Quantifying the coupling between strain and cation valence in high entropy oxide thin films using electron microscopy
Pith reviewed 2026-05-22 08:56 UTC · model grok-4.3
The pith
High entropy oxide thin films of identical composition develop different nanoscale strain states and cobalt valences when grown at different substrate temperatures.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Advanced S/TEM techniques quantify a correlation between nanoscale strain variations and Co valence in HEO thin films grown at different substrate temperatures, demonstrating that identical HEO compositions can accommodate distinct strain and defect states in thin film form and that synthesis conditions can be leveraged to manipulate strain and Co valence.
What carries the argument
Nanoscale strain mapping from 4D-STEM diffraction patterns correlated with cobalt valence states extracted from electron energy loss spectroscopy.
If this is right
- Identical HEO compositions can realize different strain and defect states when deposited as thin films.
- Substrate temperature serves as a control parameter to adjust strain and cobalt valence without changing the overall film composition.
- Functional properties tied to strain or valence can be tuned through growth conditions in high entropy oxide thin films.
Where Pith is reading between the lines
- The same growth-temperature approach might allow property adjustment in other complex oxides where strain and cation valence affect electronic behavior.
- Device fabrication could use temperature as a simple dial to optimize HEO films for targeted ionic or magnetic responses while keeping composition fixed.
Load-bearing premise
The observed differences in strain and Co valence arise primarily from changes in substrate temperature rather than from other uncontrolled variables in the growth process or from artifacts in the electron microscopy measurements.
What would settle it
Repeated growth of films at the same substrate temperature but with the same spread of strain and valence values seen across different temperatures, or an independent valence measurement technique such as X-ray absorption spectroscopy that shows no temperature-dependent shifts.
Figures
read the original abstract
High entropy oxides (HEOs) are a class of materials with vast compositional space and tunable properties, making them attractive for applications in thermoelectrics, magnetism, ionic conduction, and beyond. However, their metastable nature makes the local structure, and consequently their properties, highly sensitive to growth conditions. It is therefore essential to probe the local modulations in atomic, chemical, and electronic structure as a function of growth conditions. Here, advanced S/TEM techniques, including 4D-STEM combined with electron energy loss spectroscopy and energy-dispersive X-ray spectroscopy are used to investigate the effect of substrate temperature on structure and strain at the nanoscale regime in HEO thin films. We quantify how nanoscale strain variations correlate with Co valence and subtle chemical differences in the films with the same nominal composition but different growth temperatures. Our results demonstrate that identical HEO compositions can accommodate distinct strain and defect states in thin film form and highlight how synthesis conditions can be leveraged to manipulate strain and Co valence. These findings establish a framework to tailor functional properties via strain and valence control in high entropy oxide thin films.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript uses 4D-STEM strain mapping combined with EELS and EDX to examine high-entropy oxide thin films of identical nominal composition grown at different substrate temperatures. The central claim is that these films accommodate distinct nanoscale strain states and Co valence depending on growth temperature, demonstrating that synthesis conditions can be leveraged to manipulate strain-defect coupling in HEO thin films.
Significance. If the reported correlations are shown to be free of growth-parameter confounds and measurement artifacts, the work would be significant for the HEO field by providing direct nanoscale evidence that metastable compositions can host tunable strain and valence states. The correlative 4D-STEM/EELS approach is a clear methodological strength that enables spatially resolved structure-chemistry links not easily obtained by bulk techniques.
major comments (2)
- [Methods, thin-film growth subsection] Methods, thin-film growth subsection: the description does not state whether oxygen partial pressure, cation flux ratios, total pressure, or post-growth cooling rates were held identical across the different substrate-temperature runs. Because the central claim attributes observed strain and Co-valence differences primarily to temperature, explicit confirmation that these other parameters were controlled (or quantitative bounds on any drift) is required to support causality.
- [Results, EELS Co L-edge analysis] Results, EELS Co L-edge analysis: no beam-dose estimates, exposure times, or control experiments (e.g., low-dose spectra or time-series) are reported to bound possible electron-beam reduction of Co valence. Given the known sensitivity of Co^{2+/3+} states to beam-induced reduction in oxides, this omission directly affects the reliability of the valence maps used to establish the strain-valence correlation.
minor comments (2)
- [Figure 2] Figure 2 and associated caption: the reference lattice used for 4D-STEM strain extraction is not specified, and the number of independent regions or films averaged for each temperature is unclear; adding this information would improve reproducibility.
- [Abstract] The abstract would be strengthened by including at least one quantitative value (e.g., typical strain difference or Co valence shift with uncertainty) rather than qualitative statements alone.
Simulated Author's Rebuttal
We thank the referee for their positive assessment of the significance of our work and for the constructive comments. We address each major comment below and will revise the manuscript accordingly where appropriate.
read point-by-point responses
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Referee: [Methods, thin-film growth subsection] Methods, thin-film growth subsection: the description does not state whether oxygen partial pressure, cation flux ratios, total pressure, or post-growth cooling rates were held identical across the different substrate-temperature runs. Because the central claim attributes observed strain and Co-valence differences primarily to temperature, explicit confirmation that these other parameters were controlled (or quantitative bounds on any drift) is required to support causality.
