{"paper":{"title":"The degenerate Fermi gas of $\\pi$ electrons in fullerenes and the $\\sigma$ surface instabilities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Sabih D Khan, Sadia Manzoor, Shoaib Ahmad","submitted_at":"2016-09-05T16:48:19Z","abstract_excerpt":"The departure from perfect spherical symmetry in the case of fullerenes, C60 being the sole exception, induces instabilities due to the stresses generated by the pentagonal protrusions in the sigma-bonded surfaces. By assuming sigma and pi separability and treating pi electrons as a degenerate Fermi gas in the two shells around the central sigma structure, the resulting degeneracy pressures can further enhance the sigma-surface initiated instabilities for non-icosahedral structures especially for those smaller than C60 as well as the icosahedral fullerenes that are larger than C60, with large "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01219","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}