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We show that parameter $\\alpha = 2(\\hbar S)^2/(I\\Delta)$ determines the ground state of the molecule. Here $\\hbar S$ is the spin, $I$ is the moment of inertia, and $\\Delta$ is the tunnel splitting. The magnetic moment of the molecule is zero at $\\alpha < \\alpha_c = [1-1/(2S)^{2}]^{-1}$ and non-zero at $\\alpha > \\alpha_c$. At $\\alpha \\to \\infty$ the spin of the molecule localize"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0911.2810","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2009-11-14T21:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"62f2249038fb8183b4c7209b2de26513202c1018f668e476cd5c5fb73c242a19","abstract_canon_sha256":"88c6d52ef7fd8809b927345e42b4fa01121329063775bec0c4523a93daca0e07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:54.169479Z","signature_b64":"BS0yte7uK6/GXcCPbY0KIBZYPrNoNb1no6D2WvYPMP1ULbXoY7xQkZO1hf8EeV0aLa2QtAtl7AmByFCR6OqRCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2d91233c7e6e247e5e0ea72dd6565dcd65fc3ef5f7d70c028c13ce2dff9d48c","last_reissued_at":"2026-05-18T04:26:54.168922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:54.168922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rotational States of Magnetic Molecules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"D. 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