Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory

Thermodynamics of plutonium monocarbide is studied from first-principles theory that includes relativistic electronic structure and anharmonic lattice vibrations. Density-functional theory (DFT) is expanded to include orbital-orbital coupling in addition to the relativistic spin-orbit interaction fo...

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Main Authors: Per Söderlind, Alexander Landa, Aurélien Perron, Emily E. Moore, Christine Wu
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Applied Sciences
Subjects:
PuC
DFT
Online Access:https://www.mdpi.com/2076-3417/10/18/6524
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spelling doaj-6c516e59e5b7467ab5b34633fd1b13f42020-11-25T03:56:54ZengMDPI AGApplied Sciences2076-34172020-09-01106524652410.3390/app10186524Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic TheoryPer Söderlind0Alexander Landa1Aurélien Perron2Emily E. Moore3Christine Wu4Lawrence Livermore National Laboratory, Livermore, CA 94550, USALawrence Livermore National Laboratory, Livermore, CA 94550, USALawrence Livermore National Laboratory, Livermore, CA 94550, USALawrence Livermore National Laboratory, Livermore, CA 94550, USALawrence Livermore National Laboratory, Livermore, CA 94550, USAThermodynamics of plutonium monocarbide is studied from first-principles theory that includes relativistic electronic structure and anharmonic lattice vibrations. Density-functional theory (DFT) is expanded to include orbital-orbital coupling in addition to the relativistic spin-orbit interaction for the electronic structure and it is combined with anharmonic, temperature dependent, lattice dynamics derived from the self-consistent ab initio lattice dynamics (SCAILD) method. The obtained thermodynamics are compared to results from simpler quasi-harmonic theory and experimental data. Formation enthalpy, specific heat, and Gibbs energy calculated from the anharmonic model are validated by direct comparison with a calculation of phase diagram (CALPHAD) assessment of PuC and sub-stochiometric PuC<sub>0.896</sub>. Overall, the theory reproduces CALPHAD results and measured data for PuC rather well, but the comparison is hampered by the sub-stoichiometric nature of plutonium monocarbide. It was found that a bare theoretical approach that ignores spin-orbit and orbital-orbital coupling (orbital polarization) of the plutonium 5f electrons promotes too soft phonons and Gibbs energies that are incompatible with that of the CALPHAD assessment of the experimental data. The investigation of PuC suggests that the electronic structure is accurately described by plutonium 5f electrons as “band like” and delocalized, but correlate through spin polarization, orbital polarization, and spin-orbit coupling, in analogy to previous findings for plutonium metal.https://www.mdpi.com/2076-3417/10/18/6524PuCDFTCALPHADelectron correlationanharmonic phononsthermodynamics
collection DOAJ
language English
format Article
sources DOAJ
author Per Söderlind
Alexander Landa
Aurélien Perron
Emily E. Moore
Christine Wu
spellingShingle Per Söderlind
Alexander Landa
Aurélien Perron
Emily E. Moore
Christine Wu
Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory
Applied Sciences
PuC
DFT
CALPHAD
electron correlation
anharmonic phonons
thermodynamics
author_facet Per Söderlind
Alexander Landa
Aurélien Perron
Emily E. Moore
Christine Wu
author_sort Per Söderlind
title Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory
title_short Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory
title_full Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory
title_fullStr Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory
title_full_unstemmed Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory
title_sort thermodynamics of plutonium monocarbide from anharmonic and relativistic theory
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-09-01
description Thermodynamics of plutonium monocarbide is studied from first-principles theory that includes relativistic electronic structure and anharmonic lattice vibrations. Density-functional theory (DFT) is expanded to include orbital-orbital coupling in addition to the relativistic spin-orbit interaction for the electronic structure and it is combined with anharmonic, temperature dependent, lattice dynamics derived from the self-consistent ab initio lattice dynamics (SCAILD) method. The obtained thermodynamics are compared to results from simpler quasi-harmonic theory and experimental data. Formation enthalpy, specific heat, and Gibbs energy calculated from the anharmonic model are validated by direct comparison with a calculation of phase diagram (CALPHAD) assessment of PuC and sub-stochiometric PuC<sub>0.896</sub>. Overall, the theory reproduces CALPHAD results and measured data for PuC rather well, but the comparison is hampered by the sub-stoichiometric nature of plutonium monocarbide. It was found that a bare theoretical approach that ignores spin-orbit and orbital-orbital coupling (orbital polarization) of the plutonium 5f electrons promotes too soft phonons and Gibbs energies that are incompatible with that of the CALPHAD assessment of the experimental data. The investigation of PuC suggests that the electronic structure is accurately described by plutonium 5f electrons as “band like” and delocalized, but correlate through spin polarization, orbital polarization, and spin-orbit coupling, in analogy to previous findings for plutonium metal.
topic PuC
DFT
CALPHAD
electron correlation
anharmonic phonons
thermodynamics
url https://www.mdpi.com/2076-3417/10/18/6524
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