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. 2024 Feb 21;626(8000):779–784. doi: 10.1038/s41586-024-07036-5

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© The Author(s) 2024

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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Extended Data Fig. 7 — a-c, Distribution of twist angles in ceramics obtained at various conditions, 1,600 °C, 5 min (a); 1,600 °C, 10 min (b); and 1,700 °C, 10 min (c). The twist angles are concentrated at four main angles (~38°, ~28°, ~18°, and ~12°) and a non-dominant angle of ~7°. Supplementary Fig. 4a shows the hypothetical twist-stacked crystal structures with twist angles of 38.2°, 27.8°, 17.9°, 11.6°, and 7°, respectively. d-f, Thickness of twistedly stacked nanoslices in ceramic nanoplates, 1,600 °C, 5 min (d); 1,600 °C, 10 min (e); and 1,700 °C, 10 min (f). As the sintering temperature and time increase, the average thickness of nanoslices increases from 4 layers to 11 layers, leading to a decrease in the density of twisted interface. g, DFT calculated enthalpies of hypothetical twisted-layer BN structures with respect to hBN. h, Percentage variation of twist angles with sintering temperature and holding time. i, Relationships between thicknesses of nanoslices and the compressive strength (and fracture strain) of TS-BN ceramics.