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Benchtop Autonomous Electrochemical Characterization System for Combinatorial Thin-Film Solid Oxide Electrodes

Jake D. Huang1,2,*, Meagan C. Papac2, Davi M. Fébba2, Ryan P. O’Hayre1, and Andriy Zakutayev2

  • *Contact author: jdhuang@mines.edu

PRX Energy 5, 013011 – Published 13 March, 2026

DOI: https://doi.org/10.1103/nkhy-y2nz

Abstract

The design of materials for electrochemical energy conversion is complicated by a vast search space of candidate materials and multifaceted property requirements: multicarrier conductivity, stability, and catalytic activity are all necessary but rarely intersect. Although self-driving laboratories are rapidly rising to address such material optimization problems, the required infrastructure for integrated, large-scale robotic facilities can be cost-prohibitive. Here we develop and evaluate a closed-loop measurement system for efficient screening of proton-conducting oxide electrodes for ceramic fuel cells and electrolyzers, building on top of an existing benchtop instrument and integrating techniques for rapid impedance measurement and automated analysis. This system exemplifies a “minimum viable” self-driving implementation that can deliver substantial benefits with relatively simple infrastructure. Combinatorial thin-film microelectrode libraries are characterized with a recently developed joint time-domain and frequency-domain impedance measurement technique, which provides an order-of-magnitude acceleration relative to conventional impedance spectroscopy. The distribution of relaxation times is extracted from impedance data and analyzed without human intervention. These results feed an active learning and Bayesian optimization process that learns to predict electrochemical impedance as a function of material composition, measurement temperature, oxygen partial pressure, and electrical bias, which further reduces the screening time by tenfold with optimized experimental sequences. We apply this system to Ba(Co,Fe,Zr,Y)O3−δ combinatorial libraries and evaluate its effectiveness for learning material property trends and optimizing expensive-to-evaluate properties such as activation energy. This offers insights into key methodological aspects of practical autonomous experimentation, including surrogate model validation, cost-aware acquisition functions, and high-throughput data interpretation. Our results demonstrate the efficacy of the system for rapidly gathering information, but also highlight real-world experimental challenges of thin-film degradation and numerical instability in surrogate models.

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References (57)

