Jm. Serra et Am. Vallera, OXYGEN REDISTRIBUTION DURING DIFFUSION IN THIN SILICON LAYERS, Materials science & engineering. B, Solid-state materials for advanced technology, 36(1-3), 1996, pp. 175-178
During diffusion processes in thin solid layers, the usual assumption
of a semi-infinite solid with constant bulk concentration is not valid
. The well-known solution of the diffusion equation, based on compleme
ntary error functions, is therefore not applicable, and numerical solu
tions are normally used. In this work, we report an analytical solutio
n for impurity redistribution by diffusion in thin layers. We compare
the results of an explicit application of this analytical solution to
oxygen out-diffusion in silicon-on-oxide structures with the experimen
tal data, and discuss the limits of its applicability.