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Model 1 Shrinkage of Pure Element Nanoshells

The boundary conditions for vacancies were formulated by Equation 7.2. [Pg.195]

Internal shell/vacuum (or inert medium) and external surfaces move due to vacancy fluxes as [Pg.195]

Substituting the expression Equation 7.10 into Equations 7.5 and 7.6 for the boundary movement, we obtain the following simple equations for the shrinkage [Pg.196]

Equations 7.11 and 7.12 are not independent and already contain the conservation of matter (and volume) [Pg.196]

Substitution of Equation 7.15 in Equation 7.11 and taking account of Equation 7.13 [Pg.196]


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Element Model

Nanoshell

Nanoshells

Pure element

Shrinkage

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