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. 2020 Nov 18;10:20093. doi: 10.1038/s41598-020-72218-w

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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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

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Different views of a GSE according to the present model. Case #4. Geometrical parameters are: $N_{P} = 7$ , $r = 1 / 2$ , $γ_{P} = 2 π / 9$ , $β_{P} = π / 3$ , $α_{P} = 2 π / 5$ , $t = 9.0$ nm, $ν = 3.9$ nm, $R_{b} = R_{t} = 3.3$ nm, $R_{m} = 13$ nm, $L_{b} = 130$ nm, $L_{t} = 390$ nm, $d_{b} = 52$ nm, $d_{m} = 65$ nm, $d_{t} = 39$ nm, $β_{b} = π / 3$ , $β_{m} = π / 4$ , $β_{t} = π / 5$ . The numbers of layers in the bottom and top truncated cones result 10 and 24, respectively, and the volume fraction is $c_{V}$ = 0.22. The overall molecular weight of the GSE is $M_{bl} = 2.2$ GDa. (A) The first view, on the left, shows the inner cavity: platelets are not rotated by $θ_{F}$ but only stacked for clarity. The other four views from left to right have been drawn by rotating the GSE along the $x$ axis by 0°, 45° and 90°, respectively. The platelets of each of the seven spirals are represented with the same colour: red, orange, yellow, green, cyan, blue and violet. (B) GSEs obtained with the same parameters of panel A but with the specular images of the parallelepiped.