Funct. Mater. 2025; 32 (4): 645-649.
Modeling self-diffusion in NpO2 by connecting point defect parameters with bulk properties
1Department of Electrical and Computer Engineering, University of Thessaly, 38333 Volos, Greece
2Department of Materials, Imperial College London, London SW7 2BP, United Kingdom
3School of Nuclear Engineering, Purdue University, West Lafayette, In, USA
4Physics Department, V. Karazin Kharkiv National University, Svobody Sq.4, 61077 Kharkiv, Ukraine
The energetics of oxygen self-diffusion in NpO2 over a range of temperatures is important for nuclear fuel applications. This can be realized using the cBΩ thermodynamic model where the defect Gibbs energy is proportional to the isothermal bulk modulus (B) and the mean volume per atom (Ω). In the present study we employ elastic and expansivity data in the framework of the cBΩ model to derive the oxygen self-diffusion coefficient in NpO2 in the temperature range 2000 K to 2900 K. The predicted results are in agreement with the available experimental and theoretical data.
1. K. Lang, V. Madhavan, J.E. Hoffman, E.W. Hudson, H. Eisaki, S. Uchida, and J.C. Davis, Nature (London), 415 (2002) 412-416. https://doi.org/10.1038/415412a
2. R.V. Vovk, M.A. Obolenskii, A.A. Zavgorodniy, A.V. Bondarenko, I.L. Goulatis, A.V. Samoilov, and A. Chroneos, J. Alloys Compds. 453 (2008) 69-74. https://doi.org/10.1016/j.jallcom.2006.11.169
3. R. Devanathan, W.J. Weber, and G.D. Gale, Energy Environ. Sci. 3 (2010) 1551-1559. https://doi.org/10.1039/c0ee00066c
4. R.V. Vovk, Z.F. Nazyrov, M.A. Obolenskii, I.L. Goulatis, A. Chroneos, and V.M. Pinto Simoes, Phil. Mag. 91 (2011) 2291-2302. https://doi.org/10.1080/14786435.2011.552893
5. E.N. Sgourou, D. Timerkaeva, C.A. Londos, D. Aliprantis, A. Chroneos, D. Caliste, and P. Pochet, J. Appl. Phys. 113 (2013) 113506. https://doi.org/10.1063/1.4795510
6. E. Zapata-Solvas, S.R.G. Christopoulos, N. Ni, D.C. Parfitt, D. Horlait, M.E. Fitzpatrick, A. Chroneos, and W.E. Lee, J. Am. Ceram. Soc. 100 (2017) 1377-1387. https://doi.org/10.1111/jace.14742
7. A.L. Solovjov, L.V. Omelchenko, E.V. Petronko, R.V. Vovk, V.V. Khokevych, and A. Chroneos, Sci. Rep. 9 (2019) 20424. https://doi.org/10.1038/s41598-019-45286-w
8. A.L. Solovjov, E.V. Petrenko, L.V. Omelchenko, R.V. Vovk, I.L. Goulatis, and A. Chroneos, Sci. Rep. 9 (2019) 9274. https://doi.org/10.1038/s41598-019-45286-w
9. F. Chiabrera, I. Garbayo, L. Lopez-Conesa, G. Martin, A. Ruiz-Caridad, M. Walls, L. Ruiz-Gonzalez, et al., Adv. Mater. 31 (2019) 1805360. https://doi.org/10.1002/adma.201805360
10. F. Baiutti, F. Chiabrera, M. Acosta, D. Diercks, D. Parfitt, J. Santiso, X. Wang, A. Chroneos, et al., Nat. Commun. 12 (2021) 2660. https://doi.org/10.1038/s41467-021-22916-4
11. H. Bracht and A. Chroneos, J. Appl. Phys. 104 (2008) 076108. https://doi.org/10.1063/1.2996284
