Journal Home > Volume 16 , Issue 2

Charge transfer and transport properties are crucial in the photophysical process of exciton dissociation and recombination at the donor/acceptor (D/A) interface. Herein, machine learning (ML) is applied to predict the charge transfer state energy (ECT) and identify the relationship between ECT and intermolecular packing structures sampled from molecular dynamics (MD) simulations on fullerene- and non-fullerene-based systems with different D/A ratios (RDA), oligomer sizes, and D/A pairs. The gradient boosting regression (GBR) exhibits satisfactory performance (r = 0.96) in predicting ECT with π-packing related features, aggregation extent, backbone of donor, and energy levels of frontier molecular orbitals. The charge transport property affected by π-packing with different RDA has also been investigated by space-charge-limited current (SCLC) measurement and MD simulations. The SCLC results indicate an improved hole transport of non-fullerene system PM6/Y6 with RDA of 1.2:1 in comparison with the 1:1 counterpart, which is mainly attributed to the bridge role of donor unit in Y6. The reduced energetic disorder is correlated with the improved miscibility of polymer with RDA increased from 1:1 to 1.2:1. The morphology-related features are also applicable to other complicated systems, such as perovskite solar cells, to bridge the gap between device performance and microscopic packing structures.


menu
Abstract
Full text
Outline
Electronic supplementary material
About this article

Machine learning assisted prediction of charge transfer properties in organic solar cells by using morphology-related descriptors

Show Author's information Lulu Fu1,3Haixia Hu2Qiang Zhu1Lifeng Zheng1Yuming Gu1Yaping Wen1Haibo Ma1Hang Yin2( )Jing Ma1,3( )
Key Laboratory of Mesoscopic Chemistry of Ministry of Education, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, China
School of Physics, Shandong University, Jinan 250100, China
Jiangsu Key Laboratory of Advanced Organic Materials, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, China

Abstract

Charge transfer and transport properties are crucial in the photophysical process of exciton dissociation and recombination at the donor/acceptor (D/A) interface. Herein, machine learning (ML) is applied to predict the charge transfer state energy (ECT) and identify the relationship between ECT and intermolecular packing structures sampled from molecular dynamics (MD) simulations on fullerene- and non-fullerene-based systems with different D/A ratios (RDA), oligomer sizes, and D/A pairs. The gradient boosting regression (GBR) exhibits satisfactory performance (r = 0.96) in predicting ECT with π-packing related features, aggregation extent, backbone of donor, and energy levels of frontier molecular orbitals. The charge transport property affected by π-packing with different RDA has also been investigated by space-charge-limited current (SCLC) measurement and MD simulations. The SCLC results indicate an improved hole transport of non-fullerene system PM6/Y6 with RDA of 1.2:1 in comparison with the 1:1 counterpart, which is mainly attributed to the bridge role of donor unit in Y6. The reduced energetic disorder is correlated with the improved miscibility of polymer with RDA increased from 1:1 to 1.2:1. The morphology-related features are also applicable to other complicated systems, such as perovskite solar cells, to bridge the gap between device performance and microscopic packing structures.

Keywords: machine learning, charge transfer, charge transport, organic solar cells, packing modes

References(77)

[1]

Zheng, Z.; Awartani, O. M.; Gautam, B.; Liu, D. L.; Qin, Y. P.; Li, W. N.; Bataller, A.; Gundogdu, K.; Ade, H.; Hou, J. H. Efficient charge transfer and fine-tuned energy level alignment in a THF-processed fullerene-free organic solar cell with 11.3% efficiency. Adv. Mater. 2017, 29, 1604241.

[2]

Hou, J. H.; Inganäs, O.; Friend, R. H.; Gao, F. Organic solar cells based on non-fullerene acceptors. Nat. Mater. 2018, 17, 119–128.

[3]

Yu, G.; Gao, J.; Hummelen, J. C.; Wudl, F.; Heeger, A. J. Polymer photovoltaic cells: Enhanced efficiencies via a network of internal donor–acceptor heterojunctions. Science 1995, 270, 1789–1791.

[4]

Park, S.; Kim, T.; Yoon, S.; Koh, C. W.; Woo, H. Y.; Son, H. J. Progress in materials, solution processes, and long-term stability for large-area organic photovoltaics. Adv. Mater. 2020, 32, 2002217.

[5]

Qiu, Z.; Hammer, B. A. G.; Müllen, K. Conjugated polymers—Problems and promises. Prog. Polym. Sci. 2020, 100, 101179.

