Range in solid surface for liquid-liquid phase separation

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alan
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I am investigating the nucleation on solid surface during liquid-liquid phase separation,
I know the free energy change is
upload_2017-3-22_0-59-23.png
and
upload_2017-3-22_1-3-24.png

I don't know if it is correct to get
upload_2017-3-22_1-3-33.png

Can someone calculate it to have a check?
 

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Without more information, it is not possible to calculate the free energy change associated with nucleation on solid surfaces during liquid-liquid phase separation. The exact calculation would depend on the specific system being studied, and would require detailed knowledge of the thermodynamic properties of both liquids and the solid surface.