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HYDROGEN DIFFUSION IN
INDIUM OXIDE
Hui Xu
ABSTRACT
Hydrogen is an n-type dopant in In2O3, a conducting oxide.
Hydrogen is an important source of n-type conductivity in In2O3 and has been
shown by studies to be a shallow donor.1 Using data from an IR absorption
experiment2 that studied a vibrational line at 3306cm-1 using Fourier Transform
InfraRed spectrometry, hydrogen’s diffusivity is examined in this work. Hydrogen’s
diffusivity is studied through its in-diffusion and out-diffusion in In2O3
single crystals3 . The diffusion process has been simulated in Python language
by solving Fick’s second law with the appropriate boundary conditions. Hydrogen
in-diffusion data was fitted using Scipy4 curve fit function. Fick’s second
law, a second-order partial differential equation, has been solved using Fipy5
, a partial differential equation (PDE) solver written in Python. The
simulation result was then fitted to published experimental data3 through
regression and error analysis to determine the diffusivity of Hi+ in In2O3.
KEYWORDS
Diffusion, hydrogen, temperature, oxide