Abstract
In the present article, the intermixing and clustering of U/Nd, O, and vacancies were studied by both laboratory and synchrotron-based x-ray diffraction in U1−yNdyO2−x alloys. It was found that an increased holding time at the high experimental temperature during initial alloy preparation results in a lower disorder of the Nd distribution in the alloys. Adjustment of the oxygen concentration in the U1−yNdyO2−x alloys with different Nd concentrations was accompanied by the formation of vacancies on the oxygen sublattice and a nanocrystalline component. The lattice parameters in the U1−yNdyO2−x alloys were also found to deviate significantly from Vegard’s law when the Nd concentration was high (53%) and decreased with increasing oxygen concentration. Such changes indicate the formation of large vacancy concentrations during oxygen adjustment at these high temperatures. The change in the vacancy concentration after the oxygen adjustment was estimated relative to Nd concentration and oxygen stoichiometry.
Similar content being viewed by others
References
A.M. Fedosseev, M.S. Grigoriev, N.A. Budantseva, D. Guillaumont, C. Le Naour, E. Simoni, C. Den Auwer, and P. Moisy: Americium(III) coordination chemistry: An unexplored diversity of structure and bonding. C. R. Chim. 13(6–7), 839 (2010).
W.J. Weber, R.C. Ewing, C.R.A. Catlow, T. Diaz de la Rubia, L.W. Hobbs, C. Kinoshita, Hj. Matzke, A.T. Motta, M. Nastasi, E.K.H. Salje, E.R. Vance, and S.J. Zinkle: Radiation effects in crystalline ceramics for the immobilization of high-level nuclear waste and plutonium. J. Mater. Res. 13(6), 1434 (1998).
V. Cocalia, K. Gutowski, and R. Rogers: The coordination chemistry of actinides in ionic liquids: A review of experiment and simulation. Coord. Chem. Rev. 250(7–8), 755 (2006).
Z. Szabo, T. Toraishi, V. Vallet, and I. Grenthe: Solution coordination chemistry of actinides: Thermodynamics, structure and reaction mechanisms. Coord. Chem. Rev. 250(7–8), 784 (2006).
S.C. Middleburgh, R.W. Grimes, K.H. Desai, P.R. Blair, L. Hallstadius, K. Backman, and P. Van Uffelen: Swelling due to fission products and additives dissolved within the uranium dioxide lattice. J. Nucl. Mater. 427(1–3), 359 (2012).
S.C. Middleburgh, D.C. Parfitt, R.W. Grimes, B. Dorado, M. Bertolus, P.R. Blair, L. Hallstadius, and K. Backman: Solution of trivalent cations into uranium dioxide. J. Nucl. Mater. 420, 268 (2012).
K.E. Sickafus, R.W. Grimes, J.A. Valdez, A. Cleave, M. Tang, M. Ishimaru, S.M. Corish, C.R. Stanek, and B.P. Uberuaga: Radiation-induced amorphization resistance and radiation tolerance in structurally related oxides. Nat. Mater. 6(3), 217 (2007).
M. Denecke: Actinide speciation using X-ray absorption fine structure spectroscopy. Coord. Chem. Rev. 250(7–8), 730 (2006).
C. Fillaux, C. Den Auwer, D. Guillaumont, D.K. Shuh, and T. Tyliszczak: Investigation of actinide compounds by coupling X-ray absorption spectroscopy and quantum chemistry. J. Alloys Compd. 444–445, 443 (2007).
C. Fillaux, J-C. Berthet, S.D. Conradson, P. Guilbaud, D. Guillaumont, C. Hennig, P. Moisy, J. Roques, E. Simoni, D.K. Shuh, T. Tyliszczak, I. Castro-Rodriguez, and C. Den Auwer: Combining theoretical chemistry and XANES multi-edge experiments to probe actinide valence states. C. R. Chim. 10(10–11), 859 (2007).
K.N. Raymond, D.L. Wellman, C. Sgarlata, and A.P. Hill: Curvature of the lanthanide contraction: An explanation. C. R. Chim. 13(6–7), 849 (2010).
