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Volumn 100, Issue 5, 1996, Pages 1838-1846

Small band gap semiconducting polymers made from dye molecules: Polysquaraines

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EID: 0001470619     PISSN: 00223654     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp952276c     Document Type: Article
Times cited : (125)

References (47)
  • 1
    • 33748591789 scopus 로고    scopus 로고
    • Band gaps in polymers are identified with the onset of optical absorption due to electronic excitations. An excitation energy of 2 (3.5) eV corresponds to an absorption wavelength of 620 (350) nm
    • Band gaps in polymers are identified with the onset of optical absorption due to electronic excitations. An excitation energy of 2 (3.5) eV corresponds to an absorption wavelength of 620 (350) nm.
  • 4
    • 33748596018 scopus 로고    scopus 로고
    • Proceedings of the 6th International Conference on II-VI Compounds and Related Optoelectronic Materials
    • Nurmikko, A., Yao, T., Ruth, R., Eds.; in press
    • For an overview see, for example: Proceedings of the 6th International Conference on II-VI Compounds and Related Optoelectronic Materials; Nurmikko, A., Yao, T., Ruth, R., Eds.; J. Cryst. Growth, in press.
    • J. Cryst. Growth
  • 8
    • 33748630444 scopus 로고    scopus 로고
    • As for the problem cited above: it is easier to have a polymer with high electron affinity if the band gap is small
    • As for the problem cited above: it is easier to have a polymer with high electron affinity if the band gap is small.
  • 13
    • 33748592500 scopus 로고    scopus 로고
    • Using Hückel terminology, there will be a set of β's which describe the hybridization interaction between each pair of levels
    • Using Hückel terminology, there will be a set of β's which describe the hybridization interaction between each pair of levels.
  • 17
    • 0027555287 scopus 로고
    • Synth. Met. 1993, 55-57, 299.
    • (1993) Synth. Met. , vol.55-57 , pp. 299
  • 23
    • 33748621409 scopus 로고    scopus 로고
    • Aliphatic groups such as the methyl bridges in the five-membered rings in 2 do not contribute directly to the π states and are unimportant in discussing the electronic structure around the band gap of the polymer
    • Aliphatic groups such as the methyl bridges in the five-membered rings in 2 do not contribute directly to the π states and are unimportant in discussing the electronic structure around the band gap of the polymer.
  • 29
    • 0003716563 scopus 로고    scopus 로고
    • QCPE 455; Quantum Chemistry Program Exchange: Indiana University, Bloomington, IN
    • Program obtained from: Stewart, J. P. P. MOPAC (V6.0); A General Molecular Orbital Package, QCPE 455; Quantum Chemistry Program Exchange: Indiana University, Bloomington, IN.
    • MOPAC (V6.0); A General Molecular Orbital Package
    • Stewart, J.P.P.1
  • 30
    • 0001172461 scopus 로고
    • The C-O bond length could in principle be improved by optimizing the oxygen pseudopotential. Cf.: Laasonen, K.; Car, R.; Lee, C.; Vanderbilt, D. Phys. Rev. B 1991, 43, 6796.
    • (1991) Phys. Rev. B , vol.43 , pp. 6796
    • Laasonen, K.1    Car, R.2    Lee, C.3    Vanderbilt, D.4
  • 36
    • 0001160675 scopus 로고
    • Baraff, G. A.; Schlüter, M. Phys. Rev. B 1984, 30, 3460. This procedure is often referred to as a scissors operator, because one can think of it as cutting the band structure through the band gap and moving the conduction bands rigidly upward.
    • (1984) Phys. Rev. B , vol.30 , pp. 3460
    • Baraff, G.A.1    Schlüter, M.2
  • 41
    • 0347872312 scopus 로고
    • Even for the dye molecule 8, this procedure works reasonably well. Dividing the calculated LDA HOMO/LUMO gap of 1.2 eV by 0.6 gives a fair agreement with experiment. See e.g.: Dirk, C. W.; et al. J. Am. Chem. Soc. 1995, 117, 2214.
    • (1995) J. Am. Chem. Soc. , vol.117 , pp. 2214
    • Dirk, C.W.1
  • 42
    • 33748612121 scopus 로고    scopus 로고
    • Bear in mind that the out-of-plane torsion in polymer 5 increases the band gap as compared to completely planar structures; cf. ref 31
    • Bear in mind that the out-of-plane torsion in polymer 5 increases the band gap as compared to completely planar structures; cf. ref 31.
  • 43
    • 33748624552 scopus 로고    scopus 로고
    • In some cases we find in our calculation oxygen lone-pair-like n levels close to HOPO π level; cf. ref 21. In order to avoid complicating the discussion, we will only discuss states of π symmetry. Since the n-π* transition is forbidden, n states will not appear in the optical spectrum at a low energy. However, they could in principle act as trap states upon p-doping of the polymer
    • In some cases we find in our calculation oxygen lone-pair-like n levels close to HOPO π level; cf. ref 21. In order to avoid complicating the discussion, we will only discuss states of π symmetry. Since the n-π* transition is forbidden, n states will not appear in the optical spectrum at a low energy. However, they could in principle act as trap states upon p-doping of the polymer.
  • 44
    • 2842578995 scopus 로고
    • and references therein
    • For the helical symmetry group, see e.g.: Springborg, M. Int. Rev. Phys. Chem. 1993, 12, 241 and references therein.
    • (1993) Int. Rev. Phys. Chem. , vol.12 , pp. 241
    • Springborg, M.1
  • 45
    • 85087191530 scopus 로고    scopus 로고
    • x. The gap is then found at K = 0
    • x. The gap is then found at K = 0.
  • 46
    • 85087190296 scopus 로고    scopus 로고
    • H is simply that the amplitude of the LUMO on the carbon atom of the fragment coupled to the nitrogen atom is much larger than of the HOMO
    • H is simply that the amplitude of the LUMO on the carbon atom of the fragment coupled to the nitrogen atom is much larger than of the HOMO.
  • 47
    • 33748597613 scopus 로고    scopus 로고
    • In ref 16 it was speculated that the small band gaps of squaraine polymers could be the results of donor/acceptor properties of the individual fragments. That type of reasoning relies on charge transfer between the energy levels of the fragments, but one has to assume that the fragment states are not completely rehybridized (and thus remixed and reordered) in the polymer. However, as we have shown here, such hybridization effects are very large here and mask the charge transfer effects. Therefore, it seems that the donor/acceptor concept is not the key to understanding the electronic structure
    • In ref 16 it was speculated that the small band gaps of squaraine polymers could be the results of donor/acceptor properties of the individual fragments. That type of reasoning relies on charge transfer between the energy levels of the fragments, but one has to assume that the fragment states are not completely rehybridized (and thus remixed and reordered) in the polymer. However, as we have shown here, such hybridization effects are very large here and mask the charge transfer effects. Therefore, it seems that the donor/acceptor concept is not the key to understanding the electronic structure.


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