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Mobility assessment of the BCC and carbide phases in the C-Nb, C-U and Nb-U systems

Uranium carbides with refractory metal additions are considered for Gen IV nuclear reactors and nuclear thermal propulsion as fuels for their high-temperature and corrosion resistant properties. Understanding kinetic effects that dictate microstructural evolution during fabrication and operating conditions is essential to advance technological development of these fuels. This work presents the development of an atomic mobility database for C-Nb-U systems based off available experimental data supported with ab-initio methods. The mobility assessments and uncertainty quantification (using Markov chain Monte Carlo) were conducted in the Kawin software. Carbon diffusion is considered dominant, as metal diffusion is much slower, with niobium diffusion being even slower and rate limiting than uranium metal. We provide a comprehensive and self-consistent thermo-kinetic database that is validated by diffusion couple simulations through Kawin. In conclusion, this enables prediction of microstructural and phase evolution critical for the development and lifetime assessment of next generation nuclear fuels.

11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS↗

Materials Data on Nb4C3 by Materials Project

Nb4C3 crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. there are two inequivalent Nb3+ sites. In the first Nb3+ site, Nb3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Nb–C bond lengths are 2.24 Å. In the second Nb3+ site, Nb3+ is bonded to six equivalent C4- atoms to form corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–C bond lengths are 2.24 Å. C4- is bonded to six Nb3+ atoms to form a mixture of corner and edge-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Nb2C by Materials Project

Nb2C is trigonal omega structured and crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one Nb2C sheet oriented in the (0, 0, 1) direction. Nb2+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.21 Å. C4- is bonded to six equivalent Nb2+ atoms to form edge-sharing CNb6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nb6C5 by Materials Project

Nb6C5 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Nb+3.33+ sites. In the first Nb+3.33+ site, Nb+3.33+ is bonded to five C4- atoms to form a mixture of edge and corner-sharing NbC5 square pyramids. There are a spread of Nb–C bond distances ranging from 2.12–2.25 Å. In the second Nb+3.33+ site, Nb+3.33+ is bonded to five C4- atoms to form a mixture of edge and corner-sharing NbC5 square pyramids. There are a spread of Nb–C bond distances ranging from 2.15–2.29 Å. There are three inequivalent C4- sites. In the first C4- site, C4- is bonded to six Nb+3.33+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the second C4- site, C4- is bonded to six Nb+3.33+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. In the third C4- site, C4- is bonded to six Nb+3.33+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°.

36 MATERIALS SCIENCE↗

Materials Data on Nb2C by Materials Project

Nb2C is beta Vanadium nitride-like structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Nb2+ sites. In the first Nb2+ site, Nb2+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. There are two shorter (2.19 Å) and one longer (2.25 Å) Nb–C bond lengths. In the second Nb2+ site, Nb2+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. There are two shorter (2.19 Å) and one longer (2.22 Å) Nb–C bond lengths. C4- is bonded to six Nb2+ atoms to form a mixture of corner and edge-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 50°.

36 MATERIALS SCIENCE↗

Materials Data on NbC by Materials Project

NbC is Halite, Rock Salt structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Nb4+ is bonded to six equivalent C4- atoms to form a mixture of corner and edge-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–C bond lengths are 2.25 Å. C4- is bonded to six equivalent Nb4+ atoms to form a mixture of corner and edge-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on NbC by Materials Project

NbC is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Nb4+ is bonded to six equivalent C4- atoms to form a mixture of edge, face, and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Nb–C bond lengths are 2.29 Å. C4- is bonded to six equivalent Nb4+ atoms to form a mixture of distorted edge and corner-sharing CNb6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on NbC by Materials Project

NbC is Zincblende, Sphalerite structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. Nb4+ is bonded to four equivalent C4- atoms to form corner-sharing NbC4 tetrahedra. All Nb–C bond lengths are 2.10 Å. C4- is bonded to four equivalent Nb4+ atoms to form corner-sharing CNb4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on NbC by Materials Project

NbC is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Nb4+ is bonded in a body-centered cubic geometry to eight equivalent C4- atoms. All Nb–C bond lengths are 2.43 Å. C4- is bonded in a body-centered cubic geometry to eight equivalent Nb4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NbC by Materials Project

NbC is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Nb4+ is bonded to six equivalent C4- atoms to form a mixture of distorted corner and edge-sharing NbC6 pentagonal pyramids. All Nb–C bond lengths are 2.25 Å. C4- is bonded to six equivalent Nb4+ atoms to form a mixture of corner, edge, and face-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 47°.

36 MATERIALS SCIENCE↗

Materials Data on Nb4C3 by Materials Project

Nb4C3 is MAX Phase-derived structured and crystallizes in the trigonal R3m space group. The structure is two-dimensional and consists of three Nb4C3 sheets oriented in the (0, 0, 1) direction. there are four inequivalent Nb3+ sites. In the first Nb3+ site, Nb3+ is bonded to six C4- atoms to form a mixture of distorted edge and corner-sharing NbC6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.27 Å) and three longer (2.28 Å) Nb–C bond lengths. In the second Nb3+ site, Nb3+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.16 Å. In the third Nb3+ site, Nb3+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.18 Å. In the fourth Nb3+ site, Nb3+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. There are three shorter (2.24 Å) and three longer (2.26 Å) Nb–C bond lengths. There are three inequivalent C4- sites. In the first C4- site, C4- is bonded to six Nb3+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second C4- site, C4- is bonded to six Nb3+ atoms to form a mixture of edge, corner, and face-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 47°. In the third C4- site, C4- is bonded to six Nb3+ atoms to form a mixture of edge, corner, and face-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 1–47°.

36 MATERIALS SCIENCE↗