Secondary Deuterium Kinetic Isotope Effects in the Rotations of Alkenes and Allyl Radicals: Theory and Experiment
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Secondary deuterium kinetic isotope effects (KIEs) associated withrestricted rotation about the C-Cbonds of ethylene, propene, and allyl radical substituted by H or Dwere calculated. Geometries and force constantsof ground states and transition states were obtained by abinitio MCSCF calculations with the 6-31G* and/or6-311G**basis sets. The KIEs were then calculated from the partitionfunctions for the Bigeleisen equation. The"rotational"KIEs are predicted to be larger than typical secondary KIEs. Forsimple alkenes, predictedkH/kD values rangefrom1.32-1.46 at 25 C to 1.15-1.25 at 275 C. Predictedvalues are compared with existing experimental results.Asa test of our prediction that high-temperature alkene isomerizationsshould display large KIEs, samples of cis-stilbene and ,'-dideuterio-cis-stilbene were pyrolyzed;the measured KIE was a remarkablekH/kD2 = 1.47 ±0.13(n) at 287 C.

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