“…In our model, hydrogen diffusion through the dense barrier oxide layer is taken as the rate-limiting step for H pickup [5][6][7] . The hydrogen diffusion follows the equation ) , (0 ≤ ≤ ( )) E represents the electric filed across the Zr oxide film and is calculated by…”
Section: Methodsmentioning
confidence: 99%
“…Many studies have focused on understanding the transport of hydrogen through the barrier oxide layer, as this transport is often regarded as the rate-limiting step for H pickup [5][6][7] . A number of factors, including oxide morphology, alloy additive elements and local stress, play important roles in the hydrogen transport process.…”
Section: Introductionmentioning
confidence: 99%
“…According to density functional theory (DFT) calculations, the hydrogen migration energy in the suboxide is higher than that in pure Zr, so the suboxide layer may also slow down the H diffusion and contribute to the diffusion barrier 10 . Using in-situ nuclear reaction analysis, Une et al measured the deuterium concentration depth profile in oxide layers of Zr alloys corroded in D 2 O steam 7 . The result shows a nearly flat concentration profile in the outside layer followed by a steeply decreasing concentration in the inner layer, which agrees well with the anticipated higher diffusivity in the porous oxide and lower diffusivity in the dense oxide.…”
Section: Introductionmentioning
confidence: 99%
“…Due to the lattice mismatch between Zr oxide and metal, high compressive stress is generated in the oxide near the interface 19,20 . Raman spectroscopy measurement revealed that the stress varies cyclically and can be as large as several GPa 7 . DFT calculations found that under 1GPa compressive stress hydrogen diffusion coefficient in tetragonal ZrO 2 is only about 60% of the coefficient without stress at 600 K 15 .…”
Section: Introductionmentioning
confidence: 99%
“…Further TEM analysis discovered that extended networks of degraded grain boundaries were formed from the oxide surface to near the metal/oxide interface, probably due to the preferential dissolution of zirconia in LiOH solution 7 . In this case the H pickup process is controlled by the dissociation reaction of H 2 O at the front of the degraded grain boundaries, rather than the hydrogen diffusion process.…”
A continuum model for calculating the time-dependent hydrogen pickup fractions in various Zirconium alloys under steam and pressured water oxidation has been developed in this study. Using only one fitting parameter, the effective hydrogen gas partial pressure at the oxide surface, a qualitative agreement is obtained between the predicted and previously measured hydrogen pickup fractions. The calculation results therefore demonstrate that H diffusion through the dense oxide layer plays an important role in the hydrogen pickup process. The limitations and possible improvement of the model are also discussed.
“…In our model, hydrogen diffusion through the dense barrier oxide layer is taken as the rate-limiting step for H pickup [5][6][7] . The hydrogen diffusion follows the equation ) , (0 ≤ ≤ ( )) E represents the electric filed across the Zr oxide film and is calculated by…”
Section: Methodsmentioning
confidence: 99%
“…Many studies have focused on understanding the transport of hydrogen through the barrier oxide layer, as this transport is often regarded as the rate-limiting step for H pickup [5][6][7] . A number of factors, including oxide morphology, alloy additive elements and local stress, play important roles in the hydrogen transport process.…”
Section: Introductionmentioning
confidence: 99%
“…According to density functional theory (DFT) calculations, the hydrogen migration energy in the suboxide is higher than that in pure Zr, so the suboxide layer may also slow down the H diffusion and contribute to the diffusion barrier 10 . Using in-situ nuclear reaction analysis, Une et al measured the deuterium concentration depth profile in oxide layers of Zr alloys corroded in D 2 O steam 7 . The result shows a nearly flat concentration profile in the outside layer followed by a steeply decreasing concentration in the inner layer, which agrees well with the anticipated higher diffusivity in the porous oxide and lower diffusivity in the dense oxide.…”
Section: Introductionmentioning
confidence: 99%
“…Due to the lattice mismatch between Zr oxide and metal, high compressive stress is generated in the oxide near the interface 19,20 . Raman spectroscopy measurement revealed that the stress varies cyclically and can be as large as several GPa 7 . DFT calculations found that under 1GPa compressive stress hydrogen diffusion coefficient in tetragonal ZrO 2 is only about 60% of the coefficient without stress at 600 K 15 .…”
Section: Introductionmentioning
confidence: 99%
“…Further TEM analysis discovered that extended networks of degraded grain boundaries were formed from the oxide surface to near the metal/oxide interface, probably due to the preferential dissolution of zirconia in LiOH solution 7 . In this case the H pickup process is controlled by the dissociation reaction of H 2 O at the front of the degraded grain boundaries, rather than the hydrogen diffusion process.…”
A continuum model for calculating the time-dependent hydrogen pickup fractions in various Zirconium alloys under steam and pressured water oxidation has been developed in this study. Using only one fitting parameter, the effective hydrogen gas partial pressure at the oxide surface, a qualitative agreement is obtained between the predicted and previously measured hydrogen pickup fractions. The calculation results therefore demonstrate that H diffusion through the dense oxide layer plays an important role in the hydrogen pickup process. The limitations and possible improvement of the model are also discussed.
Atom probe tomography has been used to the study the distribution of hydrogen and deuterium in the oxide scale of two common zirconium alloys after autoclave testing in H2O and D2O, respectively. Comparison between hydrogen and deuterium in the mass spectra allows for separation of hydrogen as a corrosion product from adsorbed H2 gas from the vacuum chamber. Enrichment of hydrogen and deuterium, as OH + and OD + , was observed in grain boundaries. The grain boundaries were identified through segregation of iron. This lends experimental support to existing theories for the mechanism of hydrogen pickup in zirconium alloys.
Hydrogen diffusion in monoclinic and tetragonal zirconium oxides has been studied by electronic state calculations. In both structures, the optimized hydrogen site lies near the center of a distorted fluorite structure. The activation energy was calculated to be 120-200 kJ/mol, which is similar to experimentally measured values. The effects of compressive stress, alloying elements, and oxygen defects are considered individually. Compressive stress reduces the hydrogen diffusion coefficient by 40%/GPa. Oxygen defects and substituted Fe and Cr are thought to act as trapping sites for hydrogen, which probably reduces hydrogen diffusion in zirconium oxide.
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