Abstract
Based on the previously obtained data [1, 2], according to which the photoelectric quantum yield (Y) in crystals of the β-form of metal-free phthalocyanine and copper phthalocyanine is the same for electrons and holes and has an Arrhenius temperature dependence with an activation energy EY equal to the difference between the band gap and the molecular exciton (ME) energy, a three-dimensional stochastic model of thermal ionization of MEs is proposed, which is considered as a sequence of reversible transitions from the ME to the lowest charge-transfer (CT) state and then to a CT state with an increasing charge-transfer distance. A relationship has been found between EY and the radial density of CT states at which the probability of charge separation is greater than that of the decay of these states.
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REFERENCES
Usov, N.N. and Benderskii, V.A., Phys. Status Solidi B, 1970, vol. 37, p. 535.
Benderskii, V.A., Belkind, A.I., Fedorov, M.I., and Aleksandrov, S.B., Fiz. Tverd. Tela, 1972, vol. 14, p. 790.
Liaou, H.-C., Chen, P.-H., Chang, R.P.H., and Su, W.-F., Polymers, 2014, vol. 6, p. 2784.
Lee, C.-H., Lee, G.-H., Zande, A.M., Chen, W., Han, M., Cui, X., Arefe, G., Nuckolis, C., Heinz, T.F., Guo, J., Hone, J., and Kim, P., Nat. Nanotechnol., 2014, vol. 9, p. 676.
Elumalai, N.K. and Uddin, A., Energy Environ. Sci., 2016, vol. 9, p. 391.
Ganesamoorthy, R., Sathiyan, G., and Sakthivel, P., Sol. Energy Mater. Sol. Cells, 2017, vol. 161, p. 102.
Trindade, A.J. and Pereira, L., Int. J. Photoenergy, 2017, article ID 1364152.
Gaspar, H., Figueira, F., Pereira, L., Mendes, A., Viana, J.C., and Bernardo, G., Materials, 2018, vol. 11, p. 2560.
Coropceanu, V., Chen, X.-K., Wang, T., Zheng, Z., and Bredas, J.-L., Nat. Rev. Mater., 2019, vol. 4, p. 689.
Fan, B., Zhong, W., Ying, L., Zhang, D., Li, M., Lin, Y., Xia, R., Liu, F., Yip, H.-L., Li, H., Ma, Y., Brabec, C.J., Huang, F., and Cao, Y., Nat. Commun., 2019, vol. 10, p. 1038.
Sun, H., Chen, F., and Chen, Z.-K., Mater. Today, 2019, vol. 24, p. 94.
Suman and Singh, S.P., J. Mater. Chem. A, 2019, vol. 7, p. 22701.
Ferron, T., Waldrip, M., Pope, M., and Collins, B.A., J. Mater. Chem. A, 2019, vol. 7, p. 536.
Li, M., Chen, J.-S., and Cotlet, M., ACS Energy Lett., 2019, vol. 4, p. 2323.
McKeown, N.B., Phthalocyanine Materials, Cambridge: Cambridge Univ. Press, 1998.
Walter, M.G., Rudine, A.B., and Wamser, C.C., J. Porphyrins Phthalocyanines, 2010, vol. 14, p. 759.
Wipps, K.W. and Mazur, U., J. Porphyrins Phthalocyanines, 2012, vol. 16, p. 273.
Zou, T., Wang, X., Ju, H., Zhao, L., Guo, T., Wu, W., and Wang, H., Crystals, 2018, vol. 8, p. 1.
Agranovich, V.M., Excitations in Organic Solids, New York: AIP, 2008.
Bondarev, I.V., Popescu, A., Younts, R.A., Hoffman, B., McAfee, T., Dougherty, D.B., Gundogdu, K., and Ade, H.W, Appl. Phys. Lett., 2016, vol. 109, p. 213302.
Hiramoto, M., Kubo, M., Shinmura, Y., Ishiyama, N., Kaji, T., Sakai, K., and Izaki, M., Elecronics, 2014, vol. 3, p. 351.
Lalov, I.J., Warns, C., and Reineker, P., New J. Phys., 2008, vol. 10, no. 085006.
Guan, Y.-S., Zhang, Z., Pan, J., Jan, Q., and Ren, S., J. Mater. Chem. C, 2017, p. 12338.
Usman, R., Khan, A., Wang, M., Luo, Y., Sun, W., Sun, H., Du, C., and He, N., Crystal Growth Design, 2018, vol. 18, p. 6001.
Merrifield, R.E., J. Chem. Phys., 1961, vol. 34, p. 1835.
Benderskii, V.A., Blyumenfel’d, L.A., and Popov, D.A., Zh. Strukt. Khim., 1966, vol. 7, p. 370.
Zoos, Z.G., Annu. Rev. Phys. Chem., 1974, vol. 25, p. 121.
Hill, I.G., Kahn, A., Soos, Z.G., and Pascal, R.A., Chem. Phys. Lett., 2000, vol. 327, p. 181.
Benderskii, V.A. and Kats, E.I., JETP Lett., 2015, vol. 101, p. 17.
Benderskii, V.A. and Kats, E.I., J. Exp. Theor. Phys., 2018, vol. 127, p. 566.
Mehta, M.L., Random Matrices, New York: Academic, 1968.
Papenbrock, T. and Weidenmuller, H.A., Rev. Mod. Phys., 2007, vol. 79, p. 997.
Rodrigues, K.R., Shah, S., Williams, S.M., Teters-Kennedy, S., and Coe, J.V., J. Chem. Phys., 2004, vol. 121, p. 8671.
Benderskii, V.A., Gak, L.N., and Kats, E.I., J. Exp. Theor. Phys., 2009, vol. 108, p. 159.
Wattis, J.A.D., Physica D (Amsterdam), 2006, vol. 222, p. 1.
Ovchinnikov, A.A. and Ovchinnikova, M.Y., Adv. Quant. Chem., 1982, vol. 16, p. 161.
Benderskii, V.A. and Benderskii, A.V., Laser Electrochemistry of Intermediates, Boca Raton: CRC, 1995.
Zaslavskii, G.M., Stokhastichnost’ dinamicheskikh sistem (Stochasticity of Dynamic Systems), Moscow: Nauka, 1984.
Vishik, A.M., Kornfeld, I.P., and Sinai, Ya.G., Obshchaya ergodicheskaya teoriya dinamicheskikh sistem. Sovremennye problemy matematiki, T. 1 (Modern Problems of Mathematics, vol. 1: General Ergodic Theory of Dynamic Systems), Moscow: VINITI, 1985.
Chirikov, B.V., Phys. Rep., 1979, vol. 52, p. 527.
Benderskii, V.A. and Kats, E.I., High Energy Chem., 2020, vol. 54, no. 3, p. 175.
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The work was carried out on the topic of State assignment no. 0089-2019-0003.
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Benderskii, V.A., Kim, I.P. Photovoltaic Effect in Phthalocyanine-Based Organic Solar Cells: 1. Thermal Ionization of Molecular Excitons. High Energy Chem 54, 383–392 (2020). https://doi.org/10.1134/S0018143920050033
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DOI: https://doi.org/10.1134/S0018143920050033