M. Rosales et al. / Journal of Molecular Catalysis A: Chemical 270 (2007) 250–256
255
In the cycle described in Fig. 2, if the CO-promoted migration
of the hydride to the olefin is assumed to be the rds, a rate-law can
be derived by applying the equilibrium approximation. Taking
into account that the overall hydroformylation rate is given by
the rate of this step, the rate equation may be expressed as:
controlled by concentrations of gaseous reactants that influence
the reaction rates. On the basis of these results, a catalytic cycle
is proposed for this reaction, in which [M(H)2(CO)(PPh3)2]PF6
is considered the active species, and the migration of the hydride
ligand to the olefin is the rate determining step.
ri = k4[5][CO]
(1)
Acknowledgements
Considering the equilibria K1, K2 and K3, [3] = K1[2][H2]/
[CO], [4] = K1K2[2][H2]/[CO]2, and [5] = K1K2K3[2][olef]
[H2]/[CO]2, we have:
Financial support from FONACIT for Project CONIPET 97-
3777, Programa CYTED Project V.9, and Consejo de Desarrollo
´
´
Cientıfico y Humanıstico (CONDES) of the Universidad del
K1K2K3k4[2][olef][H2]
Zulia (L.U.Z.) for the acquisition of a gas chromatograph are
ri =
(2)
[CO]
´
gratefully acknowledged. We thank Dr. Ysaıas Alvarado for his
valuable help to record the IR spectra.
Assuming that 6 and 7 are rapidly transformed to 4, the mass
balance for the metal is [M]o = [2] + [3] + [5] and therefore, the
References
[M]o[CO]2
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[2] =
(3)
[CO]2 + K1[H2][CO] + K1K2K3[olef][H2]
Substituting [2] in Eq. (2) allows us to rewrite the rate expres-
sion as:
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K1K2K3k4
[CO]2K1[H2][CO] + K1K2K3[olef][H2]
× [M]o[olef][H2][CO]
ri =
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(4)
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K1K2K3k4
ri =
[M]o[olef][H2]
(5)
[CO] + K1[H2]
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