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Volumn 8, Issue 23, 2006, Pages 5243-5246

From oligomers to polymer: Convergence in the HOMO-LUMO gaps of conjugated oligomers

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Indexed keywords


EID: 33845269042     PISSN: 15237060     EISSN: None     Source Type: Journal    
DOI: 10.1021/ol062030y     Document Type: Article
Times cited : (321)

References (50)
  • 1
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    • Müllen, K., Wegner, G., Eds.; Wiley-VCH: Weinheim, Germany
    • (a) Electronic Materials: The Oligomer Approach; Müllen, K., Wegner, G., Eds.; Wiley-VCH: Weinheim, Germany, 1998.
    • (1998) Electronic Materials: The Oligomer Approach
  • 2
    • 0003471459 scopus 로고    scopus 로고
    • Fichou, D., Ed.; Wiley-VCH: Weinheim, Germany
    • (b) Handbook of Oligo- and Polythiophenes; Fichou, D., Ed.; Wiley-VCH: Weinheim, Germany, 1999.
    • (1999) Handbook of Oligo- and Polythiophenes
  • 3
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    • Skotheim, T. A., Elsenbaumer, R. L., Reynolds, J. R., Eds.; Marcel Dekker: New York
    • (c) Handbook of Conducting Polymers, 2nd ed.; Skotheim, T. A., Elsenbaumer, R. L., Reynolds, J. R., Eds.; Marcel Dekker: New York, 1998.
    • (1998) Handbook of Conducting Polymers, 2nd Ed.
  • 17
    • 32744457385 scopus 로고
    • 0 is the constant corresponding to the band gap at infinite length, (a) Kuhn, H. J. Chem. Phys. 1949, 17, 1198.
    • (1949) J. Chem. Phys. , vol.17 , pp. 1198
    • Kuhn, H.1
  • 20
    • 33845249087 scopus 로고    scopus 로고
    • note
    • For previous calculations of conjugated polymers using DFT/PBC. see refs 5c and 6 and references therein.
  • 21
    • 0037038507 scopus 로고    scopus 로고
    • see
    • For comparison of different theoretical levels used to predict band gaps of conducting polymers, see: Hutchison, G. R.; Ratner. M. A.; Marks, T. J. J. Phys. Chem. A 2002, 106, 10596.
    • (2002) J. Phys. Chem. A , vol.106 , pp. 10596
    • Hutchison, G.R.1    Ratner, M.A.2    Marks, T.J.3
  • 22
    • 33845267154 scopus 로고    scopus 로고
    • note
    • We note that excellent agreement between the calculated and experimental band gap values is partially due to cancellation of several errors from the theoretical level used and from comparison of gas phase calculations with experimental measurements performed in solid state.
  • 24
    • 33845246535 scopus 로고    scopus 로고
    • note
    • 2v symmetries for even and odd values of n, respectively. The energy difference between the symmetry constrained and non-constrained geometries is always less than 0.12 kcal/mol for oligothiophenes and 0.05 keal/mol for oligoselenophenes. The optimized geometries of 20T and 30T without symmetry constraints have planar structures which are indistinguishable from symmetry constrained geometries (energy difference is less than 0.01 kcal/mol). The geometries of oligoparaphenylenes and oligoEDOTs are optimized without symmetry constraints (geometries of oligoEDOTs are practically planar). Only in the case of oligopyrroles is the difference between constrained planar and non-constrained geometries significant (1.3 kcal/mol for the 6-mer and 9.2 kcal/mol for the 30-mer).
  • 32
    • 14644393593 scopus 로고    scopus 로고
    • (b) Cao, H.; Ma, J.; Zhang, G.; Jiang, Y. Macromolecules 2005, 38, 1123. For the most complete list of the PBC (B3LYP/6-31 G(d)) calculated band gaps of conjugated polymers, see ref 5c.
    • (2005) Macromolecules , vol.38 , pp. 1123
    • Cao, H.1    Ma, J.2    Zhang, G.3    Jiang, Y.4
  • 38
    • 33845246081 scopus 로고    scopus 로고
    • note
    • For an explanation of the asymptotic behavior of the HOMO-LUMO gap on the basis of the free electron model of the conjugated pseudo-one-dimensional π-system, see refs 6 and 7.
  • 39
    • 33845263421 scopus 로고    scopus 로고
    • note
    • 1 symmetry) were also studied, and their HOMO-LUMO gaps showed similar behavior; see Supporting Information (Figure S1) for details.
  • 46
    • 33744497963 scopus 로고
    • We could not find a reliable experimental estimation of the band gap of polyparaphenylene (PPP). The cited values include band gaps of 2.8 (Kovacic, P.; Jones, M. Chem. Rev. 1987, 87, 357)
    • (1987) Chem. Rev. , vol.87 , pp. 357
    • Kovacic, P.1    Jones, M.2
  • 49
    • 33746506728 scopus 로고    scopus 로고
    • After this work had been submitted for publication, calculations on long (up to n = 40) oligothiophenes and oligopyrroles at B3P86-30%/CEP-31G* level had been published. Salzner, U.; Karalti, O.; Durdagi, S. J. Mol. Model. 2006, 12, 687. Convergence of HOMO-LUMO gaps can also be observed at this level (see Figure 1 in ref 28).
    • (2006) J. Mol. Model. , vol.12 , pp. 687
    • Salzner, U.1    Karalti, O.2    Durdagi, S.3
  • 50
    • 33845242436 scopus 로고    scopus 로고
    • note
    • We have also discovered several cases (which belong to yet experimentally unknown types of conjugated polymers) where PBC results do not match values obtained from oligomer extrapolation. The details will be reported in a future publication.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.