Nearest neighbor broken bond model

Figure 12. For a fee erystal (from Ref. 32) (a) eontour lines of the surfaee free energy y based on the nearest-neighbor broken-bond model and (b) and (e) eorre-sponding y plots—the horizontal axis is sealed taking into aeeount the angular distanees between the faees the free surfaee energy relative to the (210) faee is plotted on the vertieal axis.

The relative surface energy [see y plot of Section III.5(iii) for the fee system Fig. 12] varies with the co the comparison established between the relative surface energy [relative to the (210) face for the fee system] and the pzc of gold faces is surprisingly good if we keep in mind that the former parameter is calculated from a model (in the nearest-neighbor broken-bond approximation) [see Section III.5(iii)] and the latter parameter is experimental (Fig. 20). 

Table 11.1 A sample calculation of relative surface energies in a simple fee crystal based on the broken bond model when the first and second nearest-neighbor interaction are considered.

Fig. 3. Schematic illustration of the Flory-Huggins lattice model for a polymer mixture. Lattice sites taken by (effective) monomers are indicated by full dots lattice sites taken by vacancies are denoted by empty circles. Chains of type A are indicated by thick bonds between the monomers, and B chains by wavy bonds. Nearest neighbor nonbonded interactions between monomers of the same kind (eAA or eBb) are shown as full straight lines and those between monomers of a different kind (eAB) by broken lines. Interactions between monomers and vacancies (or solvent molecules, respectively), eAV and ebv, could be introduced as well but will be assumed here to be zero throughout...

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