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more..
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45
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0032372024
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We calculated the activation energy at the B3LYP level, while we performed orbital calculations at the HF//B3LYP level. We did not want to use B3LYP orbitals, whereas total energies and structures should be calculated by B3LYP electron-correlated methods. For discussions about the difference in nature between the HF and Kohn - Sham orbitals, see for example: (a) Politzer, P.; Abu-Awwad, F. Theor. Chem. Acc. 1998, 99, 83. (b) Stowasser, R.; Hoffmann, R. J. Am. Chem. Soc. 1999, 121, 3414.
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0033553133
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We calculated the activation energy at the B3LYP level, while we performed orbital calculations at the HF//B3LYP level. We did not want to use B3LYP orbitals, whereas total energies and structures should be calculated by B3LYP electron-correlated methods. For discussions about the difference in nature between the HF and Kohn - Sham orbitals, see for example: (a) Politzer, P.; Abu-Awwad, F. Theor. Chem. Acc. 1998, 99, 83. (b) Stowasser, R.; Hoffmann, R. J. Am. Chem. Soc. 1999, 121, 3414.
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49
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0001127260
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In the original definition of superdelocalizability (ref 4), the denominator is not simply the orbital energy. However, for simplicity of theory, we calculate ρ values with the orbital energy being the denominator. This type of approximation is frequently adopted (see, for example, ref 2), and works well in other related methods as well (see, for example: (a) Hirao, H.; Omoto, K.; Fujimoto, H. J. Phys. Chem. A 1999, 103, 5807. (b) Hirao, H.; Fujimoto, H. J. Phys. Chem. A 2000, 104, 6649). Other orbital-energy-related quantities may also be used as the denominator of ρ.
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Hirao, H.1
Omoto, K.2
Fujimoto, H.3
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50
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0034229787
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In the original definition of superdelocalizability (ref 4), the denominator is not simply the orbital energy. However, for simplicity of theory, we calculate ρ values with the orbital energy being the denominator. This type of approximation is frequently adopted (see, for example, ref 2), and works well in other related methods as well (see, for example: (a) Hirao, H.; Omoto, K.; Fujimoto, H. J. Phys. Chem. A 1999, 103, 5807. (b) Hirao, H.; Fujimoto, H. J. Phys. Chem. A 2000, 104, 6649). Other orbital-energy-related quantities may also be used as the denominator of ρ.
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(2000)
J. Phys. Chem. A
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, pp. 6649
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Hirao, H.1
Fujimoto, H.2
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0000387235
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For optimizations, the Davidon-Fletcher-Powell method was used, (a) Fletcher, R.; Powell, M. J. D. Comput. J. 1963, 6, 163. (b) Reddy, P. J.; Zimmermann, H. J.; Hussain, A. J. Comput. Appl. Math. 1975, 1, 255.
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3042836312
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For optimizations, the Davidon-Fletcher-Powell method was used, (a) Fletcher, R.; Powell, M. J. D. Comput. J. 1963, 6, 163. (b) Reddy, P. J.; Zimmermann, H. J.; Hussain, A. J. Comput. Appl. Math. 1975, 1, 255.
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54
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13444267457
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note
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Here we comment on the chloro substitution, because experimental data are available for the Diels-Alder reaction of 2-chlorobutadiene with a dienophile bearing an electron-withdrawing group. Hehre et al. theoretically examined the regioselectivity of this reaction (ref 15), and predicted no selectivity. However, the RHO method assigned para selectivity, which is in agreement with the experiment.
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55
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0001154851
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(a) Contreras, R.; Fuentealba, P.; Calván, M.; Pérez, P. Chem. Phys. Lett. 1999, 304, 405.
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Contreras, R.1
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56
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0034246593
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(b) Fuentealba, P.; Pérez, P.; Contreras, R. J. Chem. Phys. 2000, 113, 2544.
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Fuentealba, P.1
Pérez, P.2
Contreras, R.3
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57
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13444273118
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note
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k(X). Note that all the elements in C' corresponding to AOs in atoms other than k are zero. Since the MOs are orthogonal to one another, the quantity in eq R1 is equal to the LCMO coefficient of the frontier orbital.
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58
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13444251094
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note
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∝(X)
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63
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13444262050
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note
-
Strictly speaking, for the interaction between Hartree - Fock MOs, stabilization of total energy as a result of charge transfer in terms of the perturbation form should be represented not by orbital energies but by wave function-based configuration energies (see ref 43). However, the latter energies cannot be calculated for an isolated state. In addition, orbital energies have historically often been utilized to compare reactivities. Thus, we utilize orbital energies as a simple measure.
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65
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13444273119
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Reference 38, p 345
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Reference 38, p 345.
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66
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13444263433
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note
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This would be because of the limitation of those procedures which aimed to reproduce the Orbitals around TS in terms of combination of orbitals at the reactant state.
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-
-
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67
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13444310616
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note
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This is because important lower lying MOs are not taken into account (Table 7).
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68
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0142213302
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Hoffmann, R.; Shaik, S.; Hiberty, P. Acc. Chem. Res. 2003, 36, 750.
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Hoffmann, R.1
Shaik, S.2
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