Chapter 10.3

Chapter 10.3 - Rate of homogeneous nucleation G Qd N ~ exp...

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11 MSE 2090: Introduction to Materials Science Chapter 10, Phase Transformations Rate of homogeneous nucleation kT Δ G exp kT Q exp N * d ~ & kT Δ G exp * kT Q exp d N & m T Temperature Δ G* is too high - nucleation is suppressed ( ) () kT Q exp kT Δ G exp d * << d * Q Δ G > d * Q Δ G ( ) kT Q exp kT Δ G exp d * > Δ G*~ 1/ Δ T 2 – decreases with T – sharp rise of homogeneous nucleation (diffusion is still active) kT Q exp d – too small – low atomic mobility suppresses the nucleation rate
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12 MSE 2090: Introduction to Materials Science Chapter 10, Phase Transformations Heterogeneous nucleation Let’s consider a simple example of heterogeneous nucleation of a nucleus of the shape of a spherical cap on a wall of a container. Three surface energies: γ LC – liquid container interface, γ LS – liquid-solid interface, γ SC – solid-container interface.
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This note was uploaded on 02/14/2012 for the course MSE 2090 taught by Professor Leoindzhiglei during the Fall '10 term at UVA.

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Chapter 10.3 - Rate of homogeneous nucleation G Qd N ~ exp...

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