2015
DOI: 10.1134/s1063785015010277
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Thermodynamic determination of the critical radii of surface and subsurface cobalt clusters in the cobalt-copper system

Abstract: We have considered the thermodynamics of the formation of cobalt clusters on the surface of a copper substrate and in its subsurface region. Free energies of the formation of surface and subsurface clusters are calculated, and their critical radii are estimated.

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“…The reason for this transition is the gain in the free energy of the system, because the energy of the disappearing "Co cluster-vacuum" interface is greater than the total energy of the emerging "Cu-vacuum" and the "Co cluster-Cu" interfaces. [17] As a result, for the cluster size distribution function f l (R l ,t), we have the following equation (see, e.g., Ref. [9]): @f l ðR l ; tÞ @t ¼ W lc ðtÞ À @ @R l f l ðR l ; tÞ dR l ðtÞ dt þg l f s ðR s ; tÞ/t s :…”
Section: Physical Modelmentioning
confidence: 99%
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“…The reason for this transition is the gain in the free energy of the system, because the energy of the disappearing "Co cluster-vacuum" interface is greater than the total energy of the emerging "Cu-vacuum" and the "Co cluster-Cu" interfaces. [17] As a result, for the cluster size distribution function f l (R l ,t), we have the following equation (see, e.g., Ref. [9]): @f l ðR l ; tÞ @t ¼ W lc ðtÞ À @ @R l f l ðR l ; tÞ dR l ðtÞ dt þg l f s ðR s ; tÞ/t s :…”
Section: Physical Modelmentioning
confidence: 99%
“… that the process of burying of stable surface clusters is possible, i.e., transition of surface clusters into the subsurface layers (process 8, Figure ). The reason for this transition is the gain in the free energy of the system, because the energy of the disappearing “Co cluster‐vacuum” interface is greater than the total energy of the emerging “Cu‐vacuum” and the “Co cluster‐Cu” interfaces . As a result, for the cluster size distribution function f l (R l ,t), we have the following equation (see, e.g., Ref.…”
Section: Physical Modelmentioning
confidence: 99%
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