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(e) Brown, H. C. (with comments by P. v. R. Schleyer). The Nonclassical Ion Problem; Plenum: New York, 1977.
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Nonclassical cations have, from time to time, been proposed as intermediates in terpene biosynthesis. See, for example: (a) Wessjohann, L. A.; Brandt, W. Chem. Rev 2003, 103, 1625-1647.
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Nonclassical cations have, from time to time, been proposed as intermediates in terpene biosynthesis. See, for example: (a) Wessjohann, L. A.; Brandt, W. Chem. Rev 2003, 103, 1625-1647.
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51549102339
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1-5 Ammonia was used in our calculations (see also refs 9 and 14a) for simplicity. Reference 9 demonstrates that interaction with the lone pair of ammonia or a π-face of benzene leads to qualitatively similar perturbations to carbocation structure, despite their very different basicities and electronic structures. Nonetheless, our ongoing studies will address more quantitatively the implications of using different model bases on such processes; results along these lines will be reported in due course.
-
1-5 Ammonia was used in our calculations (see also refs 9 and 14a) for simplicity. Reference 9 demonstrates that interaction with the lone pair of ammonia or a π-face of benzene leads to qualitatively similar perturbations to carbocation structure, despite their very different basicities and electronic structures. Nonetheless, our ongoing studies will address more quantitatively the implications of using different model bases on such processes; results along these lines will be reported in due course.
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35848965918
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Additional calculations on cation rearrangements in sesquiterpene biosynthesis have been described by Allemann, Gao, Truhlar, and co-workers; see: Allemann, R. K, Young, N. J, Ma, S, Truhlar, D. G, Gao, J. J. Am. Chem. Soc. 2007, 129, 13008-13013
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Additional calculations on cation rearrangements in sesquiterpene biosynthesis have been described by Allemann, Gao, Truhlar, and co-workers; see: Allemann, R. K.; Young, N. J.; Ma, S.; Truhlar, D. G.; Gao, J. J. Am. Chem. Soc. 2007, 129, 13008-13013.
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28
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0030751628
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Kinetic studies on certain sesquiterpene synthases have suggested that the initial divalent metal ion-dependent ionization of the pyrophosphate group may be the rate-limiting chemical step in terpene formation; see: (a) Cane, D. E, Chiu, H.-T, Liang, P.-H, Anderson, K. S. Biochemistry 1997, 36, 8332-8339
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Kinetic studies on certain sesquiterpene synthases have suggested that the initial divalent metal ion-dependent ionization of the pyrophosphate group may be the rate-limiting chemical step in terpene formation; see: (a) Cane, D. E.; Chiu, H.-T.; Liang, P.-H.; Anderson, K. S. Biochemistry 1997, 36, 8332-8339.
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51549117440
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δ-Selinene synthase is another such promiscuous enzyme, making approximately 30 different sesquiterpenes, including α-ylangene as a minor product see ref 19
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δ-Selinene synthase is another such "promiscuous" enzyme, making approximately 30 different sesquiterpenes, including α-ylangene as a minor product (see ref 19).
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33
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34548757971
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For an example of such a case with a triterpene synthase, see
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For an example of such a case with a triterpene synthase, see: Lodeiro, S.; Xiong, Q.; Wilson, W. K.; Kolesnikova, M. D.; Onak, C. S.; Matsuda, S. P. T. J. Am. Chem. Soc. 2007, 129, 11213-11222.
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33344476624
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For a recent report of α-ylangene isolated from a marine diterpene synthase, see
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(d) For a recent report of α-ylangene isolated from a marine diterpene synthase, see: Brück, T. B.; Kerr, R. G. Comp. Biochem. Physiol., Part B: Biochem. Mol. Biol. 2006, 143, 269-278.
