Thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging

Abstract Exploration of structure-property relationships as a function of dopant concentration is commonly based on mean field theories for solid solutions. However, such theories that work well for semiconductors tend to fail in materials with strong correlations, either in electronic behavior or c...

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Autores principales: Lukas Vlcek, Shize Yang, Yongji Gong, Pulickel Ajayan, Wu Zhou, Matthew F. Chisholm, Maxim Ziatdinov, Rama K. Vasudevan, Sergei V. Kalinin
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Publicado: Nature Portfolio 2021
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spelling oai:doaj.org-article:c867ca002f1b4ac285df393ed32a5cff2021-12-02T16:35:54ZThermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging10.1038/s41524-021-00507-72057-3960https://doaj.org/article/c867ca002f1b4ac285df393ed32a5cff2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41524-021-00507-7https://doaj.org/toc/2057-3960Abstract Exploration of structure-property relationships as a function of dopant concentration is commonly based on mean field theories for solid solutions. However, such theories that work well for semiconductors tend to fail in materials with strong correlations, either in electronic behavior or chemical segregation. In these cases, the details of atomic arrangements are generally not explored and analyzed. The knowledge of the generative physics and chemistry of the material can obviate this problem, since defect configuration libraries as stochastic representation of atomic level structures can be generated, or parameters of mesoscopic thermodynamic models can be derived. To obtain such information for improved predictions, we use data from atomically resolved microscopic images that visualize complex structural correlations within the system and translate them into statistical mechanical models of structure formation. Given the significant uncertainties about the microscopic aspects of the material’s processing history along with the limited number of available images, we combine model optimization techniques with the principles of statistical hypothesis testing. We demonstrate the approach on data from a series of atomically-resolved scanning transmission electron microscopy images of Mo x Re1- x S2 at varying ratios of Mo/Re stoichiometries, for which we propose an effective interaction model that is then used to generate atomic configurations and make testable predictions at a range of concentrations and formation temperatures.Lukas VlcekShize YangYongji GongPulickel AjayanWu ZhouMatthew F. ChisholmMaxim ZiatdinovRama K. VasudevanSergei V. KalininNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Computer softwareQA76.75-76.765ENnpj Computational Materials, Vol 7, Iss 1, Pp 1-9 (2021)
institution DOAJ
collection DOAJ
language EN
topic Materials of engineering and construction. Mechanics of materials
TA401-492
Computer software
QA76.75-76.765
spellingShingle Materials of engineering and construction. Mechanics of materials
TA401-492
Computer software
QA76.75-76.765
Lukas Vlcek
Shize Yang
Yongji Gong
Pulickel Ajayan
Wu Zhou
Matthew F. Chisholm
Maxim Ziatdinov
Rama K. Vasudevan
Sergei V. Kalinin
Thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging
description Abstract Exploration of structure-property relationships as a function of dopant concentration is commonly based on mean field theories for solid solutions. However, such theories that work well for semiconductors tend to fail in materials with strong correlations, either in electronic behavior or chemical segregation. In these cases, the details of atomic arrangements are generally not explored and analyzed. The knowledge of the generative physics and chemistry of the material can obviate this problem, since defect configuration libraries as stochastic representation of atomic level structures can be generated, or parameters of mesoscopic thermodynamic models can be derived. To obtain such information for improved predictions, we use data from atomically resolved microscopic images that visualize complex structural correlations within the system and translate them into statistical mechanical models of structure formation. Given the significant uncertainties about the microscopic aspects of the material’s processing history along with the limited number of available images, we combine model optimization techniques with the principles of statistical hypothesis testing. We demonstrate the approach on data from a series of atomically-resolved scanning transmission electron microscopy images of Mo x Re1- x S2 at varying ratios of Mo/Re stoichiometries, for which we propose an effective interaction model that is then used to generate atomic configurations and make testable predictions at a range of concentrations and formation temperatures.
format article
author Lukas Vlcek
Shize Yang
Yongji Gong
Pulickel Ajayan
Wu Zhou
Matthew F. Chisholm
Maxim Ziatdinov
Rama K. Vasudevan
Sergei V. Kalinin
author_facet Lukas Vlcek
Shize Yang
Yongji Gong
Pulickel Ajayan
Wu Zhou
Matthew F. Chisholm
Maxim Ziatdinov
Rama K. Vasudevan
Sergei V. Kalinin
author_sort Lukas Vlcek
title Thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging
title_short Thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging
title_full Thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging
title_fullStr Thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging
title_full_unstemmed Thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging
title_sort thermodynamics of order and randomness in dopant distributions inferred from atomically resolved imaging
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/c867ca002f1b4ac285df393ed32a5cff
work_keys_str_mv AT lukasvlcek thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
AT shizeyang thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
AT yongjigong thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
AT pulickelajayan thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
AT wuzhou thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
AT matthewfchisholm thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
AT maximziatdinov thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
AT ramakvasudevan thermodynamicsoforderandrandomnessindopantdistributionsinferredfromatomicallyresolvedimaging
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