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For a detailed, most recent discussion of the Peierls' instability in polyacene and oligoacenes, see: Raghu, C.; Patil, Y. A.; Ramasesha, S. Phys. Rev. B 2002, 65, 155204/1-9.
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Kahn, S. D.; Hehre, W. J.; Pople, J. A. J. Am. Chem. Soc. 1987, 109, 1871-1873. An independent observation of the instability of the restricted wave function has been made by P. v. R. Schleyer and Z. Chen at the University of Georgia; unpublished results.
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University of Georgia unpublished results
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Kahn, S. D.; Hehre, W. J.; Pople, J. A. J. Am. Chem. Soc. 1987, 109, 1871-1873. An independent observation of the instability of the restricted wave function has been made by P. v. R. Schleyer and Z. Chen at the University of Georgia; unpublished results.
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Schleyer, P.V.R.1
Chen, Z.2
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18
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0038252597
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Re-optimization of the geometry at the UDFT level also led to a lowering of the energy, which can be considered as a second criterion describing the instability of the RDFT solution (Gräfenstein, J.; Hjerpe, A. M.; Kraka, E.; Cremer, D. J. Phys. Chem. A 2000, 104, 1748-1761).
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J. Phys. Chem. A
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Gräfenstein, J.1
Hjerpe, A.M.2
Kraka, E.3
Cremer, D.4
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19
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0030018945
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Unrestricted DFT is adequate for studying concerted vs diradical pathways of the Diels-Alder reaction (Goldstein, E.; Beno, B.; Houk, K. N. J. Am. Chem. Soc. 1996, 118, 6036) and the Bergman cyclization (Gräfenstein, J.; Hjerpe, A. M.; Kraka, E.; Cremer, D. J. Phys. Chem. A 2000, 104, 1748-1761), which includes diradical intermediates. Here UDFT provided results similar to CASSCF or CASPT2 as well as for other radical reactions (Rienstra-Kiracofe, J. C.; Allen, W. D.; Schaefer, H. F., III. J. Phys. Chem. A 2000, 104, 9823-9840) where UDFT and CCSD(T) levels give similar results.
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J. Am. Chem. Soc.
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Goldstein, E.1
Beno, B.2
Houk, K.N.3
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20
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0038252597
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Unrestricted DFT is adequate for studying concerted vs diradical pathways of the Diels-Alder reaction (Goldstein, E.; Beno, B.; Houk, K. N. J. Am. Chem. Soc. 1996, 118, 6036) and the Bergman cyclization (Gräfenstein, J.; Hjerpe, A. M.; Kraka, E.; Cremer, D. J. Phys. Chem. A 2000, 104, 1748-1761), which includes diradical intermediates. Here UDFT provided results similar to CASSCF or CASPT2 as well as for other radical reactions (Rienstra-Kiracofe, J. C.; Allen, W. D.; Schaefer, H. F., III. J. Phys. Chem. A 2000, 104, 9823-9840) where UDFT and CCSD(T) levels give similar results.
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J. Phys. Chem. A
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Gräfenstein, J.1
Hjerpe, A.M.2
Kraka, E.3
Cremer, D.4
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21
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0034321107
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Unrestricted DFT is adequate for studying concerted vs diradical pathways of the Diels-Alder reaction (Goldstein, E.; Beno, B.; Houk, K. N. J. Am. Chem. Soc. 1996, 118, 6036) and the Bergman cyclization (Gräfenstein, J.; Hjerpe, A. M.; Kraka, E.; Cremer, D. J. Phys. Chem. A 2000, 104, 1748-1761), which includes diradical intermediates. Here UDFT provided results similar to CASSCF or CASPT2 as well as for other radical reactions (Rienstra-Kiracofe, J. C.; Allen, W. D.; Schaefer, H. F., III. J. Phys. Chem. A 2000, 104, 9823-9840) where UDFT and CCSD(T) levels give similar results.
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J. Phys. Chem. A
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Rienstra-Kiracofe, J.C.1
Allen, W.D.2
Schaefer III, H.F.3
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Open-shell ground-state singlet disjoint diradicals have been discussed in detail by Borden and Davidson and others. (a) Borden, W. T.; Davidson, E. R. J. Am. Chem. Soc. 1977, 99, 4587,
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(c) Du, P.; Hrovat, D. A.; Borden, W. T.; Lahti, P. M.; Rossi, A. R.; Berson, J. A. J. Am. Chem. Soc. 1986, 108, 5072.
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Berson, J.A.6
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(g) Clifford, E. P.; Wenthold, P. G.; Lineberger, W. C.; Ellison, G. B.; Wang, C. X.; Grabowski, J. J.; Vila, F.; Jordan, K. D. J. Chem. Soc., Perkin Trans. 2 1998, 1015.
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Wang, C.X.5
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According to the Su-Schrieffer-Heeger (SSH) model, the effective length of a soliton in a π-system is about 14 carbon atoms: Heeger, A. J.; Kivelson, S.; Schrieffer, J. R.; Su, W.-P. Rev. Mod. Phys. 1988, 60, 781-850. This is in agreement with our calculations, predicting diradical character in oligoacenes, and thus, hexacene-heptacene have already enough π-length (two 13-15 carbon atom chains, respectively) to produce two oligoacetylene solitons.
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Rev. Mod. Phys.
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Heeger, A.J.1
Kivelson, S.2
Schrieffer, J.R.3
Su, W.-P.4
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