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Unformatted text preview: D ∇ 2 C = 1 r ∂ ∂ r r ∂ C ∂ r = ∂ C ∂ t ≈ 0 → r ∂ C ∂ r = K =constant (b) Diffusion Equation in spherical co-ordinates D ∇ 2 C = 1 r 2 ∂ ∂ r r 2 ∂ C ∂ r = ∂ C ∂ t ≈ 0 → r 2 ∂ C ∂ r = K =constant Problem 3 Very thin oxide Growth Model Make an estimate for the additional oxide grown by using the following perturbational approach. Assume 1050 degrees centigrade, atmospheric pressure, no HCL, and no doping. Use the values for the thin oxide term in equation 6.37 on pp. 327 PDG. a) First assume k =0 in the thin oxide term and solve for the oxide thickness versus time. b) Now substitute this function for Xo in the exponential term to produce only a function of time on the right hand side. c) Now integrate the right hand side and find the integrated contribution of the additional oxide growth rate term. (It is purported to be 2.5 nm)...
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- Spring '03
- Thermal oxidation, oxide growth rate