12. A. Chroneos, J. Appl. Phys. 105 (2009) 056101. https://doi.org/10.1063/1.3086664
13. A. Chroneos, R.W. Grimes, and H. Bracht, J. Appl. Phys. 105 (2009) 016102. https://doi.org/10.1063/1.3056387
14. A. Chroneos, R.W. Grimes, and H. Bracht, J. Appl. Phys. 106 (2009) 063707. https://doi.org/10.1063/1.3224900
15. A. Chroneos and C.A. Londos, J. Appl. Phys. 107 (2010) 093518. https://doi.org/10.1063/1.3409888
16. A. Chroneos, C.A. Londos, and E.N. Sgourou, J. Appl. Phys. 110 (2011) 093507. https://doi.org/10.1063/1.3658261
17. A. Chroneos, M.J.D. Rushton, C. Jiang, and L.H. Tsoukalas, J. Nucl. Mater. 441 (2013) 29-39. https://doi.org/10.1016/j.jnucmat.2013.05.012
18. S.T. Murphy, J. Phys. Commun. 4 (2020) 115003. https://doi.org/10.1088/2399-6528/abc9a7
19. A. Abdurrazaq, A.T. Raji, and W.E. Meyer, Silicon 13 (2021) 1969-1977. https://doi.org/10.1007/s12633-020-00548-5
20. V. Pelenitsyn and P. Korotaev, Comp. Mater. Sci. 207 (2022) 111273. https://doi.org/10.1016/j.commatsci.2022.111273
21. W.E. Lee, M. Gilbert, S.T. Murphy, R.W. Grimes, J. Am. Ceram. Soc. 96 (2013) 2005-2030. https://doi.org/10.1111/jace.12406
22. S.C. Middleburgh, G.R. Lumpkin, R.W. Grimes, Solid State Ionics 253 (2013) 119-122. https://doi.org/10.1016/j.ssi.2013.09.020
23. W.M.D. Cooper, S.C. Middleburgh, R.W. Grimes, Solid State Ionics 266 (2014) 68-72. https://doi.org/10.1016/j.ssi.2014.08.010
24. M. Lung, O. Gremm, Nucl. Eng. Des. 180 (1998) 133. https://doi.org/10.1016/S0029-5493(97)00296-3
25. C. Lombardi, L. Luzzi, E. Padovani, F. Vettraino, Prog. Nucl. Energy 50 (2008) 944. https://doi.org/10.1016/j.pnucene.2008.03.006
26. S.T. Murphy, W.M.D. Cooper, R.W. Grimes, Solid State Ionics 267 (2014) 80-87. https://doi.org/10.1016/j.ssi.2014.09.017
27. M. Kazimi, Am. Sci. 91 (2003) 408. https://doi.org/10.1511/2003.32.408
28. R. Hargraves, R.W. Moir, Am. Sci. 98 (2010) 304. https://doi.org/10.1511/2010.85.304
29. A. Chroneos, I. Goulatis, A. Daskalopulu, L.H. Tsoukalas, Prog. Nucl. Energy 164 (2023) 104839. https://doi.org/10.1016/j.pnucene.2023.104839
30. R.A.P. Dwijayanto, F. Miftasani, A.W. Harto, Prog. Nucl. Energy 176 (2024) 105369. https://doi.org/10.1016/j.pnucene.2024.105369
31. P.A. Bellino, H.O. Mosca, S. Jaroszewicz, J. Alloys Compd. 696 (2017) 944-951. https://doi.org/10.1016/j.jallcom.2016.10.205
32. P.A. Bellino, private communication (2017).
33. R. Konings, J. Kloosterman, Prog. Nucl. Energy 38 (2001) 331-334. https://doi.org/10.1016/S0149-1970(00)00129-3
34. P. Dey, M. Giroux, A. Khaperskaya, J. Laidler, A. Machiels, M. Masson, F. Storrer, G. Uchiyama, Spent Fuel Reprocessing Options, IAEA-TECDOC-1587.
35. V. Smirnov, V. Sobolev, J. Somers, R. Srivenkatesan, A. Stanculescu, V. Subbotin, A. Surenkov, T. Suzuki, M. Szieberth, S. Taczanowski, et al, Advanced Reactor Technology Options for Utilization and Transmutation of Actinides in Spent Nuclear Fuel, IAEA-TECDOC-1626.
