Impact of anharmonicity on the vibrational entropy and specific heat of UO2

M. S. Bryan; J. W.L. Pang; B. C. Larson; A. Chernatynskiy; D. L. Abernathy; K. Gofryk; M. E. Manley

doi:10.1103/PhysRevMaterials.3.065405

Impact of anharmonicity on the vibrational entropy and specific heat of UO2

M. S. Bryan, J. W.L. Pang, B. C. Larson, A. Chernatynskiy, D. L. Abernathy, K. Gofryk, M. E. Manley

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21 Scopus citations

Abstract

The impact of anharmonicity on the vibrational entropy and heat capacity of UO2 has been investigated from 10 to 1200 K using inelastic neutron-scattering measurements of the phonon density of states (PDOS). Small changes in the PDOS are observed from 10 to 295 K, with more noticeable changes appearing in the 750- and 1200-K data. The specific heat determined from the PDOS measurements is in agreement with macroscopic specific heat measurements, and the overall impact of nondilation anharmonicity on the specific heat has been shown to be less than 2%. An analysis of the phonon measurements shows that the softening of acoustic phonons with temperature is consistent with the quasiharmonic approximation. The optical phonons deviate from the quasiharmonic prediction, with the low-energy optical phonons between approximately 20 and 50 meV softening more than expected, while the higher-energy optical phonons between approximately 50 and 80 meV have no appreciable softening over the temperature range measured. The observation of a small anharmonic specific heat contribution has been shown to be the result of relatively large energy-dependent anharmonic effects which have opposite sign, leading to a total contribution near zero.

Original language	English
Article number	065405
Journal	Physical Review Materials
Volume	3
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevMaterials.3.065405
State	Published - Jun 28 2019

Funding

We would like to thank K. J. McClellan, A. D. Andersson, and C. R. Stanek of Los Alamos National Laboratory for providing the UO 2 powder (INS) and single-crystal (heat-capacity) samples. M.S.B., M.E.M., and K.G. were supported by the Center for Thermal Energy Transport under Irradiation, an Energy Frontier Research Center funded by the U.S. Department of Energy (DOE), Office of Science, United States Office of Basic Energy Sciences. J.W.L.P., A.C., and B.C.L. were supported by the Center for Materials Science of Nuclear Fuel, an Energy Frontier Research Center funded by the U.S. Department of Energy. Portions of this research used resources at the Spallation Neutron Source, a U.S. DOE Office of Science User Facility operated by Oak Ridge National Laboratory.

Funders	Funder number
Center for Thermal Energy Transport
Office of Science, United States Office of Basic Energy Sciences
U.S. Department of Energy

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title = "Impact of anharmonicity on the vibrational entropy and specific heat of UO2",

abstract = "The impact of anharmonicity on the vibrational entropy and heat capacity of UO2 has been investigated from 10 to 1200 K using inelastic neutron-scattering measurements of the phonon density of states (PDOS). Small changes in the PDOS are observed from 10 to 295 K, with more noticeable changes appearing in the 750- and 1200-K data. The specific heat determined from the PDOS measurements is in agreement with macroscopic specific heat measurements, and the overall impact of nondilation anharmonicity on the specific heat has been shown to be less than 2%. An analysis of the phonon measurements shows that the softening of acoustic phonons with temperature is consistent with the quasiharmonic approximation. The optical phonons deviate from the quasiharmonic prediction, with the low-energy optical phonons between approximately 20 and 50 meV softening more than expected, while the higher-energy optical phonons between approximately 50 and 80 meV have no appreciable softening over the temperature range measured. The observation of a small anharmonic specific heat contribution has been shown to be the result of relatively large energy-dependent anharmonic effects which have opposite sign, leading to a total contribution near zero.",

author = "Bryan, {M. S.} and Pang, {J. W.L.} and Larson, {B. C.} and A. Chernatynskiy and Abernathy, {D. L.} and K. Gofryk and Manley, {M. E.}",

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N2 - The impact of anharmonicity on the vibrational entropy and heat capacity of UO2 has been investigated from 10 to 1200 K using inelastic neutron-scattering measurements of the phonon density of states (PDOS). Small changes in the PDOS are observed from 10 to 295 K, with more noticeable changes appearing in the 750- and 1200-K data. The specific heat determined from the PDOS measurements is in agreement with macroscopic specific heat measurements, and the overall impact of nondilation anharmonicity on the specific heat has been shown to be less than 2%. An analysis of the phonon measurements shows that the softening of acoustic phonons with temperature is consistent with the quasiharmonic approximation. The optical phonons deviate from the quasiharmonic prediction, with the low-energy optical phonons between approximately 20 and 50 meV softening more than expected, while the higher-energy optical phonons between approximately 50 and 80 meV have no appreciable softening over the temperature range measured. The observation of a small anharmonic specific heat contribution has been shown to be the result of relatively large energy-dependent anharmonic effects which have opposite sign, leading to a total contribution near zero.

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Impact of anharmonicity on the vibrational entropy and specific heat of UO2

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