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Two-dimensional spatial coherence of excitons in semicrystalline polymeric semiconductors: Effect of molecular weight

Francis Paquin, Hajime Yamagata, Nicholas J. Hestand, Maciej Sakowicz, Nicolas Bérubé, Michel Côté, Luke X. Reynolds, Saif A. Haque, Natalie Stingelin, Frank C. Spano, and Carlos Silva
Phys. Rev. B 88, 155202 – Published 7 October 2013
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Abstract

The electronic properties of macromolecular semiconductor thin films depend profoundly on their solid-state microstructure, which in turn is governed, among other things, by the processing conditions selected and the polymer's chemical nature and molecular weight. Specifically, low-molecular-weight materials form crystalline domains of cofacially π-stacked molecules, while the usually entangled nature of higher-molecular-weight polymers leads to microstructures comprised of molecularly ordered crystallites interconnected by amorphous regions. Here, we examine the interplay between extended exciton states delocalized along the polymer backbones and across polymer chains within the π stack, depending on the structural development with molecular weight. Such two-dimensional excitations can be considered as Frenkel excitons in the limit of weak intersite coupling. We combine optical spectroscopies, thermal probes, and theoretical modeling, focusing on neat poly(3-hexylthiophene) (P3HT)—one of the most extensively studied polymeric semiconductors—of weight-average molecular weight (Mw) of 3–450 kg/mol. In thin-film structures of high-molecular-weight materials (Mw > 50 kg/mol), a balance of intramolecular and intermolecular excitonic coupling results in high exciton coherence lengths along chains (∼4.5 thiophene units), with interchain coherence limited to ∼2 chains. In contrast, for structures of low-Mw P3HT (<50 kg/mol), the interchain exciton coherence is dominant (∼30% higher than in architectures formed by high-molecular-weight materials). In addition, the spatial coherence within the chain is significantly reduced (by nearly 25%). These observations give valuable structural information; they suggest that the macromolecules in aggregated regions of high-molecular-weight P3HT adopt a more planar conformation compared to low-molecular-weight materials. This results in the observed increase in intrachain exciton coherence. In contrast, shorter chains seem to lead to torsionally more disordered architectures. A rigorous, fundamental description of primary photoexcitations in π-conjugated polymers is hence developed: two-dimensional excitons are defined by the chain-length dependent molecular arrangement and interconnectivity of the conjugated macromolecules, leading to interplay between intramolecular and intermolecular spatial coherence.

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  • Received 6 June 2013

DOI:https://doi.org/10.1103/PhysRevB.88.155202

©2013 American Physical Society

Authors & Affiliations

Francis Paquin1, Hajime Yamagata2, Nicholas J. Hestand2, Maciej Sakowicz1, Nicolas Bérubé1, Michel Côté1, Luke X. Reynolds3, Saif A. Haque3, Natalie Stingelin4, Frank C. Spano2,*, and Carlos Silva1,†

  • 1Département de physique & Regroupement québécois sur les matériaux de pointe, Université de Montréal, C. P. 6128, Succursale centre-ville, Montréal (Québec) H3C 3J7, Canada
  • 2Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
  • 3Department of Chemistry and Centre for Plastic Electronics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
  • 4Department of Materials and Centre for Plastic Electronics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom

  • *spano@temple.edu
  • Visiting Professor (Experimental Solid-State Physics), Department of Physics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom; carlos.silva@umontreal.ca.

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Vol. 88, Iss. 15 — 15 October 2013

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Images

  • Figure 1
    Figure 1
    Absorption and photoluminescence spectra in thin films of neat P3HT of low (12.4 kg/mol; chain extended structure- red symbols) and high (264 kg/mol; entangled, semicrystalline morphology- blue symbols). (a) Normalized absorption spectra for these films at room temperature. (b) Normalized photoluminescence spectra measured at T = 10 K.Reuse & Permissions
  • Figure 2
    Figure 2
    Dependence of spectroscopic and microstructural features and parameters from spectral analysis on molecular weight of neat P3HT architectures. (a) Free-exciton bandwidth W, derived from absorption spectra at room temperature. (b) Relative intensity of the 0-0 PL band α and effective Huang-Rhys parameter λeff2, derived from photoluminescence spectra at 10 K. (c) Melting temperature Tm and enthalpy of fusion ΔHf, derived from differential scanning calorimetry measurements.Reuse & Permissions
  • Figure 3
    Figure 3
    Time-resolved photoluminescence intensity measured at room temperature for various neat P3HT films, measured at photon energy of 1.90 eV (a) and 1.77 eV (b). The normalized ratio I0-0/I0-1 is plotted in (c).Reuse & Permissions
  • Figure 4
    Figure 4
    Calculated effective Huang-Rhys parameter as a function of intramolecular and intermolecular coupling. (a) λeff2 as a function of |Jintra| for a single polymer chain containing 10 thiophene units with λ02=2. Several disorder parameters β are shown, with σ = 0.54 ω0. (b) λeff2 as a function of interchain coupling for 10 by 6 aggregates of high- and low-molecular-weight chains with β = 0.6.Reuse & Permissions
  • Figure 5
    Figure 5
    Values of (β, Jintra) for which the effective HR factor, λeff2 is constant at 1.0 and 1.3 for single (isolated) chains of low and high Mw, respectively. Each chain contains ten thiophene rings (sufficient for convergence) and the ensemble average included 104 configurations. For the low (high) Mw chains, the value of σ is 0.60ω0 (0.54 ω0) as determined from the absorption spectral linewidths.Reuse & Permissions
  • Figure 6
    Figure 6
    Calculated PL spectra for selected triple points from Table for materials of molecular weights in the low- (a) and high-Mw (b) limits. Ensemble averaging includes 104 configurations of disorder (T = 10 K).Reuse & Permissions
  • Figure 7
    Figure 7
    The 0-0/0-1 PL ratio as a function of temperature for selected triple points (see Table ) for P3HT thin films of high and low Mw. Also shown is the experimental data for the 447 kg/mol film (a) and 8 kg/mol (b) at T = 10 K.Reuse & Permissions
  • Figure 8
    Figure 8
    Coherence function from Eq. (13) for low- and high-Mw samples and β = 0.6. Calculations are conducted on 6 by 10 aggregates (six chains each containing ten thiophene rings).Reuse & Permissions
  • Figure 9
    Figure 9
    Coherence size defined in Eq. (11) as a function of disorder parameter β for P3HT films of low and high Mw at T = 10 K. Each point corresponds to triple point of Table . Calculations are conducted on 6 by 10 aggregates (six chains each containing ten thiophene rings).Reuse & Permissions
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