Question: Using Taylor expansion, a) derive the expression for the chemical potential difference between Zr atoms at flat surfaces and hollow surfaces (at the surface of

Using Taylor expansion, 

a) derive the expression for the chemical potential difference between Zr atoms at flat surfaces and hollow surfaces (at the surface of a spherical hole with radius r). 

b) If the spherical hole has a radius of 10 nm and the partial molar volume of av. ON of Zr is 14.1 cm/mole, compute the chemical potential difference Zr atoms feel between a flat surface and the hollow surface in units of eV/atom.r

av. ON of Zr is 14.1 cm/mole,

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