H. Xue, R. Verma, and J-M. Shreeve: Review of ionic liquids with fluorine-containing anions. J. Fluorine Chem. 127(2), 159 (2006).
T. Ohmichi, S. Fukushima, A. Maeda, and H. Watanabe: On the relation between lattice parameter and O/M ratio for uranium dioxide-trivalent rare earth oxide solid solution. J. Nucl. Mater. 102, 40 (1981).
H.W. Goldstein, E.F. Neilson, P.N. Walsh, and D. White: The heat capacities of yttrium oxide (Y2O3), lanthanum oxide (La2O3), and neodymium oxide (Nd2O3) from 16 to 300 degrees K. J. Phys. Chem. 631445, (1959).
O.S. Vălu, D. Staicu, O. Beneš, R.J.M. Konings, and P. Lajarge: Heat capacity, thermal conductivity and thermal diffusivity of uranium–americium mixed oxides. J. Alloys Compd. V 614, 144 (2014).
M.I. Lelet, E.V. Suleimanov, A.V. Golubev, C.A. Geiger, W. Depmeier, D. Bosbach, and E.V. Alekseev: Thermodynamic properties and behaviour of A2[(UO2)(MoO4)2] compounds with A=Li, Na, K, Rb, and Cs. J. Chem. Thermodyn. 79, 205 (2014).
B.A. Mamedov: Accurate analytical evaluation of heat capacity of nuclear fuels using Einstein-Debye approximation. Nucl. Eng. Des. 276, 124 (2014).
Y.F. Zhang, P.C. Millett, M.R. Tonks, X.M. Bai, and S.B. Biner: Molecular dynamics simulations of intergranular fracture in UO2 with nine empirical interatomic potentials. J. Nucl. Mater. 452(1–3), 296 (2014).
C. Guéneau, N. Dupin, B. Sundman, C. Martial, J-C. Dumas, S. Gossé, S. Chatain, F. De Bruycker, D. Manara, and R.J.M. Konings: Thermodynamic modelling of advanced oxide and carbide nuclear fuels: Description of the U–Pu–O–C systems. J. Nucl. Mater. 419(1–3), 145 (2011).
A.G. Matveeva, M.S. Grigoriev, T.K. Dvoryanchikova, S.V. Matveev, A.M. Safiulina, O.A. Sinegribova, M.P. Passechnik, I.A. Godovikov, D.A. Tatarinov, V.F. Mironov, and I.G. Tananaev: Complexes of (2-methyl-4-oxopent-2-yl)diphenylphosphine oxide with uranyl and neodymium nitrates: Synthesis and structures in the solid state and in solution. Russ. Chem. Bull. 61(2), 399 (2012).
J.W. McMurray, D. Shin, B.W. Slone, and T.M. Besmann: Thermodynamic reassessment of U-Gd-O system. J. Nucl. Mater. 452(1–3), 397 (2014).
W. Huang and H. Chen: Investigation of the elastic, hardness, and thermodynamic properties of actinide oxides. Phys. B: Condens. Matter 449, 133 (2014).
Y.N. Hou, X.T. Xu, N. Xing, F.Y. Bai, S.B. Duan, Q. Sun, S.Y. Wei, Z. Shi, H.Z. Zhang, and Y.H. Xing: Photocatalytic application of 4f-5f inorganic-organic frameworks: Influence of Lanthanide contraction on the structure and functional properties of a series of uranyl-lanthanide complexes. Chempluschem 79(9), 1304 (2014).
G.C. Allen, P.A. Tempest, and J.W. Tyler: Coordination model for the defect structure of hyperstoichiometric UO2+x and U4O9. Nature 295, 48 (1982).
L. Desgranges, Y. Pontillon, P. Matheron, M. Marcet, P. Simon, G. Guimbretiere, and F. Porcher: Miscibility gap in the U-Nd-O phase diagram: A new approach of nuclear oxides in the environment?Inorg. Chem. 51(17), 9147 (2012).
S-M. Lee, T.W. Knigt, S.L. Voit, and R.I. Barabash: The lattice parameter behavior with different Nd and O Concentration in the (U1-yNdy)O2±x solid solution. Nucl. Technol. (2015, in press).
