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is commonly thought to be a high-energy change step, as evi-
denced by the energy profiles of hydroformylation for a range
Conclusions
[
8,21,22,25]
of substrates.
The change in free energy of the equilib-
Detailed analysis of the kinetics and mechanism of Rh-cata-
lyzed neohexene hydroformylation was performed for the
tris(2,4-di-tert-butylphenyl)phosphite ligand. The rate-limiting
step for both the linear and branched aldehydes was shown to
be the hydrogenolysis of the Rh–acyl species. Rate equations
were derived, and equation parameters were estimated within
very narrow confidence intervals by using nonlinear regression.
These estimates were used to predict the regioselectivity,
which was in good agreement with the experimental data.
Deuterioformylation and in situ IR spectroscopy experiments
were performed to reveal the reasons behind the increase in
linear aldehyde selectivity with increasing temperature.
rium between F and G should also be negative. We also know
that the difference in Gibbs free-energy changes is negative
(
DG ꢂDG’ <0), from which we can deduce jDG j > j
CG
CG
CG
DG’ j. So, a higher negative value of DG favors the forward
CG
reaction (C to G) of the linear path, even more so with increas-
ing temperature, because the entropy difference DS ꢂDS’ is
CG
CG
positive and increases the difference in Gibbs free-energy
changes with increasing temperature; as should be evident
from the expression given in Equation (16).
DGCG ꢂ DG0 ¼ DHCG ꢂ DH0 ꢂ TðDSCG ꢂ DS0CGÞ
ð16Þ
CG
CG
The deuterioformylation experiments showed that the for-
mation of both the linear and branched Rh–alkyl species was
reversible and that the reverse reaction was favored at higher
temperatures. This finding suggested that the entropy change
involved in Rh–alkyl formation was negative. At 1008C, linear
Rh–alkyl formation was more reversible than branched Rh–
alkyl formation, which implies the negative entropy change for
linear Rh–alkyl formation is larger than that for branched Rh–
alkyl formation: that is, the equilibrium for linear Rh–alkyl for-
mation (C to D) is more temperature sensitive than the equilib-
rium for branched Rh–alkyl (C to D’). High-pressure IR spectros-
copy experiments performed to investigate the linear and
branched Rh–acyl species (G and G’) showed an excess
amount of the linear Rh–acyl species relative to that of the
branched species. Moreover, the ratio of linear to branched
Rh–acyl increased with increasing temperature. These findings
suggest that the total forward reaction of non-common equi-
librium steps of the linear and branched catalytic cycles (C to
G and C to G’) are favored for the linear aldehyde over the
branched aldehyde.
It is now possible to obtain the values of the expressions
given in Equations (17) and (18) by using the data in Table 2
for linear regression of Equation (12). (Figure showing the
linear fit is given in Figure S3.)
ðDEFA ꢂ DH Þ ꢂ ðDE0 ꢂ DH0FGÞ
ð17Þ
FG
FA
DSFA ꢂ DS0 ꢂ DSFG þ DS0
ð18Þ
FA
FG
ꢂ1
Thus, (DE +DH )ꢂ(DE’ +DH’ )=DH ꢂDH’ =19 kJmol
FA
GF
FA
GF
GA
GA
ꢂ1
and DS ꢂDS’ +DS ꢂDS’ =DS ꢂDS’ =71 Jmol K. For
FA
FA
GF
GF
GA
GA
the formation of the activated state of the hydrogenolysis
[
26]
step, the entropy change should be positive. Garland et al.
#
ꢂ1 ꢂ1
reported an activation entropy of DS =(121ꢁ14) Jmol
K
for the hydrogenolysis step in neohexene hydroformylation
catalyzed by an unmodified Rh catalyst. A positive value for
the activation entropy suggests that the transition state is
highly unstable. Degrees of freedom are “liberated” in going
from the ground state to the transition state, which, in turn, in-
crease the rate of the reaction. The entropy change involved in
going from G to F or from G’ to F’ should also be positive, and
consequently, both DSGA and DS’GA are positive.
Furthermore, the reverse step of the equilibrium from G to F
and subsequent hydrogenolysis of linear acyl F was found to
have a larger enthalpy change than the branched equivalent
(G’ to F’ and hydrogenolysis of F’). The contribution of this
part of the cycle to the temperature dependence of regioselec-
tivity was approximately twice that from species C to G (and C
to G’). Finally, the larger positive entropy changes for both
mentioned parts of the linear aldehyde cycle make the linear
aldehyde the favored isomer under typical hydroformylation
conditions.
So, hydrogenolysis of five-coordinated linear Rh–acyl G
under typical hydroformylation conditions is faster than that of
branched isomer G’ although it has a higher activation energy
ꢂ1
(
DH ꢂDH’ =19 kJmol ) because it has a larger positive ac-
GA
GA
ꢂ1 ꢂ1
tivation entropy (DS ꢂDS’ =71 Jmol K ).
GA
GA
In summary, the part of the reaction cycle from species C to
G has a higher enthalpy change than the equivalent part in
ꢂ1
Experimental Section
the branched cycle, DH ꢂDH’ =9.7 kJmol . The hydroge-
CG
CG
nolysis of linear acyl G creates an enthalpy change that is
Semibatch reactions for kinetics were performed in custom-built
stainless steel autoclaves (100 mL) equipped with a mechanical
gas-impeller stirrer. H and CO concentrations were kept constant
2
ꢂ1
1
9 kJmol more than the change involved in the hydrogenol-
ꢂ1
ysis of branched acyl G’, DH ꢂDH’ =19 kJmol . The sum of
GA
GA
by using a mass flow controller that fed syngas (Linde Gas CO/H =
these two figures determines the temperature sensitivity of
2
ꢂ1
1:1, ꢃ99.998 vol%) to keep the reaction pressure and the pread-
the l/b ratio; this adds up to 28.7 kJmol , which was found as
justed CO/H ratio constant. Reaction temperature was monitored
2
the difference between the lumped activation energies for
during the reaction and was constant at the set temperature with
a maximum of 28C overshoot in the first minutes. A total reaction
volume of 10 mL (neohexene and toluene) was used for the kinetic
experiments and the maximum amount of neohexene used was
5.5 mL. A stirring rate of 1200 rpm was set for all kinetic experi-
linear and branched aldehydes, DE ꢂDE , as given in Equa-
Al
Ab
tion (8). The difference in the parts of the reaction cycle from
G to A and from G’ to A’ has a higher contribution to the tem-
perature dependence of regioselectivity.
ꢁ
2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
ChemCatChem 2014, 6, 603 – 610 609