Test 3 Review - Exam 3 Review 1 Nucleation a Homogeneous i...

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Exam 3 Review 1) Nucleation a) Homogeneous i) Top curve retarding force – surface energy liquid solid ii) Bottom curve – driving force – volume free energy dGv iii) Middle curve – resultant - b) Heterogeneous nucleation c) Know Graphs 2) Arrhenius Reaction Rate = Ce -Q/RT i) C – constant ii) Q – activation Energy iii) R – molar gas const. iv) Temp (K) v) Ln(ratre) = lnC – Q/R * 1/T vi) Y = b + mx 3) Diffusion a) Vacancy mechanism i) Ex: dopant atoms in silicon (1) They replace certain silicon atoms in the lattice (2) Vacancy mechanish – not very many vacancies, moving around is slower b) Interstitial mechanism is much faster because the atoms are small enough to move in the interstitial sites in the lattice. 4) Ficks 1 st law a) J = D* dC / dX b) J flux – atoms/s.m 2 /s c) D – Diffusivity – m 2 d) dC / dX – concentration gradient – atoms/m 3 /m e) lower free energy by increasing entropy – making it less random 5) Ficks 2 nd law a) dCx/dt = d/dx(D*dCx/dx) b) constant surface concentration – C s c)
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