1973
DOI: 10.1149/1.2403545
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Space-Charge and Concentration-Gradient Effects on Anodic Oxide Film Formation

Abstract: Numerical computations illustrate the effects of space charge and a concentration gradient on the steady-state mobile-defect concentration profile and the kinetics of anodic film formation. The position-dependence of the concentration of mobile defects producing growth is shown to vary with current density and film thickness. Of especial interest is a series of curves illustrating the total electrostatic potential developed across the oxide as a function of thickness for growth under constant current condition… Show more

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Cited by 26 publications
(23 citation statements)
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References 7 publications
(17 reference statements)
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“…31 For a 64 nm thick oxide ͑160 monolayers ϫ 0.4 nm lattice parameter͒ growing under a range of current densities, the space-charge region was approximately 15% of the overall thickness of the oxide, i.e., 9.6 nm thick. 30 If specific anions such as fluoride were not present in the electrolyte, the dissolution of the oxide would be greatly reduced ͑and nanopores would not form͒. As such, 10 nm is a reasonable value of the width of the space-charge region for the conditions of anodization considered in the present study.…”
Section: Estimation Of Spacing Of Nanopores and Nanotubesmentioning
confidence: 86%
“…31 For a 64 nm thick oxide ͑160 monolayers ϫ 0.4 nm lattice parameter͒ growing under a range of current densities, the space-charge region was approximately 15% of the overall thickness of the oxide, i.e., 9.6 nm thick. 30 If specific anions such as fluoride were not present in the electrolyte, the dissolution of the oxide would be greatly reduced ͑and nanopores would not form͒. As such, 10 nm is a reasonable value of the width of the space-charge region for the conditions of anodization considered in the present study.…”
Section: Estimation Of Spacing Of Nanopores and Nanotubesmentioning
confidence: 86%
“…The gradual decrease in current that precedes breakdown I suggests, however, that the rate of growth may be lowered by the accumulation of space-charge as the film thickens (11,(16)(17)(18), and a more detailed analysis of the growth law will be given elsewhere (19).…”
Section: Resultsmentioning
confidence: 99%
“…(12)-(15), (16a) and (16b) are simultaneously satisfied. The creation of electric fields in diffusion in ionic solids is found in oxidation of metals [16][17][18] and is believed to be responsible for non-parabolic oxidation kinetics during Zircaloy oxidation in air [19]. Electric-field effects in the oxide film are probably the origin of the initial ''cubic" rate law during Zircaloy oxidation in PWR water.…”
Section: Discussionmentioning
confidence: 99%