Diffusivity of the interstitial hydrogen shallow donor in In 2 O 3
Hydrogen has been found to be an n -type dopant in In 2 O 3 that gives rise to unintentional conductivity. An infrared (IR) absorption line observed at 3306 cm –1 has been assigned to the H i + center. In this work, two types of experiments have been performed to determine the diffusivity of H i + in In 2 O 3 from its IR absorption spectra. (i) At temperatures near 700 K, the O-H line at 3306 cm –1 has been used to determine the diffusivity of H i + from its in-diffusion and out-diffusion behaviors. (ii) At temperatures near 160 K, stress has been used to produce a preferential alignment of the H i + center that has been detected in IR absorption experiments made with polarized light. With the help of theory, the kinetics with which a stress-induced alignment can be produced yield the time constant for a single jump of the H i + center and also the diffusivity of H i + near 160 K. The combination of the diffusivity of H i + found near 700 K by mass-transport measurements and that found near 160 K from the time constant for a single H i + jump determines the diffusivity for H i + over eleven decades!