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CHEMICAL VAPOR DEPOSITION OF THIN FILM MATERIALS FOR ...

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susceptor, the flow pattern can be distorted to a certain degree at the beginning, but shortly it will<br />

restore to a balanced laminar flow between the susceptor/substrate and the tube wall. This effect<br />

should not affect the thin film growth considering the small influence on the diffusion behavior<br />

in the stationary boundary layer right above the substrate surface. In an axisymmetric CVD<br />

reactor, the flow pattern is more complicated due to the velocity change in both axial and radial<br />

directions when flowing onto the substrate surface. The velocity boundary layer thicknesses are<br />

never going to be much smaller than the susceptor radius under any reasonable flow<br />

conditions.[7]<br />

After the bulk convection delivers the gaseous precursors to the vicinity of the substrate<br />

surface, the convective transport will change to diffusive behavior in a stagnant boundary layer<br />

due to a no-slip boundary condition (velocity at the wall is zero) and viscous friction. The mass<br />

transfer through this layer is driven by the concentration gradient from the bulk gas phase to the<br />

substrate surface where the thin film forming reaction consumes incoming species. The diffusion<br />

kinetics is illustrated by Fick's law, which relates the mass diffusion flux to the concentration<br />

gradient and a diffusivity constant. This diffusivity constant is dependent on certain gas kinetic<br />

parameters introduced earlier, i.e., the mean molecular speed ( ) and mean free path. Considering<br />

the relative kinetics of this diffusion step and the following surface reaction, either of them can<br />

be a rate control step for the thin film growth. A simple model for the understanding of the<br />

control mode is introduced here. Assuming steady-state CVD thin film growth and negligible<br />

desorption/reevaporation, the diffusing species A moving from the bulk gas phase ( nb) to the<br />

growing surface (n0) possesses a diffusivity constant of D and encounters a boundary layer<br />

thickness of δ. According to Fick's law, we can obtain<br />

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