[6]

Lee, C.; Lee, S.; Kim, G. U.; Lee, W.; Kim, B. J. Recent advances, design guidelines, and prospects of all-polymer solar cells. Chem. Rev. 2019, 119, 8028–8086.

[7]
DangM. T.HirschL.WantzG. P3HT:PCBM, best seller in polymer photovoltaic researchAdv. Mater.2011233597360210.1002/adma.201100792

Dang, M. T.; Hirsch, L.; Wantz, G. P3HT:PCBM, best seller in polymer photovoltaic research. Adv. Mater. 2011, 23, 3597–3602.

[8]

Caddeo, C.; Filippetti, A.; Bosin, A.; Videlot-Ackermann, C.; Ackermann, J.; Mattoni, A. Theoretical insight on PTB7:PC71BM, PTB7-th:PC71BM and Si-PCPDTBT:PC71BM interactions governing blend nanoscale morphology for efficient solar cells. Nano Energy 2021, 82, 105708.

[9]

Lin, Y. Z.; Wang, J. Y.; Zhang, Z. G.; Bai, H. T.; Li, Y. F.; Zhu, D. B.; Zhan, X. W. An electron acceptor challenging fullerenes for efficient polymer solar cells. Adv. Mater. 2015, 27, 1170–1174.

[10]

Yuan, J.; Zhang, Y. Q.; Zhou, L. Y.; Zhang, G. C.; Yip, H. L.; Lau, T. K.; Lu, X. H.; Zhu, C.; Peng, H. J.; Johnson, P. A. et al. Single-junction organic solar cell with over 15% efficiency using fused-ring acceptor with electron-deficient core. Joule 2019, 3, 1140–1151.

[11]

Sahu, H.; Yang, F.; Ye, X. B.; Ma, J.; Fang, W. H.; Ma, H. B. Designing promising molecules for organic solar cells via machine learning assisted virtual screening. J. Mater. Chem. A 2019, 7, 17480–17488.

[12]

Wen, Y. P.; Fu, L. L.; Li, G. Q.; Ma, J.; Ma, H. B. Accelerated discovery of potential organic dyes for dye-sensitized solar cells by interpretable machine learning models and virtual screening. Sol. RRL 2020, 4, 2000110.

[13]

Zhang, Q.; Zheng, Y. J.; Sun, W. B.; Ou, Z. P.; Odunmbaku, O.; Li, M.; Chen, S. S.; Zhou, Y. L.; Li, J.; Qin, B. et al. High-efficiency non-fullerene acceptors developed by machine learning and quantum chemistry. Adv. Sci. (Weinh.) 2022, 9, 2104742.

[14]

Lee, M. H. Insights from machine learning techniques for predicting the efficiency of fullerene derivatives-based ternary organic solar cells at ternary blend design. Adv. Energy Mater. 2019, 9, 1900891.

[15]

Zhao, Z. W.; del Cueto, M.; Geng, Y.; Troisi, A. Effect of increasing the descriptor set on machine learning prediction of small molecule-based organic solar cells. Chem. Mater. 2020, 32, 7777–7787.

[16]

Sun, W. B.; Zheng, Y. J.; Yang, K.; Zhang, Q.; Shah, A. A.; Wu, Z.; Sun, Y. Y.; Feng, L.; Chen, D. Y.; Xiao, Z. Y. et al. Machine learning-assisted molecular design and efficiency prediction for high-performance organic photovoltaic materials. Sci. Adv. 2019, 5, eaay4275.

[17]

Nagasawa, S.; Al-Naamani, E.; Saeki, A. Computer-aided screening of conjugated polymers for organic solar cell: Classification by random forest. J. Phys. Chem. Lett. 2018, 9, 2639–2646.

[18]

Kranthiraja, K.; Saeki, A. Experiment-oriented machine learning of polymer: Non-fullerene organic solar cells. Adv. Funct. Mater. 2021, 31, 2011168.

[19]

Padula, D.; Troisi, A. Concurrent optimization of organic donor–acceptor pairs through machine learning. Adv. Energy Mater. 2019, 9, 1902463.

[20]

Lee, M. H. A machine learning-based design rule for improved open-circuit voltage in ternary organic solar cells. Adv. Intell. Syst. 2020, 2, 1900108.

