C O M M U N I C A T I O N S
rings. These effects contribute to the large insertion barrier. The
Zr-Cipso (2.34 Å) and CtC (1.26 Å) distances are only slightly
lengthened from the corresponding distances in C (2.23, 1.24 Å).
The 2-butyne is bound unsymmetrically (Zr-Calkyne ) 2.41, 2.78
Å). These results are consistent with an early transition state similar
to that found for the insertion of acetylene into Cp2ZrCH3 .
+ 10 NBO
analysis of the insertion transition state shows significant overlap
between the Zr-C σ bond and an alkyne π* orbital, but nearly no
overlap between the Cipso p orbital and the alkyne π* orbitals. In
addition, NBO analysis reveals an aryl-Zr interaction involving
overlap of the Cipso p orbital with a Zr acceptor orbital. This
interaction is analogous to the R-agostic interactions in alkene
insertion transition states for d0 metal alkyls.11
This work provides a quantitative picture of alkyne insertion in
a Cp2Zr(aryl)+ system. Alkyne insertion proceeds by reversible
alkyne binding and rate-limiting insertion. Observation of the alkyne
adduct is possible because the insertion barrier is high, owing to
the presence of an agostic interaction that stabilizes the alkyne
adduct and steric crowding between the aryl o-Me group and the
Cp rings that destabilizes the insertion transition state. This approach
may provide an opportunity to probe how the properties of the Cp2M
unit influence alkyne binding and insertion in Cp2M(aryl)+ species.
Figure 2. Free energy profile for conversion of A to D at -85 °C.
Experimental ∆G and ∆Gq values (kcal/mol) are: ∆Geq ) -1.2; ∆Gq
coord
) ca. 10.6 to 11.5; ∆Gqinsert ) 13.6. ∆Ginsert ) -29.3 kcal/mol (DFT).
implies that the exchange of bound and free alkyne (which is slow
on the NMR time scale) is much faster than alkyne insertion.
Second, the disappearance of the total of A and C in eq 3 obeys
first-order kinetics. These results are consistent with a pre-
equilibrium kinetic system, for which the rate law is given by eqs
4-6, where Keq ) [C][A]-1[B]-1 is the equilibrium constant for
alkyne binding,8 kobs is the first-order rate constant for the
disappearance of the total of A and C, and kinsert is the rate constant
for the insertion step. kobs equals kinsert scaled by the fraction of
metallocene that is in the reactive form ([C]/{[A] + [C]}; eq 5).
Acknowledgment. This work was supported by the National
Science Foundation (Grant CHE-0516950). We acknowledge the
Burroughs Welcome Fund Interfaces Cross-Disciplinary Training
Program for partial support of the computer cluster.
d([A] + [C])
Supporting Information Available: Experimental and computa-
tional details. This material is available free of charge via the Internet
rate )
) -kobs([A] + [C])
(4)
(5)
dt
Keq[B]kinsert
[C]kinsert
kobs
)
)
References
Keq[B] + 1 [A] + [C]
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[A] + [C]
[A]0 + [C]0
ln
) -kobs
t
(6)
(
)
The alkyne binding constant determined by NMR integration is
Keq ) 1.4(1) M-1 at -85 °C, which, when solvent is taken into
account, corresponds to ∆Geq ) -1.2 kcal/mol.8 The ∆Geq
estimated by DFT is -1.69 kcal/mol. This Keq value is lower than
that for 2-butyne coordination to Cp′2Zr(OtBu)+ (Keq ) 60 M-1
-85 °C, CD2Cl2).2a
,
The kobs value (2.1(2) × 10-4 s-1) was obtained by fitting the
concentration versus time data to eq 6. The rate constant for
insertion of C determined from Keq and kobs is kinsert ) 6.3(8) ×
10-4 s-1, which corresponds to an insertion barrier of ∆Gqinsert
)
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7986.
13.5(4) kcal/mol. The ∆Gqinsert determined by DFT is 13.6 kcal/
mol.
The barrier to alkyne coordination/decoordination was not
determined. However, the absence of exchange line broadening in
the NMR spectra of A and C, and the fact that the equilibrium
between A and C is maintained throughout the reaction to produce
D, imply that the barrier to conversion of A to C is between ca.
10.6-11.5 kcal/mol.9 For comparison, the barrier to coordination
of 2-butyne to Cp′2Zr(OtBu)(CD2Cl2)+ (CD2Cl2, -85 °C) is
10.5 kcal/mol.2a
A free energy diagram based on these results is given in Figure
2. In the calculated insertion transition state (TS), the aryl ring is
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the agostic interaction and brings the o-Me group close to the Cp
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[solvent], this expression reduces to eq 5. ∆Geq is based on K′eq
.
(9) The excess line width of A and C due to exchange is below the detection
limit (ca. 0.5 Hz) and the formation of A from C is assumed to be >10
times faster than the conversion of C to D.
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