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. 2020 Jul 29;10:12759. doi: 10.1038/s41598-020-69371-7

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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(a) Experimental (black circles) and reconstructed inversion (red line) synchrotron WAXTS-DSE data for a commercial Titania (TiO₂) composed by nanopowder polymorphs of anatase and rutile. The blue line indicates the DEBUSSY analysis. The grey line is a constant background profile used for both analysis; (b) mass diameter distributions of the anatase and rutile phases recovered with the inversion procedure (red symbols) and the DEBUSSY analysis (blue curves); (b) relative residuals between the experimental and reconstructed data.