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51549102935
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Schemes found in ref 19 also include β-cubebene (found as a minor product of γ-humulene synthase and proposed to arise from a 1,2-hydride shift in intermediate 3, Scheme 1) and α-copaene a diastereomer of α-ylangene found as a minor product of both γ-humulene synthase and δ-selinene synthase, However, we find that the relative stereochemistry in structure 3 that leads to sativene, cyclosativene, and the ylangenes is not consistent with the relative stereochemistry of β-cubebene and α-copaene. Therefore, we believe that β-cubebene and α-copaene do not arise directly from intermediate 3, but rather may arise via an earlier branch point. See the Supporting Information for a scheme which illustrates this relationship. Additionally, according to ref 19, there are several other sesquiterpenes which may arise from deprotonation-reprotonation sequences along the way to sativene, etc, e.g. germacrenes, amorphenes
-
Schemes found in ref 19 also include β-cubebene (found as a minor product of γ-humulene synthase and proposed to arise from a 1,2-hydride shift in intermediate 3, Scheme 1) and α-copaene (a diastereomer of α-ylangene found as a minor product of both γ-humulene synthase and δ-selinene synthase). However, we find that the relative stereochemistry in structure 3 that leads to sativene, cyclosativene, and the ylangenes is not consistent with the relative stereochemistry of β-cubebene and α-copaene. Therefore, we believe that β-cubebene and α-copaene do not arise directly from intermediate 3, but rather may arise via an earlier branch point. See the Supporting Information for a scheme which illustrates this relationship. Additionally, according to ref 19, there are several other sesquiterpenes which may arise from deprotonation-reprotonation sequences along the way to sativene, etc. (e.g. germacrenes, amorphenes, sibirene, and gurjunene); these are not discussed further in this manuscript.
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43
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33749641636
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While sativene, cyclosativene, α-ylangene, and β-ylangene are found as constituents of numerous natural product extracts, to our knowledge, only one, β-ylangene, has been linked to another known sesquiterpene synthase enzyme, namely germacrene D synthase. See
-
While sativene, cyclosativene, α-ylangene, and β-ylangene are found as constituents of numerous natural product extracts, to our knowledge, only one, β-ylangene, has been linked to another known sesquiterpene synthase enzyme, namely germacrene D synthase. See: Deguerry, F.; Pastore, L.; Wu, S.; Clark, A.; Chappell, J.; Schalk, M. Arch. Biochem. Biophys. 2006, 454, 123-136.
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Deguerry, F.1
Pastore, L.2
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Schalk, M.6
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Reddy, V. P.; Rasul, G.; Prakash, G. K. S.; Olah, G. J. Org. Chem. 2007, 72, 3076-3080.
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46
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0002846538
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For a review on related cyclopropylcarbinyl cations, see
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For a review on related cyclopropylcarbinyl cations, see: Olah, G. A.; Reddy, P.; Prakash, G. K. S. Chem. Rev. 1992, 92, 69-95.
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47
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51549107480
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This report is part three in our Theoretical Studies on Farnesyl Cation Cyclization series in which we explore the mechanistic details of sesquiterpene formation using quantum mechanical calculations. For parts 1 and 2, see refs 11 and 12
-
This report is part three in our "Theoretical Studies on Farnesyl Cation Cyclization" series in which we explore the mechanistic details of sesquiterpene formation using quantum mechanical calculations. For parts 1 and 2, see refs 11 and 12.
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48
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51549101155
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Frisch, M. J. Gaussian03, revision D.01; Gaussian, Inc.: Pittsburgh, PA, 2003 (see the full reference in the Supporting Information).
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Frisch, M. J. Gaussian03, revision D.01; Gaussian, Inc.: Pittsburgh, PA, 2003 (see the full reference in the Supporting Information).
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The value of diffuse functions in density functional based calculations was recently discussed in: Lynch, B. J.; Zhao, Y.; Truhlar, D. G. J. Phys. Chem. A 2003, 107, 1384-1388.
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(e) The value of diffuse functions in density functional based calculations was recently discussed in: Lynch, B. J.; Zhao, Y.; Truhlar, D. G. J. Phys. Chem. A 2003, 107, 1384-1388.
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54
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We were unable to complete an IRC calculation linking transition structure TS3c→6 to minimum 6 (Figure 8). While the vibrational mode corresponding to the imaginary frequency associated with the transition structure clearly shows motion corresponding to the expected bond formation, the flat nature of the potential energy surface appears to prevent the IRC calculation from effectively following the surface towards intermediate 6.
-
We were unable to complete an IRC calculation linking transition structure TS3c→6 to minimum 6 (Figure 8). While the vibrational mode corresponding to the imaginary frequency associated with the transition structure clearly shows motion corresponding to the expected bond formation, the flat nature of the potential energy surface appears to prevent the IRC calculation from effectively following the surface towards intermediate 6.
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57
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IRC plots are available in the Supporting Information
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(c) IRC plots are available in the Supporting Information.
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Matsuda, S. P. T.; Wilson, W. K.; Xiong, Q. Org. Biomol. Chem. 2006, 4, 530-543.
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51549121488
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Attempts to find an open form of the nerolidyl cation in a productive conformation repeatedly led either directly to structure 1 or to the bisabolyl cation. Our attempts included the use of both constrained calculations and relaxed potential energy surface scans involving the C1-C10 distance
-
Attempts to find an open form of the nerolidyl cation in a productive conformation repeatedly led either directly to structure 1 or to the bisabolyl cation. Our attempts included the use of both constrained calculations and relaxed potential energy surface scans involving the C1-C10 distance.
