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Thermodynamics Modeling for Actinide Monocarbides and Mononitrides from First Principles

Journal Article · · Applied Sciences
DOI:https://doi.org/10.3390/app12020728· OSTI ID:1845635

The high-temperature thermodynamical properties for the actinide monocarbides and mononitrides ThC, ThN, UC, UN, PuC, and PuN are calculated from first-principles electronic-structure theory. The electronic structure is modeled with density-functional theory (DFT) and is fully relativistic, including the spin-orbit interaction. Furthermore, the DFT is extended to account for orbital–orbital interactions, by means of a parameter-free orbital-polarization (OP) technique, that has proven to be essential for the 5f electrons in plutonium. Strong anharmonicity and the temperature dependence of the lattice vibrations are captured with the self-consistent ab initio lattice dynamics (SCAILD) method. The calculated free energies and heat capacities are compared to published results from quasi-harmonic (QH) theory, and experiments, where available. For the uranium and plutonium compounds, we make use of CALPHAD assessments to help evaluate the theory. Generally, our anharmonic relativistic approach compares well with both CALPHAD and experiments. For the thorium compounds, our theory is in good accord with QH modeling of the free energy at lower temperatures but for the heat capacity the comparison is less favorable.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1845635
Report Number(s):
LLNL-JRNL-829554; 1045461
Journal Information:
Applied Sciences, Journal Name: Applied Sciences Journal Issue: 2 Vol. 12; ISSN 2076-3417
Publisher:
MDPICopyright Statement
Country of Publication:
United States
Language:
English

References (65)

Thermophysical Properties of Mixtures of Thorium and Uranium Nitride journal September 2021
Ab-initio investigations on dynamical and lattice thermal behaviours of ThC journal April 2021
The chemical thermodynamic properties of nuclear materials I. Uranium mononitride journal March 1972
The chemical thermodynamic properties of nuclear materials III. Plutonium mononitride journal October 1978
Chaleur specifique de UC et UN journal January 1970
Crystallographic and magnetic ordering studies of plutonium carbides using neutron diffraction journal March 1970
Uranium mononitride: Heat capacity and thermal conductivity from 298 to 1000 °K journal March 1971
The heat capacity of uranium mononitride journal February 1972
The chemical thermodynamic properties of nuclear materials journal January 1973
Chaleur specifique de 2 a 300 K du monocarbure de thorium journal September 1975
The chemical thermodynamics of nuclear materials journal February 1980
239PuN powder neutron diffraction study journal October 1984
Thermodynamic modelling of the N–U system journal July 2000
Phase transformations in Pu–Ga alloy: Synergy between simulations and experiments to elucidate direct and indirect reversion competition journal November 2013
The self-consistent ab initio lattice dynamical method journal January 2009
First-principles phase stability, bonding, and electronic structure of actinide metals journal June 2014
Generation-IV nuclear power: A review of the state of the science journal December 2008
A molecular dynamics study of thorium nitride journal May 2005
Phase transformations in PuGa 1at.% alloy: Study of whole reversion process following martensitic transformation journal December 2013
First principles investigation of thermal properties of thorium mononitride journal October 2021
Molecular dynamics studies of actinide nitrides journal September 2005
Electronic structures, mechanical and thermodynamic properties of ThN from first-principles calculations journal January 2011
Thermodynamic modelling of advanced oxide and carbide nuclear fuels: Description of the U–Pu–O–C systems journal December 2011
Uranium nitride as LWR TRISO fuel: Thermodynamic modeling of U–C–N journal August 2012
First-principles study of point defects in thorium carbide journal November 2014
Thermodynamic re-assessment of the Pu–U system and its application to the ternary Pu–U–Ga system journal November 2014
The Pu–U–Am system: An ab initio informed CALPHAD thermodynamic study journal March 2015
A first principle calculation on electronic properties of plutonium mononitride: Insights from dynamical mean field theory journal December 2018
Thermophysical properties of thorium mononitride from 298 to 1700 K journal December 2019
First-principles investigation of uranium mononitride (UN): Effect of magnetic ordering, spin-orbit interactions and exchange correlation functional journal February 2022
The influence of carbon non-stoichiometry on the electronic properties of thorium monocarbide ThC journal September 2010
New Data on the Structure of Uranium Monocarbide journal April 2008
A Screened Hybrid DFT Study of Actinide Oxides, Nitrides, and Carbides journal June 2013
Phonon and magnetic structure in δ-plutonium from density-functional theory journal October 2015
Thermodynamical stability of substoichiometric plutonium monocarbide from first-principles calculations journal January 2020
Exploring the sub-stoichiometric behavior of plutonium mononitride journal January 2020
Thermal Conductivity and Heat Capacity of the Monocarbide, Monophosphide, and Monosulfide of Uranium journal July 1967
Heat Capacity of Plutonium Monocarbide from 400° to 1300°K journal June 1964
Uranium Mononitride: Heat Capacity and Thermodynamic Properties from 5° to 350°K journal July 1966
Density-functional theory for plutonium journal January 2019
Heat Capacity of Neptunium Mononitride journal November 2002
Heat Capacity of Thorium Nitrides from 450 to 850K journal July 1973
An investigation of the magnetic structure of uranium nitride by neutron diffraction journal December 1965
Lattice dynamics and thermal properties of thorium metal and thorium monocarbide journal February 2020
Spin disorder in paramagnetic fcc iron journal June 1989
Orbital polarization in narrow-band systems: Application to volume collapses in light lanthanides journal April 1990
Spin fluctuations in paramagnetic chromium determined from entropy considerations journal June 1993
Projector augmented-wave method journal December 1994
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Classical mean-field approach for thermodynamics: Ab initio thermophysical properties of cerium journal May 2000
Quantifying the importance of orbital over spin correlations in δ − Pu within density-functional theory journal February 2008
Effect of spin-orbit and on-site Coulomb interactions on the electronic structure and lattice dynamics of uranium monocarbide journal August 2016
Anomalous fcc Crystal Structure of Thorium Metal journal July 1995
Is Hund's Second Rule Responsible for the Orbital Magnetism in Solids? journal June 1998
A new high-pressure phase of uranium nitride studied by X-ray diffraction and synchrotron radiation journal February 1985
The crystal structure and the equation of state of thorium nitride for pressures up to 47 GPa journal October 1985
Structural stability and equation of state of thorium carbide for pressures up to 36 GPa journal October 1986
A Consistent Set of Thermodynamic Values for Plutonium Mononitride journal December 1968
Phase stabilities and mechanical properties of two new carbon crystals journal September 2009
Orbital polarization in the Kohn-Sham-Dirac theory journal November 2005
Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory journal September 2020
Ground-State and Thermodynamical Properties of Uranium Mononitride from Anharmonic First-Principles Theory journal September 2019
Assessing Relativistic Effects and Electron Correlation in the Actinide Metals Th to Pu journal November 2019
Development of a CALPHAD Thermodynamic Database for Pu-U-Fe-Ga Alloys journal November 2019

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