36. C.J. Park, K.H. Kang, H.J. Ryu, C.Y. Lee, I.H. Jung, J.S. Moon, J.H. Park, S.H. Na, K.C. Song, Ann. Nucl. Energy 35 (2008) 1805e1812. https://doi.org/10.1016/j.anucene.2008.05.003
37. J. Somers, Energy Procedia 7 (2011) 169e176. https://doi.org/10.1016/j.egypro.2011.06.023
38. C. Walker, G. Nicolaou, J. Nucl. Mater. 218 (1995) 129e138. https://doi.org/10.1016/0022-3115(94)00649-0
39. T. Soga, T. SekinE, K. Tanaka, R. Kitamura, T. Aoyama, J. Power Energy Syst. 2 (2008) 692e702. https://doi.org/10.1299/jpes.2.692
40. J. Philibert, Defect Diffus. Forum 249 (2006) 61. https://doi.org/10.4028/www.scientific.net/DDF.249.61
41. P. Varotsos, K. Alexopoulos, Phys. Rev. B 15 (1977) 411. https://doi.org/10.1103/PhysRevB.15.4111
42. P. Varotsos, K. Alexopoulos, Phys. Rev. B 15 (1977) 2348. https://doi.org/10.1103/PhysRevB.15.2348
43. P. Varotsos, K. Alexopoulos, Phys. Rev. B 22 (1980) 3130. https://doi.org/10.1103/PhysRevB.22.3130
44. P. Varotsos, K. Alexopoulos, Thermodynamics of Point Defects and their Relation with the Bulk Properties (North-Holland, Amsterdam, 1986).
45. P. Varotsos, J. Appl. Phys. 101 (2007) 123503. https://doi.org/10.1063/1.2745359
46. P. Varotsos, Solid State Ionics 179 (2008) 438-441. https://doi.org/10.1016/j.ssi.2008.02.055
47. B.H. Zhang, X.P. Wu, Appl. Phys. Lett. 100 (2012) 051901. https://doi.org/10.1063/1.3680600
48. F. Vallianatos, V. Saltas, Phys. Chem. Minerals 41, 181 (2014) https://doi.org/10.1007/s00269-013-0636-y
49. E.S. Skordas, Solid State Ionics 261 (2014) 26. https://doi.org/10.1016/j.ssi.2014.04.001
50. A. Chroneos, and R.V. Vovk, Solid State Ionics, 274 (2015) 1-3. https://doi.org/10.1016/j.ssi.2015.02.010
51. M.W.D. Cooper, R.W. Grimes, M.E. Fitzpatrick, and A. Chroneos, Solid State Ionics 282 (2015) 26-30. https://doi.org/10.1016/j.ssi.2015.09.006
52. D.C. Parfitt, M.W.D. Cooper, M.J.D. Rushton, S.R.G. Christopoulos, M.E. Fitzpatrick, and A. Chroneos, RSC Adv. 6 (2016) 74018. https://doi.org/10.1039/C6RA14424A
53. D. Parfitt, A. Kordatos, P.P. Filippatos, A. Chroneos, Appl. Phys. Rev. 4 (2017) 031305. https://doi.org/10.1063/1.5001276
54. V. Saltas, D. Horlait, E.N. Sgourou, F. Vallianatos, A. Chroneos, Appl. Phys. Rev. 4 (2017) 41301. https://doi.org/10.1063/1.4999129
55. P.S. Ghosh, A. Arya, N. Kuganathan, R.W. Grimes, J. Nucl. Mater. 521 (2019) 89-98. https://doi.org/10.1016/j.jnucmat.2019.04.039
56. A. L. Solovjov, M. A. Tkacheno, R. V. Vovk, and A. Chroneos, Physica C 501 (2014) 24-31. https://doi.org/10.1016/j.physc.2014.03.004
57. H.A. Tahini, A. Chroneos, S.T. Murphy, U. Schwingenschlögl, and R.W. Grimes, J. Appl. Phys. 114, (2013) 063517. https://doi.org/10.1063/1.4818484
58. A. Fakharuddin, M. Vasilopoulou, A. Soultati, M.I. Haider, J. Briscoe, V. Fotopoulos, D. Di Girolamo, D. Davazoglou, A. Chroneos, A.B. Yusoff, A. Abate, L. Schmidt-Mende, and M.K. Nazeeruddin, Solar RRL, 5 (2021) 2000555. https://doi.org/10.1002/solr.202000555