Direct measurement of hydrogen diffusivity and solubility limits in Zircaloy 2 (formula unit of ZrH0.0155) using incoherent quasi-elastic neutron scattering
Source abstract
Abstract
The diffusivity of hydrogen is an important property of light water nuclear reactor (LWR) fuel cladding. LWR cladding absorbs hydrogen during normal operation, a contributing factor to embrittlement that decreases the lifetime of the fuel. Mass transport of hydrogen is dictated by an Arrhenius behavior typical of solid state diffusion and the associated activation energy is therefore a property relevant to LWR fuel performance. We have used incoherent quasi-elastic neutron scattering (QENS) to directly measure the diffusivity of hydrogen in recrystallized Zircaloy 2 with a hydrogen concentration of 170µg/g . We rely upon the low-Q expansion for long-range diffusion to determine diffusivity as a function of temperature between 572 and 780 K. We find the diffusivity is given by DT=0.0067 exp (-0.461 eV/kT) [cm2/s] below 670 K and by DT=0.0012 exp (-0.36 eV/kT) [cm2/s] above 670 K. Our activation energy below 670 K agrees with the value typically used to assess hydrogen diffusivity in LWR cladding [Kearns, Journal of Nuclear Materials 43 (1972) 330], but is approximately 20% lower above 670 K. The two different activation barriers are attributed to impurity trapping of hydrogen solutes at lower temperature that ceases to influence diffusivity at higher temperature. The application of the Oriani model for diffusion with impurity trapping to our system demonstrates the plausibility of this hypothesis. We believe this mechanism may be responsible for historical discrepancies of measured hydrogen diffusivity in Zr-based alloys. The elastic intensity versus temperature in fixed window scans exhibit inflection points that are in good agreement with the published terminal solid solution solubility limits for hydrogen in Zircaloy 2.
Source: europepmc · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Nuclear Materials and Properties · Thermodynamic and Structural Properties of Metals and Alloys · Hydrogen Storage and Materials
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (48)
Show source-provided references
1. Modeling and simulation of hydrogen behavior in Zircaloy-4 fuel cladding10.1016/j.jnucmat.2014.05.013 ↗
2. A High-fidelity multi-physics coupling for determination of hydride distribution in Zr-4 cladding10.1016/j.anucene.2017.06.049 ↗
3. Three-dimensional multi-physics modeling of hydrogen and hydride distribution in zirconium alloy cladding10.1016/j.pnucene.2018.02.012 ↗
4. Mechanistic materials modeling for nuclear fuel performance10.1016/j.anucene.2017.03.005 ↗
5. The thermodynamics of hydride precipitation: the importance of entropy, enthalpy and disorder10.1016/j.actamat.2014.07.019 ↗
6. General method for incorporating CALPHAD free energies of mixing into phase field models: application to the α-zirconium/δ-hydride system10.1016/j.calphad.2015.10.011 ↗
7. Integrated computational modeling of water side corrosion in zirconium metal clad under nominal LWR operating conditions
8. Diffusion coefficient of hydrogen in alpha zirconium, Zircaloy-2 and Zircaloy-410.1016/0022-3115(72)90065-7 ↗
9. Diffusion of point defects, nucleation of dislocation loops, and effect of hydrogen in hcp-Zr: ab initio and classical simulations10.1016/j.jnucmat.2015.02.013 ↗
10. Effect of hydrogen on dimensional changes of zirconium and the influence of alloying elements: first-principles and classical simulations of point defects, dislocation loops, and hydrides
11. Diffusivity and derivatives for interstitial solutes: activation energy, volume, and elastodiffusion tensors10.1080/14786435.2016.1212175 ↗
12. Atomic-scale Ab-initio study of the Zr-H system: I. Bulk properties10.1016/S1359-6454(02)00173-8 ↗
13. Anisotropic hydrogen diffusion in α-Zr and Zircaloy predicted by accelerated kinetic Monte Carlo simulations10.1038/srep41033 ↗
