Fully anharmonic calculations of the free energy of migration of point defects in UO2 and PuO2

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Main Authors: Frost, Dillon G., Bouchet, Johann, Marinica, Mihai-Cosmin, Lapointe, Clovis, Maillet, Jean-Bernard, Messina, Luca
Format: Preprint
Published: 2026
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author Frost, Dillon G.
Bouchet, Johann
Marinica, Mihai-Cosmin
Lapointe, Clovis
Maillet, Jean-Bernard
Messina, Luca
author_facet Frost, Dillon G.
Bouchet, Johann
Marinica, Mihai-Cosmin
Lapointe, Clovis
Maillet, Jean-Bernard
Messina, Luca
contents Calculating diffusion rates of point defects in materials typically relies on the harmonic approximation to estimate migration free energies. However, anharmonic effects can have a large impact on diffusion properties, and explicitly accounting for them is usually computationally demanding and difficult to achieve in practice. In this work, we investigate the role of anharmonic effects on defect migration in UO2 and PuO2 using the potential of average force integration (PAFI) method. Fully anharmonic migration free energies are computed for several cation and anion defect types, using the Cooper-Rushton-Grimes (CRG) potential and a recently developed machine learning spectral neighbour analysis potential (SNAP) for UO2. Results are systematically compared to harmonic estimates based on attempt frequencies and the Debye approximation. Our results reveal that the validity of the harmonic approximation strongly depends on the defect type and the underlying potential, with significant deviations observed in several cases. In particular, defect migration barriers are found to decrease strongly with increasing temperature (up to 1 eV between 0 and 1200 K), and anharmonic contributions can substantially modify migration entropies and, consequently, diffusion coefficients. Comparing defect migration in UO2 and PuO2 using the CRG potential reveals that PuO2 has lower migration enthalpies at 0~K for all considered defects, but this is compensated by higher attempt frequencies, resulting in similar overall jump frequencies in UO2 and PuO2. These findings provide insight into the limitations of commonly used approximations and highlight the importance of anharmonic effects for predictive modeling of diffusion in nuclear fuels as well as in other classes of materials.
format Preprint
id arxiv_https___arxiv_org_abs_2603_16602
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fully anharmonic calculations of the free energy of migration of point defects in UO2 and PuO2
Frost, Dillon G.
Bouchet, Johann
Marinica, Mihai-Cosmin
Lapointe, Clovis
Maillet, Jean-Bernard
Messina, Luca
Materials Science
82D25, 82D40
Calculating diffusion rates of point defects in materials typically relies on the harmonic approximation to estimate migration free energies. However, anharmonic effects can have a large impact on diffusion properties, and explicitly accounting for them is usually computationally demanding and difficult to achieve in practice. In this work, we investigate the role of anharmonic effects on defect migration in UO2 and PuO2 using the potential of average force integration (PAFI) method. Fully anharmonic migration free energies are computed for several cation and anion defect types, using the Cooper-Rushton-Grimes (CRG) potential and a recently developed machine learning spectral neighbour analysis potential (SNAP) for UO2. Results are systematically compared to harmonic estimates based on attempt frequencies and the Debye approximation. Our results reveal that the validity of the harmonic approximation strongly depends on the defect type and the underlying potential, with significant deviations observed in several cases. In particular, defect migration barriers are found to decrease strongly with increasing temperature (up to 1 eV between 0 and 1200 K), and anharmonic contributions can substantially modify migration entropies and, consequently, diffusion coefficients. Comparing defect migration in UO2 and PuO2 using the CRG potential reveals that PuO2 has lower migration enthalpies at 0~K for all considered defects, but this is compensated by higher attempt frequencies, resulting in similar overall jump frequencies in UO2 and PuO2. These findings provide insight into the limitations of commonly used approximations and highlight the importance of anharmonic effects for predictive modeling of diffusion in nuclear fuels as well as in other classes of materials.
title Fully anharmonic calculations of the free energy of migration of point defects in UO2 and PuO2
topic Materials Science
82D25, 82D40
url https://arxiv.org/abs/2603.16602