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Volumn 111, Issue 45, 2007, Pages 11645-11651

Intramolecular vibrational force fields for linear carbon chains through an adaptative linear scaling scheme

Author keywords

[No Author keywords available]

Indexed keywords

CHAIN LENGTH; CHEMICAL BONDS; DENSITY FUNCTIONAL THEORY; PHONONS; SPECTRUM ANALYSIS;

EID: 36749075059     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp0757006     Document Type: Article
Times cited : (53)

References (44)
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    • Everall, N. J, Chalmers, J. M, Griffiths, P. R, Eds, Wiley: New York, ISBN 978-0-470-01662-6, and references therein
    • (c) Zerbi, G. In Vibrational Spectroscopy of Polymers: Principles and Practice; Everall, N. J., Chalmers, J. M., Griffiths, P. R., Eds.; Wiley: New York, 2007; ISBN 978-0-470-01662-6, and references therein.
    • (2007) Vibrational Spectroscopy of Polymers: Principles and Practice
    • Zerbi, G.1
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    • John Wiley & Sons: New York, ISBN 0471129968
    • Califano, S. Vibrational States; John Wiley & Sons: New York, 1997; ISBN 0471129968.
    • (1997) Vibrational States
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    • Frisch, M. J, Trucks, G. W, Schlegel, H. B, Scuseria, G. E, Robb, M. A, Cheeseman, J. R, Montgomery, J. A, Jr, Vreven, T, Kudin, K. N, Burant, J. C, Millam, J. M, Iyengar, S. S, Tomasi, J, Barone, V, Mennucci, B, Cossi, M, Scalmani, G, Rega, N, Petersson, G. A, Nakatsuji, H, Hada, M, Ehara, M, Toyota, K, Fukuda, R, Hasegawa, J, Ishida, M, Nakajima, T, Honda, Y, Kitao, O, Nakai, H, Klene, M, Li, X, Knox, J. E, Hratchian, H. P, Cross, J. B, Bakken, V, Adamo, C, Jaramillo, J, Gomperts, R, Stratmann, R. E, Yazyev, O, Austin, A. J, Cammi, R, Pomelli, C, Ochterski, J. W, Ayala, P. Y, Morokuma, K, Voth, G. A, Salvador, P, Dannenberg, J. J, Zakrzewski, V. G, Dapprich, S, Daniels, A. D, Strain, M. C, Farkas, O, Malick, D. K, Rabuck, A. D, Raghavachari, K, Foresman, J. B, Ortiz, J. V, Cui, Q, Baboul, A. G, Clifford, S, Cioslowski, J, Stefanov, B. B, Liu, G, Liashenko, A, Piskorz, P, Komaromi, I, Martin, R. L, Fox, D. J, Keit
    • Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin, K. N.; Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Bakken, V.; Adamo, C.; Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian 03, revision C.02; Gaussian, Inc.: Wallingford, CT, 2004.
  • 41
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    • -1. This is merely the consequence of a negligible dynamical coupling between bending and stretching vibrations. Moreover, the choice of a linear geometry for oligomers makes it possible to assume the same symmetry for short chains and for the infinite 1D crystal, thus making the comparison easier.
    • -1. This is merely the consequence of a negligible dynamical coupling between bending and stretching vibrations. Moreover, the choice of a linear geometry for oligomers makes it possible to assume the same symmetry for short chains and for the infinite 1D crystal, thus making the comparison easier.
  • 42
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    • n refers to the interaction between nonequivalent bonds at distance n. The symbols appearing in eq 2 can be collected in a usual matrix representation of the force constant matrix F of the infinite chain (see Supporting Information).
    • n refers to the interaction between nonequivalent bonds at distance n. The symbols appearing in eq 2 can be collected in a usual matrix representation of the force constant matrix F of the infinite chain (see Supporting Information).
  • 43
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    • The plot of Fig. 3 has been obtained by using force constants transferred from the scaled force field obtained from a PBE1PBE/cc-pVTZ calculation (see discussion in section III), but the same qualitative results are obtained using unsealed DFT force fields of the same molecule.
    • The plot of Fig. 3 has been obtained by using force constants transferred from the scaled force field obtained from a PBE1PBE/cc-pVTZ calculation (see discussion in section III), but the same qualitative results are obtained using unsealed DFT force fields of the same molecule.
  • 44
    • 36749004633 scopus 로고    scopus 로고
    • The choice of the functional PBE1PBE and of the basis set cc-pVTZ is motivated by the fact that it seems to be the method which can better reproduce the relative intensities of the α and β lines (see Figure 1).
    • The choice of the functional PBE1PBE and of the basis set cc-pVTZ is motivated by the fact that it seems to be the method which can better reproduce the relative intensities of the α and β lines (see Figure 1).


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