14. Azimuthally anisotropic hydride lens structures in Zircaloy 4 nuclear fuel cladding: high-resolution neutron radiography imaging and BISON finite element analysis10.1016/j.jnucmat.2017.09.025 ↗
15. Effect of external stress on deuteride (hydride) precipitation in Zircaloy-4 using in situ neutron diffraction10.1016/j.jnucmat.2017.01.042 ↗
16. Hydride formation in zirconium alloys
17. Lemaignan · 1994
18. A review on hydride precipitation in zirconium alloys10.1016/j.jnucmat.2015.07.014 ↗
19. Dissolution and precipitation behavior of hydrides in Zircaloy-2 and high Fe Zircaloy10.1016/S0022-3115(03)00320-9 ↗
20. Synchrotron diffraction study of dissolution and precipitation kinetics of hydrides in Zircaloy-410.1016/j.jnucmat.2011.11.009 ↗
21. Hydrogen solubility and microstructural changes in Zircaloy-4 due to neutron irradiation
22. The terminal solid solubility of hydrogen in irradiated Zircaloy-2 and microscopic modeling of hydride behavior10.1016/j.jnucmat.2009.01.017 ↗
23. Terminal solid solution of hydrogen in unalloyed zirconium by differential scanning calorimetry10.1080/18811248.2004.9715569 ↗
24. Terminal solid solubility of hydrogen in Zr-alloy pressure tube materials10.1016/j.jallcom.2004.07.048 ↗
25. Dissolution and precipitation behaviors of hydrides in N18, Zry-4 and M5 alloys10.1016/j.ijhydene.2009.07.018 ↗
26. Small-angle neutron scattering measurements of δ-phase deuteride (hydride) precipitates in Zircaloy 410.1107/S160057671800479X ↗
27. Vibrational density of states measurement of hydrogen trapped at dislocations in deformed PdH0.000810.1103/PhysRevB.78.214101 ↗
28. Direct measurement of hydrogen dislocation pipe diffusion in deformed polycrystalline Pd using quasielastic neutron scattering10.1103/PhysRevLett.113.025504 ↗
29. SANS measurements of deuteride (hydride) formation in single crystal Pd10.1016/S0925-8388(99)00256-X ↗
30. Neutron quasi-elastic scattering study of hydrogen diffusion in a single crystal of palladium10.1103/PhysRevLett.29.1250 ↗
31. Introduction to quasielastic neutron scattering
32. Neutron scattering from a liquid on a jump diffusion model10.1088/0370-1328/77/2/319 ↗
33. Incoherent Quasielastic Neutron Scattering study of hydrogen diffusion in thorium–zirconium hydrides10.1016/j.jnucmat.2010.04.003 ↗
34. Hydrogen diffusion in bulk and nanocrystalline palladium: a quasielastic neutron scattering study10.1103/PhysRevB.94.064303 ↗
35. The high-flux backscattering spectrometer at the NIST Center for Neutron Research10.1063/1.1568557 ↗
36. The mechanism of hydrogen diffusion in zirconium dihydrides10.1088/0953-8984/6/15/015 ↗
37. ASTM International Standard B351/B351M-13 · 2018
38. Texture and stress state dependent creep in Zircaloy-210.1007/BF02642346 ↗
39. Study of the mechanical behavior of the hydride blister/rim structure in Zircaloy-4 using in-situ synchrotron X-ray diffraction10.1016/j.jnucmat.2015.12.048 ↗
40. Effect of external stress on deuteride (hydride) precipitation in Zircaloy-4 using in situ neutron diffraction10.1016/j.jnucmat.2017.01.042 ↗
41. Solubility and kinetic properties of deuterium in single crystal Pd10.1016/S0925-8388(00)01153-1 ↗
42. DAVE: a comprehensive software suite for the reduction, visualization, and analysis of low energy neutron spectroscopic data10.6028/jres.114.025 ↗
43. The diffusion and solubility of hydrogen in the alpha phase of Zircaloy-210.1016/0022-3115(60)90025-8 ↗
44. Low-pressure solubility and diffusion of hydrogen in zirconium10.1149/1.2428522 ↗
45. In-situ investigation of hydrogen diffusion in Zircaloy-4 by means of neutron radiography10.1088/1742-6596/340/1/012106 ↗
46. The diffusion and trapping of hydrogen in steel10.1016/0001-6160(70)90078-7 ↗
47. Monte-Carlo simulations of interstitial diffusion and trapping—I. One type of traps and dislocations10.1016/0001-6160(87)90235-5 ↗
48. Least-squares fitting of a straight line10.1139/p66-090 ↗