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Intrinsic non-radiative voltage losses in fullerene-based organic solar cells

Abstract

Organic solar cells demonstrate external quantum efficiencies and fill factors approaching those of conventional photovoltaic technologies. However, as compared with the optical gap of the absorber materials, their open-circuit voltage is much lower, largely due to the presence of significant non-radiative recombination. Here, we study a large data set of published and new material combinations and find that non-radiative voltage losses decrease with increasing charge-transfer-state energies. This observation is explained by considering non-radiative charge-transfer-state decay as electron transfer in the Marcus inverted regime, being facilitated by a common skeletal molecular vibrational mode. Our results suggest an intrinsic link between non-radiative voltage losses and electron-vibration coupling, indicating that these losses are unavoidable. Accordingly, the theoretical upper limit for the power conversion efficiency of single-junction organic solar cells would be reduced to about 25.5% and the optimal optical gap increases to 1.45–1.65 eV, that is, 0.2–0.3 eV higher than for technologies with minimized non-radiative voltage losses.

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Figure 1: V OC and non-radiative voltage losses as a function of ECT.
Figure 2: Recombination mechanism from the excited CT state to the ground state.
Figure 3: Detailed analysis of exemplary emission spectra.

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References

  1. Park, S. H. et al. Bulk heterojunction solar cells with internal quantum efficiency approaching 100%. Nat. Photon. 3, 297–303 (2009).

    Article  Google Scholar 

  2. Liu, Y. et al. Aggregation and morphology control enables multiple cases of high-efficiency polymer solar cells. Nat. Commun. 5, 5293 (2014).

    Article  Google Scholar 

  3. Guo, X. et al. Polymer solar cells with enhanced fill factors. Nat. Photon. 7, 825–833 (2013).

    Article  Google Scholar 

  4. Zhao, J. et al. Efficient organic solar cells processed from hydrocarbon solvents. Nat. Energy 1, 15027 (2016).

    Article  Google Scholar 

  5. Green, M. A. Radiative efficiency of state-of-the-art photovoltaic cells. Prog. Photovolt. 20, 472–476 (2012).

    Article  Google Scholar 

  6. Tvingstedt, K. et al. Radiative efficiency of lead iodide based perovskite solar cells. Sci. Rep. 4, 6071 (2014).

    Article  Google Scholar 

  7. Würfel, P. Physics of Solar Cells: From Basic Principles to Advanced Concepts 2nd edn (Wiley-VCH, 2009).

    Google Scholar 

  8. Queisser, H. J. Detailed balance limit for solar cell efficiency. Mater. Sci. Eng. B 159–160, 322–328 (2009).

    Article  Google Scholar 

  9. Vandewal, K., Tvingstedt, K., Gadisa, A., Inganäs, O. & Manca, J. V. Relating the open-circuit voltage to interface molecular properties of donor:acceptor bulk heterojunction solar cells. Phys. Rev. B 81, 125204 (2010).

    Article  Google Scholar 

  10. Tvingstedt, K. & Deibel, C. Temperature dependence of ideality factors in organic solar cells and the relation to radiative efficiency. Adv. Energy Mater. 6, 1502230 (2016).

    Article  Google Scholar 

  11. Ran, N. A. et al. Harvesting the full potential of photons with organic solar cells. Adv. Mater. 28, 1482–1488 (2016).

    Article  Google Scholar 

  12. Liu, J. et al. Fast charge separation in a non-fullerene organic solar cell with a small driving force. Nat. Energy 1, 16089 (2016).

    Article  Google Scholar 

  13. Vandewal, K. et al. Quantification of quantum efficiency and energy losses in low bandgap polymer:fullerene solar cells with high open-circuit voltage. Adv. Funct. Mater. 22, 3480–3490 (2012).

    Article  Google Scholar 

  14. Wang, C. et al. Low band gap polymer solar cells with minimal voltage losses. Adv. Energy Mater. 6, 1600148 (2016).

    Article  Google Scholar 

  15. Vandewal, K. et al. Increased open-circuit voltage of organic solar cells by reduced donor-acceptor interface area. Adv. Mater. 26, 3839–3843 (2014).

    Article  Google Scholar 

  16. Rau, U. Reciprocity relation between photovoltaic quantum efficiency and electroluminescent emission of solar cells. Phys. Rev. B 76, 085303 (2007).

