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Impact of the parameter on the predicted defect chemistry of materials: The example of
Phys. Rev. Materials 10, 065403 – Published 11 June, 2026
DOI: https://doi.org/10.1103/w8xw-ghmh
Abstract
Density functional theory (DFT) provides a powerful tool for describing the electronic properties of materials, however, self-interaction errors in semilocal functionals complicate the accurate modeling of correlated materials. The method is a popular and computationally cost-effective solution for mitigating self-interaction; though, this reduces the ab initio aspect of DFT calculations, as the outcome now becomes dependent on the user's choice of parameters. Atomistic modeling of plutonium dioxide () is employed to provide insight into its evolution in storage or into its properties as mixed-oxide fuel. There is no single parameter that can reproduce all the experimental properties of accurately and, as such, it is important that the parameter is selected with careful consideration. In this work, we use noncollinear simulations to thoroughly examine the defect chemistry of using and , in order to understand the implication the choice of parameter can have on the predicted defect chemistry. We find that both parameters predict the same intrinsic defect chemistry, with the main discrepancy being on the preferred charge state of the oxygen vacancies: for and neutral for . Additionally, we show that the choice of can impact the defect formation energies and preferred charge states of a dopant. When uranium is placed onto a plutonium lattice site, it tends to favor the neutral and charge state (indicative of and ) with , whereas with the and neutral charge states are more stable.
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References (94)
- S. A. Tolba, K. M. Gameel, B. A. Ali, H. A. Almossalami, and N. K. Allam, The : Approaches, accuracy, and applications, in Density Functional Calculations - Recent Progresses of Theory and Application, edited by G. Yang (IntechOpen, London, 2018), Chap. 1.
- D. S. Sholl and J. A. Steckel, Accuracy and methods beyond “standard” calculations, in Density Functional Theory: A Practical Introduction (Wiley, Hoboken, NJ, 2022), Chap. 10.
- F. Aryasetiawan, K. Karlsson, O. Jepsen, and U. Schönberger, Calculations of Hubbard from first-principles, Phys. Rev. B 74, 125106 (2006).
- M. Cococcioni and S. De Gironcoli, Linear response approach to the calculation of the effective interaction parameters in the method, Phys. Rev. B 71, 035105 (2005).
- J.-L. Chen and N. Kaltsoyannis, study of uranium dioxide and plutonium dioxide with occupation matrix control, J. Phys. Chem. C 126, 11426 (2022).
- B. Sun, P. Zhang, and X.-G. Zhao, First-principles local density approximation and generalized gradient approximation studies of plutonium oxides, J. Chem. Phys. 128, 1364 (2008).
- C. Loschen, J. Carrasco, K. M. Neyman, and F. Illas, First-principles and study of cerium oxides: Dependence on the effective parameter, Phys. Rev. B 75, 035115 (2007).
- M. E. A.-d. Dompablo, A. Morales-García, and M. Taravillo, calculations of crystal lattice, electronic structure, and phase stability under pressure of polymorphs, J. Chem. Phys. 135, 054503 (2011).
- C. McNeilly, The electrical properties of plutonium oxides, J. Nucl. Mater. 11, 53 (1964).
- T. M. McCleskey et al., Optical band gap of and from optical absorbance of epitaxial films, J. Appl. Phys. 113, 013515 (2013).
- P. Roussel, Inverse photoemission measurements of plutonium metal and oxides, J. Electron Spectrosc. Relat. Phenom. 246, 147030 (2021).
- W. D. Neilson, J. T. Pegg, H. Steele, and S. T. Murphy, The defect chemistry of non-stoichiometric , Phys. Chem. Chem. Phys. 23, 4544 (2021).
- A. J. Garza and G. E. Scuseria, Predicting band gaps with hybrid density functionals, J. Phys. Chem. Lett. 7, 4165 (2016).
- M. S. T. Noutack, G. Geneste, G. Jomard, and M. Freyss, First-principles investigation of the bulk properties of americium dioxide and sesquioxides, Phys. Rev. Mater. 3, 035001 (2019).
- D. Courteix, J. Chayrouse, L. Heintz, and R. Baptist, XPS study of plutonium oxides, Solid State Commun. 39, 209 (1981).
- T. Gouder, A. Seibert, L. Havela, and J. Rebizant, Search for higher oxides of Pu: A photoemission study, Surf. Sci. 601, L77 (2007).
- A. Seibert, T. Gouder, and F. Huber, Interaction of thin films with water, Radiochimicar Acta 98, 647 (2010).
- D. A. Andersson, G. Baldinozzi, L. Desgranges, D. R. Conradson, and S. D. Conradson, Density functional theory calculations of oxidation: Evolution of , and , Inorg. Chem. 52, 2769 (2013).
