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We construct a temperature-lattice constant phase diagram for these isovalent compounds, establishing Ca$_{3}$Rh$_4$Sn$_{13}$ and Ca$_{3}$Co$_4$Sn$_{13}$ as members close to and far away from the structural quantum critical point, respectively. Deconvolution of the lattice specific heat and the electrical resistivity provide an approximate phonon density of states $F(\\omega)$ and the electron-phonon transport coupling function $\\alpha_{tr}^2F(\\"},"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":"1704.07966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2017-04-26T04:13:53Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"c8f30b046be0f8782d87dc617ec4b0676ca74ff0994044f8770ac95fc78493a5","abstract_canon_sha256":"e0a9c9c0fa8026efb23c9b18cd58d5bad0ce04fe0a027bc64cdaab94951c659a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:29.815723Z","signature_b64":"MOm1xtKt7oPrv2zo/gd0Q0lE7iUPLEDaL3TJiR5OSzDft4fud6oUs72vgf62W5+IjyD+iYb6OHSXbQw9HiWKAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14c1a777f4b220bc45f54bfd32d96155378b1c4634bf9de4327742ce266f47e2","last_reissued_at":"2026-05-18T00:45:29.815227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:29.815227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Soft phonon modes in the vicinity of the structural quantum critical point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Hibiki Kanagawa, Joichi Murakawa, Kazuyoshi Yoshimura, Masaki Imai, Swee K. 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