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Homology analysis is an efficient topological method of interpreting the shape of data. Several researches have applied it to describe and classify material structures, including metallic glasses and polycrystals. A quantitative interpretation of structures is necessary to find correlation in the structure-property relationship, which can be accomplished using the Betti numbers, βi. In the case of a two-dimensional (2D) structure image, the essential structure information, such as connectivity components and 1D holes, can be extracted and represented by β0 and β1, respectively. Via STEM images, we previously showed that the connectivity of the CeO2 phase, β0, plays an important role in the oxygen ionic transportation of Pt/CeO2 composites. However, this dependence does not work for the network structure, because isolated CeO2 phases might be connected three-dimensionally. Therefore, 3D structural analysis is necessary for network structures to verify the relationship between the CeO2 connectivity and ionic conductivity.

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  This is a pre-copyedited, author-produced version of an article accepted for publication in Microscopy and Microanalysis following peer review. The version of record [Yu Wen, Ayako Hashimoto, Akihiko Hirata, Hideki Abe, Quantitative analysis of 3D structures in metal-oxide composites, Microscopy and Microanalysis, Volume 27, Issue S1, 1 August 2021, Pages 2974–2975 is available online at: https://doi.org/10.1017/S1431927621010345.

Keyword: Betti number, Metal-oxide nanocomposite, STEM tomography, Ionic conductivity

Date published: 2021-07-30

Publisher: Oxford University Press (OUP)

Journal:

• Microscopy and Microanalysis (ISSN: 14319276) vol. 27 issue. S1 p. 2974-2975

Funding:

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.5170

First published URL: https://doi.org/10.1017/s1431927621010345

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Updated at: 2024-12-18 16:31:18 +0900

Published on MDR: 2024-12-18 16:31:18 +0900