- J. Yu, R. Devanathan, and W. J. Weber, First-principles study of defects and phase transition in , J. Phys.: Condens. Matter 21, 435401 (2009).
- A. E. Thompson and C. Wolverton, First-principles study of noble gas impurities and defects in , Phys. Rev. B 84, 134111 (2011).
- B. Dorado and P. Garcia, First-principles modelling of actinide-based alloys: Application to paramagnetic phases of and (U, Pu) mixed oxides, Phys. Rev. B 87, 195139 (2013).
- S. C. Hernandez and E. F. Holby, study of chemical impurities in , J. Phys. Chem. C 120, 13095 (2016).
- D. A. Andersson, J. Lezama, B. P. Uberuaga, C. Deo, and S. D. Conradson, Cooperativity among defect sites in and (A = U, Np, Pu): Density functional calculations, Phys. Rev. B 79, 024110 (2009).
- J.-L. Chen and N. Kaltsoyannis, Computational study of the bulk and surface properties of minor actinide dioxides (MAn = Np, Am, and Cm); water adsorption on stoichiometric and reduced , and surfaces, J. Phys. Chem. C 123, 15540 (2019).
- W. D. Neilson, H. Steele, and S. T. Murphy, Evolving defect chemistry of (Pu, Am), J. Phys. Chem. C 125, 15560 (2021).
- W. D. Neilson, H. Steele, N. Kaltsoyannis, and S. T. Murphy, Accommodation of helium in and the role of americium, Phys. Chem. Chem. Phys. 24, 8245 (2022).
- P. Reunchan, X. Zhou, S. Limpijumnong, A. Janotti, and C. G. V. d. Walle, Vacancy defects in indium oxide: An ab-initio study, Curr. Appl. Phys. 11, S296 (2011).
- J.-P. Crocombette, Influence of charge states on energies of point defects and clusters in uranium dioxide, Phys. Rev. B 85, 144101 (2012).
- C. Ricca, I. Timrov, M. Cococcioni, N. Marzari, and U. Aschauer, Self-consistent site-dependent study of stoichiometric and defective , Phys. Rev. B 99, 094102 (2019).
- D. A. Andersson, S. I. Simak, B. Johansson, I. A. Abrikosov, and N. V. Skorodumova, Modeling of , and in the formalism, Phys. Rev. B 75, 035109 (2007).
- S. Fabris, S. de Gironcoli, S. Baroni, G. Vicario, and G. Balducci, Taming multiple valency with density functionals: A case study of defective ceria, Phys. Rev. B 71, 041102(R) (2005).
- S. Lutfalla, V. Shapovalov, and A. T. Bell, Calibration of the method for determination of reduction energies for transition and rare earth metal oxides of Ti, V, Mo, and Ce, J. Chem. Theory Comput. 7, 2218 (2011).
- M. T. Curnan and J. R. Kitchin, Investigating the energetic ordering of stable and metastable polymorphs using and hybrid functionals, J. Phys. Chem. C 119, 21060 (2015).
- M. Capdevila-Cortada, Z. Łodziana, and N. López, Performance of approaches in the study of catalytic materials ACS Catal. 6, 8370 (2016).
- Nuclear Decommissioning Authority, Progress of plutonium consolidation, storage and disposition, Report, 2019, https://assets.publishing.service.gov.uk/media/5c9e3e0140f0b625e1c bd851/Progress_on_Plutonium.pdf.
- UK Parliament, Plutonium disposition strategy (2025), HC Deb., 24 January 2025, Vol. 760, https://assets.publishing.service.gov.uk/media/5c9e3e0140f0b625e1cbd851/Progress_on_Plutonium.pdf.
- G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
- G. Kresse and J. Furthmüller, Efficiency of ab initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- J. P. Perdew, A. Ruzsinszky, G. I. Csonka, O. A. Vydrov, G. E. Scuseria, L. A. Constantin, X. Zhou, and K. Burke, Restoring the density-gradient expansion for exchange in solids and surfaces, Phys. Rev. Lett. 100, 136406 (2008).
- A. I. Liechtenstein, V. I. Anisimov, and J. Zaanen, Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators, Phys. Rev. B 52, R5467 (1995).
- S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An study, Phys. Rev. B 57, 1505 (1998).
- S. Steiner, S. Khmelevskyi, M. Marsmann, and G. Kresse, Calculation of the magnetic anisotropy with projected-augmented-wave methodology and the case study of disordered alloys, Phys. Rev. B 93, 224425 (2016).
- J. T. Pegg, A. E. Shields, M. T. Storr, A. S. Wills, D. O. Scanlon, and N. H. de Leeuw, Hidden magnetic order in plutonium dioxide nuclear fuel, Phys. Chem. Chem. Phys. 20, 20943 (2018).