[21]

Padula, D.; Simpson, J. D.; Troisi, A. Combining electronic and structural features in machine learning models to predict organic solar cells properties. Mater. Horiz. 2019, 6, 343–349.

[22]

Sahu, H.; Ma, H. B. Unraveling correlations between molecular properties and device parameters of organic solar cells using machine learning. J. Phys. Chem. Lett. 2019, 10, 7277–7284.

[23]

Rodríguez-Martínez, X.; Pascual-San-José, E.; Fei, Z. P.; Heeney, M.; Guimerà, R.; Campoy-Quiles, M. Predicting the photocurrent–composition dependence in organic solar cells. Energy Environ. Sci. 2021, 14, 986–994.

[24]

Deibel, C.; Strobel, T.; Dyakonov, V. Role of the charge transfer state in organic donor–acceptor solar cells. Adv. Mater. 2010, 22, 4097–4111.

[25]

Vandewal, K. Interfacial charge transfer states in condensed phase systems. Annu. Rev. Phys. Chem. 2016, 67, 113–133.

[26]

Lin, Y. L.; Fusella, M. A.; Rand, B. P. The impact of local morphology on organic donor/acceptor charge transfer states. Adv. Energy Mater. 2018, 8, 1702816.

[27]

Gao, F.; Inganäs, O. Charge generation in polymer-fullerene bulk-heterojunction solar cells. Phys. Chem. Chem. Phys. 2014, 16, 20291–20304.

[28]

Rinderle, M.; Kaiser, W.; Mattoni, A.; Gagliardi, A. Machine-learned charge transfer integrals for multiscale simulations in organic thin films. J. Phys. Chem. C 2020, 124, 17733–17743.

[29]

Brian, D.; Sun, X. Charge-transfer landscape manifesting the structure–rate relationship in the condensed phase via machine learning. J. Phys. Chem. B 2021, 125, 13267–13278.

[30]

Coropceanu, V.; Chen, X. K.; Wang, T. H.; Zheng, Z. L.; Brédas, J. L. Charge-transfer electronic states in organic solar cells. Nat. Rev. Mater. 2019, 4, 689–707.

[31]

Rao, A.; Chow, P. C. Y.; Gélinas, S.; Schlenker, C. W.; Li, C. Z.; Yip, H. L.; Jen, A. K. Y.; Ginger, D. S.; Friend, R. H. The role of spin in the kinetic control of recombination in organic photovoltaics. Nature 2013, 500, 435–439.

[32]

Mishra, A.; Bäuerle, P. Small molecule organic semiconductors on the move: Promises for future solar energy technology. Angew. Chem., Int. Ed. 2012, 51, 2020–2067.

[33]

Zhu, L.; Zhang, M.; Zhou, G. Q.; Hao, T. Y.; Xu, J. Q.; Wang, J.; Qiu, C. Q.; Prine, N.; Ali, J.; Feng, W. et al. Efficient organic solar cell with 16.88% efficiency enabled by refined acceptor crystallization and morphology with improved charge transfer and transport properties. Adv. Energy Mater. 2020, 10, 1904234.

[34]

Wang, T. H.; Kupgan, G.; Brédas, J. L. Organic photovoltaics: Relating chemical structure, local morphology, and electronic properties. Trends Chem. 2020, 2, 535–554.

[35]

Liang, Y. Y.; Xu, Z.; Xia, J. B.; Tsai, S. T.; Wu, Y.; Li, G.; Ray, C.; Yu, L. P. For the bright future—Bulk heterojunction polymer solar cells with power conversion efficiency of 7.4%. Adv. Mater. 2010, 22, E135–E138.

[36]

Lou, S. J.; Szarko, J. M.; Xu, T.; Yu, L. P.; Marks, T. J.; Chen, L. X. Effects of additives on the morphology of solution phase aggregates formed by active layer components of high-efficiency organic solar cells. J. Am. Chem. Soc. 2011, 133, 20661–20663.

[37]

Zhu, W. G.; Spencer, A. P.; Mukherjee, S.; Alzola, J. M.; Sangwan, V. K.; Amsterdam, S. H.; Swick, S. M.; Jones, L. O.; Heiber, M. C.; Herzing, A. A. et al. Crystallography, morphology, electronic structure, and transport in non-fullerene/non-indacenodithienothiophene polymer: Y6 solar cells. J. Am. Chem. Soc. 2020, 142, 14532–14547.