A. Albinati, M.J. Cooper, K.D. Rouse, M.W. Thomas, and B.T.M. Willis: Temperature dependence of the atomic thermal displacements in UO2: A test case for the rietveld profile-refinement procedure. Acta Crystallogr. A A36, 265 (1980).
E.J. Mittemeijer and U. Welzel: The “state of the art” of the diffraction analysis of crystallite size and lattice strain. Z. Kristallogr. 223, 552 (2008).
S. Brandstetter, P.M. Derlet, S. Van Petegem, and H. Van Swygenhoven: Williamson–Hall anisotropy in nanocrystalline metals: X-ray diffraction experiments and atomistic simulations. Acta Mater. 56, 165 (2008).
M.T. Hutchings: High-temperature studies of UO2 and ThO2 using neutron scattering techniques. J. Chem. Soc. Faraday Trans. 83, 1083 (1987).
V.F. Hund and U. Peetz: Untersuchungen der Systeme La2O3, Nd2O3, Sm2O3, Yb2O3, Sc2O3 rnit UsO8. Zeitschrift für Anorgariischc Urtd Allgrmeine Chemie 271, 6 (1952).
M.A. Krivoglaz: Diffuse Scattering of X-rays and Neutrons by Fluctuations (Springer, New York, USA, 1996); pp. 284.
P.H. Dederichs: The theory of diffuse x ray scattering and its application to the study of point defects and their clusters. J. Phys. F: Metal Phys. 3, 471 (1973).
R.I. Barabash, G.E. Ice, E.A. Karapetrova, and P. Zschack: Stress annealing induced diffuse scattering from Ni3 (Al, Si) precipitates. Metall. Mater. Trans. A. 43(5), 1413 (2011).
R.I. Barabash, J.S. Chung, and M.F. Thorpe: Lattice and continuum theories of Huang scattering. J. Phys.: Condens. Matter 11, 3075 (1999).
R.E. Stoller, F.J. Walker, E.D. Specht, D.M. Nicholson, R.I. Barabash, P. Zschack, and G.E. Ice: Diffuse X-ray scattering measurements of point defects and clusters in iron. J. Nucl. Mater. 367–370, 269 (2007).
R.I. Barabash and M.A. Krivoglaz: Influence of anisotropy on X-ray scattering by highly distorted ageing solid solutions. Phys. Met. Metall. 51(5), 1 (1981).
R.I. Barabash and M.A. Krivoglaz: X-ray scattering by polycrystals containing defects with Coulomb displacement fields. Phys. Met. Metall. 45(1), 1 (1979).
G.E. Ice, R.I. Barabash, and W-J. Liu: Diffuse X-ray scattering from tiny sample volumes. Z. Kristallogr. 220(12), 1076 (2005).
International Center for Diffraction Data (ICDD)Pair Distribution Functions (PDF)4 + hsrdb. (2012).
J.P. Stark: Thermodynamic stability of vacancy concentrations during thermal diffusion experiments. Scr. Metall. Mater. 6, 91 (1972).
M.A. Krivoglaz: X-ray and Neutron Diffraction in Nonideal Crystals (Springer, New York, USA, 1996); pp. 465.
R.D. Shannon: Revised effective ionic radii and systematic studies of interatomic distances in Halides and Chalcogenides. Acta Crystallogr. Sec. A 32, 751 (1976).
Y. Yun and W.W. Kim: First principle studies on electronic and defect structures of UO2, ThO2, and PuO2. In Transactions of Korean Nuclear Society Spring Meeting, Jeju, Korea, (2007).
A. Schwartz, M. Dressel, B. Alavi, A. Blank, S. Dubois, G. Grüner, B. Gorshunov, A. Volkov, G. Kozlov, S. Thieme, L. Degiorgi, and F. Lévy: Fluctuation effects on the electrodynamics of quasi-one-dimensional conductors above the charge-density-wave transition. Phys. Rev. B 52(8), 5643 (1995).
M. Rice and E. Mele: Possibility of solitons with charge ±e/2 in highly correlated 1:2 salts of tetracyanoquinodimethane (TCNQ). Phys. Rev. B 25(2), 1339 (1982).