- I. Mosquera-Lois, S. R. Kavanagh, A. Walsh, and D. O. Scanlon, ShakeNBreak: Navigating the defect configurational landscape, J. Open Source Softw. 7, 4817 (2022).
- I. Mosquera-Lois, S. R. Kavanagh, A. Walsh, and D. O. Scanlon, Identifying the ground state structures of point defects in solids, npj Comput. Mater. 9, 25 (2023).
- I. Mosquera-Lois and S. R. Kavanagh, In search of hidden defects, Matter 4, 2602 (2021).
- B. Meredig, A. Thompson, H. A. Hansen, C. Wolverton, and A. van de Walle, Method for locating low-energy solutions within , Phys. Rev. B 82, 195128 (2010).
- B. Dorado, B. Amadon, M. Freyss, and M. Bertolus, calculations of the ground state and metastable states of uranium dioxide, Phys. Rev. B 79, 235125 (2009).
- G. Jomard, B. Amadon, F. Bottin, and M. Torrent, Structural, thermodynamic, and electronic properties of plutonium oxides from first principles, Phys. Rev. B 78, 075125 (2008).
- J. P. Allen and G. W. Watson, Occupation matrix control of and electron localisations using , Phys. Chem. Chem. Phys. 16, 21016 (2014).
- M. W. D. Cooper, S. T. Murphy, and D. Andersson, The defect chemistry of from atomistic simulations, J. Nucl. Mater. 504, 251 (2018).
- S. Zhou, H. Ma, E. Xiao, K. Gofryk, C. Jiang, M. E. Manley, D. H. Hurley, and C. A. Marianetti, Capturing the ground state of uranium dioxide from first principles: Crystal distortion, magnetic structure, and phonons, Phys. Rev. B 106, 125134 (2022).
- S. B. Zhang and J. E. Northrup, Chemical potential dependence of defect formation energies in GaAs: Application to Ga self-diffusion, Phys. Rev. Lett. 67, 2339 (1991).
- M. Youssef and B. Yildiz, Intrinsic point-defect equilibria in tetragonal : Density functional theory analysis with finite-temperature effects, Phys. Rev. B 86, 144109 (2012).
- M. Finnis, A. Lozovoi, and A. Alavi, The oxidation of NiAl: What can we learn from ab initio calculations? Annu. Rev. Mater. Res. 35, 167 (2005).
- M. W. Chase and National Information Standards Organization (US), NIST-JANAF Thermochemical Tables (American Chemical Society, Washington, DC, 1998), p. 9.
- C. Freysoldt, B. Lange, J. Neugebauer, Q. Yan, J. L. Lyons, A. Janotti, and C. G. Van de Walle, Electron and chemical reservoir corrections for point-defect formation energies, Phys. Rev. B 93, 165206 (2016).
- W. D. Neilson, J. Rizk, M. W. Cooper, and D. A. Andersson, Oxygen potential, uranium diffusion, and defect chemistry in : A density functional theory study, J. Phys. Chem. C 128 21559 (2024).
- W. D. Neilson and S. T. Murphy, Defap: A Python code for the analysis of point defects in crystalline solids, Comput. Mater. Sci. 210, 111434 (2022).
- A. Jain, S. P. Ong, G. Hautier, W. Chen, W. D. Richards, S. Dacek, S. Cholia, D. Gunter, D. Skinner, G. Ceder, et al., Commentary: The Materials Project: A materials genome approach to accelerating materials innovation, APL Mater. 1, 011002 (2013).
- Y. Kumagai and F. Oba, Electrostatics-based finite-size corrections for first-principles point defect calculations, Phys. Rev. B 89, 195205 (2014).
- S. T. Murphy and N. D. M. Hine, Anisotropic charge screening and supercell size convergence of defect formation energies, Phys. Rev. B 87, 094111 (2013).
- G. Makov and M. C. Payne, Periodic boundary conditions in ab initio calculations, Phys. Rev. B 51, 4014 (1995).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/w8xw-ghmh for additional tables and figures that support the discussion in the paper. This involves (i) the convergence of the finite-size correction for defect formation energies; (ii) the electronic structure of calculated with and 6 eV; and (iii) the relative energies of oxygen vacancies at different sites in a AFM supercell, which includes Refs. [64, 93].
- A. Alkauskas, P. Broqvist, and A. Pasquarello, Defect energy levels in density functional calculations: Alignment and band gap problem, Phys. Rev. Lett. 101, 046405 (2008).
- M. Cooper, M. Rushton, and R. Grimes, A many-body potential approach to modelling the thermomechanical properties of actinide oxides, J. Phys.: Condens. Matter 26, 105401 (2014).