Authors: We confirm that all other growth parameters, including oxygen partial pressure, cation flux ratios, total pressure, and post-growth cooling rates, were held constant across the substrate temperature series. This information was omitted from the initial submission for brevity but will be explicitly added to the Methods section in the revised manuscript to clarify the experimental design and support the attribution of observed differences to growth temperature. revision: yes
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Referee: [Results, EELS Co L-edge analysis] Results, EELS Co L-edge analysis: no beam-dose estimates, exposure times, or control experiments (e.g., low-dose spectra or time-series) are reported to bound possible electron-beam reduction of Co valence. Given the known sensitivity of Co^{2+/3+} states to beam-induced reduction in oxides, this omission directly affects the reliability of the valence maps used to establish the strain-valence correlation.
Authors: We agree that beam-induced reduction is a potential concern for Co valence measurements in oxides. In our experiments, we used low electron doses and short exposure times to minimize this effect. We have conducted time-series EELS measurements on representative areas showing stable Co L-edge features over the acquisition period. We will include beam-dose estimates, exposure times, and a description of these control experiments in the revised Results section to address this point. revision: yes
Circularity Check
No circularity: direct experimental characterization with independent measurements
full rationale
This is an experimental characterization paper that reports nanoscale strain maps from 4D-STEM and Co valence from EELS on HEO thin films grown at different substrate temperatures. No derivation chain, equations, fitted parameters presented as predictions, or self-citation load-bearing steps exist in the work. The central observations (distinct strain and valence states for nominally identical compositions) rest on direct, independent microscopy data rather than any reduction to inputs by construction, self-definition, or imported uniqueness theorems. The findings are therefore self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Standard assumptions in electron energy loss spectroscopy for assigning cobalt valence states from edge shapes and energy shifts
Lean theorems connected to this paper
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IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We quantify how nanoscale strain variations correlate with Co valence and subtle chemical differences in the films with the same nominal composition but different growth temperatures.
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
J14Sc films exhibit tensile strain of approximately 1.42% and 3.11% relative to the MgO substrate in the out-of-plane direction at low (300 °C) and high (500 °C) growth temperatures, respectively.
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
C. M. Rost, E. Sachet, T. Borman, A. Moballegh, E. C. Dickey, D. Hou, J. L. Jones, S. Curtarolo, J.-P. Maria, Nat. Commun. 2015, 6, 8485
work page 2015
-
[2]
G. N. Kotsonis, S. S. I. Almishal, F. Marques dos Santos Vieira, V. H. Crespi, I. Dabo, C. M. Rost, J.-P. Maria, J. Am. Ceram. Soc. 2023, 106, 5587
work page 2023
-
[3]
S. S. I. Almishal, J. T. Sivak, G. N. Kotsonis, Y. Tan, M. Furst, D. Srikanth, V. H. Crespi, V. Gopalan, J. T. Heron, L.-Q. Chen, C. M. Rost, S. B. Sinnott, J.-P. Maria, Acta Mater. 2024, 279, 120289
work page 2024
-
[4]
S. S. I. Almishal, M. Furst, Y. Tan, J. T. Sivak, G. Bejger, J. Petruska, S. V. G. Ayyagari, D. Srikanth, N. Alem, C. M. Rost, S. B. Sinnott, L.-Q. Chen, J.-P. Maria, Nat. Commun. 2025, 16, 8211
work page 2025
-
[5]
S. S. I. Almishal, P. Kezer, J. T. Sivak, Y. Iwabuchi, S. V. G. Ayyagari, S. Sarker, M. Furst, G. Bejger, B. Yang, S. Gelin, N. Alem, I. Dabo, C. M. Rost, S. B. Sinnott, V. Crespi, V. Gopalan, R. Engel-Herbert, J. T. Heron, J.-P. Maria, Adv. Sci. 2025, 12, e09868
work page 2025
- [6]
-
[7]
