{"paper":{"title":"On The Low-Frequency Vibrational Modes of C$_{60}$","license":"","headline":"","cross_cats":["atom-ph","chem-ph","cond-mat.mtrl-sci"],"primary_cat":"mtrl-th","authors_text":"Dennis P. Clougherty, John P. Gorman (Department of Physics, University of Vermont)","submitted_at":"1996-04-10T18:34:59Z","abstract_excerpt":"The vibrational spectrum of C$_{60}$ is compared to the spectrum of a classical isotropic elastic spherical shell. We show correlations between the low frequency modes of C$_{60}$ and those of the spherical shell. We find the spherical model gives the approximate frequency ordering for the low frequency modes. We estimate a Poisson ratio of $\\sigma\\approx 0.30$ and a transverse speed of sound of $v_s\\approx 1800$ m/s for the equivalent elastic shell. We also find that $\\omega({\\rm M_1})/\\omega({\\rm M_0})=\\sqrt{3\\over 2}$ for the shell modes ${\\rm M_0}$ and ${\\rm M_1}$, independent of elastic c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"mtrl-th/9604002","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"}