- H. Yu, S. Wang, R. Qiu, G. Li, H. Li, X. Xiang, and W. Luo, New insights into the process of intrinsic point defects in , RSC Adv. 13, 23043 (2023).
- S. Singh, Y. Sonvane, K. Nekrasov, A. Y. Kupryazhkin, P. Gajjar, and S. K. Gupta, A first principles investigation of defect energetics and diffusion in actinide dioxides, J. Nucl. Mater. 591, 154901 (2024).
- S. C. Middleburgh, K. P. D. Lagerlof, and R. W. Grimes, Accommodation of excess oxygen in group II monoxides, J. Am. Ceram. Soc. 96, 308 (2013).
- Y. Lu, Y. Yang, and P. Zhang, Charge states of point defects in plutonium oxide: A first-principles study, J. Alloys Compd. 649, 544 (2015).
- M. Kato, H. Nakamura, M. Watanabe, T. Matsumoto, and M. Machida, Defect chemistry and basic properties of non-stoichiometric , Defect Diffus. Forum 375, 57 (2017).
- K. Naito, T. Tsuji, K. Ouchi, T. Yahata, T. Yamashita, and H. Tagawa, Electrical conductivity anomaly in near-stoichiometric plutonium dioxide, J. Nucl. Mater. 95, 181 (1980).
- B. Ao, R. Qiu, H. Lu, X. Ye, P. Shi, P. Chen, and X. Wang, New insights into the formation of hyperstoichiometric plutonium oxides, J. Phys. Chem. C 119, 101 (2015).
- M. J. Sarsfield, R. J. Taylor, C. Puxley, and H. M. Steele, Raman spectroscopy of plutonium dioxide and related materials, J. Nucl. Mater. 427, 333 (2012).
- J. M. Haschke and T. E. Ricketts, Adsorption of water on plutonium dioxide, J. Alloys Compd. 252, 148 (1997).
- Sellafield Ltd. Corporate Report, The 2017/18 technology development and delivery summary (unpublished).
- G. Swanson, Oxygen Potential of Uranium-Plutonium Oxide as Determined by Controlled-Atmosphere Thermogravimetry (Los Alamos Laboratory, New Mexico, 1975).
- A. Komeno, M. Kato, S. Hirooka, and T. Sunaoshi, Oxygen potentials of , MRS Online Proc. Library (OPL) 1444, mrss12 (2012).
- R. Woodley, Oxygen potentials of plutonia and urania-plutonia solid solutions, J. Nucl. Mater. 96, 5 (1981).
- R. Vauchy, S. Hirooka, and K. Saito, Oxygen potential of plutonium and plutonium- americium dioxides, Mater. Today Commun. 41, 110676 (2024).
- T. Kaloni, N. Onder, J. Pencer, and E. Torres, approach on the electronic and thermal properties of hypostoichiometric , Ann. Nucl. Energy 144, 107511 (2020).
- D. Gryaznov, E. Heifets, and E. Kotomin, Ab initio study of He atom incorporation into crystals, Phys. Chem. Chem. Phys. 11, 7241 (2009).
- A. Soulié, F. Bruneval, M.-C. Marinica, S. Murphy, and J.-P. Crocombette, Influence of vibrational entropy on the concentrations of oxygen interstitial clusters and uranium vacancies in nonstoichiometric , Phys. Rev. Mater. 2, 083607 (2018).
- J. T. Pegg, A. E. Shields, M. T. Storr, A. S. Wills, D. O. Scanlon, and N. H. De Leeuw, Magnetic structure of and by first-principle methods, Phys. Chem. Chem. Phys. 21, 760 (2019).
- K. Momma and F. Izumi, Vesta 3 for three-dimensional visualization of crystal, volumetric and morphology data, J. Appl. Crystallogr. 44, 1272 (2011).
- S. P. Ong, W. D. Richards, A. Jain, G. Hautier, M. Kocher, S. Cholia, D. Gunter, V. L. Chevrier, K. A. Persson, and G. Ceder, Python materials genomics (pymatgen): A robust, open-source Python library for materials analysis, Comput. Mater. Sci. 68, 314 (2013).
- T. Williams and C. Kelley, Gnuplot 4.4: An interactive plotting program, http://gnuplot.sourceforge.net/.
- J. D. Hunter, Matplotlib: A 2D graphics environment, Comput. Sci. Eng. 9, 90 (2007).
- A. M. Ganose, A. J. Jackson, and D. O. Scanlon, sumo: Command-line tools for plotting and analysis of periodic ab initio calculations, J. Open Source Softw. 3, 717 (2018).
- G. Henkelman, A. Arnaldsson, and H. Jónsson, A fast and robust algorithm for Bader decomposition of charge density, Comput. Mater. Sci. 36, 354 (2006).
- See https://doi.org/10.17635/lancaster/researchdata/727.