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A seminal report:, Note, however, that most studies to date have not included full-sized enzyme models; for those that have, see: J. Am. Chem. Soc. 2010, 132, 6349-6360
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A seminal report: Hess, B. A., Jr. J. Am. Chem. Soc. 2002, 124, 10286-10297 Note, however, that most studies to date have not included full-sized enzyme models; for those that have, see: Weitman, M.; Major, D. T. J. Am. Chem. Soc. 2010, 132, 6349-6360
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79952599016
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Theoretical Studies on Farnesyl Cation Cyclization. 8. For part 7, see ref 2d. For reviews with leading references to theoretical work (by us and others) on closely related systems, see ref 3a,3b.
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Theoretical Studies on Farnesyl Cation Cyclization. 8. For part 7, see ref 2d. For reviews with leading references to theoretical work (by us and others) on closely related systems, see ref 3a,3b.
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Cane, D.E.6
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27
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79952584241
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Note that the reactions that involve these two putative secondary cations are different than those associated with the "triple shifts" mentioned above. (4)
-
Note that the reactions that involve these two putative secondary cations are different than those associated with the "triple shifts" mentioned above. (4)
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0000189651
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All calculations were performed with GAUSSIAN03 (Gaussian03, revision D.01, Gaussian, Inc.: Pittsburgh, PA, full reference in the Supporting Information). Structures were optimized using the B3LYP/6-31+G(d,p) method (1993, - 5652.
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All calculations were performed with GAUSSIAN03 (Frisch, M. J. Gaussian03, revision D.01, Gaussian, Inc.: Pittsburgh, PA, 2003, full reference in the Supporting Information). Structures were optimized using the B3LYP/6-31+G(d,p) method (Becke, A. D. J. Chem. Phys. 1993, 98, 5648 - 5652.
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11627). Previous studies have suggested that the B3LYP method performs well in predicting geometries and reactivity of carbocations, and results using this method have been compared with other DFT and non-DFT methods (e.g., ref 3c,3e). We also report mPW1PW91/6-31+G(d,p)//B3LYP/6-31+G(d,p) energies, which compensate for a well-known tendency of B3LYP to underestimate the stability of cyclic structures compared to acyclic isomers (e.g., ref 3c and: Org. Biomol. Chem. 2006, 4, 530 - 543). Stationary points were characterized by frequency calculations and reported energies include B3LYP/6-31+G(d,p) zero-point energy corrections. Intrinsic reaction coordinate (IRC) calculations were used for further characterization of all transition-state structures
-
Stephens, P. J.; Devlin, F. J.; Chabalowski, C. F.; Frisch, M. J. J. Phys. Chem. 1994, 98, 11623 - 11627). Previous studies have suggested that the B3LYP method performs well in predicting geometries and reactivity of carbocations, and results using this method have been compared with other DFT and non-DFT methods (e.g., ref 3c,3e). We also report mPW1PW91/6-31+G(d,p)// B3LYP/6-31+G(d,p) energies, which compensate for a well-known tendency of B3LYP to underestimate the stability of cyclic structures compared to acyclic isomers (e.g., ref 3c and: Matsuda, S. P. T.; Wilson, W. K.; Xiong, Q. Org. Biomol. Chem. 2006, 4, 530 - 543). Stationary points were characterized by frequency calculations and reported energies include B3LYP/6-31+G(d,p) zero-point energy corrections. Intrinsic reaction coordinate (IRC) calculations were used for further characterization of all transition-state structures
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Wilson, W.K.6
Xiong, Q.7
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39
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33751044609
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368) and IRC plots are included in the Supporting Information. Structural drawings were produced using Ball & Stick
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Fukui, K. Acc. Chem. Res. 1981, 14, 363 - 368) and IRC plots are included in the Supporting Information. Structural drawings were produced using Ball & Stick
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18844424379
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Johannes Kepler University, Linz). Atom numbering indicated in the structures in this report is based on that of 1 (Scheme 1).
-
Müller, N.; Falk, A.; Gsaller, G. Ball & Stick V.4.0a12, Molecular Graphics Application for MacOS Computers, Johannes Kepler University, Linz, 2004,). Atom numbering indicated in the structures in this report is based on that of 1 (Scheme 1).
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Müller, N.1
Falk, A.2
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79952601254
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See also: http://cheshirenmr.info.
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52
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79952601443
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We also computed chemical shifts for 5. See the Supporting Information for details.
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We also computed chemical shifts for 5. See the Supporting Information for details.
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-
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53
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79952594956
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2O (B3LYP/6-31+G(d,p)). We also examined the interconversion of A, B, E, 2, and 3 and attempted (without success) to find a transition-state structure for concerted protonation of 3 /cyclization/water capture. See the Supporting Information for details.
-
2O (B3LYP/6-31+G(d,p)). We also examined the interconversion of A, B, E, 2, and 3 and attempted (without success) to find a transition-state structure for concerted protonation of 3 /cyclization/water capture. See the Supporting Information for details.
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55
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0032517337
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Antonello, F.; Graziella, R.; Gabriele, R.; Felice, G.; Maurizio, S. Chem.-Eur. J. 2003, 9, 2072-2078
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Antonello, F.1
Graziella, R.2
Gabriele, R.3
Felice, G.4
Maurizio, S.5
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58
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79952605456
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At the B3LYP/6-31+G(d,p) level, the barrier is approximately 1 kcal/mol, and at the mPW1PW91/6-31+G(d,p)//B3LYP/6-31+G(d,p) level, there is no barrier.
-
At the B3LYP/6-31+G(d,p) level, the barrier is approximately 1 kcal/mol, and at the mPW1PW91/6-31+G(d,p)//B3LYP/6-31+G(d,p) level, there is no barrier.
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59
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79952589500
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See the Supporting Information for a discussion of the alternative tertiary cation that could be formed by protonation of the C2=C3 π-bond of 3.
-
See the Supporting Information for a discussion of the alternative tertiary cation that could be formed by protonation of the C2=C3 π-bond of 3.
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60
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79952593509
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We also examined the potential of formate (a small model of an active site aspartate) as a hydrogen bond acceptor in this reaction. See the Supporting Information for details.
-
We also examined the potential of formate (a small model of an active site aspartate) as a hydrogen bond acceptor in this reaction. See the Supporting Information for details.
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61
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79952593677
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Unlike previous cases where two sequential secondary carbocations have been predicted to be avoided via triple-shift reactions, (4) only one of the putative secondary carbocations in the pathway to avermitilol is predicted to be avoided, perhaps due in part to the different nature of the events that lead to the formation and subsequent reaction of the first carbocation in this case-alkene protonation followed by cation-alkene cyclization, rather than an alkyl shift followed by a hydride shift as in the systems that participate in triple shifts.
-
Unlike previous cases where two sequential secondary carbocations have been predicted to be avoided via triple-shift reactions, (4) only one of the putative secondary carbocations in the pathway to avermitilol is predicted to be avoided, perhaps due in part to the different nature of the events that lead to the formation and subsequent reaction of the first carbocation in this case-alkene protonation followed by cation-alkene cyclization, rather than an alkyl shift followed by a hydride shift as in the systems that participate in triple shifts.
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