[38]

Li, M. Y.; Pan, Y. Q.; Sun, G. Y.; Geng, Y. Charge transfer mechanisms regulated by the third component in ternary organic solar cells. J. Phys. Chem. Lett. 2021, 12, 8982–8990.

[39]

Pan, Q. Q.; Li, S. B.; Duan, Y. C.; Wu, Y.; Zhang, J.; Geng, Y.; Zhao, L.; Su, Z. M. Exploring what prompts ITIC to become a superior acceptor in organic solar cell by combining molecular dynamics simulation with quantum chemistry calculation. Phys. Chem. Chem. Phys. 2017, 19, 31227–31235.

[40]

Bai, R. R.; Zhang, C. R.; Liu, Z. J.; Chen, X. K.; Wu, Y. Z.; Wang, W.; Chen, H. S. Electric field effects on organic photovoltaic heterojunction interfaces: The model case of pentacene/C60. Comput. Theor. Chem. 2020, 1186, 112914.

[41]

Liu, C.; Wang, K.; Gong, X.; Heeger, A. J. Low bandgap semiconducting polymers for polymeric photovoltaics. Chem. Soc. Rev. 2016, 45, 4825–4846.

[42]

Wang, T. H.; Brédas, J. L. Organic photovoltaics: Understanding the preaggregation of polymer donors in solution and its morphological impact. J. Am. Chem. Soc. 2021, 143, 1822–1835.

[43]

Wang, T. H.; Brédas, J. L. Organic solar cells based on non-fullerene small-molecule acceptors: Impact of substituent position. Matter 2020, 2, 119–135.

[44]

Liu, Y.; Xian, K. H.; Peng, Z. X.; Gao, M. Y.; Shi, Y. B.; Deng, Y. F.; Geng, Y. H.; Ye, L. Tuning the molar mass of P3HT via direct arylation polycondensation yields optimal interaction and high efficiency in nonfullerene organic solar cells. J. Mater. Chem. A 2021, 9, 19874–19885.

[45]

Lv, J.; Tang, H.; Huang, J. M.; Yan, C. Q.; Liu, K.; Yang, Q. G.; Hu, D. Q.; Singh, R.; Lee, J.; Lu, S. R. et al. Additive-induced miscibility regulation and hierarchical morphology enable 17.5% binary organic solar cells. Energy Environ. Sci. 2021, 14, 3044–3052.

[46]

Zhou, N. J.; Dudnik, A. S.; Li, T. I. N. G.; Manley, E. F.; Aldrich, T. J.; Guo, P. J.; Liao, H. C.; Chen, Z. H.; Chen, L. X.; Chang, R. P. H. et al. All-polymer solar cell performance optimized via systematic molecular weight tuning of both donor and acceptor polymers. J. Am. Chem. Soc. 2016, 138, 1240–1251.

[47]

Zhang, L.; Huang, X. L.; Duan, C. H.; Peng, Z. X.; Ye, L.; Kirby, N.; Huang, F.; Cao, Y. Morphology evolution with polymer chain propagation and its impacts on device performance and stability of non-fullerene solar cells. J. Mater. Chem. A 2021, 9, 556–565.

[48]

Liu, F.; Chen, D.; Wang, C.; Luo, K. Y.; Gu, W. Y.; Briseno, A. L.; Hsu, J. W. P.; Russell, T. P. Molecular weight dependence of the morphology in P3HT: PCBM solar cells. ACS Appl. Mater. Interfaces 2014, 6, 19876–19887.

[49]
Bhalla, D. Ensemble Learning: Boosting and Bagging [Online]. 2015. https://www.listendata.com/2015/03/ensemble-learning-boosting-and-bagging.html(aaccessed July 16, 2022).
[50]

Priyadarshi, R.; Panigrahi, A.; Routroy, S.; Garg, G. K. Demand forecasting at retail stage for selected vegetables: A performance analysis. J. Modell. Manage. 2019, 14, 1042–1063.

[51]

Graham, K. R.; Cabanetos, C.; Jahnke, J. P.; Idso, M. N.; El Labban, A.; Ngongang Ndjawa, G. O.; Heumueller, T.; Vandewal, K.; Salleo, A.; Chmelka, B. F. et al. Importance of the donor: Fullerene intermolecular arrangement for high-efficiency organic photovoltaics. J. Am. Chem. Soc. 2014, 136, 9608–9618.

