A model for the compositions of non-stoichiometric intermediate phases formed by diffusion reactions, and its application to Nb3Sn superconductors

Xu, X.; Sumption, M. D.

doi:10.1038/srep19096

Title: A model for the compositions of non-stoichiometric intermediate phases formed by diffusion reactions, and its application to Nb₃Sn superconductors

Journal Article · Tue Jan 12 00:00:00 EST 2016 · Scientific Reports

DOI:https://doi.org/10.1038/srep19096· OSTI ID:1337874

Xu, X. ^[1];

^[1]

The Ohio State Univ., Columbus, OH (United States). Dept. of Materials Science and Engineering

In this work we explore the compositions of non-stoichiometric intermediate phases formed by diffusion reactions: a mathematical framework is developed and tested against the specific case of Nb₃Sn superconductors. In the first part, the governing equations for the bulk diffusion and interphase interface reactions during the growth of a compound are derived, numerical solutions to which give both the composition profile and growth rate of the compound layer. The analytic solutions are obtained with certain approximations made. In the second part, we explain an effect that the composition characteristics of compounds can be quite different depending on whether it is the bulk diffusion or grain boundary diffusion that dominates in the compounds, and that “frozen” bulk diffusion leads to unique composition characteristics that the bulk composition of a compound layer remains unchanged after its initial formation instead of varying with the diffusion reaction system; here the model is modified for the case of grain boundary diffusion. Lastly, we apply this model to the Nb₃Sn superconductors and propose approaches to control their compositions.

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Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011721

OSTI ID:: 1337874

Journal Information:: Scientific Reports, Vol. 6; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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Cited By (5)

Effect of Zn addition and Ti doping position on the diffusion reaction of internal tin Nb ₃ Sn conductors Banno, Nobuya; Morita, Taro; Yu, Zhou Superconductor Science and Technology, Vol. 32, Issue 11 https://doi.org/10.1088/1361-6668/ab4632	journal	October 2019
The effects of Mg doping on the microstructure and transport properties of internal tin-processed brass matrix Nb ₃ Sn superconductors Yu, Zhou; Banno, Nobuya; Zhao, Yong Superconductor Science and Technology, Vol. 32, Issue 3 https://doi.org/10.1088/1361-6668/aaf61a	journal	January 2019
GLAG theory for superconducting property variations with A15 composition in Nb3Sn wires Li, Yingxu; Gao, Yuanwen Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-01292-4	journal	April 2017
Effects of inhomogeneities on pinning force scaling in Nb ₃ Sn wires Baumgartner, T.; Pfeiffer, S.; Bernardi, J. Superconductor Science and Technology, Vol. 31, Issue 8 https://doi.org/10.1088/1361-6668/aac87e	journal	June 2018
Ternary Nb ₃ Sn superconductors with artificial pinning centers and high upper critical fields Xu, X.; Rochester, J.; Peng, X. Superconductor Science and Technology, Vol. 32, Issue 2 https://doi.org/10.1088/1361-6668/aaf7ca	journal	January 2019

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