Assessment of empirical interatomic potential to predict thermal conductivity in ThO2 and UO2
Abstract
Computing vibrational properties of crystals in the presence of complex defects often necessitates the use of (semi-)empirical potentials, which are typically not well characterized for perfect crystals. In this study we explore the efficacy of a commonly used embedded-atomempirical interatomic potential for the UxTh1-xO2 system, to compute phonon dispersion, lifetime, and branch specific thermal conductivity. Our approach for ThO2 involves using lattice dynamics and the linearized Boltzmann transport equation to calculate phonon transport properties based on second and third order force constants derived from the empirical potential and from first-principles calculations. For UO2, to circumvent the accuracy issues associated with first-principles treatments of strong electronic correlations, we compare results derived from the empirical interatomic potential to previous experimental results. It is found that the empirical potential can reasonably capture the dispersion of acoustic branches, but exhibits significant discrepancies for the optical branches, leading to overestimation of phonon lifetime and thermal conductivity. The branch specific conductivity also differs significantly with either first-principles based results (ThO2) or experimental measurements (UO2). These findings suggest that the empirical potential needs to be further optimized for robust prediction of thermal conductivity both in perfect crystals and in the presence of complex defects.
- Authors:
-
- Pennsylvania State Univ., University Park, PA (United States)
- The Ohio State Univ., Columbus, OH (United States)
- Idaho National Lab. (INL), Idaho Falls, ID (United States)
- Columbia Univ., New York, NY (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Energy Frontier Research Centers (EFRC) (United States). Center for Thermal Energy Transport under Irradiation
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Nuclear Energy (NE)
- OSTI Identifier:
- 1809936
- Grant/Contract Number:
- AC05-00OR22725; AC07-05ID14517
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Physics. Condensed Matter
- Additional Journal Information:
- Journal Volume: 33; Journal Issue: 27; Journal ID: ISSN 0953-8984
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; phonon; thermal conductivity; phonon dispersion; phonon lifetime; density functional theory; empirical interatomic potential
Citation Formats
Jin, Miaomiao, Khafizov, Marat, Jiang, Chao, Zhou, Shuxiang, Marianetti, Chris A., Bryan, Matthew S., Manley, Michael E., and Hurley, David H. Assessment of empirical interatomic potential to predict thermal conductivity in ThO2 and UO2. United States: N. p., 2021.
Web. doi:10.1088/1361-648x/abdc8f.
Jin, Miaomiao, Khafizov, Marat, Jiang, Chao, Zhou, Shuxiang, Marianetti, Chris A., Bryan, Matthew S., Manley, Michael E., & Hurley, David H. Assessment of empirical interatomic potential to predict thermal conductivity in ThO2 and UO2. United States. https://doi.org/10.1088/1361-648x/abdc8f
Jin, Miaomiao, Khafizov, Marat, Jiang, Chao, Zhou, Shuxiang, Marianetti, Chris A., Bryan, Matthew S., Manley, Michael E., and Hurley, David H. Fri .
"Assessment of empirical interatomic potential to predict thermal conductivity in ThO2 and UO2". United States. https://doi.org/10.1088/1361-648x/abdc8f. https://www.osti.gov/servlets/purl/1809936.
