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Simulation of Porous Silicon Formation by Diffusion Limited Reaction

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1 Simulation of Porous Silicon Formation by Diffusion Limited Reaction
David Barth EPS 109 Final Project

2 Porous Silicon Formed by electrochemical reaction
Can be considered two diffusion limited half reactions ๐‘†๐‘–+2 ๐ป 2 ๐‘‚+2 โ„Ž + โ†’๐‘†๐‘– ๐‘‚ 2 + ๐ป 2 +2 ๐ป + ๐‘†๐‘– ๐‘‚ 2 +6๐ป๐นโ†’๐‘†๐‘– ๐น 6 2โˆ’ + ๐ป 2 ๐‘‚+2 ๐ป + Tried to simulate both by separate random walk simulations Replaced second random walk with probability of dissolution at each step

3 Porous Silicon

4 Growth and Cross Sectional View
Visualization of thousands of points in 3D is tricky. Patch data is too slow. Porosity is much lower than we actually see in porous silicon. ~ 5% Crystal Structure and electrical properties are very important, and not captured here. To start simulation, run psiEtching.m


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