Kinetics of Hydrogen Penetration into Palladium in Stationary Mode

It is proposed to use the idea of the rate of hydrogen crossing the metal boundary for the calculation of the hydrogen permeability of palladiumcontaining membranes.The corresponding kinetic coefficient of proportionality between the hydrogen flux density and the hydrogen chemical-potential jump at the metal boundary is introduced.Criteria for distinguishing between diffusion-limited and surface-limited regimes based on the introduced kinetic coefficients are established.This coefficient is amenable to relatively simple experimental determination by a bending-rebending study of a palladium cantilever.The hydrogen flux density through the membrane is calculated as a function of the diffusion coefficient, membrane thickness, and kinetic coefficients at the entrance and exit surfaces.As revealed, the hydrogen flux density and concentration profile within the membrane are influenced by membrane thickness and the rates of hydrogen penetration at the input and output surfaces.Furthermore, it is proposed a simple scheme for calculating the hydrogen permeability of palladium-containing membranes, providing insights for membrane design and optimization.The concentration of atomic hydrogen at the inlet and outlet of the membrane is determined.The results of hydrogen-permeability calculation converge with relevant literature data.This study sheds light on the factors governing the hydrogen permeability in palladium membranes and offers valuable insights for the