@article{osti_1809936,
title = {Assessment of empirical interatomic potential to predict thermal conductivity in ThO2 and UO2},
author = {Jin, Miaomiao and Khafizov, Marat and Jiang, Chao and Zhou, Shuxiang and Marianetti, Chris A. and Bryan, Matthew S. and Manley, Michael E. and Hurley, David H.},
abstractNote = {Computing vibrational properties of crystals in the presence of complex defects often necessitates the use of (semi-)empirical potentials, which are typically not well characterized for perfect crystals. In this study we explore the efficacy of a commonly used embedded-atomempirical interatomic potential for the UxTh1-xO2 system, to compute phonon dispersion, lifetime, and branch specific thermal conductivity. Our approach for ThO2 involves using lattice dynamics and the linearized Boltzmann transport equation to calculate phonon transport properties based on second and third order force constants derived from the empirical potential and from first-principles calculations. For UO2, to circumvent the accuracy issues associated with first-principles treatments of strong electronic correlations, we compare results derived from the empirical interatomic potential to previous experimental results. It is found that the empirical potential can reasonably capture the dispersion of acoustic branches, but exhibits significant discrepancies for the optical branches, leading to overestimation of phonon lifetime and thermal conductivity. The branch specific conductivity also differs significantly with either first-principles based results (ThO2) or experimental measurements (UO2). These findings suggest that the empirical potential needs to be further optimized for robust prediction of thermal conductivity both in perfect crystals and in the presence of complex defects.},
doi = {10.1088/1361-648x/abdc8f},
journal = {Journal of Physics. Condensed Matter},
number = 27,
volume = 33,
place = {United States},
year = {Fri May 28 00:00:00 EDT 2021},
month = {Fri May 28 00:00:00 EDT 2021}
}
Works referenced in this record:
Intrinsic lattice thermal conductivity of semiconductors from first principles
journal, December 2007
- Broido, D. A.; Malorny, M.; Birner, G.
- Applied Physics Letters, Vol. 91, Issue 23
Thermodynamic properties of CexTh1−xO2 solid solution from first-principles calculations
journal, January 2013
- Xiao, H. Y.; Zhang, Y.; Weber, W. J.
- Acta Materialia, Vol. 61, Issue 2
Thermal Conductivity in Nanocrystalline Ceria Thin Films
journal, December 2013
- Khafizov, Marat; Park, In-Wook; Chernatynskiy, Aleksandr
- Journal of the American Ceramic Society, Vol. 97, Issue 2
Advances in first-principles modelling of point defects in UO 2 : f electron correlations and the issue of local energy minima
journal, July 2013
- Dorado, B.; Freyss, M.; Amadon, B.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 33
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996
- Kresse, G.; Furthmüller, J.
- Computational Materials Science, Vol. 6, Issue 1, p. 15-50
A many-body potential approach to modelling the thermomechanical properties of actinide oxides
journal, February 2014
- Cooper, M. W. D.; Rushton, M. J. D.; Grimes, R. W.
- Journal of Physics: Condensed Matter, Vol. 26, Issue 10
Elastic properties of UO 2 at high pressure
journal, October 1976
- Fritz, I. J.
- Journal of Applied Physics, Vol. 47, Issue 10
Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces
journal, April 2007
- Behler, Jörg; Parrinello, Michele
- Physical Review Letters, Vol. 98, Issue 14
How to resolve a phonon-associated property into contributions of basic phonon modes
journal, August 2019
- Cheng, Long; Zhang, Chenmu; Liu, Yuanyue
- Journal of Physics: Materials, Vol. 2, Issue 4
Hydrothermal Growth and Thermal Property Characterization of ThO 2 Single Crystals
journal, May 2010
- Mann, Matthew; Thompson, Daniel; Serivalsatit, Karn
- Crystal Growth & Design, Vol. 10, Issue 5
Combining mesoscale thermal transport and x-ray diffraction measurements to characterize early-stage evolution of irradiation-induced defects in ceramics
journal, July 2020
- Khafizov, Marat; Riyad, M. Faisal; Wang, Yuzhou
- Acta Materialia, Vol. 193
First principles phonon calculations in materials science
journal, November 2015
- Togo, Atsushi; Tanaka, Isao
- Scripta Materialia, Vol. 108
Fast & accurate interatomic potentials for describing thermal vibrations
journal, November 2020
- Rohskopf, Andrew; Wyant, Spencer; Gordiz, Kiarash
- Computational Materials Science, Vol. 184
Primary radiation damage on displacement cascades in UO2, ThO2 and (U0.5Th0.5)O2
journal, November 2018
- Rahman, M. J.; Cooper, M. W. D.; Szpunar, B.
- Computational Materials Science, Vol. 154
Microstructure changes and thermal conductivity reduction in UO2 following 3.9 MeV He2+ ion irradiation
journal, November 2014
- Pakarinen, Janne; Khafizov, Marat; He, Lingfeng
- Journal of Nuclear Materials, Vol. 454, Issue 1-3
Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995
- Plimpton, Steve
- Journal of Computational Physics, Vol. 117, Issue 1
Anisotropic thermal conductivity in uranium dioxide
journal, August 2014
- Gofryk, K.; Du, S.; Stanek, C. R.