  1. J. H. Montoya, K. T. Winther, R. A. Flores, T. Bligaard, J. S. Hummelshøj, and M. Aykol, Autonomous intelligent agents for accelerated materials discovery, Chem. Sci. 11, 8517 (2020).
  2. S. G. Louie, Y. H. Chan, F. H. da Jornada, Z. Li, and D. Y. Qiu, Discovering and understanding materials through computation, Nat. Mater. 20, 728 (2021).
  3. E. Annevelink, R. Kurchin, E. Muckley, L. Kavalsky, V. I. Hegde, V. Sulzer, S. Zhu, J. Pu, D. Farina, M. Johnson, D. Gandhi, A. Dave, H. Lin, A. Edelman, B. Ramsundar, J. Saal, C. Rackauckas, V. Shah, B. Meredig, and V. Viswanathan, AutoMat: Automated materials discovery for electrochemical systems, MRS Bull. 47, 1036 (2022).
  4. A. Merchant, S. Batzner, S. S. Schoenholz, M. Aykol, G. Cheon, and E. D. Cubuk, Scaling deep learning for materials discovery, Nature 624, 80 (2023).
  5. A. Benayad, D. Diddens, A. Heuer, A. N. Krishnamoorthy, M. Maiti, F. L. Cras, M. Legallais, F. Rahmanian, Y. Shin, H. Stein, M. Winter, C. Wölke, P. Yan, and I. Cekic-Laskovic, High-throughput experimentation and computational freeway lanes for accelerated battery electrolyte and interface development research, Adv. Energy Mater. 12, 2102678 (2022).
  6. H. S. Stein, A. Sanin, F. Rahmanian, B. Zhang, M. Vogler, J. K. Flowers, L. Fischer, S. Fuchs, N. Choudhary, and L. Schroeder, From materials discovery to system optimization by integrating combinatorial electrochemistry and data science, Curr. Opin. Electrochem. 35, 101053 (2022).
  7. J. M. Gregoire, L. Zhou, and J. A. Haber, Combinatorial synthesis for AI-driven materials discovery, Nat. Synth. 2, 493 (2023).
  8. A. M. Lunt, H. Fakhruldeen, G. Pizzuto, L. Longley, A. White, N. Rankin, R. Clowes, B. Alston, L. Gigli, G. M. Day, A. I. Cooper, and S. Y. Chong, Modular, multi-robot integration of laboratories: An autonomous workflow for solid-state chemistry, Chem. Sci. 15, 2456 (2024).
  9. M. Abolhasani and E. Kumacheva, The rise of self-driving labs in chemical and materials sciences, Nat. Synth. 2, 483 (2023).
  10. G. Tom, S. P. Schmid, S. G. Baird, Y. Cao, K. Darvish, H. Hao, S. Lo, S. Pablo-García, E. M. Rajaonson, M. Skreta, N. Yoshikawa, S. Corapi, G. D. Akkoc, F. Strieth-Kalthoff, M. Seifrid, and A. Aspuru-Guzik, Self-driving laboratories for chemistry and materials science, Chem. Rev. 124, 9633 (2024).
  11. B. P. MacLeod, F. G. Parlane, C. C. Rupnow, K. E. Dettelbach, M. S. Elliott, T. D. Morrissey, T. H. Haley, O. Proskurin, M. B. Rooney, N. Taherimakhsousi, D. J. Dvorak, H. N. Chiu, C. E. Waizenegger, K. Ocean, M. Mokhtari, and C. P. Berlinguette, A self-driving laboratory advances the Pareto front for material properties, Nat. Commun. 13, 1 (2022).
  12. B. P. MacLeod, F. G. Parlane, T. D. Morrissey, F. Häse, L. M. Roch, K. E. Dettelbach, R. Moreira, L. P. Yunker, M. B. Rooney, J. R. Deeth, V. Lai, G. J. Ng, H. Situ, R. H. Zhang, M. S. Elliott, T. H. Haley, D. J. Dvorak, A. Aspuru-Guzik, J. E. Hein, and C. P. Berlinguette, Self-driving laboratory for accelerated discovery of thin-film materials, Sci. Adv. 6, 1 (2020).
  13. N. J. Szymanski, P. Nevatia, C. J. Bartel, Y. Zeng, and G. Ceder, Autonomous and dynamic precursor selection for solid-state materials synthesis, Nat. Commun. 14, 6956 (2023).
  14. N. J. Szymanski, B. Rendy, Y. Fei, R. E. Kumar, T. He, D. Milsted, M. J. McDermott, M. Gallant, E. D. Cubuk, A. Merchant, H. Kim, A. Jain, C. J. Bartel, K. Persson, Y. Zeng, and G. Ceder, An autonomous laboratory for the accelerated synthesis of inorganic materials, Nature 624, 86 (2023).
  15. F. Strieth-Kalthoff et al., Delocalized, asynchronous, closed-loop discovery of organic laser emitters, Science 384, eadk9227 (2024).
  16. M. Vogler, S. K. Steensen, F. F. Ramírez, L. Merker, J. Busk, J. M. Carlsson, L. H. Rieger, B. Zhang, F. Liot, G. Pizzi, et al., Autonomous battery optimization by deploying distributed experiments and simulations, Adv. Energy Mater. 14, 2403263 (2024).
  17. N. J. Szymanski, Y. Zeng, H. Huo, C. J. Bartel, H. Kim, and G. Ceder, Toward autonomous design and synthesis of novel inorganic materials, Mater. Horiz. 8, 2169 (2021).
