. . . . "The rupture strength of hydrogen-bond assemblies is set by geometric confinement: clusters of at most 3–4 H-bonds break concurrently, even when a much larger number of H-bonds is loaded in uniform shear." . "mathematical-law" . . "Notation basis: The bound is stated in the abstract; its derivation (balance of elastic energy stored in the strand against H-bond energy, giving a critical strand length) is in the full text, not vendored." . "At most three to four hydrogen bonds break together, whatever the assembly size" . "b_{\\mathrm{rupture}} \\le 3\\text{–}4 \\quad \\text{for any } N \\ge b \\text{ H-bonds under uniform shear}" . "Sinan Keten et al., “Geometric Confinement Governs the Rupture Strength of H-bond Assemblies at a Critical Length Scale”, Nano Letters 8, 743-748 (2008), doi:10.1021/nl0731670; Abstract. Scope: Beta-sheet H-bond assemblies under shear, in theory and full-atomistic MD in explicit solvent" . "Sinan Keten, Markus J. Buehler. Geometric Confinement Governs the Rupture Strength of H-bond Assemblies at a Critical Length Scale. Nano Letters 8, 743-748 (2008). doi:10.1021/nl0731670" . "Sinan Keten, Markus J. Buehler" . "2008"^^ . "doi:10.1021/nl0731670" . "pmid:18269263" . "Geometric Confinement Governs the Rupture Strength of H-bond Assemblies at a Critical Length Scale" . . . "delphisci buehler-protein-materials claim extractor" . . . . "Claude Fable 5.1" . . . . . . . . . . . . "Quoted from the published abstract as returned by Europe PMC (2008-hbond-confinement.abstract.txt, sha256 880dc02fe6911c5cdb1ab49189a7e6b0f6dc782017ec700c7a498afd4193e722); the full text was not read (not in Europe PMC open-access subset). Checked by build/check.py." . . . "We discover that the rupture strength of H-bond assemblies is governed by geometric confinement effects, suggesting that clusters of at most 3-4 H-bonds break concurrently, even under uniform shear loading of a much larger number of H-bonds." . . "880dc02fe6911c5cdb1ab49189a7e6b0f6dc782017ec700c7a498afd4193e722" . "Checksum of the vendored text file inputs/2008-hbond-confinement.abstract.txt, not of the publisher's copy." . . . "Abstract of Geometric Confinement Governs the Rupture Strength of H-bond Assemblies at a Critical Length Scale, as read" . . "buehler-protein-materials" . "2026-11-08T04:38:11.893Z"^^ . . . . . "Sinan Keten et al. 2008 claim: At most three to four hydrogen bonds break together, whatever the assembly size" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "XASB771nVEK/qy8id2Iy3HOtjkwNzGkjPJRsUArzNKMxcEPmruo/nFRJ/kMHDK3GhXxuk1kLl7MNJ7REAlK8woGdpaRK7prQjOX74P66PBaJZyW/iHxWepnkWpS6HbdRpeRbWeNR/EdVpybLnBHVlPGpqxHJhH18oejai06HqvlmAhOHZ0fQbOHS9up/UmzTytyI5u9plM0nvUnfzLnNv8GnMvoittUolC+s/ShLj2fu4nnUFvW3flY0teDyuu2SVGMNUjRFiAkXXwGmMkAbq0gyg2mYrgwe/vAR4kch7+A1Vt8K8L2kFdv9lP4KbJSUTLexH4Q1WJ6BhBJkFsZPYQ==" . . .