Temperature dependence of the phonon entropy of vanadium

P. D. Bogdanoff, B. Fultz, J. L. Robertson, L. Crow

Research output: Contribution to journalArticlepeer-review

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Abstract

The phonon density-of-states (DOS) of elemental vanadium was measured at elevated temperatures by inelastic neutron scattering. The phonon softening predicted by thermal expansion against the bulk modulus is much larger than the measured shifts in phonon energies. We conclude that the phonon anharmonicities associated with thermal expansion are largely canceled by effects from phonon-phonon scattering. Prior measurements of the heat capacity and calculations of the electronic entropy of vanadium are assessed, and consistency requires an explicit temperature dependence of the phonon DOS. Using data from the literature, similar results are found for chromium, niobium, titanium, and zirconium.

Original languageEnglish
Article number014303
Pages (from-to)143031-143036
Number of pages6
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number1
DOIs
StatePublished - Jan 1 2002

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