- Nature Communications, Vol. 5, Issue 1
The influence of lattice defects, recombination, and clustering on thermal transport in single crystal thorium dioxide
journal, November 2020
- Dennett, Cody A.; Hua, Zilong; Khanolkar, Amey
- APL Materials, Vol. 8, Issue 11
Thermal conductivity of bulk and porous ThO2: Atomistic and experimental study
journal, August 2019
- Malakkal, Linu; Prasad, Anil; Jossou, Ericmoore
- Journal of Alloys and Compounds, Vol. 798
Thermal Conductivity of Nearly Stoichiometric Single-Crystal and Polycrystalline UO 2
journal, January 1971
- Moore, J. P.; Mcelroy, D. L.
- Journal of the American Ceramic Society, Vol. 54, Issue 1
Atomistic models to investigate thorium dioxide (ThO 2 )
journal, May 2012
- Behera, Rakesh K.; Deo, Chaitanya S.
- Journal of Physics: Condensed Matter, Vol. 24, Issue 21
Molecular dynamical study of physical properties of (U0.75Pu0.25)O2−x
journal, September 2014
- Ma, Jiangjiang; Zheng, Jingjing; Wan, Minjie
- Journal of Nuclear Materials, Vol. 452, Issue 1-3
Systematic analysis on the primary radiation damage in fluorite systems
journal, August 2020
- Jin, Miaomiao; Jiang, Chao; Gan, Jian
- Journal of Nuclear Materials, Vol. 536
Effect of pores and He bubbles on the thermal transport properties of UO2 by molecular dynamics simulation
journal, January 2015
- Lee, C. -W.; Chernatynskiy, A.; Shukla, P.
- Journal of Nuclear Materials, Vol. 456
Modeling oxygen self-diffusion in UO2 under pressure
journal, December 2015
- Cooper, M. W. D.; Grimes, R. W.; Fitzpatrick, M. E.
- Solid State Ionics, Vol. 282
A comparative analysis of the phonon properties in UO2 using the Boltzmann transport equation coupled with DFT + U and empirical potentials
journal, May 2020
- Torres, E.; CheikNjifon, I.; Kaloni, T. P.
- Computational Materials Science, Vol. 177
Lattice thermodynamic behavior in nuclear fuel ThO2 from first principles
journal, December 2018
- Liu, Jianye; Dai, Zhenhong; Yang, Xiuxian
- Journal of Nuclear Materials, Vol. 511
Nonlinear propagating modes beyond the phonons in fluorite-structured crystals
journal, November 2020
- Bryan, Matthew S.; Fu, Lyuwen; Rickert, Karl
- Communications Physics, Vol. 3, Issue 1
Thermal diffusivity and conductivity of thorium–plutonium mixed oxides
journal, September 2011
- Cozzo, C.; Staicu, D.; Somers, J.
- Journal of Nuclear Materials, Vol. 416, Issue 1-2
Modelling the thermal conductivity of (U Th1−)O2 and (U Pu1−)O2
journal, November 2015
- Cooper, M. W. D.; Middleburgh, S. C.; Grimes, R. W.
- Journal of Nuclear Materials, Vol. 466
Simulation of radiation driven fission gas diffusion in UO2, ThO2 and PuO2
journal, December 2016
- Cooper, M. W. D.; Stanek, C. R.; Turnbull, J. A.
- Journal of Nuclear Materials, Vol. 481
Effects of edge dislocations on thermal transport in UO2
journal, March 2013
- Deng, B.; Chernatynskiy, A.; Shukla, P.
- Journal of Nuclear Materials, Vol. 434, Issue 1-3
Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals
journal, June 1984
- Daw, Murray S.; Baskes, M. I.
- Physical Review B, Vol. 29, Issue 12
Thermal conductivity of UO2+x and U4O9−y
journal, November 2013
- White, J. T.; Nelson, A. T.
- Journal of Nuclear Materials, Vol. 443, Issue 1-3