  18. H. Joress, M. L. Green, I. Takeuchi, and J. R. Hattrick-Simpers, Applications of High Throughput (Combinatorial) Methodologies to Electronic, Magnetic, Structural, and Energy-Related Materials, edited by F. G. Caballero (Elsevier, Oxford, 2021), pp. 353–371.
  19. M. C. Papac, J. Huang, A. Zakutayev, and R. O’Hayre, Combinatorial impedance spectroscopy with Bayesian analysis for triple ionic-electronic conducting perovskites, J. Mater. Chem. A 11, 5267 (2023).
  20. R. Shimizu, S. Kobayashi, Y. Watanabe, Y. Ando, and T. Hitosugi, Autonomous materials synthesis by machine learning and robotics, APL Mater. 8, 111110 (2020).
  21. I. Ohkubo, Z. Hou, J. N. Lee, T. Aizawa, M. Lippmaa, T. Chikyow, K. Tsuda, and T. Mori, Realization of closed-loop optimization of epitaxial titanium nitride thin-film growth via machine learning, Mater. Today Phys. 16, 100296 (2021).
  22. Y. K. Wakabayashi, T. Otsuka, Y. Krockenberger, H. Sawada, Y. Taniyasu, and H. Yamamoto, Bayesian optimization with experimental failure for high-throughput materials growth, npj Comput. Mater. 8, 1 (2022).
  23. D. M. Fébba, K. R. Talley, K. Johnson, S. Schaefer, S. R. Bauers, J. S. Mangum, R. W. Smaha, and A. Zakutayev, Autonomous sputter synthesis of thin film nitrides with composition controlled by Bayesian optimization of optical plasma emission, APL Mater. 11, 071119 (2023).
  24. F. Ciucci, Modeling electrochemical impedance spectroscopy, Curr. Opin. Electrochem. 13, 132 (2019).
  25. S. Wang, J. Zhang, O. Gharbi, V. Vivier, M. Gao, and M. E. Orazem, Electrochemical impedance spectroscopy, Nat. Rev. Methods Primers 1 (2021).
  26. Q. Liang, A. E. Gongora, Z. Ren, A. Tiihonen, Z. Liu, S. Sun, J. R. Deneault, D. Bash, F. Mekki-Berrada, S. A. Khan, et al., Benchmarking the performance of Bayesian optimization across multiple experimental materials science domains, npj Comput. Mater. 7, 188 (2021).
  27. M. C. Papac, K. R. Talley, R. O’Hayre, and A. Zakutayev, Instrument for spatially resolved, temperature-dependent electrochemical impedance spectroscopy of thin films under locally controlled atmosphere, Rev. Sci. Instrum. 92, 065105 (2021).
  28. C. Duan, J. Tong, M. Shang, S. Nikodemski, M. Sanders, S. Ricote, A. Almansoori, and R. O’Hayre, Readily processed protonic ceramic fuel cells with high performance at low temperatures, Science 349, 1321 (2015).
  29. C. Duan, R. J. Kee, H. Zhu, C. Karakaya, Y. Chen, S. Ricote, A. Jarry, E. J. Crumlin, D. Hook, R. Braun, N. P. Sullivan, and R. O’Hayre, Highly durable, coking and sulfur tolerant, fuel-flexible protonic ceramic fuel cells, Nature 557, 217 (2018).
  30. J. D. Huang, C. Meisel, N. P. Sullivan, A. Zakutayev, and R. O’Hayre, Rapid mapping of electrochemical processes in energy-conversion devices, Joule 8, 2049 (2024).
  31. J. Huang, M. Papac, and R. O’Hayre, Towards robust autonomous impedance spectroscopy analysis: A calibrated hierarchical Bayesian approach for electrochemical impedance spectroscopy (EIS) inversion, Electrochim. Acta 367, 137493 (2021).
  32. J. D. Huang, N. P. Sullivan, A. Zakutayev, and R. O’Hayre, How reliable is distribution of relaxation times (DRT) analysis? A dual regression-classification perspective on DRT estimation, interpretation, and accuracy, Electrochim. Acta 443, 141879 (2023).
  33. Y. Shin, Y.-d. Kim, M. Sanders, S. P. Harvey, M. Walker, and R. O’Hayre, Tuning the Co/Fe ratio in BaCoxFe0.8−xZr0.1Y0.1O3−δ, a promising triple ionic and electronic conducting oxide, to boost electrolysis and fuel cell performance, J. Mater. Chem. A 10, 24839 (2022).
  34. See Supplemental Material http://link.aps.org/supplemental/10.1103/nkhy-y2nz, in which Refs. [53, 54, 55, 56, 57] are cited, for additional method details and supporting figures.
  35. J. Xia, C. Wang, X. Wang, L. Bi, and Y. Zhang, A perspective on DRT applications for the analysis of solid oxide cell electrodes, Electrochim. Acta 349, 136328 (2020).
  36. C. Plank, T. Rüther, L. Jahn, M. Schamel, J. P. Schmidt, F. Ciucci, and M. A. Danzer, A review on the distribution of relaxation times analysis: A powerful tool for process identification of electrochemical systems, J. Power Sources 594, 233845 (2024).
