. . . . "With W = 1.63 × 10⁻¹⁷ J to break one alpha-helix element and a mesh cross-section A = 1.2 × 10⁻¹⁷ m², the network's fracture surface energy is of the same order as that of silicon along <111>, while its elastic modulus (about 3 GPa for the alpha-helix) is far below silicon's 243 GPa." . "mathematical-law" . . "Notation basis: W and A are in the text; the defining equation and the resulting value are images in the JATS and are missing from the vendored text. The factor 2 (two surfaces) is the standard definition; if the paper defines γ = W/A the value is 1.36 J m⁻². To be checked against the PDF before use." . "Fracture surface energy of the alpha-helix network is comparable to silicon's" . "\\gamma = \\frac{W}{2A} \\approx \\frac{1.63\\times10^{-17}\\ \\mathrm{J}}{2 \\times 1.2\\times10^{-17}\\ \\mathrm{m^2}} \\approx 0.68\\ \\mathrm{J\\,m^{-2}}" . "Theodor Ackbarow et al., “Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant”, PLoS ONE 4, e6015 (2009), doi:10.1371/journal.pone.0006015; Results and Discussion. Scope: Mesoscale alpha-helix network model" . "Theodor Ackbarow, Dipanjan Sen, Christian Thaulow, Markus J. Buehler. Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant. PLoS ONE 4, e6015 (2009). doi:10.1371/journal.pone.0006015" . "Theodor Ackbarow, Dipanjan Sen, Christian Thaulow, Markus J. Buehler" . "2009"^^ . "PMC2696088" . "doi:10.1371/journal.pone.0006015" . "pmid:19547709" . "Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant" . . . . "Full text of Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant, as read" . . . "delphisci buehler-protein-materials claim extractor" . . . . "Claude Fable 5.1" . . . . . . . . . . . . "Quoted from the full text (cc by licence), paragraph 16 of 2009-helical-networks.txt (sha256 d35d9ea109c79b04ca4f44608c823ee0ab4e43a642147772bb6b89e3fe2d734f), vendored from Europe PMC PMC2696088 by build/resolve.py and checked by build/check.py." . . . "Since W = 1.63×10−17 J (obtained from the integral over the force-displacement curve of an alpha-helical element until breaking of the covalent backbone; it equals the area under the curve shown in ), and A = 1.2×10−17 m2 (length: 12×10−9 m, width: 10×10−10 m) the fracture surface energy is given by . This is a value that is comparable to the fracture surface energy of silicon, which features along the <111> crystal plane, albeit silicon has a much greater elastic modulus of E = 243 GPa ." . . "d35d9ea109c79b04ca4f44608c823ee0ab4e43a642147772bb6b89e3fe2d734f" . "Checksum of the vendored text file inputs/2009-helical-networks.txt, not of the publisher's copy." . "buehler-protein-materials" . "2026-11-08T04:38:11.893Z"^^ . . . . . "Theodor Ackbarow et al. 2009 claim: Fracture surface energy of the alpha-helix network is comparable to silicon's" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "u8sz6wDFXEe2oBKwufuF6srRHJ6ZWlm4ZNY0icku+NFctUE5M3V8B9EbeMAbeqUuTnn1swKO8++96UsQ50plIQJ7rsS3yp4S9hYWG1xlIDcIt78tkXVAi1w+vWHpjr06+yRH6hUz3WNjNWv3q4KNLRUdLJ4rLu3+aCLYey9Pxr70CLwCOPed3+65xg5YpeuAbq3IT0jsfea6WlK07i8ldT8JDFjf66c4ZW08LVWix3ICUby4eNcykvTTgw4eHhCgFWk1SrAmAQQkOYE7/YPtlW5nqlbUz+xYLTBlWXfwK+6eIlzLMjsPA9kfcnWf9cyfmqztza0lHcXQrE8pcOIBXQ==" . . .