Binding energies and energy of nucleation

The detachment-attachment probability ratio det, .jr / att,M, for given sitez of a crystalline cluster is independent of the cluster size characterized by , but depends on the configuration of the site x (cf. Section 2.2). The product n(iV), 

This equation is obtained by multiplication of the ratio fiidiss,i / dep.j for an arbitrary potential, E, as obtained from (2.7) and (2.8), with the ratio yatt,kink/ ydel,kink for a kink site at the Nemst potential, Me/Me +, where att,kink= del,kink - Th entities g and ink s are the dissociation enthalpies of an atom fi om a site a and fi-om a kink site, respectively (cf. Section 2.2). 

at an arbitrary site x, the atom is in contact with the substrate,. 5 also includes the respective bond energy of this atom to the substrate. The subscript s in denotes that, in the calculation of the deposition-dissolution energies, the interaction of the metal ion with the solution should also be taken into account. 

N bulk atoms and of N atoms as arranged in the cluster. This excess energy is connected with the unsaturated bonds of the atoms on the surface of the cluster and can be identified as a surface energy. It may include, however, additional energy terms 

A comparison with eq, (4.16) shows that the sum of the exponents of eq, (4.46) is equivalent to the formation energy of the cluster of size N  

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