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(a) Alkorta, J.; Elguero, J. J. Chem. Soc., Perkin Trans, 2 1988, 2497.
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24
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0000169077
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The results of high quality ab initio calculations on this reaction also provide activation enthalpies that agree well with experiment. Jiao, H.; Schleyer, P. von R. J. Chem. Soc., Faraday Trans. 1994, 90, 1559.
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79954585410
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Semiempirical calculations have found that tunneling has a significant effect on the activation parameters for this reaction. Liu, Y.-P.; Lynch, G. C.; Truong, T. N.; Lu, D.-H.; Truhlar, D. G.; Garrett, B. C. J. Am. Chem. Soc. 1993, 115, 2408. Either the agreement of the B3LYP7a,9 and ab initio10 activation enthalpies, which did not include tunneling corrections, with the experimental values is fortuitous, or tunneling has a much smaller effect on the activation enthalpies than is indicated by these semiempirical calculations, which did include tunneling corrections.
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32
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4043056721
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note
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Inclusion of the polarization functions on hydrogen in the 6-31G** basis set was found to have only a small effect on the computed enthalpy of activation for a degenerate 1,5-hydrogen shift in 1, lowering the calculated value by just 0.6 kcal/mol.
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33
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0004133516
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Gaussian, Inc.: Pittsburgh PA
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Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Zakrzewski, V. G.; Montgomery, J. A., Jr.; Stratmann, R. E.; Burant, J. C.; Dapprich, S.; Millam, J. M.; Daniels, A. D.; Kudin, K. N.; Strain, M. C.; Farkas, O.; Tomasi, J.; Barone, V.; Cossi, M.; Cammi, R.; Mennucci, B.; Pomelli, C.; Adamo, C.; Clifford, S.; Ochterski, J.; Petersson, G. A.; Ayala, P. Y.; Cui, Q.; Morokuma, K.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.; Cioslowski, J.; Ortiz, J. V.; Baboul, A. G.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.; Gomperts, R.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Gonzalez, C.; Challacombe, M.; Gill, P. M. W.; Johnson, B. G.; Chen, W.; Wong, M. W.; Andres, J. L.; Head-Gordon, M.; Replogle E. S.; Pople, J. A. Gaussian 98, revision A.7; Gaussian, Inc.: Pittsburgh, PA, 1998.
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Malick, D.K.30
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Cioslowski, J.34
Ortiz, J.V.35
Baboul, A.G.36
Stefanov, B.B.37
Liu, G.38
Liashenko, A.39
Piskorz, P.40
Komaromi, I.41
Gomperts, R.42
Martin, R.L.43
Fox, D.J.44
Keith, T.45
Al-Laham, M.A.46
Peng, C.Y.47
Nanayakkara, A.48
Gonzalez, C.49
Challacombe, M.50
Gill, P.M.W.51
Johnson, B.G.52
Chen, W.53
Wong, M.W.54
Andres, J.L.55
Head-Gordon, M.56
Replogle, E.S.57
Pople, J.A.58
more..
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34
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4043175766
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note
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Optimized geometries and electronic energies of reactants and TSs are available as Supporting Information.
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35
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4043077985
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note
-
1 should allow the experimental determination of this activation enthalpy. Measurement of the activation enthalpy for the rearrangement of 2e to 2a would then provide the enthalpy difference between these two isomers.
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-
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36
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4043133294
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note
-
In 2b and 2c, the cisoid and transoid conformations are both expected to be appreciably populated at the temperatures necessary for convenient rate studies; so the measured enthalpy of activation should actually be a population-weighted average of the enthalpies of activation for each of these conformers.
-
-
-
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38
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4043175767
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note
-
(b) The Marcus equation actually predicts that the average activation enthalpy should be greater than the intrinsic barrier by the square of the exothermicity, divided by 16 times the intrinsic barrier. However, this quotient amounts to only about 0.1 kcal/ mol.
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40
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37049106084
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(b) Davies, A. G.; Griller, D.; Ingold, K. U.; Lindsay, D. A.; Walton, J. C. J. Chem. Soc., Perkin Trans. 2 1981, 633.
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Davies, A.G.1
Griller, D.2
Ingold, K.U.3
Lindsay, D.A.4
Walton, J.C.5
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42
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0001337570
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(d) Clark, K. B.; Culshaw, P. N.; Griller, D.; Lossing, F. P.; Martinho-Simoes, J. A.; Walton, J. C. J. Org. Chem. 1991, 56, 5535.
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Walton, J.C.6
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0000203357
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Doering, W. von E.; Toscano, V. G.; Beasley, G. H. Tetrahedron 1971, 27, 5299.
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Tetrahedron
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Beasley, G.H.3
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44
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4043076514
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note
-
Assuming that resonance structure C in Figure 5 represents the transfer of a hydrogen atom from C1 to C5 in the nodal plane of the allylic radical, Doering has used thermochemistry to estimate that this structure lies only a little more than 30 kcal/mol above the TS for a concerted 1,5-hydrogen shift in 1 and ca. 20 kcal/mol below the pentadienyl radical plus hydrogen atom in resonance structure A.26 B3LYP/6-31G* calculations give similar results, placing diradical C 27.7 kcal/mol above the TS and 20.1 kcal/mol below pentadienyl radical plus a hydrogen atom.
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45
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4043162937
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manuscript submitted for publication
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Doering, W. von E.; Keliher, E. J.; Zhao, X., manuscript submitted for publication, We are indebted to Professor Doering for sending us a preprint.
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Doering, W.V.E.1
Keliher, E.J.2
Zhao, X.3
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47
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0347847757
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(b) Ellison, G. B.; Davico, G. E.; Bimbaum, V. M.; DePuy, C. H. Int. J. Mass Spectrom. Ion Processes 1996, 156, 109.
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Ellison, G.B.1
Davico, G.E.2
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DePuy, C.H.4
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