Shrinking kinetics by vacancy diffusion of a pure element hollow nanosphere |
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| Authors: | A V Evteev E V Levchenko I V Belova |
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| Institution: | Diffusion in Solids Group , School of Engineering , University of Newcastle, Callaghan, NSW, 2308, Australia |
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| Abstract: | In this paper, shrinking via the vacancy mechanism of a hollow mono-atomic nanosphere is described. Using Gibbs–Thomson boundary conditions, an exact solution is obtained for the kinetic equation in quasi steady-state at the linear approximation. Collapse time as a function of the geometrical size of a hollow nanosphere is found. An extension to hollow binary alloy nanospheres is also made. Previous Monte Carlo simulations of this problem are discussed. |
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