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66
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Although rotation of the isopropyl group at this point is not essential for the ultimate formation of sativene, cyclosativene, and the ylangenes, it does result in an overall lower energy pathway. See the Supporting Information for structures and energies corresponding to the pathway leading to sativene without this early conformational change
-
(a) Although rotation of the isopropyl group at this point is not essential for the ultimate formation of sativene, cyclosativene, and the ylangenes, it does result in an overall lower energy pathway. See the Supporting Information for structures and energies corresponding to the pathway leading to sativene without this early conformational change.
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67
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51549109865
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The conformation of the isopropyl group also appears to perturb the potential energy surface in the region of the 3c→5 and 3c→6 reaction steps. Specifically, whereas the IRC results pictured in Figure 4 smoothly connect TS3c→5 to intermediate 3c in the reverse direction, the corresponding IRC result for TS3c′→ 5′ (where the isopropyl group is in its 2a conformation) appears to lead directly to TS3c′→6′, a transition-state structure leading to the ylangene cation; this feature is most likely indicative of a bifurcation along this pathway. See the Supporting Information for diagrams and additional details
-
(b) The conformation of the isopropyl group also appears to perturb the potential energy surface in the region of the 3c→5 and 3c→6 reaction steps. Specifically, whereas the IRC results pictured in Figure 4 smoothly connect TS3c→5 to intermediate 3c in the reverse direction, the corresponding IRC result for TS3c′→ 5′ (where the isopropyl group is in its 2a conformation) appears to lead directly to TS3c′→6′, a transition-state structure leading to the ylangene cation; this feature is most likely indicative of a bifurcation along this pathway. See the Supporting Information for diagrams and additional details.
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Note that the presence of a direct 1,3-hydride shift pathway from 1 to 2, even though it is energetically feasible, does not rule out the possibility of alternative deprotonation-reprotonation sequences involving a bicyclogermacrene intermediate, as suggested by Cane and co-workers in work on related rearrangements; see: Jiang, J.; Cane, D. E. J. Am. Chem. Soc. 2008, 130, 428-429. See also ref 7d for a paper on germacrene D. Note that it is difficult to assess the energetics of such intermolecular alternatives.
-
Note that the presence of a direct 1,3-hydride shift pathway from 1 to 2, even though it is energetically feasible, does not rule out the possibility of alternative deprotonation-reprotonation sequences involving a bicyclogermacrene intermediate, as suggested by Cane and co-workers in work on related rearrangements; see: Jiang, J.; Cane, D. E. J. Am. Chem. Soc. 2008, 130, 428-429. See also ref 7d for a paper on germacrene D. Note that it is difficult to assess the energetics of such intermolecular alternatives.
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70
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Computations on complexes of classical cations with π-systems include: (a) Miklis, P. C.; Ditchfield, R.; Spencer, T. A. J. Am. Chem. Soc. 1998, 120, 10482-10489.
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Computations on complexes of classical cations with π-systems include: (a) Miklis, P. C.; Ditchfield, R.; Spencer, T. A. J. Am. Chem. Soc. 1998, 120, 10482-10489.
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Filippi, A.1
Roselli, G.2
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(f) Marcantoni, E.; Roselli, G.; Lucarelli, L.; Renzi, G.; Filippi, A.; Trionfetti, C.; Speranza, M. J. Org. Chem. 2005, 70, 4133-4141.
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77
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Structures 3b and 3c can be considered to be hyperconjomers: Rauk, A.; Sorensen, T. S.; Schleyer, P. v. R. J. Chem. Soc. Perkin Trans. 2 2001, 6, 869-874. In 3b, the cation is hyperconjugated to two neighboring C-C sigma bonds, while in 3c, the cation is hyperconjugated to two neighboring C-H σ bonds.
-
Structures 3b and 3c can be considered to be hyperconjomers: Rauk, A.; Sorensen, T. S.; Schleyer, P. v. R. J. Chem. Soc. Perkin Trans. 2 2001, 6, 869-874. In 3b, the cation is hyperconjugated to two neighboring C-C sigma bonds, while in 3c, the cation is hyperconjugated to two neighboring C-H σ bonds.
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These attempts included the use of constrained optimizations (in order to prevent the alkyl shift from occurring) both on structures similar to the transition state structure (Figure 4) and on structures with ammonia complexed to several nearby hydrogen atoms. In all cases, when the constraint was removed, the structure relaxed to one corresponding to structure 5 (Figure 2).
