SWhat changed
An acoustic elastic-mode spectrum with finite3N cutoff replaces a single frequency and predicts a cubic lowT lattice law, highT classical limit and elastic-property characteristic temperature within one model.
Scientific scope
An acoustic elastic-mode spectrum with finite3N cutoff replaces a single frequency and predicts a cubic lowT lattice law, highT classical limit and elastic-property characteristic temperature within one model. The model uses harmonic elastic-continuum modes and a cutoff matching the number of atomic degrees of freedom. The low-temperature behavior and high-temperature limit depend on these approximations. The sphere calculation and large-mode asymptotics are not an exact finite-atom spectrum. Real materials, anharmonicity, electronic heat capacity and every experimental fit are outside this scoped model.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- P. Debye · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- P. Debye, Zur Theorie der spezifischen Warmen; complete original 1912 Annalen der Physik 789-839
- Publisher-deposited DOI 10.1002/andp.19123441404 identity and references
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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