Thermal oxidation of silicon is usually performed at a temperature between 800 and 1200
°C, resulting in a so-called
High Temperature Oxide layer (HTO). It may use either
water vapor (usually
UHP steam) or molecular
oxygen as the oxidant; it is consequently called either
wet or
dry oxidation. The reaction is one of the following: :\rm Si + 2H_2O \rightarrow SiO_2 + 2H_{2\ (g)} :\rm Si + O_2 \rightarrow SiO_2 \, The oxidizing ambient may also contain several percent of
hydrochloric acid (HCl). The chlorine neutralizes metal ions that may occur in the oxide. Thermal oxide incorporates silicon consumed from the substrate and oxygen supplied from the ambient. Thus, it grows both down into the wafer and up out of it. For every unit thickness of silicon consumed, 2.17 unit thicknesses of oxide will appear. If a bare silicon surface is oxidized, 46% of the oxide thickness will lie below the original surface, and 54% above it.
Deal-Grove model According to the commonly used Deal-Grove model, the time
τ required to grow an oxide of thickness
Xo, at a constant temperature, on a bare silicon surface, is: :\tau = \frac{X_o^2}{B} + \frac{X_o}{(\frac{B}{A})} where the constants A and B relate to properties of the reaction and the oxide layer, respectively. This model has further been adapted to account for
self-limiting oxidation processes, as used for the fabrication and morphological design of
Si nanowires and other nanostructures. If a
wafer that already contains oxide is placed in an oxidizing ambient, this equation must be modified by adding a corrective term τ, the time that would have been required to grow the pre-existing oxide under current conditions. This term may be found using the equation for
t above. Solving the quadratic equation for
Xo yields: :X_o(t) = A/2 \cdot \left[ \sqrt{1+\frac{4B}{A^2}(t+\tau)} - 1 \right] == Oxidation technology ==