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. 2018 Jan 31;8:2025. doi: 10.1038/s41598-018-20470-6

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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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(a) The four-point dynamic structure factor of (Cu₅₀Zr₅₀) Al₁₀ at various temperatures, while the solid lines fit the Ornstein-Zernicke form (Eq. 3). (b) The dynamic correlation length or the dynamic-length-scale (ξ₄) at various temperatures for the alloy liquids studied. The growth of ξ₄ as a function of (c) <0,3,6,4>, (d) <0,2,8,2>, and (e) <0,0,12,0> polyhedrons. The inverse of diffusion (relaxation time) shows a power law behaviour with the dynamic correlation length. The straight lines represent how the power law fits (D⁻¹ = aξ₄^z).