[52]

Yang, B.; Yi, Y. P.; Zhang, C. R.; Aziz, S. G.; Coropceanu, V.; Brédas, J. L. Impact of electron delocalization on the nature of the charge-transfer states in model pentacene/C60 interfaces: A density functional theory study. J. Phys. Chem. C 2014, 118, 27648–27656.

[53]

Perdigón-Toro, L.; Zhang, H. T.; Markina, A.; Yuan, J.; Hosseini, S. M.; Wolff, C. M.; Zuo, G. Z.; Stolterfoht, M.; Zou, Y. P.; Gao, F. et al. Barrierless free charge generation in the high-performance PM6: Y6 bulk heterojunction non-fullerene solar cell. Adv. Mater. 2020, 32, 1906763.

[54]

Hu, H. X.; Fu, L. L.; Zhang, K. N.; Gao, K.; Ma, J.; Hao, X. T.; Yin, H. Observing halogen-bond-assisted electron transport in high-performance polymer solar cells. Appl. Phys. Lett. 2021, 119, 183302.

[55]

Li, N.; Perea, J. D.; Kassar, T.; Richter, M.; Heumueller, T.; Matt, G. J.; Hou, Y.; Güldal, N. S.; Chen, H. W.; Chen, S. et al. Abnormal strong burn-in degradation of highly efficient polymer solar cells caused by spinodal donor–acceptor demixing. Nat. Commun. 2017, 8, 14541.

[56]

Gasperini, A.; Sivula, K. Effects of molecular weight on microstructure and carrier transport in a semicrystalline poly(thieno)thiophene. Macromolecules 2013, 46, 9349–9358.

[57]
YaoH. F.CuiY.QianD. P.PonsecaC. S. Jr.HonarfarA.XuY.XinJ. M.ChenZ. Y.HongL.GaoB. W. 14.7% efficiency organic photovoltaic cells enabled by active materials with a large electrostatic potential differenceJ. Am. Chem. Soc.20191417743775010.1021/jacs.8b12937

Yao, H. F.; Cui, Y.; Qian, D. P.; Ponseca, C. S. Jr.; Honarfar, A.; Xu, Y.; Xin, J. M.; Chen, Z. Y.; Hong, L.; Gao, B. W. et al. 14.7% efficiency organic photovoltaic cells enabled by active materials with a large electrostatic potential difference. J. Am. Chem. Soc. 2019, 141, 7743–7750.

[58]

Xu, Y.; Yao, H. F.; Ma, L. J.; Hong, L.; Li, J. Y.; Liao, Q.; Zu, Y. F.; Wang, J. W.; Gao, M. Y.; Ye, L. et al. Tuning the hybridization of local exciton and charge-transfer states in highly efficient organic photovoltaic cells. Angew. Chem., Int. Ed. 2020, 59, 9004–9010.

[59]

Wei, Q. Y.; Yuan, J.; Yi, Y. P.; Zhang, C. F.; Zou, Y. P. Y6 and its derivatives: Molecular design and physical mechanism. Natl. Sci. Rev. 2021, 8, nwab121.

[60]

Han, G. C.; Guo, Y.; Ning, L.; Yi, Y. P. Improving the electron mobility of ITIC by end-group modulation: The role of fluorination and π-extension. Sol. RRL 2019, 3, 1800251.

[61]

Han, G. C.; Guo, Y.; Song, X. X.; Wang, Y.; Yi, Y. P. Terminal π–π stacking determines three-dimensional molecular packing and isotropic charge transport in an A–π–A electron acceptor for non-fullerene organic solar cells. J. Mater. Chem. C 2017, 5, 4852–4857.

[62]

Ho, C. H. Y.; Cheung, S. H.; Li, H. W.; Chiu, K. L.; Cheng, Y. H.; Yin, H.; Chan, M. H.; So, F.; Tsang, S. W.; So, S. K. Using ultralow dosages of electron acceptor to reveal the early stage donor–acceptor electronic interactions in bulk heterojunction blends. Adv. Energy Mater. 2017, 7, 1602360.

[63]

Zhang, T.; Nakajima, T.; Cao, H. H.; Sun, Q.; Ban, H. X.; Pan, H.; Yu, H. X.; Zhang, Z. G.; Zhang, X. L.; Shen, Y. et al. Controlling quantum-well width distribution and crystal orientation in two-dimensional tin halide perovskites via a strong interlayer electrostatic interaction. ACS Appl. Mater. Interfaces 2021, 13, 49907–49915.