    Article  Google Scholar 

  17. Yao, J. et al. Quantifying losses in open-circuit voltage in solution-processable solar cells. Phys. Rev. Appl. 4, 014020 (2015).

    Article  Google Scholar 

  18. Gould, I. R. et al. Radiative and nonradiative electron transfer in contact radical-ion pairs. Chem. Phys. 176, 439–456 (1993).

    Article  Google Scholar 

  19. Englman, R. & Jortner, J. The energy gap law for radiationless transitions in large molecules. Mol. Phys. 18, 145–164 (1970).

    Article  Google Scholar 

  20. Kalyanasundaram, K. & Nazeeruddin, M. K. Tuning of the CT excited state and validity of the energy gap law in mixed ligand complexes of Ru(II) containing 4,4’-dicarboxy-2,2’-bipyridine. Chem. Phys. Lett. 193, 292–297 (1992).

    Article  Google Scholar 

  21. Siebrand, W. Radiationless transitions in polyatomic molecules. II. Triplet-ground-state transitions in aromatic hydrocarbons. J. Chem. Phys. 7, 2411–2422 (1967).

    Article  Google Scholar 

  22. Gould, I. R. & Farid, S. Radiationless decay in exciplexes with variable charge transfer. J. Phys. Chem. B 111, 6782–6787 (2007).

    Article  Google Scholar 

  23. Mataga, N. et al. First unequivocal observation of the whole bell-shaped energy gap law in intramolecular charge separation from S2 excited state of directly linked porphyrin-imide dyads and its solvent-polarity dependencies. J. Am. Chem. Soc. 123, 12422–12423 (2001).

    Article  Google Scholar 

  24. Shockley, W. & Queisser, H. J. Detailed balance limit of efficiency of p-n junction solar cells. J. Appl. Phys. 32, 510–519 (1961).

    Article  Google Scholar 

  25. Vandewal, K., Tvingstedt, K., Gadisa, A., Inganäs, O. & Manca, J. V. On the origin of the open-circuit voltage of polymer-fullerene solar cells. Nat. Mater. 8, 904–909 (2009).

    Article  Google Scholar 

  26. Piersimoni, F. et al. Influence of fullerene ordering on the energy of the charge-transfer state and open-circuit voltage in polymer:fullerene solar cells. J. Phys. Chem. C 115, 10873–10880 (2011).

    Article  Google Scholar 

  27. Vandewal, K. et al. Varying polymer crystallinity in nanofiber poly(3-alkylthiophene): PCBM solar cells: influence on charge-transfer state energy and open-circuit voltage. Appl. Phys. Lett. 95, 123303 (2009).

    Article  Google Scholar 

  28. Tietze, M. L. et al. Correlation of open-circuit voltage and energy levels in zinc-phthalocyanine:C60 bulk heterojunction solar cells with varied mixing ratio. Phys. Rev. B 88, 085119 (2013).

    Article  Google Scholar 

  29. Zhang, M., Wang, H., Tian, H., Geng, Y. & Tang, C. W. Bulk heterojunction photovoltaic cells with low donor concentration. Adv. Mater. 23, 4960–4964 (2011).

    Article  Google Scholar 

  30. Nitzan, A., Mukamel, S. & Jortner, J. Energy gap law for vibrational relaxation of a molecule in a dense medium. J. Chem. Phys. 63, 200–207 (1975).

    Article  Google Scholar 

  31. Wilson, J. S. et al. The energy gap law for triplet states in Pt-containing conjugated polymers and monomers. J. Am. Chem. Soc. 123, 9412–9417 (2001).

    Article  Google Scholar 

  32. Marcus, R. A. Electron transfer reactions in chemistry. Theory and experiment. Rev. Mod. Phys. 65, 599–610 (1993).

    Article  Google Scholar 

  33. Vandewal, K. et al. Charge-transfer absorption tails of photovoltaic donor:C60 blends provide insight into thermally activated vibrations and polaron relaxation. J. Am. Chem. Soc. 139, 1699–1704 (2017).

    Article  Google Scholar 

  34. Gould, I. R., Farid, S. & Young, R. H. Relationship between exciplex fluorescence and electron-transfer in radical ion-pairs. J. Photochem. Photobiol. A 65, 133–147 (1992).

    Article  Google Scholar 

  35. Kulinowski, K., Gould, I. R., Ferris, N. S. & Myers, A. B. Spectroscopic, kinetic, and thermodynamic deuterium isotope effects in the hexarnethylbenzeneltetracyanoethylene charge-transfer complex. J. Phys. Chem. 99, 17715–17723 (1995).

