This work presents a simple model for the thermal growth of SiO2 thin
films on silicon substrates which may shed some light on the theory of
silicon oxidation processes. In the model it is assumed that the time
rate evolution of the oxidized region is proportional to the average
number of non-oxidized silicon sites in a transition region. As a cons
equence, the oxide thickness x is found to scale with the oxidation ti
me as x similar to tb in agreement with a large number of experimental
data. The value of the exponent b is found to be in the range of 1/2
less than or equal to b less than or equal to 3/2 depending on the oxi
dation region. The model agrees with the Deal and Grove linear-parabol
ic law with no 'anomalous region' in the time dependence for short oxi
dation times. Furthermore, a supralinear regime is predicted in the ea
rly stages of the oxidation process.