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Why Does D 2 Bind Better Than H 2 ? A Theoretical and Experimental Study of the Equilibrium Isotope Effect on H 2 Binding in a M(η 2 -H 2 ) Complex. Normal Coordinate Analysis of W(CO) 3 (PCy 3 ) 2 (η 2 -H 2 )

1997; American Chemical Society; Volume: 119; Issue: 39 Linguagem: Inglês

10.1021/ja971009c

1943-2984

Bruce R. Bender, Gregory J. Kubas, Llewellyn H. Jones, Basil I. Swanson, Juergen Eckert, Kenneth B. Capps, Carl D. Hoff,

Radioactive element chemistry and processing

Vibrational data (IR, Raman and inelastic neutron scattering) and a supporting normal coordinate analysis for the complex trans-W(CO)3(PCy3)2(η2-H2) (1) and its HD and D2 isotopomers are reported. The vibrational data and force constants support the well-established η2-bonding mode for the H2 ligand and provide unambiguous assignments for all metal−hydrogen stretching and bending frequencies. The force constant for the HH stretch, 1.3 mdyn/Å, is less than one-fourth the value in free H2 and is similar to that for the WH stretch, indicating that weakening of the H−H bond and formation of W−H bonds are well along the reaction coordinate to oxidative addition. The equilibrium isotope effect (EIE) for the reversible binding of dihydrogen (H2) and dideuterium (D2) to 1 and 1-d2 has been calculated from measured vibrational frequencies for 1 and 1-d2. The calculated EIE is "inverse" (1-d2 binds D2 better than 1 binds H2), with KH/KD = 0.78 at 300 K. The EIE calculated from vibrational frequencies may be resolved into a large normal mass and moment of inertia factor (MMI = 5.77), an inverse vibrational excitation factor (EXC= 0.67), and an inverse zero-point energy factor (ZPE = 0.20), where EIE = MMI × EXC × ZPE. An analysis of the zero-point energy components of the EIE shows that the large decrease in the HH stretching frequency (force constant) predicts a large normal EIE but that zero-point energies from five new vibrational modes (which originate from translational and rotational degrees of freedom from hydrogen) offset the change in zero-point energy from the H2(D2) stretch. The calculated EIE is compared to experimental data obtained for the binding of H2 or D2 to Cr(CO)3(PCy3)2 over the temperature range 12−36 °C in THF solution. For the binding of H2 ΔH = −6.8 ± 0.5 kcal mol-1 and ΔS = −24.7 ± 2.0 cal mol-1 deg-1; for D2 ΔH = −8.6 ± 0.5 kcal/mol and ΔS = −30.0 ± 2.0 cal/(mol deg). The EIE at 22 °C has a value of KH/KD = 0.65 ± 0.15. Comparison of the equilibrium constants for displacement of N2 by H2 or D2 in the complex W(CO)3(PCy3)2(N2) in THF yielded a value of KH/KD = 0.70 ± 0.15 at 22 °C.