-
These attempts included the use of constrained optimizations (in order to prevent the alkyl shift from occurring) both on structures similar to the transition state structure (Figure 4) and on structures with ammonia complexed to several nearby hydrogen atoms. In all cases, when the constraint was removed, the structure relaxed to one corresponding to structure 5 (Figure 2).
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81
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The exo and endo deprotonation transition state structures for sativene differ by less than 0.2 kcal/mol (B3LYP/6-31+G(d,p)).
-
The exo and endo deprotonation transition state structures for sativene differ by less than 0.2 kcal/mol (B3LYP/6-31+G(d,p)).
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With ammonia as the base, the barrier for deprotonation of 5 (relative to the corresponding reactant complex, 5⋯NH3) to form cyclosativene is approximately 9.9 kcal/mol and the barrier for deprotonation to form sativene is approximately 2.6 kcal/mol (B3LYP/6-31+Gd,p, including unscaled ZPE corrections
-
3) to form cyclosativene is approximately 9.9 kcal/mol and the barrier for deprotonation to form sativene is approximately 2.6 kcal/mol (B3LYP/6-31+G(d,p), including unscaled ZPE corrections).
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83
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51549120923
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Formation of the ylangenes is related to the formation of the pinenes, camphenes, tricyclene, bergamotenes, and santalene, but we hesitate to draw conclusions about these other terpenes based on our ylangene results due to their structural differences. We will, however, describe calculations on all of these systems in due course
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Formation of the ylangenes is related to the formation of the pinenes, camphenes, tricyclene, bergamotenes, and santalene, but we hesitate to draw conclusions about these other terpenes based on our ylangene results due to their structural differences. We will, however, describe calculations on all of these systems in due course.
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84
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51549109466
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It is tempting to correlate the relative barriers for the production of sativene/cyclosativene and the ylangenes to the observed product distribution described in ref 19 (a total of 5.3% and 3.2% respectively, However, these gas-phase barriers do not take into account any effect the enzyme might have on the conformation of the substrate. Additionally, one cannot rule out the possibility that other products arise from diversions after this branch point. Note also that although the barrier to formation of the ylangene cation is smaller than that for the sativene/cyclosativene cation, the overall exothermicity is much less see Figure 8
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It is tempting to correlate the relative barriers for the production of sativene/cyclosativene and the ylangenes to the observed product distribution described in ref 19 (a total of 5.3% and 3.2% respectively). However, these gas-phase barriers do not take into account any effect the enzyme might have on the conformation of the substrate. Additionally, one cannot rule out the possibility that other products arise from diversions after this branch point. Note also that although the barrier to formation of the ylangene cation is smaller than that for the sativene/cyclosativene cation, the overall exothermicity is much less (see Figure 8).
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85
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51549118189
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This is a result of the ZPE correction. When the non-ZPE corrected B3LYP energies are considered, the minimum (6) is actually lower in energy than the transition structure by 0.07 kcal/mol
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This is a result of the ZPE correction. When the non-ZPE corrected B3LYP energies are considered, the minimum (6) is actually lower in energy than the transition structure by 0.07 kcal/mol.
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86
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51549090721
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These attempts included constrained calculations where the C2-C7 and C3-C7 distances were constrained at 2.05 Å each and also where the C2-C7 and C3-C7 distances were constrained to 1.85 Å and 2.00 Å, respectively.
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These attempts included constrained calculations where the C2-C7 and C3-C7 distances were constrained at 2.05 Å each and also where the C2-C7 and C3-C7 distances were constrained to 1.85 Å and 2.00 Å, respectively.
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87
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51549093712
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Structure 13 shows significant perturbation from cation 6; the perturbation is such that the C2-C7 bond is no longer aligned with the empty p-orbital of the carbocationic center. Thus there is essentially no hyperconjugative interaction between the two, and the C2-C7 bond distance is decreased to 1.58 Å. This distance is slightly elongated in going to the corresponding transition-state structure, 14.
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Structure 13 shows significant perturbation from cation 6; the perturbation is such that the C2-C7 bond is no longer aligned with the empty p-orbital of the carbocationic center. Thus there is essentially no hyperconjugative interaction between the two, and the C2-C7 bond distance is decreased to 1.58 Å. This distance is slightly elongated in going to the corresponding transition-state structure, 14.
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88
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51549116823
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Note also here that 14 is 2.15 kcal/mol higher in energy (B3LYP/6-31+G(d,p)) than 12.
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Note also here that 14 is 2.15 kcal/mol higher in energy (B3LYP/6-31+G(d,p)) than 12.
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