[64]

Li, H. Y.; Song, J. M.; Pan, W. T.; Xu, D. R.; Zhu, W. A.; Wei, H. T.; Yang, B. Sensitive and stable 2D perovskite single-crystal X-ray detectors enabled by a supramolecular anchor. Adv. Mater. 2020, 32, 2003790.

[65]

Chirvony, V. S.; Suárez, I.; Rodríguez-Romero, J.; Vázquez-Cárdenas, R.; Sanchez-Diaz, J.; Molina-Sánchez, A.; Barea, E. M.; Mora-Seró, I.; Martínez-Pastor, J. P. Inhomogeneous broadening of photoluminescence spectra and kinetics of nanometer-thick (phenethylammonium)2PbI4 perovskite thin films: Implications for optoelectronics. ACS Appl. Nano Mater. 2021, 4, 6170–6177.

[66]

Wang, P. X.; Najarian, A. M.; Hao, Z. M.; Johnston, A.; Voznyy, O.; Hoogland, S.; Sargent, E. H. Structural distortion and bandgap increase of two-dimensional perovskites induced by trifluoromethyl substitution on spacer cations. J. Phys. Chem. Lett. 2020, 11, 10144–10149.

[67]

Cortecchia, D.; Mróz, W.; Neutzner, S.; Borzda, T.; Folpini, G.; Brescia, R.; Petrozza, A. Defect engineering in 2D perovskite by Mn(II) doping for light-emitting applications. Chem 2019, 5, 2146–2158.

[68]

Li, Y. Z.; Ji, C. M.; Li, L. N.; Wang, S. S.; Han, S. G.; Peng, Y.; Zhang, S. H.; Luo, J. H. (γ-Methoxy propyl amine)2PbBr4: A novel two-dimensional halide hybrid perovskite with efficient bluish white-light emission. Inorg. Chem. Front. 2021, 8, 2119–2124.

[69]

Salomon-Ferrer, R.; Case, D. A.; Walker, R. C. An overview of the Amber biomolecular simulation package. WIREs Comput. Mol. Sci. 2013, 3, 198–210.

[70]

Götz, A. W.; Williamson, M. J.; Xu, D.; Poole, D.; Le Grand, S.; Walker, R. C. Routine microsecond molecular dynamics simulations with AMBER on GPUs. 1. Generalized born. J. Chem. Theory Comput. 2012, 8, 1542–1555.

[71]

Salomon-Ferrer, R.; Götz, A. W.; Poole, D.; Le Grand, S.; Walker, R. C. Routine microsecond molecular dynamics simulations with AMBER on GPUs. 2. Explicit solvent particle mesh Ewald. J. Chem. Theory Comput. 2013, 9, 3878–3888.

[72]

Wang, J. M.; Wolf, R. M.; Caldwell, J. W.; Kollman, P. A.; Case, D. A. Development and testing of a general amber force field. J. Comput. Chem. 2004, 25, 1157–1174.

[73]

Hwang, M. J.; Stockfisch, T. P.; Hagler, A. T. Derivation of class II force fields. 2. Derivation and characterization of a class II force field, CFF93, for the alkyl functional group and alkane molecules. J. Am. Chem. Soc. 1994, 116, 2515–2525.

[74]

Sun, H. Ab initio calculations and force field development for computer simulation of polysilanes. Macromolecules 1995, 28, 701–712.

[75]

Sun, H.; Mumby, S. J.; Maple, J. R.; Hagler, A. T. Ab initio calculations on small molecule analogs of polycarbonates. J. Phys. Chem. 1995, 99, 5873–5882.

[76]

Grimme, S.; Antony, J.; Ehrlich, S.; Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H–Pu. J. Chem. Phys. 2010, 132, 154104.

[77]
Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Scalmani, G.; Barone, V.; Petersson, G. A.; Nakatsuji, H. et al. Gaussian 16; Gaussian, Inc.: Wallingford, 2016.
File
12274_2022_5000_MOESM1_ESM.pdf (3.2 MB)
Publication history
Copyright
Acknowledgements

Publication history

Received: 01 July 2022
Revised: 12 August 2022
Accepted: 02 September 2022
Published: 14 October 2022
Issue date: February 2023

Copyright

© Tsinghua University Press 2022

Acknowledgements

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 22033004 and 21873045). We are grateful to the High Performance Computing Centre of Nanjing University for providing the IBM Blade cluster system.

Return