What is the activation energy of SiO2 oxidation?

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    Activation Energy
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SUMMARY

The activation energy of SiO2 oxidation can be calculated using the Arrhenius equation, represented as k = A e^{-E_a/kT}. By plotting ln(k) against 1000/T (K-1), the activation energy (E_a) is determined from the slope of the linear fit. It is important to note that while ln(k) is commonly used, log10(k) can also be applied with the change of base formula. Challenges may arise in extracting the parabolic constant and intercept from the oxidation time versus thickness graph, particularly when applying the Deal and Grove model for dry oxygen oxidation.

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mama79
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Hi..
How to calculate the activation energy of oxidation of Si. For example, from the Arrhenius plot (parabolic constant versus 1000/T (K-1)).
 
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If you have an Arrhenius plot of the rate constant, it's pretty simple. You have
[itex]k = A e^{-E_a/kT}[/itex]
Take the logarithm, which is what you plot:
[itex]ln(k) = ln(A) -E_a/kT[/itex]
So the activation energy is proportional to the slope of the plot, which means you just do a linear fit and multiply the slope by a constant. Note that sometimes people plot log10(k) instead of the natural logarithm, but you can deal with that by applying the change of base formula.
 
Thank you very much..
So far, I have difficulties to extract the parabolic constant and intercept of the graph (t/xo+t1) vs xo), where t is oxidation time, xo is thickness and t1 is the time value after extrapolating the curve of oxidation time vs thickness (refer to deal and grove) model. This equation is for the dry oxygen case.
 

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