  37. T. Hastie, R. Tibshirani, and J. Friedman, The Elements of Statistical Learning: Data Mining, Inference, and Prediction (Springer, New York, 2009).
  38. D. Poetzsch, R. Merkle, and J. Maier, Oxygen reduction at dense thin-film microelectrodes on a proton-conducting electrolyte: I. Considerations on reaction mechanism and electronic leakage effects, J. Electrochem. Soc. 162, F939 (2015).
  39. S. Kullback and R. A. Leibler, On information and sufficiency, Ann. Math. Stat. 22, 79 (1951).
  40. B. Shahriari, K. Swersky, Z. Wang, R. P. Adams, and N. De Freitas, Taking the human out of the loop: A review of Bayesian optimization, Proc. IEEE 104, 148 (2016).
  41. J. Huang, M. Papac, D. Fébba, R. O’Hayre, and A. Zakutayev, Data and code repository for: A benchtop autonomous electrochemical characterization system for combinatorial thin-film solid oxide electrodes, Zenodo, https://doi.org/10.5281/zenodo.18679273 (2026).
  42. J. R. Gardner, G. Pleiss, D. Bindel, K. Q. Weinberger, and A. G. Wilson, in Advances in Neural Information Processing Systems (Neural Information Processing Systems Foundation, Inc. (NeurIPS), Montreal, Canada, 2018).
  43. M. Balandat, B. Karrer, D. R. Jiang, S. Daulton, B. Letham, A. G. Wilson, and E. Bakshy, in Advances in Neural Information Processing Systems (Neural Information Processing Systems Foundation, Inc. (NeurIPS), Vancouver, Canada, 2020), Vol. 33.
  44. M. Olson et al., in AutoML 2025 ABCD Track (OpenReview, New York, 2025).
  45. P. I. Frazier and J. Wang, in Information Science for Materials Discovery and Design. Springer Series in Materials Science, edited by T. Lookman, F. Alexander and K. Rajan (Springer, Cham, 2015), Vol. 225.
  46. M. M. Noack, G. S. Doerk, R. Li, J. K. Streit, R. A. Vaia, K. G. Yager, and M. Fukuto, Autonomous materials discovery driven by Gaussian process regression with inhomogeneous measurement noise and anisotropic kernels, Sci. Rep. 10, 1 (2020).
  47. C. E. Rasmussen and C. K. I. Williams, Gaussian Processes for Machine Learning (The MIT Press, Cambridge, Massachusetts, 2006).
  48. J. Ling, M. Hutchinson, E. Antono, S. Paradiso, and B. Meredig, High-dimensional materials and process optimization using data-driven experimental design with well-calibrated uncertainty estimates, Integr. Mater. Manuf. Innovation 6, 207 (2017).
  49. P. V. Balachandran, Adaptive machine learning for efficient materials design, MRS Bull. 45, 579 (2020).
  50. B. Rohr, H. S. Stein, D. Guevarra, Y. Wang, J. A. Haber, M. Aykol, S. K. Suram, and J. Gregoire, Benchmarking the acceleration of materials discovery by sequential learning, Chem. Sci. 11, 2696 (2020).
  51. M. Malu, G. Dasarathy, and A. Spanias, in IISA 2021 – 12th International Conference on Information, Intelligence, Systems and Applications (IEEE, Chania Crete, Greece, 2021).
  52. T. Ueno, T. D. Rhone, Z. Hou, T. Mizoguchi, and K. Tsuda, COMBO: An efficient Bayesian optimization library for materials science, Mater. Discover 4, 18 (2016).
  53. H. G. Bohn and T. Schober, Electrical conductivity of the high-temperature proton conductor BaZr0.9Y0.1O2.95, J. Am. Ceram. Soc. 83, 768 (2000).
  54. H. Zhu, S. Ricote, C. Duan, R. P. O’Hayre, D. S. Tsvetkov, and R. J. Kee, Defect incorporation and transport within dense BaZr0.8Y0.2O3−δ (BZY20) proton-conducting membranes, J. Electrochem. Soc. 165, F581 (2018).
  55. K. R. Talley, S. R. Bauers, C. L. Melamed, M. C. Papac, K. N. Heinselman, I. Khan, D. M. Roberts, V. Jacobson, A. Mis, G. L. Brennecka, J. D. Perkins, and A. Zakutayev, COMBIgor: Data-analysis package for combinatorial materials science, ACS Comb. Sci. 21, 537 (2019).
  56. M. C. Henstridge, E. Laborda, and R. G. Compton, Asymmetric Marcus–Hush model of electron transfer kinetics: Application to the voltammetry of surface-bound redox systems, J. Electroanal. Chem. 674, 90 (2012).
  57. Y. Zeng, P. Bai, R. B. Smith, and M. Z. Bazant, Simple formula for asymmetric Marcus–Hush kinetics, J. Electroanal. Chem. 748, 52 (2015).

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