Sw. Russell et al., REACTION-KINETICS IN THE TI SIO2 SYSTEM AND TI THICKNESS DEPENDENCE ON REACTION-RATE/, Journal of applied physics, 76(1), 1994, pp. 257-263
The reaction kinetics of Ti films on SiO2 were investigated using Ruth
erford backscattering spectrometry, x-ray diffraction, Auger electron
spectroscopy, and transmission electron microscopy. Consistent with ea
rlier studies, the reaction results in the formation of a TiO(w)/Ti5Si
3/SiO2 stack at temperatures in the range 700-820-degrees-C. As the si
licide layer grows, the concentration of O in TiO(w) increases, with t
he reaction ceasing at w is similar to 1.2. In addition, the reaction
rate depends on the initial Ti thickness, as thicker Ti films possess
faster reaction rates. Applying current diffusion-controlled kinetic g
rowth models, we find nominal agreement with our data at each thicknes
s and predict activation energies in the range 3.0-3.4 eV. However, su
ch a model is unable to account for either the Ti thickness dependence
or the slowing and eventual cessation of silicide formation as the ox
ide composition approaches its limiting value. We implement a model wh
ich takes into account the reduction in the thermodynamic driving forc
e for T5Si3 formation due to the incorporation of oxygen into the over
lying Ti. This model predicts a silicide growth relationship of the fo
rm kt=(1/2)x2+ax(f)2SIGMA(n=3)infinity(1/n)(x/x(f))n, with k independe
nt of Ti thickness and given by k=k0 exp(-DELTAE/k(B)T). The final Ti5
Si3 thickness, x(f), is determined by the initial Ti thickness, the st
oichiometries of each phase formed and the final oxide composition. Th
is model yields a more accurate fit to our data than if we assume para
bolic growth since it predicts the eventual cessation of the reaction
as x approaches x(f). We find DELTAE=2.9+-0.1 eV Our model also seems
to explain the dependence on initial Ti thickness.