{"paper":{"title":"First-principles calculation of the lattice thermal conductivities of \\alpha-, \\beta-, and \\gamma-Si$_3$N$_4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Atsushi Togo, Isao Tanaka, Kazuyoshi Tatsumi","submitted_at":"2016-12-27T03:07:56Z","abstract_excerpt":"Lattice thermal conductivities (LTCs) of \\alpha-, \\beta-, and \\gamma-Si$_3$N$_4$ single crystals are investigated from ab initio anharmonic lattice dynamics, within the single-mode relaxation-time approximation of the linearized phonon Boltzmann transport equation. At a temperature of 300 K, a \\kappa$_{xx}$ of 70 and a \\kappa$_{zz}$ of 98 (in units of Wm$^{-1}$K$^{-1}$) are obtained for \\alpha-Si$_3$N$_4$. For \\beta-Si$_3$N$_4$, \\kappa$_{xx}$ and \\kappa$_{zz}$ are found to be 71 and 194, respectively, which are consistent with the reported experimental values of 69 and 180 for individual \\beta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08480","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"}