J. Pang, W. Buyers, A. Chernatynskiy, M. Lumsden, B. Larson, and S. Phillpot: Phonon lifetime investigation of anharmonicity and thermal conductivity of UO2 by neutron scattering and theory. Phys. Rev. Lett. 110, 15 (2013).
K. Park and D.R. Olander: A defect model for the oxygen potential of urania. High Temp. Sci. 29, 203 (1990).
B.T.M. Willis: The defect structure of hyper-stoichiometric uranium dioxide. Acta Crystallogr. A 34, 88 (1978).
H.Y. Geng, Y. Chen, Y. Kaneta, M. Iwasawa, T. Ohnuma, and M. Kinoshita: Point defects and clustering in uranium dioxide by LSDA+U calculations. arXiv:0806.1790v1 [cond-mat.mtr]-sci]Rev. B 77, 104120 (2008).
P. Chakraborty, M.R. Tonks, and G. Pastore: Modeling the influence of bubble pressure on grain boundary separation and fission gas release. J. Nucl. Mater. 452(1–3), 95 (2014).
T. Chen, D. Chen, B.H. Sencer, and L. Shao: Molecular dynamics simulations of grain boundary thermal resistance in UO2. J. Nucl. Mater. 452(1–3), 364 (2014).
J. Rest and S.M. Gehl: The mechanistic prediction of transient fission-gas release from LWR fuel. Nucl. Eng. Des. 56(1), 233 (1980).
R.J. White and M.O. Tucker: A new fission-gas release model. J. Nucl. Mater. 118(1), 1 (1983).
S. Plimpton: Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1 (1995).
M. Pirzada, R.W. Grimes, L. Minervini, J.F. Maguire, and K.E. Sickafus: Oxygen migration in A2B2O7 pyrochlores. Solid State Ionics 140, 201 (2001).
B.E. Hanken, C.R. Stanek, N. Gronbech-Jensen, and M. Asta: Computational study of the energetics of charge and cation mixing in U(1-x)Ce(x)O2. Phys. Rev. B 84, 085131 (2011).
D.S. Aidhy, B. Liu, Y. Zhang, and W.J. Weber: Chemical expansion affected oxygen vacancy stability in different oxide structures from first principles calculations. Comput. Mater. Sci. 99, 298 (2015).
D.A. Andersson, G. Baldinozzi, L. Desgranges, D.R. Conradson, and S.D. Conradson: Density functional theory calculations of UO2 oxidation: Evolution of UO2+x U4O9-y, U3O7 and U3O8. Inorg. Chem. 52, 2769 (2013).
Th. Proffen and S.J.L. Billinge: PDFFIT, a program for full profile structural refinement of the atomic pair distribution function. J Appl Cryst. 32, 572 (1999).
J. Perdew and Y. Wang: Pair-distribution function and its coupling-constant average for the spin-polarized electron gas. Phys. Rev. B. Condens. Matter. 46(20), 12947 (1992).
Th. Proffen, S.J.L. Billinge, T. Egami, and D. Louca: Structural analysis of complex materials using the atomic pair distribution function — A practical guide. Z. Kristallogr. 218, 132 (2003).
D.M.C. Nicholson, R.I. Barabash, G.E. Ice, C.J. Sparks, J. Lee Robertson, and C. Wolverton: Relationship between pair and higher-order correlations in solid solutions and other Ising systems. J. Phys.: Condens. Matter 18(50), 11585 (2006).
ACKNOWLEDGMENTS
Research is sponsored by the Department of Energy Office of Nuclear Energy, Fuel Cycle Research and Development Program. The calculations (DSA) were supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division. The National Synchrotron Light Source at Brookhaven National Laboratory is supported under U.S.D.O.E. Grant No. DE-AC02-98CH10886.
Author information
Authors and Affiliations
Corresponding authors
Additional information
This paper has been selected as an Invited Feature Paper.
Rights and permissions
About this article
Cite this article
Barabash, R.I., Voit, S.L., Aidhy, D.S. et al. Cation and vacancy disorder in U1−yNdyO2.00−x alloys. Journal of Materials Research 30, 3026–3040 (2015). https://doi.org/10.1557/jmr.2015.261
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/jmr.2015.261