A. R. Mazza, E. Skoropata, Y. Sharma, J. Lapano, T. W. Heitmann, B. L. Musico, V. Keppens, Z. Gai, J. W. Freeland, T. R. Charlton, M. Brahlek, A. Moreo, E. Dagotto, T. Z. Ward, Adv. Sci. 2022, 9, 2200391
work page 2022
-
[8]
G. N. Kotsonis, P. B. Meisenheimer, L. Miao, J. Roth, B. Wang, P. Shafer, R. Engel- Herbert, N. Alem, J. T. Heron, C. M. Rost, J.-P. Maria, Phys. Rev. Mater. 2020, 4, 100401. 15
work page 2020
-
[9]
N. J. Usharani, P. Arivazhagan, T. Thomas, S. S. Bhattacharya, Mater. Sci. Eng. B 2022, 283, 115847
work page 2022
-
[10]
L. Miao, J. T. Sivak, G. Kotsonis, J. Ciston, C. L. Ophus, I. Dabo, J.-P. Maria, S. B. Sinnott, N. Alem, ACS Nano 2024, 18, 14968
work page 2024
-
[11]
S. S. I. Almishal, L. Miao, Y. Tan, G. N. Kotsonis, J. T. Sivak, N. Alem, L.-Q. Chen, V. H. Crespi, I. Dabo, C. M. Rost, S. B. Sinnott, J.-P. Maria, J. Am. Ceram. Soc. 2025, 108, e20223
work page 2025
-
[12]
J. Baek, M. D. Hossain, P. Mukherjee, J. Lee, K. T. Winther, J. Leem, Y. Jiang, W. C. Chueh, M. Bajdich, X. Zheng, Nat. Commun. 2023, 14, 5936
work page 2023
-
[13]
L. Luo, J. Ju, Y. Wu, X. Wan, W. Li, Y. Li, H. Jiang, Y. Hu, C. Li, Adv. Mater. 2025, 37, 2418856
work page 2025
-
[14]
Z. Zhao, A. K. Jaiswal, D. Wang, V. Wollersen, Z. Xiao, G. Pradhan, F. Celegato, P. Tiberto, M. Szymczak, J. Dabrowa, M. Waqar, D. Fuchs, X. Pan, H. Hahn, R. Kruk, A. Sarkar, Adv. Sci. 2023, 10, 2304038
work page 2023
-
[15]
C. M. Rost, Entropy-Stabilized Oxides: Explorations of a Novel Class of Multicomponent Materials, 2016
work page 2016
-
[16]
G. E. Niculescu, G. R. Bejger, J. P. Barber, J. T. Wright, S. S. I. Almishal, M. Webb, S. V. G. Ayyagari, J. Maria, N. Alem, J. T. Heron, C. M. Rost, J. Am. Ceram. Soc. 2025, 108, e20171
work page 2025
-
[17]
S. V. G. Ayyagari, L. Miao, G. Niculescu, M. Webb, J. Barber, J. Heron, C. M. Rost, N. Alem, Microsc. Microanal. 2024, 30, ozae044.663
work page 2024
-
[18]
G. N. Kotsonis, C. M. Rost, D. T. Harris, J.-P. Maria, MRS Commun. 2018, 8, 1371
work page 2018
- [19]
-
[20]
T. Yoo, E. Hershkovitz, Y. Yang, F. Da Cruz Gallo, M. V. Manuel, H. Kim, Npj Comput. Mater. 2024, 10, 223
work page 2024
-
[21]
S. S. I. Almishal, S. V. G. Ayyagari, A. Pearre, P. Kezer, M. Furst, C. M. Rost, B. Yan, N. Alem, T. Charlton, Z. Mao, J. T. Heron, J.-P. Maria, 2026, DOI 10.48550/arXiv.2603.00814
-
[22]
D. Mukherjee, H. Yu, C. Wang, J. Spendelow, D. Cullen, M. Zachman, Microsc. Microanal. 2021, 27, 1440
work page 2021
-
[23]
D. Mukherjee, J. T. L. Gamler, S. E. Skrabalak, R. R. Unocic, ACS Catal. 2020, 10, 5529
work page 2020
-
[25]
J. H. Seo, J.-H. Kwon, Nanomaterials 2023, 13, 2767
work page 2023
- [26]
-
[27]
R. D. Shannon, Acta Crystallogr. A 1976, 32, 751
work page 1976
-
[28]
F. de la Peña, E. Prestat, J. Lähnemann, V. T. Fauske, P. Burdet, P. Jokubauskas, T. Furnival, C. Francis, M. Nord, T. Ostasevicius, K. E. MacArthur, D. N. Johnstone, M. Sarahan, J. Taillon, T. Aarholt, pquinn-dls, V. Migunov, A. Eljarrat, J. Caron, T. Nemoto, T. Poon, S. Mazzucco, sivborg, actions-user, N. Tappy, N. Cautaerts, S. Somnath, T. Slater, M. W...
- [29]
-
[30]
B. H. Savitzky, S. E. Zeltmann, L. A. Hughes, H. G. Brown, S. Zhao, P. M. Pelz, T. C. Pekin, E. S. Barnard, J. Donohue, L. Rangel DaCosta, E. Kennedy, Y. Xie, M. T. Janish, M. M. Schneider, P. Herring, C. Gopal, A. Anapolsky, R. Dhall, K. C. Bustillo, P. Ercius, M. C. Scott, J. Ciston, A. M. Minor, C. Ophus, Microsc. Microanal. 2021, 27, 712. 16 Supportin...
work page 2021
-
[31]
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania, United States
-
[32]
Computational Sciences & Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States
-
[33]
Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States
-
[34]
* Corresponding author: nua10@psu.edu 17 S1: Electron diffraction analysis Figure S1
AtomQ, Knoxville, Tennessee, United States. * Corresponding author: nua10@psu.edu 17 S1: Electron diffraction analysis Figure S1. Selected area electron diffraction analysis. (a) Selected area corresponding to the selected area electron diffraction (SAED) pattern of the stacked thin films along [100] zone axis in (b). The insets in (b) show the magnified ...
- [35]
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