    Article  Google Scholar 

  36. Fang, L. et al. Thermally stable fluorine-containing low-energy-gap organic dyes with low voltage losses for organic solar cells. Synth. Met. 222, 232–239 (2016).

    Article  Google Scholar 

  37. Moench, T. et al. Influence of meso and nanoscale structure on the properties of highly efficient small molecule solar cells. Adv. Energy Mater. 6, 1501280 (2016).

    Article  Google Scholar 

  38. Koerner, C. et al. Probing the effect of substrate heating during deposition of DCV4T:C60 blend layers for organic solar cells. Org. Electron. 13, 623–631 (2012).

    Article  Google Scholar 

  39. Fitzner, R. et al. Correlation of pi-conjugated oligomer structure with film morphology and organic solar cell performance. J. Am. Chem. Soc. 134, 11064–11067 (2012).

    Article  Google Scholar 

  40. Wang, E. et al. Conformational disorder enhances solubility and photovoltaic performance of a thiophene-quinoxaline copolymer. Adv. Energy Mater. 3, 806–814 (2013).

    Article  Google Scholar 

  41. Vandewal, K. et al. The relation between open-circuit voltage and the onset of photocurrent generation by charge-transfer absorption in polymer:fullerene bulk heterojunction solar cells. Adv. Funct. Mater. 18, 2064–2070 (2008).

    Article  Google Scholar 

  42. Hoke, E. T. et al. Recombination in polymer: fullerene solar cells with open-circuit voltages approaching and exceeding 1.0 V. Adv. Energy Mater. 3, 220–230 (2013).

    Article  Google Scholar 

  43. Tang, Z. et al. A new fullerene-free bulk-heterojunction system for efficient high-voltage and high-fill factor solution-processed organic photovoltaics. Adv. Mater. 27, 1900–1907 (2015).

    Article  Google Scholar 

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Acknowledgements

This work was supported by the German Federal Ministry for Education and Research (BMBF) through the InnoProfille project ‘Organische p-i-n Bauelemente 2.2’. K.T. acknowledges the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme FP7 under the REA grant agreement PIEF-GA-2012-327199. F.P. and D.N. acknowledge funding by the German Research Foundation (DFG) via the SFB 951 ‘HIOS’. The work of Georgia Tech was supported by the Department of the Navy, Office of Naval Research Award No. N00014-14-1-0580 (CAOP MURI), and through a State-Sponsored Scholarship for Graduate Students to Y.F. from the China Scholarship Council. M.T. thanks the Christ Church Oxford for financial support with a Junior Research Fellowship. M.K.R. acknowledges the UK Engineering and Physical Science Research Council (EPSRC) through grant EP/L026066/1. Additionally, we thank for the supply of the donor molecules: P. Bäuerle from University of Ulm for DH4T, DH6T and several DCV2-nT, M. Hummert for P4-Ph4-DIP and BP-Bodipy, and B. Beyer for ZnF4Pc. Furthermore, we acknowledge F. Holzmueller, C. Koerner, M. Saalfrank and R. Meerheim for providing OSC devices for this study.

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Contributions

J.B., K.T., D.S. and K.V. designed the experiments, prepared photovoltaic devices and optimized their processing parameters for photovoltaic performance. J.B. measured the sensitive EQEPV spectra, K.T. measured the EQEEL, and F.P. measured the corresponding EL spectra. D.S., J.B. and S.U. performed the standard characterization of the solar cells. M.T., Y.F. and O.Z. synthesized donor molecules for low-ECT systems, important for this study. K.A.M. synthesized deuterated rubrene. D.N., S.B., S.R.M., M.K.R. and C.J.D. supervised their team members involved in the project. K.V. supervised the overall project. All authors contributed to analysis and writing.

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Correspondence to Johannes Benduhn, Kristofer Tvingstedt or Koen Vandewal.

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The authors declare no competing financial interests.

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Supplementary Notes 1–3, Supplementary Tables 1–6, Supplementary Figures 1–7 and Supplementary References. (PDF 1711 kb)

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Benduhn, J., Tvingstedt, K., Piersimoni, F. et al. Intrinsic non-radiative voltage losses in fullerene-based organic solar cells. Nat Energy 2, 17053 (2017). https://doi.org/10.1038/nenergy.2017.53

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