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. 2018 Mar 16;8:4710. doi: 10.1038/s41598-018-22983-6

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© The Author(s) 2018

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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Plot of the ratio T_C/F(d) (see text) as a function of the film thickness for several Nb data sets. The fitting function, F(d), has been calculated using the theoretically expected value of the Nb bulk transition temperature (i.e. T_C0 = 9.22 K). Circles: present work; triangles: Zhao et al.²⁰; squares: Delacour et al.²¹. The error bars are defined by Eq. (S7) of the supplementary information.