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. 2018 Mar 27;8:5225. doi: 10.1038/s41598-018-23555-4

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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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Temperature dependent magnetic scattering and magnetic susceptibility. (a) Neutron scattering intensity at the (201) Bragg peak position, I − I₄₅₀, (red triangles) and magnetic susceptibility, χ, at 100 Oe (blue diamonds) vs. T. I − I₄₅₀ is the intensity, I, measured after subtraction of the intensity at 450 K, I₄₅₀. Solid line is a fit of the Debye model⁴³ to the data between 90 and 300 K with Θ_D = 125 K²⁰. (b) Scattering along the (2 0 L) direction at several representative temperatures demonstrating the incommensurate order. (c) Integrated intensity of the scattering at (2 0 1−δ) vs. T. (d) T dependence of δ (blue bullets) and the correlation length of the incommensurate scattering, ξ, (red diamonds) vs. T. Solid line is a guide to the eye. Dashed line is the instrumental resolution. Transition temperatures T₁ and T₂ are indicated in frames a, c, and d.