (TOFs,
mol of H2 per mol of Pd(0) per h) in the mixed solvent ranges
from 40 to 480 depending on the dendrimer generation and
substrate. Qualitatively, Table 1 indicates that for a particular
catalyst (dendrimer generation) the TOFs generally decrease as
the substrates become bulkier. For example, the maximum TOF
for the G4OH/Pd(0)40 catalyst for the hydrogenation of allyl
alcohol (1) was 480 mol H2(mol Pd)-1 h-1. This reaction rate
is comparable to that obtained using polymer-supported Pd(0)
catalysts in methanol (565 mol H2(mol Pd)-1 h-1 27
and
)
PAMAM encapsulated Pd(0) in fluorous-phase solvent (400 mol
H2(mol Pd)-1 h-1).25 A substrate having one R methyl group,
3-buten-2-ol (2), yielded a slightly lower TOF. When the methyl
group was changed to ethyl (3), the reaction rate decreased
further to 260 mol H2(mol Pd)-1 h-1. This trend continues when
two methyl groups are present at the R position (4) and when
both a methyl and an ethyl group are present at the R position
of the substrate (5). Overall, the TOF for the bulkiest substrate
(5) was nearly 5 times lower than the smallest (1). The same
trend was found for the G6OH/Pd(0)40 and G8OH/Pd(0)40
catalysts.
It is possible to correlate these experimental data to a
semiquantitative structural model of the dendrimer and in
particular to the average distance between functional groups on
the periphery of the dendrimer. That is, if we make the following
five assumptions, then the distance between adjacent terminal
groups for the different generation dendrimers can be calculated
using appropriate molecular models (see Experimental Sec-
tion): (1) the dendrimers are spheroidal in shape;28 (2) all of
the terminal groups are located at the surface of the den-
drimer;28,29 (3) the terminal C-O bonds are perpendicular to
the dendrimer surface with equal distances among adjacent
oxygen atoms; (4) the diameters of the G4OH, G6OH, and
G8OH dendrimers are 4.5, 6.7, and 9.7 nm, respectively;30 and
(5) the number of terminal hydroxyl groups for G4OH, G6OH,
and G8OH are 64, 256, and 1024, respectively. Using these
assumptions, the calculated average edge-to-edge distance
(26) Kacer, P.; Novak, P.; Cerveny, L. Collect. Czech. Chem. Commun.
2000, 65, 9-16.
(27) Selvaraj, P. C.; Mahadevan, V. J. Polym. Sci., Part A: Polym. Chem.
1997, 35, 105-122.
(28) Tomalia, D. A.; Naylor, A. M.; III, W. A. G. Angew. Chem., Int.
Ed. Engl. 1990, 29, 138-175.
(31) Augustine, R. L.; Warner, R. W.; Melnick, M. J. J. Org. Chem.
1984, 49, 4853-4856.
(32) Sulman, E.; Bodrova, Y.; Matveeva, V.; Semagina, N.; Cerveny,
L.; Kurtc, V.; Bronstein, L.; Platonova, O.; Valetsky, P. Appl. Catal., A
1999, 176, 75-81.
(29) Topp, A.; Bauer, B. J.; Klimash, J. W.; Spindler, R.; Tomalia, D.
A.; Amis, E. J. Macromolecules 1999, 32, 7226-7231.
(30) Information provided by Dendritech, Inc.; Midland; MI.